Interpolation, Schur Functions Topics in Fractional ... · problems for hyperbolic differential...

News 5/2012 Mathematics

31

S. Abbas, Université de Saïda, Algeria; M. Benchohra, Université de Sidi Bel-Abbès, Algeria; G. M. N‘Guérékata, Morgan State University, Baltimore, MD, USA

Topics in Fractional Differential Equations Topics in Fractional Differential Equations is de-voted to the existence and uniqueness of solutions for various classes of Darboux problems for hyper-bolic differential equations or inclusions involving the Caputo fractional derivative. Fractional calculus generalizes the integrals and derivatives to non-integer orders. During the last decade, fractional calculus was found to play a fundamen-tal role in the modeling of a considerable number of phenomena; in particular the modeling of memory-dependent and complex media such as porous media.

Features 7 Discusses the progress of fractional calculus as a tool in the study of dynamical systems 7 Pre-sents solutions to the various classes of Darboux problems for hyperbolic differential equa-tions 7 Addresses a wide audience of specialists including mathematicians, engineers, biologists, and physicists

Contents Preface.- 1. Preliminary Background.- 2. Partial Hyperbolic Functional Differential Equations.- 3. Partial Hyperbolic Functional Differential Inclu-sions.- 4. Impulsive Partial Hyperbolic Functio-nal Differential Equations.- 5. Impulsive Partial Hyperbolic Functional Differential Inclusions.- 6. Implicit Partial Hyperbolic Functional Differential Equations.- 7. Fractional Order Riemann-Liouville Integral Equations.- References.- Index.

Fields of interestsPartial Differential Equations; Integral Equations; Difference and Functional Equations

Target groupsResearch

Discount groupProfessional Non-Medical

Due July 2012

2012. XXIV, 344 p. (Developments in Mathematics, Volume 27) Hardcover7 $129.00ISBN 978-1-4614-4035-2

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D. Alpay, Ben Gurion University of the Negev, Beer Sheva, Israel; B. Kirstein, University of Leipzig, Germany (Eds)

Interpolation, Schur Functions and Moment Problems IIThe origins of Schur analysis lie in a 1917 article by Issai Schur in which he constructed a numeri-cal sequence to correspond to a holomorphic con-tractive function on the unit disk. These sequences are now known as Schur parameter sequences. Schur analysis has grown significantly since its beginnings in the early twentieth century and now encompasses a wide variety of problems related to several classes of holomorphic functions and their matricial generalizations. These problems include interpolation and moment problems as well as Schur parametrization of particular classes of con-tractive or nonnegative Hermitian block matrices. This book is primarily devoted to topics related to matrix versions of classical interpolation and mo-ment problems. The major themes include Schur analysis of nonnegative Hermitian block Hankel matrices and the construction of Schur-type algo-rithms. This book also covers a number of recent developments in orthogonal rational matrix func-tions, matrix-valued Carathéodory functions and maximal weight solutions for particular matricial moment problems on the unit circle.

Features 7 Focus on new results and original re-search 7 Most approaches and techniques pre-sented for the first time in an easily understandab-le format 7 Topics covered reflect new trends in Schur analysis and new areas for future studies

Fields of interestsOperator Theory; Integral Transforms, Operatio-nal Calculus; Functions of a Complex Variable



Available

2012. Approx. 320 p. (Operator Theory: Advances and Applications / Linear Operators and Linear Systems, Volume 226) Hardcover7 approx. $129.00ISBN 978-3-0348-0427-1

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V. Arnold, Russian Academy of Sciences, Moscow, Russia; S. Gusein-Zade, Moscow State University, Russia; A. Varchenko, University of North Carolina, Chapel Hill, NC, USA

Singularities of Differentiable Maps, Volume 1Classification of Critical Points, Caustics and Wave Fronts

Contents Part I. Basic concepts.- The simplest examples.- The classes Sigma^ I .- The quadratic differential of a map.- The local algebra of a map and the Weierstrass preparation theorem.- The local multiplicity of a holomorphic map.- Stability and infinitesimal stability.- The proof of the stability theorem.- Versal deformations.- The classifi-cation of stable germs by genotype.- Review of further results.- Part II. Critical points of smooth functions.- A start to the classification of critical points.- Quasihomogeneous and semiquasiho-mogeneous singularities.- The classification of quasihomogeneous functions.- Spectral sequences for the reduction to normal forms.- Lists of singu-larities.- The determinator of singularities.- Real, symmetric and boundary singularities.- Part III. Singularities of caustics and wave fronts.- Lagran-gian singularities.- Generating families.- Legend-rian singularities.- The classification of Lagrangian and Legendrian singularities.- The bifurcation of caustics and wave fronts.- References.- Further references.- Subject Index.

Fields of interestsAnalysis; Algebraic Geometry; Differential Geo-metry



Due May 2012

2012. IX, 382 p. 62 illus. (Modern Birkhäuser Classics) Softcover7 approx. $69.95ISBN 978-0-8176-8339-9

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www.springer.com/978-1-4614-4035-2



Mathematics springer.com/NEWSonline

32

V. Arnold, Russian Academy of Sciences, Moscow, Russia; S. Gusein-Zade, Moscow State University, Russia; A. Varchenko, University of North Carolina, Chapel Hill, NC, USA

Singularities of Differentiable Maps, Volume 2Monodromy and Asymptotics of Integrals

Contents Part I. The topological structure of isolated critical points of functions.- Introduction.- Elements of the theory of Picard-Lefschetz.- The topology of the non-singular level set and the variation operator of a singularity.- The bifurcation sets and the monodromy group of a singularity.- The intersection matrices of singularities of func-tions of two variables.- The intersection forms of boundary singularities and the topology of complete intersections.- Part II. Oscillatory integrals.- Discussion of results.- Elementary integrals and the resolution of singularities of the phase.- Asymptotics and Newton polyhedra.- The singular index, examples.- Part III. Integrals of holomorphic forms over vanishing cycles.- The simplest properties of the integrals.- Complex oscillatory integrals.- Integrals and differential equations.- The coefficients of series expansions of integrals, the weighted and Hodge filtrations and the spectrum of a critical point.- The mixed Hodge structure of an isolated critical point of a holomorphic function.- The period map and the intersection form.- References.- Subject Index.

Fields of interestsAnalysis; Algebraic Geometry; Differential Geo-metry



Due May 2012

2012. VIII, 503 p. 74 illus. (Modern Birkhäuser Classics) Softcover7 approx. $69.95ISBN 978-0-8176-8342-9

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J. Awrejcewicz, Technical University of Łódź, Poland

Classical MechanicsKinematics and Statics

This is the first volume of three, devoted to Mechanics. This book contains classical mecha-nics problems including kinematics and statics. It is recommended as a supplementary textbook for undergraduate and graduate students from mechanical and civil engineering, as well as for physical scientists and engineers. It contains a ba-sic introduction to classical mechanics, including fundamental principles, statics, and the geome-try of masses, as well as thorough discussion on kinematics.

Features 7 Provides the reader with a step-by-step intro-duction to the material, enabling them to learn quickly 7 Makes a bridge between theoretical (physics) and applied (engineering) classical mechanics 7 Contains numerous examples supported by color figures, illustrating various theoretical concepts

Contents Preface.- 1. Fundamental Principles of Mecha-nics.- 2. Statics.- 3. Geometry of Masses.- 4. Kinematics of a Particle and Introduction to Kinematics of Rigid Bodies.- 5. Kinematics of a Rigid Body and Composite Motion of a Point.- 6. Kinematics of a Deformable Body.

Fields of interestsMathematical Physics; Mechanics; Engineering Design

Target groupsGraduate


Due July 2012

2012. X, 456 p. 228 illus., 227 in color. (Advances in Mechanics and Mathematics, Volume 28) Hardcover7 $169.00ISBN 978-1-4614-3790-1

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J. Awrejcewicz, Technical University of Łódź, Poland; Z. Koruba, Kielce University of Technology, Poland

Classical MechanicsApplied Mechanics and Mechatronics

This is the last book of three devoted to Me-chanics, and uses the theoretical background presented in Classical Mechanics: Kinematics and Statics and Classical Mechanics: Dynamics. It focuses on exhibiting a unique approach, rooted in the classical mechanics, to study mechanical and electromagnetic processes occurring in Mecha-tronics. Contrary to the majority of the books devoted to Applied Mechanics, this volume places a particular emphasis on theory, modeling, ana-lysis, and control of gyroscopic devices, including the military applications. This volume provides practicing mechanical/mechatronic engineers and designers, researchers, graduate and postgraduate students with a knowledge of mechanics focused directly on advanced applications.

Features 7 Provides the reader with recent achievements in advanced applied mechanics and mechantro-nics 7 Includes direct engineering-oriented applications of gyroscopes 7 Contains nu-merous examples supported by color figures, illustrating theoretical concepts with computatio-nal examples

Contents Preface.- List of Symbols.- 1. Dynamics in Me-chatronic Systems.- 2. Equations of Motion of a Rigid Spherical Body.- 3. Theory of Gyroscopes.- 4. Dynamics and Control of a Gyroscope.- 5. Gyroscopic Control in Self-Guidance Systems of Flying Objects.

Fields of interestsMathematical Physics; Mechatronics; Mechanics



Due July 2012

2012. XXIV, 256 p. 171 illus., 146 in color. (Advances in Mechanics and Mathematics, Volume 30) Hardcover7 $109.00ISBN 978-1-4614-3977-6

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33

E. Behrends, Freie Universität Berlin, Germany; N. Crato, J. F. Rodrigues, Universidade Técnica de Lisboa, Portugal (Eds)

Raising Public Awareness of MathematicsThis collective book aims to encourage and inspire actions directed towards raising public aware-ness of the importance of mathematical sciences for our contemporary society in a cultural and historical perspective. Mathematical societies, in Europe and in the world, are provided with ideas, blue-prints and contributions of concerted actions with other national or international organisa-tions and societies in matters of raising public awareness of science and technology and other important aspects of society with a strong compo-nent of mathematics. It is divided into four parts: • National experiences • Exhibitions / Mathematical Museums • Popularization activities • Populariza-tion: why and how?

Features 7 An invitation to realize public awareness projects 7 Information on international public awareness activities 7 What makes a mathemati-cal museum interesting?

Contents Preface.- Part 1 National Experiences.- Part 2 Exhibitions and Mathematical Museums.- Part 3 Popularisation Activities.- Part 4 Popularisation, Why and How.

Fields of interestMathematics, general

Target groupsPopular/general


Available

2013. 350 p. Softcover7 approx. $59.95ISBN 978-3-642-25709-4

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W. Benz, University of Hamburg, Germany

Classical Geometries in Modern ContextsGeometry of Real Inner Product Spaces

The focus of this book and its geometric notions is on real vector spaces X that are finite or infinite in-ner product spaces of arbitrary dimension greater than or equal to 2. It characterizes both euclidean and hyperbolic geometry with respect to natural properties of (general) translations and general distances of X. Also for these spaces X, it studies the sphere geometries of Möbius and Lie as well as geometries where Lorentz transformations play the key role. Proofs of newer theorems charac-terizing isometries and Lorentz transformations under mild hypotheses are included, such as for instance infinite dimensional versions of famous theorems of A.D. Alexandrov on Lorentz trans-formations. A real benefit is the dimension-free approach to important geometrical theories.

Features 7 Dimension-free presentation Inclusion of proofs of newer theorems characterizing isome-tries and Lorentz transformations under mild hypotheses 7 Common presentation for finite and infinite dimensional real inner product spaces X on an elementary basis, i.e., avoiding transfi-nite methods 7 Highlights like the projective approach to dimension-free hyperbolic geometry or the principle of duality are developed

Contents Preface.- 1 Translation Groups.- 2 Euclidean and Hyperbolic Geometry.- 3 Sphere Geometries of Möbius and Lie.- 4 Lorentz Transformations.- 5 δ–Projective Mappings, Isomorphism Theorems.- 6 Planes of Leibniz, Lines of Weierstrass, Varia.- A Notation and symbols.- B Bibliography.- Index.

Fields of interestsGeometry; Mathematical Methods in Physics



Available

3rd ed. 2012. XIV, 310 p. Hardcover7 approx. $129.00ISBN 978-3-0348-0419-6

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F. Campolongo, H. Jönsson, European Commission, Ispra (VA), Italy; W. Schoutens, Katholieke Universiteit Leuven, Belgium

Quantitative Assessment of Securisation DealsThe book draws on current research on model risk and parameter sensitivity of securitisation ratings. It provides practical ideas and tools that can facilitate a more informed usage of securitisation ratings. We show how global sensitivity analysis techniques can be used to better analyse and to enhance the understanding of the uncertainties inherent in ratings due to uncertainty in the input parameters. The text introduces a novel global rating approach that takes the uncertainty in the ratings into account when assigning ratings to securitisation products. The book also covers new prepayment and default models that overcome flaws in current models.

Features 7 Introduces new concepts 7 Peer reviewed

Contents Preface.-Introduction.-Introduction to Asset Backed Securities.-Cashflow modeling.-Determi-nistic Models.- Stochastic Models.- Model Risk and Parameter Sensitivity.-Global Sensitivity Analysis for ABS.-Summary.-A Large Homogene-ous Portfolio Approximation.- A.1 The Gaussian One-Factor Model and the LHP Approximation.-A.2 Calibrating the Distribution.-Bibliography.

Fields of interestsQuantitative Finance; Finance/Investment/Ban-king



Available

2012. Approx. 120 p. (SpringerBriefs in Finance) Softcover7 approx. $69.95ISBN 978-3-642-29720-5

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34

N. J. Daras, Hellenic Military Academy, Vari Attikis, Greece (Ed)

Applications of Mathematics and Informatics in Military ScienceContents Foreword.- Preface.- Table of Contents.- 1. The Significance of Research and Development for the National Defence and its Relation with the Military University Institutions (N. Uzunoglu).- 2. Selected Topics in Critical Element Detection (J.L. Walteros, P.M. Pardalos).- 3. Study of Engagement with Mobile Targets (S. Tassopoulos).- 4. Solving an Electromagnetic Scattering Problem in Chiral Media (C. Athanasiadis, S. Dimitroula, K. Skou-rogiannis).- 5. Orthonormality in Interpolation Schemes for Reconstructing Signals (N.J. Daras).- 6. Computer Graphics Techniques in Military Ap-plications (D. Christou, A. Danelakis, M. Mitrouli, D. Triantafyllou).- 7. Numerical Optimization for the Length Problem (C. Kravvaritis, M. Mitrouli).- 8. Adaptive Policies for Sequential Sampling under Incomplete Information and a Cost Constraint (A. Burnetas, O. Kanavetas).- 9. On a Lanchester Combat Model (G. Kaimakamis, N. B. Zogra-phopoulos.- 10. Land Warfare and Complexity (S. Dionysios).- 11. Wavelet Transform in remote sensing with Implementation in edge detection and noise reduction (P. N. Michalis).- 12. Optimal Orbital Coverage of Theater Operations and Targets (V. Oikonomou).- 13. A Birdʼs-Eye View of Modern Symmetric Cryptography from Com-binatorial Designs (C. Koukouvinos, D.E. Simos).- 14. On the Weak Convergence of an Empirical Estimator of the Discrete-Time Semi-Markov Kernel (S. Georgiadis, N. Limnios).- 15. Analysis methods for unreplicated factorial experiments (P. Angelopoulos, C. Koukouvinos, A. Skountzou).

Fields of interestsComputational Science and Engineering; Optimi-zation; Operations Research, Management Science



Due August 2012

2012. II, 224 p. 95 illus., 56 in color. (Springer Optimization and Its Applications, Volume 71) Hardcover7 $109.00ISBN 978-1-4614-4108-3

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Z.-L. Dou, Q. Zhang, Texas Christian University, Fort Worth, TX, USA

Six Short Chapters on Automorphic Forms and L-functions„Six Short Chapters on Automorphic Forms and L-functions“ treats the period conjectures of Shimura and the moment conjecture. These conjectures are of central importance in contem-porary number theory, but have hitherto remained little discussed in expository form. The book is divided into six short and relatively independent chapters, each with its own theme, and presents a motivated and lively account of the main topics, providing professionals an overall view of the conjectures and providing researchers intending to specialize in the area a guide to the relevant literature. Ze-Li Dou and Qiao Zhang are both associate professors of Mathematics at Texas Christian University, USA.

Features 7 Treats the period conjectures of Shimura and the moment conjecture, both central in number theory but little discussed in expository form 7 Provides motivational material to help reader understand the history and purpose of the main topics 7 Brief, relatively independent chapters with distinct themes, enable quick access and lucidity 7 Reaches the forefront of research quickly, and gives guide to literature

Contents Modular forms and the Shimura-Taniyama Con-jecture.- Periods of automorphic forms.- Lifting of automorphic forms.- Zeros of L-functions.- Spe-cial Values of L-functions.- Theta lifts and periods with respect to a quadratic extension.

Fields of interestsNumber Theory; Algebraic Geometry



Available

Jointly published with Science Press

Distribution rights in China: Science Press Ltd.

2013. Approx. 130 p. Hardcover7 approx. $109.00ISBN 978-3-642-28707-7

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T. Ernst, Uppsala University, Sweden

A Comprehensive Treatment of q-CalculusTo date, the theoretical development of q-calculus has rested on a non-uniform basis. Generally, the bulky Gasper-Rahman notation was used, but the published works on q-calculus looked different depending on where and by whom they were written. This confusion of tongues not only complicated the theoretical development but also contributed to q-calculus remaining a neglected mathematical field. This book overcomes these problems by introducing a new and interesting notation for q-calculus based on logarithms.

Features 7 Covers many topics on q-calculus, i.e. special functions, combinatorics, q-difference equations and q-Bernoulli numbers 7 Detailed coverage of the historical development of q-calculus 7 Sum-marizes the domains of moderns physics for which q-calculus is applicable, i.e. particle physics and supersymmetry 7 Introduction of a new lo-garithmic notation for q-calculus that supersedes the older Gaspar-Rahman notation

Contents 1 Introduction.- 2 The different languages of q.- 3 Pre q-Analysis.- 4 The q-umbral calculus and the semigroups. The Nørlund calculus of finite diff.- 5 q-Stirling numbers.- 6 The first q-functions.- 7 An umbral method for q-hypergeometric series.- 8 Applications of the umbral calculus.- 9 Ciglerian q-Laguerre polynomials.- 10 q-Jacobi polyno-mials.- 11 q-Legendre polynomials and Carlitz-AlSalam polynomials.- 12 q-functions of many variables.- 13 Linear partial q-difference equa-tions.- 14 q-Calculus and physics.- 15 Appendix: Other philosophies.

Fields of interestsSpecial Functions; Number Theory



Available

2012. Approx. 490 p. Hardcover7 approx. $129.00ISBN 978-3-0348-0430-1

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35

H. M. Farkas, The Hebrew University of Jerusalem, Israel; R. C. Gunning, Princeton University, NJ, USA; M. I. Knopp, Temple University, Philadelphia, PE, USA; B. A. Taylor, University of Michigan, Ann Arbor, MI, USA (Eds)

From Fourier Analysis and Number Theory to Radon Transforms and GeometryIn Memory of Leon Ehrenpreis

Contents Preface. Biographical Sketch of Leon Ehrenpreis (Yael Ehrenpreis Meyer).- Differences of Partition Functions - The Anti-Telescoping Method(G.E. Andrews).- The Extremal Plurisubharmonic Func-tion for Linear Growth (D. Bainbridge).- Mahoni-an Partition Identities Via Polyhedral Geometry (M. Beck, B. Braun, N. Le).- Second Order Modu-lar Forms with Characters (T. Blann, N. Diaman-tis).- Disjointness of Moebius From Horocycle Flows (J. Bourgain, P. Sarnak, T. Zeigler).- Duality and Differential Operators for Harmonic MAASS Forms (K. Bringmann, B. Kane, R.C. Rhoades).- Function Theory Related to the Group PSL2(R) (R. Bruggeman, J. Lewis, D. Zagier).- Analysis of Degenerate Diffusion Operators Arising in Population Biology (C.L. Epstein, R. Mazzeo).- A Matrix Related to the Theorem of Fermat and the Goldbach Conjecture (H.M. Farkas).- Continuous Solutions of Linear Equations (C. Fefferman, J. Kollár).- Recurrence for Stationary Group Actions (H. Furstenberg, E. Glasner).- On the Honda—Ka-neko Congruences (P. Guerzhoy).- Some Intrinsic Constructions on Compact Riemann Surfaces (Robert C. Gunning).- The Parallel Refractor (C.E. Gutiérrez, F. Tournier).- On a Theorem of N. Katz and Bases in Irreducible Representations (D. Kazhdan).- Vector-valued Modular Forms with an Unnatural Boundary (M. Knopp, G. Mason). [...]

Fields of interestsPartial Differential Equations; Combinatorics; Number Theory



Due August 2012

2013. XXIV, 500 p. 1 illus. (Developments in Mathematics, Volume 28) Hardcover7 approx. $149.00ISBN 978-1-4614-4074-1

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S. Fröhlich, Johannes Gutenberg University, Mainz, Germany

Coulomb Frames in the Normal Bundle of Surfaces in Euclidean SpacesTopics from Differential Geometry and Geometric Analysis of Surfaces

This book is intended for advanced students and young researchers interested in the analysis of partial differential equations and differential geo-metry. It discusses elementary concepts of surface geometry in higher-dimensional Euclidean spaces, in particular the differential equations of Gauss-Weingarten together with various integrability conditions and corresponding surface curvatures. It includes a chapter on curvature estimates for such surfaces, and, using results from potential theory and harmonic analysis, it addresses geome-tric and analytic methods to establish the existence and regularity of Coulomb frames in their normal bundles, which arise as critical points for a func-tional of total torsion.

Contents Surface Geometry.- Elliptic Systems.- Normal Coulomb Frames in R4.- Normal Coulomb Frames in Rn+2

Fields of interestsDifferential Geometry; Partial Differential Equa-tions; Functions of a Complex Variable



Available

2012. Approx. 120 p. (Lecture Notes in Mathematics, Volume 2053) Softcover7 $49.95ISBN 978-3-642-29845-5

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A. Hinkis, Tel Aviv University, Israel

Proofs of the Cantor-Bernstein TheoremA Mathematical Excursion

Contents Preface. - Part I: Cantor and Dedekind.- Cantor‘s CBT proof for sets of the power of (II).- Genera-lizing Cantor‘s CBT proof.- CBT in Cantor‘s 1878 Beitrag.- The theory of inconsistent sets.- Com-parability in Cantor‘s writings.- The scheme of complete disjunction.- Ruptures in the Cantor-Dedekind correspondence.- The inconsistency of Dedekind‘s infinite set.- Dedekind‘s proof of CBT.- Part II: The early proofs.- Schröder‘s Proof of CBT.- Bernstein, Borel and CBT.- Schoenflies‘ 1900 proof of CBT.- Zermelo‘s 1901 proof of CBT.- Bernstein‘s Division Theorem.- Part III: Under the logicist sky.- Russell‘s 1902 proof of CBT.- The role of CBT in Russell’s Paradox.- Jourdain‘s 1904 generalization of Grundlagen.- Harward 1905 on Jourdain 1904.- Poincaré and CBT.- Peano‘s proof of CBT.- J. Kőnig‘s strings gestalt.- From kings to graphs.- Jourdain‘s improvements round.- Zermelo‘s 1908 proof of CBT.- Korselt‘s proof of CB.- Proofs of CBT in Principia Mathematica.- The origin of Hausdorff Paradox in BDT.- Part IV: At the Polish school.- Sierpiński‘s proofs of BDT.- Banach‘s proof of CBT.- Kuratowski‘s proof of BDT.- Early fixed-point CBT proofs: Whittaker; Tarski-Knaster.- CBT and BDT for order-types.- Sikorski‘s proof of CBT for Boolean algebras.- Tarski‘s proofs of BDT and the inequali-ty-BDT.- Tarski‘s Fixed-Point Theorem and CBT.- Reichbach‘s proof of CBT.- Part V: Other ends and beginnings.- Hellmann‘s proof of CBT.- CBT and intuitionism.- CBT in category theory.- Conclusi-on.- Bibliography.- Index of names. [...]

Fields of interestsHistory of Mathematical Sciences; Mathematical Logic and Foundations; Category Theory, Homo-logical Algebra



Available

2012. XIV, 398 p. (Science Networks. Historical Studies, Volume 45) Hardcover7 $129.00ISBN 978-3-0348-0223-9

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36

H. Hult, F. Lindskog, Royal Institute of Technology, Stockholm, Sweden; O. Hammarlid, C. J. Rehn, E. Öhman J:or Fondkommission AB, Stockholm, Sweden

Risk and Portfolio AnalysisPrinciples and Methods

Investment and risk management problems are fundamental problems for financial institutions and involve both speculative and hedging deci-sions. A structured approach to these problems naturally leads one to the field of applied mathe-matics in order to translate subjective probability beliefs and attitudes towards risk and reward into actual decisions. In Risk and Portfolio Analysis the authors present sound principles and useful methods for making investment and risk manage-ment decisions in the presence of hedgeable and non-hedgeable risks using the simplest possible principles, methods, and models that still capture the essential features of the real-world problems.

Features 7 Combines useful practical insights with rigorous yet elementary mathematics 7 The presentation of the theory goes hand in hand with numerous real-world examples 7 The books aims to demystify many commonly encountered approaches to risk management and portfolio choice by decomposing them into principles, methods, and models

Contents Interest rates and financial derivatives .-Convex optimization . -Quadratic hedging principles. -Quadratic investment principles. -Utility based investment principles. -Risk measurement prin-ciples. -Empirical methods. -Parametric models and their tails. -Multivariate models.

Fields of interestsQuantitative Finance; Statistics for Business/Economics/Mathematical Finance/Insurance; Operations Research, Management Science

Target groupsUpper undergraduate


Due August 2012

2012. XIV, 330 p. 40 illus. (Springer Series in Operations Research and Financial Engineering) Hardcover7 approx. $59.95ISBN 978-1-4614-4102-1

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B. Klartag, Tel Aviv University, Israel; S. Mendelson, Technion - Israel Institute of Technology, Haifa, Israel; V. D. Milman, Tel Aviv University, Israel (Eds)

Geometric Aspects of Functional AnalysisIsrael Seminar 2006–2010

Contents The α-Cosine Transform and Intertwining Integ-rals on Real Grassmannians.- On Modules Over Valuations.- On Multiplicative Maps of Conti-nuous and Smooth Functions.- Order Isomor-phisms on Convex Functions in Windows.- Finite Transitive Graph Embeddings into a Hyperbolic.- Metric Space Must Stretch or Squeeze.- Tightness of Fluctuations of First Passage Percolation on Some Large Graphs.- Finitely Supported Measures on SL2(R) which are Absolutely Continuous at Infinity.- Interpolations, Convexity and Geome-tric Inequalities.- Hypercontractive Measures, Talagrand‘s Inequality, and Inuences.- A Family of Unitary Operators Satisfying a Poisson-Type Sum-mation Formula.- Stability of Order Preserving Transforms.- On the Distribution of the 2-Norm of Linear Functionals on Isotropic Convex Bo-dies.- A Remark on Vertex Index of the Convex Bodies.- Inner Regularization of Log-Concave Measures and Small-Ball Estimates.- An Operator Equation Generalizing the Leibniz Rule for the Second Derivative.- Moments of Unconditional Logarithmically Concave Vectors.- Projections of Probability Distributions: A Measure-Theoretic Dvoretzky Theorem.- On a Loomis-Whitney Type Inequality for Permutationally Invariant Uncon-ditional Convex Bodies.- The Hörmander Proof of the Bourgain-Milman Theorem.- On Some Extension of Feige‘s Inequality.- On the Mean Width of Log-Concave.- Approximate Gaussian Isoperimetry for k Sets. [...]

Fields of interestsFunctional Analysis; Convex and Discrete Geome-try; Probability Theory and Stochastic Processes



Available

2012. Approx. 450 p. 2 illus., 1 in color. (Lecture Notes in Mathematics, Volume 2050) Softcover7 $59.95ISBN 978-3-642-29848-6

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T. Komorowski, Maria Curie Sklodowsky University, Lublin, Poland; C. Landim, IMPA, Rio de Janeiro, Brasil; S. Olla, Université Paris - Dauphine, Paris, France

Fluctuations in Markov ProcessesTime Symmetry and Martingale Approximation

The present volume contains the most advanced theories on the martingale approach to central limit theorems.

Features 7 Unique in mathematical literature covers the most advanced theories about martingale approach to central limit theorems 7 Deve-lops techniques that allow to deal with appli-cations in statistical mechanics and enginee-ring 7 Is of interest to probabilists, mathematical physicists and analysts

Contents Preface.- Part I: General Theory.- 1.A Warming-up Example.- 2.Central Limit Theorems.- 3.Ran-domWalks in Random Environment.- 4.Bounds and Variational Principles for the Asymptotic Variance.- Part II: Simple Exclusion Processes.- 5.The Simple Exclusion Process.- 6.Self Diffusion.- 7.Equilibrium Fluctuations of the Density Field.- 8.Regularity of the Asymptotic Variance.- Part III: Diffusions in Random Environments.- 10.Variati-onal Principles for the Limiting Variance.- 11.Dif-fusions with Divergence Free Drifts.- 12.Diffusions with Gaussian Drifts.- 13.Ornstein-Uhlenbeck Process with a Random Potential.- 14.Analytic Methods in Homogenization Theory.- References.- Notation.- Subject Index.

Fields of interestsProbability Theory and Stochastic Processes; Mathematical Physics



Available

2012. XVIII, 440 p. (Grundlehren der mathematischen Wissenschaften, Volume 345) Hardcover7 approx. $129.00ISBN 978-3-642-29879-0

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37

J. M. Lee, University of Washington, Seattle, WA, USA

Introduction to Smooth ManifoldsThis book is an introductory graduate-level text-book on the theory of smooth manifolds.

Features 7 New edition extensively revised and clarified, and topics have been substantially rearran-ged 7 Introduces the two most important ana-lytic tools, the rank theorem and the fundamental theorem on flows, much earlier in the text 7 Ad-ded topics include Sard’s theorem and transver-sality, a proof that infinitesimal Lie group actions generate global group actions, a more thorough study of first-order partial differential equations, a brief treatment of degree theory for smooth maps between compact manifolds, and an introduction to contact structures

Contents Preface.- 1 Smooth Manifolds.- 2 Smooth Maps.- 3 Tangent Vectors.- 4 Submersions, Immersions, and Embeddings.- 5 Submanifolds.- 6 Sard‘s The-orem.- 7 Lie Groups.- 8 Vector Fields.- 9 Integral Curves and Flows.- 10 Vector Bundles.- 11 The Cotangent Bundle.- 12 Tensors.- 13 Riemannian Metrics.- 14 Differential Forms.- 15 Orienta-tions.- 16 Integration on Manifolds.- 17 De Rham Cohomology.- 18 The de Rham Theorem.- 19 Dis-tributions and Foliations.- 20 The Exponential Map.- 21 Quotient Manifolds.- 22 Symplectic Manifolds.- Appendix A: Review of Topology.- Appendix B: Review of Linear Algebra.- Appendix C: Review of Calculus.- Appendix D: Review of Differential Equations.- References.- Notation Index.- Subject Index.

Fields of interestDifferential Geometry



Due August 2012

2nd ed. 2012. XVI, 716 p. 176 illus. (Graduate Texts in Mathematics, Volume 218) Hardcover7 approx. $99.95ISBN 978-1-4419-9981-8

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Z. Li, Shanghai University, China; S. He, City University of Hong Kong, Kowloon Tong, Hong Kong; S. Zhang, University of Minnesota, Minneapolis, MN, USA

Approximation Methods for Polynomial OptimizationPolynomial optimization have been a hot research topic for the past few years and its applications range from Operations Research, biomedical en-gineering, investment science, to quantum mecha-nics, linear algebra, and signal processing, among many others. In this brief the authors discuss some important subclasses of polynomial optimization models arising from various applications, with a focus on approximations algorithms with guaran-teed worst case performance analysis. The brief presents a clear view of the basic ideas underlying the design of such algorithms and the benefits are highlighted by illustrative examples showing the possible applications. This timely treatise will appeal to researchers and graduate students in the fields of optimization, computational mathema-tics, Operations Research, industrial engineering, and computer science.

Features 7 Discuss some important subclasses of polyno-mial optimization models arising from various applications 7 Focuses on approximations algo-rithms with guaranteed worst case performance analysis 7 Presents a clear view of the basic ideas underlying the design of algorithms and the benefits are highlighted by illustrative examples showing the possible applications

Contents 1. Introduction.-2. Polynomial over the Euclidean Ball.- 3. Extensions of the Constraint Sets.- 4. Applications.- 5. Concluding Remarks.

Fields of interestsOptimization; Mathematical Modeling and Indus-trial Mathematics; Algorithms



Due July 2012

2012. XII, 125 p. (SpringerBriefs in Optimization) Softcover7 $49.95ISBN 978-1-4614-3983-7

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A. Martin, University of Erlangen-Nuremberg, Erlangen, Germany; K. Klamroth, University of Wuppertal, Germany; J. Lang, TU Darmstadt, Germany; G. Leugering, A. Morsi, University of Erlangen-Nuremberg, Erlangen, Germany; M. Oberlack, M. Ostrowski, TU Darmstadt, Germany; R. Rosen, Siemens AG, Munich, Germany (Eds)

Mathematical Optimization of Water NetworksWater supply- and drainage systems and mixed water channel systems are networks whose high dynamic is determined and/or affected by consu-mer habits on drinking water on the one hand and by climate conditions, in particular rainfall, on the other hand.

Features 7 Investigates water networks from a mathema-tical perspective 7 Presents new insights and new methods 7 The mathematical solutions presented may allow for quality guarantees

Contents Part I Optimization of Water Supply Networks.- Modelling and Numerical Simulation of Pipe Flow Problems in Water Supply Systems.- Simulation and Continuous Optimization.- Mixed Integer Optimizationof Water Supply Networks.- Nonline-ar and Mixed Integer Linear Programming.- Part II Optimal Control of Sewer Networks.- Optimal Control of Sewer Networks Problem Descripti-on.- Modelling of Channel Flows with Transition Interface Separating Free Surface and Pressu-rized Channel Flows.- Optimal Control of Sewer Networks Engineers View.- Real-Time Control of Urban Drainage Systems.- Performance and Comparison of BlueM.MPC and Lamatto.- Multi-criteria Optimization in Wastewater Management.

Fields of interestsOptimization; Computational Mathematics and Numerical Analysis; Calculus of Variations and Optimal Control; Optimization



Available

2012. XXII, 202 p. (International Series of Numerical Mathematics, Volume 162) Hardcover7 approx. $119.00ISBN 978-3-0348-0435-6

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38

F. Morel, Ludwig-Maximilan-Universität Munich, Germany

A1-Algebraic Topology over a FieldThis text deals with A1-homotopy theory over a base field, i.e., with the natural homotopy theory associated to the category of smooth varieties over a field in which the affine line is imposed to be contractible. It is a natural sequel to the found-ational paper on A1-homotopy theory written together with V. Voevodsky. Inspired by classical results in algebraic topology, we present new techniques, new results and applications related to the properties and computations of A1-homotopy sheaves, A1-homology sheaves, and sheaves with generalized transfers, as well as to algebraic vector bundles over affine smooth varieties.

Contents 1 Introduction.- 2 Unramified sheaves and stron-gly A1-invariant sheaves.- 3 Unramified Milnor-Witt K-theories.- 4 Geometric versus canonical transfers.- 5 The Rost-Schmid complex of a stron-gly A1-invariant sheaf.- 6 A1-homotopy sheaves and A1-homology sheaves.- 7 A1-coverings.- 8 A1-homotopy and algebraic vector bundles.- 9 The affine B.G. property for the linear groups and the Grassmanian

Fields of interestsAlgebraic Geometry; K-Theory; Algebraic Topo-logy



Available

2012. X, 300 p. (Lecture Notes in Mathematics, Volume 2052) Softcover7 $59.95ISBN 978-3-642-29513-3

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J. Nešetřil, Charles University, Prague, Czech Republic; P. Ossona de Mendez, CNRS, Paris, France

SparsityGraphs, Structures, and Algorithms

This is the first book devoted to the systematic study of sparse graphs and sparse finite structu-res. Although the notion of sparsity appears in various contexts and is a typical example of a hard to define notion, the authors devised an unifying classification of general classes of structures. This approach is very robust and it has many remar-kable properties. For example the classification is expressible in many different ways involving most extremal combinatorial invariants.

Features 7 One of the first textbooks on the topic of sparsity - a core area of current discrete mathe-matics 7 Extremely useful to both mathemati-cians and computer scientists 7 Pedagogically excellent

Contents Part I Presentation: 1. Introduction.- 2. A Few Problems.- 3. Commented Contents.- Part II. The Theory: 4. Prolegomena.- 5. Measuring Sparsity.- 6. Classes and their Classification.- 7. Bounded Height Trees and Tree-Depth.- 8. Decompositi-on.- 9. Independence.- 10. First-Order Constraint Satisfaction Problems and Homomorphism Dualities.- 11. Restricted Homomorphism Duali-ties.- 12. Counting.- 13. Back to Classes.- Part III Applications: 14. Classes with Bounded Expansion – Examples.- 15. Property Testing, Hyperfiniteness and Separators.- 16. Algorithmic Applications.- 17. Other Applications.- 18. Conclusion.- Biblio-graphy.- Index.- List of Symbols .

Fields of interestsCombinatorics; Discrete Mathematics in Compu-ter Science; Convex and Discrete Geometry



Available

2012. XXIII, 457 p. 105 illus. in color. (Algorithms and Combinatorics, Volume 28) Hardcover7 $79.95ISBN 978-3-642-27874-7

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A. Ostermann, University of Innsbruck, Austria; G. Wanner, University of Geneve, Switzerland

Geometry by Its HistoryIn this textbook the authors present first-year geometry roughly in the order in which it was discovered. The first five chapters show how the ancient Greeks established geometry, together with its numerous practical applications, while more recent findings on Euclidian geometry are discussed as well. The following three chapters explain the revolution in geometry due to the progress made in the field of algebra by Descartes, Euler and Gauss. Spatial geometry, vector algebra and matrices are treated in chapters 9 and 10. The last chapter offers an introduction to projective geometry, which emerged in the 19thcentury. Complemented by numerous examples, exercises, figures and pictures, the book offers both moti-vation and insightful explanations, and provides stimulating and enjoyable reading for students and teachers alike.

Features 7 Valuable tool for teaching geometry with a strong emphasis of the historical development of the subject 7 Includes numerous examples, applications, exercises and figures 7 Stimulating and enjoyable reading for students in mathema-tics, physics, computer science and teachers alike

Contents Preface.- Part I: Classical Geometry.- Thales and Pythagoras.- The Elements of Euclid.- Conic Sec-tions.- Further Results on Euclidean Geometry.- Trigonometry.- Part II: Analytic Geometry.- De-scartes‘ Geometry.- Cartesian Coordinates.- To be Constructible, or not to be.- Spatial Geometry and Vector Algebra.- Matrices and Linear Mappings.- Projective Geometry.- Solutions to Exercises.- Re-ferences.- Figure Source and Copyright.- Index.

Fields of interestsGeometry; Algebraic Geometry; History of Ma-thematical Sciences

Target groupsUpper undergraduate

Available

2012. XII, 437 p. 452 illus., 61 in color. (Undergraduate Texts in Mathematics / Readings in Mathematics) Hardcover7 $79.95ISBN 978-3-642-29162-3

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39

V. Rivasseau, Université Paris-Sud, Orsay, France; R. Seiringer, McGill University, Montreal, Québec, QC, Canada; J. P. Solovej, University of Copenhagen, Denmark; T. Spencer, Institute for Advanced Study, Princeton, NJ ,USA

Quantum Many Body SystemsCetraro, Italy 2010

Editors: Alessandro Giuliani, Vieri Mastropietro, Jakob YngvasonScientific editor: A. Giuliani, V. Mastropietro, Universitá di Roma Tor Vergata, Italy; J. Yngvason, University of Vienna, Austria

The book is based on the lectures given at the CIME school „Quantum many body systems“ held in the summer of 2010. It provides a tutorial introduction to recent advances in the mathema-tics of interacting systems, written by four leading experts in the field: V.

Feature 7 Tutorial presentation of advanced topics introduces the reader to some of the most exciting topics of modern mathematical physics Examples and physical applications guide the reader towards a deep comprehension of sophisticated mathema-tical tools Serves as a guide through recent litera-ture on the mathematics of interacting fermionic and bosonic systems

Contents Introduction to the Renormalization Group with Applications to Non-Relativistic Quantum Electron Gases.- Cold Quantum Gases and Bose-Einstein Condensation.- Quantum Coulomb gases.- SUSY Statistical Mechanics and Random Band Matrices.

Fields of interestsMathematical Physics; Quantum Gases and Con-densates; Strongly Correlated Systems, Supercon-ductivity



Available

2012. X, 190 p. 12 illus., 1 in color. (Lecture Notes in Mathematics / C.I.M.E. Foundation Subseries, Volume 2051) Softcover7 $49.95ISBN 978-3-642-29510-2

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M. Ruzhansky, Imperial College London, UK; M. Sugimoto, Nagoya University, Japan; J. Wirth, University of Stuttgart, Germany (Eds)

Evolution Equations of Hyperbolic and Schrödinger TypeAsymptotics, Estimates and Nonlinearities

Evolution equations of hyperbolic or more general p-evolution type form an active field of current research. This volume aims to collect some recent advances in the area in order to allow a quick overview of ongoing research. The contributors are first rate mathematicians. This collection of research papers is centred around parametrix constructions and microlocal analysis; asymptotic constructions of solutions; energy and dispersive estimates; and associated spectral transforms. Applications concerning elasticity and general re-lativity complement the volume. The book gives an overview of a variety of ongoing current research in the field and, therefore, allows researchers as well as students to grasp new aspects and broaden their understanding of the area.

Feature 7 Overview of a variety of ongoing current research in the field of equations of hyperbolic and Schrödinger types Can serve as a quick introduc-tion to different aspects of the theory of evoluti-on partial differential equations from pure and applied points of view

Fields of interestsPartial Differential Equations; Operator Theory; Global Analysis and Analysis on Manifolds



Available

2012. Approx. 330 p. (Progress in Mathematics, Volume 301) Hardcover7 approx. $129.00ISBN 978-3-0348-0453-0

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A. Saberi, Washington State University, Pullman, WA, USA; A. A. Stoorvogel, University of Twente, Enschede, The Netherlands; P. Sannuti, Rutgers University, Piscataway, NJ, USA

Internal and External Stabilization of Linear Systems with ConstraintsFeatures 7 Fills a gap in literature, by unifying two decades of research in the field of linear systems with constraints 7 The first book to establish a comprehensive foundation for a systematic analysis and design of linear systems with general state and input constraints 7 Introduces new notions of external stability 7 For a broad audience of practicing engineers, graduate stu-dents, and researchers in control system theory and design 7 May be used as a textbook for an advanced graduate course or seminar in nonline-ar control systems theory and design in applied mathematics or engineering departments

Contents Preface.- Introduction and Preliminaries.- Internal and External Stability of Nonlinear Systems.- Classical Approaches for Handling Constraints.- Taxonomy of Constraints.- Design Methodolo-gies.- Internal Stabilization of Linear Systems with Constraints.- External L_p Stabilization of Linear Systems with Constraints.- Design Methodolo-gies.- Internal Stabilization of Linear Systems with Constraints.- Beyond L_p Stability.- Achieving Sa-tisfactory Performance with Guaranteed Internal and External Stability.- Additional Constraints on Controller Architecture: Decentralized Stabiliza-tion Subject to Constraints.- Conclusions.- Index

Fields of interestsSystems Theory, Control; Control, Robotics, Me-chatronics; Engineering Design



Due July 2012

2012. XX, 820 p. 55 illus., 30 in color. (Systems & Control: Foundations & Applications) Hardcover7 $189.00ISBN 978-0-8176-4786-5

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40

S. Schäffler, Universität der Bundeshwehr München, Munich, Germany

Global OptimizationA Stochastic Approach

This self-contained monograph presents a new stochastic approach to global optimization prob-lems arising in a variety of disciplines including mathematics, operations research, engineering, and economics. The volume deals with cons-trained and unconstrained problems and puts a special emphasis on large scale problems. It also introduces a new unified concept for unconstrai-ned, constrained, vector, and stochastic global optimization problems. All methods presented are illustrated by various examples. Practical numerical algorithms are given and analyzed in detail. The topics presented include the rando-mized curve of steepest descent, the randomized curve of dominated points, the semi-implicit Euler method, the penalty approach, and active set strategies. The optimal decoding of block codes in digital communications is worked out as a case study and shows the potential and high practical relevance of this new approach.

Features 7 Presents a stochastic approach to the dynamic research field of global optimization 7 Covers relevant prerequisites from differential geometry and probability theory 7 Reinforces theory through the necessary motivation and numerical results

Contents Preface.- Introduction.- Preliminaries.- The Approach.- Theoretical Results.- The Algorithm.- Numerical Results.- References.- Index.

Fields of interestsOptimization; Operations Research, Management Science



Due July 2012

2012. X, 156 p. 58 illus. (Springer Series in Operations Research and Financial Engineering) Hardcover7 approx. $109.00ISBN 978-1-4614-3926-4

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F. Verhulst, University of Utrecht, Netherlands

Henri PoincaréImpatient Genius

The book describes the life of Henri Poincaré, his work style and in detail most of his unique achievements in mathematics and physics. Apart from biographical details, attention is given to Poincaré‘s contributions to automorphic functions, differential equations and dynami-cal systems, celestial mechanics, mathematical physics in particular the theory of the electron and relativity, topology (analysis situs). A chapter on philosophy explains Poincaré‘s conventionalism in mathematics and his view of conventionalism in physics; the latter has a very different character. In the foundations of mathematics his position is between intuitionism and axiomatics. One of the purposes of the book is to show how Poincaré reached his fundamentally new results in many different fields, how he thought and how one should read him.

Features 7 First English biography of Poincaré 7 A large number of his key results are made accessible in relation to contemporary work 7 Short biogra-phical overviews of Poincaré’s links with other scientists he encountered

Contents The early years.- Academic education, 1873-1879.- Impressive results in Vesoul and Caen.- Career in Paris.- The prize competition of Oscar II.- Phi-losophy and essays.- At the end, what kind of a man?- Automorphic functions.- Differential equations and dynamical systems.- Analysis Si-tus.- Mathematical Physics.- Poincaré.- Historical data and biographical details.- References.- Index.-

Fields of interestsHistory of Mathematical Sciences; Mathematics, general; Astrophysics and Astroparticles

Target groupsProfessional/practitioner


Due May 2012

2012. X, 271 p. 58 illus., 8 in color. Hardcover7 $49.95ISBN 978-1-4614-2406-2

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K. Williams, Kim Williams Books, Italy (Ed)

Nexus Network Journal 13,3Architecture and Mathematics

Contents José Calvo-López: From Mediaeval Stonecutting to Projective Geometry.- José Carlos Palacios Gonzalo and Rafael Martín Talaverano: Geometric Tools in Juan De Álava’s Stonecutting Workshop.- Ana López Mozo: Ovals for Any Given Proportion in Architecture: A Layout Possibly Known in the Sixteenth Century.- Giuseppe Fallacara, Fiore Resta, Nicoletta Spallucci and Luc Tamboréro: The Vault of the Hôtel de Ville in Arles.- Rocío Carvajal Alcaide: Stairs in the Architecture Note-book of Juan de Portor y Castro: An Insight into Ruled Surfaces.- Miguel Alonso Rodríguez, Elena Pliego de Andrés and Alberto Sanjurjo Álvarez: Graphical Tools for an Epistemological Shift. The Contribution of Protoaxonometrical Drawing to the Development of Stonecutting Treatises.- Marta Salvatore: Prodromes of Descriptive Geometry in the Traité de stéréotomie by Amédée François Frézier.- Snežana Lawrence: Developable Surfaces: Their History and Application.- Enrique Rabasa: La Gournerie versus Monge.- Michael J. Ostwald: A Justified Plan Graph Analysis of the Early Houses (1975-1982) of Glenn Murcutt.- Ainei-as Oikonomou: The Use of the Module, Metric Models and Triangular Tracing in the Traditional Architecture of Northern Greece.

Fields of interestsMathematics, general; Architectural History and Theory



Available

2012. IV, 250 p. (Nexus Network Journal, Volume 13,3) Softcover7 $109.00ISBN 978-3-0348-0245-1

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41

K. Williams, Kim Williams Books, Italy (Ed)

Nexus Network Journal 14,1Architecture and Mathematics

The Winter 2012 (vol. 14 no. 1) issue of the Nexus Network Journal is dedicated to the theme “Architecture, Systems Research and Computati-onal Sciences”. This is an outgrowth of the session by the same name which took place during the eighth international, interdisciplinary conference “Nexus 2010: Relationships between Architecture and Mathematics, held in Porto, Portugal, in June 2010. Today computer science is an integral part of even strictly historical investigations, such as those concerning the construction of vaults, where the computer is used to survey the existing building, analyse the data and draw the ideal solution. What the papers in this issue make especially evident is that information technology has had an impact at a much deeper level as well: architecture itself can now be considered as a manifestation of information and as a complex system. The issue is completed with other research papers, conference reports and book reviews.

Features 7 A collection of papers regarding the research theme ?Architecture, Systems Research and Computational Sciences? 7 Includes 2 papers dedicated to student projects in architecture and mathematics, 4 other full-length research papers and one book review 7 Each research paper includes a bibliography for further reading 7 The NNJ is a peer-reviewed, scholarly journal for interdisciplinary studies between the architecture and mathematics, published since 1999

Fields of interestsMathematics, general; Architecture, general



Available

2012. Approx. 250 p. (Nexus Network Journal, Volume 14,1) Softcover7 approx. $119.00ISBN 978-3-0348-0392-2

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