Discrete mathematics Books
Springer Differential and Difference Dimension Polynomials 461 Mathematics and Its Applications
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£85.49
Springer Finite Fields Theory and Computation The Meeting Point of Number Theory Computer Science Coding Theory and Cryptography 477 Mathematics and Its Applications
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£170.99
Springer A Study of Braids 484 Mathematics and Its Applications
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£44.99
Springer Power Algebras over Semirings With Applications in Mathematics and Computer Science 488 Mathematics and Its Applications
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£104.49
Springer Fundamentals of Integrated Coastal Management 49 GeoJournal Library
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£123.49
Springer Fuzzy Sets Logics and Reasoning about Knowledge
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£123.49
Springer A Set of Examples of Global and Discrete Optimization
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£123.49
Springer Modern Projective Geometry 521 Mathematics and Its Applications
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£170.99
Springer NearRings and NearFields Proceedings of the Conference on NearRings and NearFields Stellenbosch South Africa July 916 1997
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£44.99
Springer Complex Systems 6 Nonlinear Phenomena and Complex Systems
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£85.49
Springer Polyoxometalate Chemistry From Topology Via Selfassembly to Applications
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£123.49
Springer Theory and Applications of HigherDimensional Hadamard Matrices 1 Combinatorics and Computer Science
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£44.99
Springer Us 3D Audio Using Loudspeakers 444 The Springer International Series in Engineering and Computer Science
Book Synopsis3-D Audio Using Loudspeakers is concerned with 3-D audio systems implemented using a pair of conventional loudspeakers. 3-D Audio Using Loudspeakers discusses the theory, implementation, and testing of a head-tracked loudspeaker 3-D audio system.Table of ContentsPreface. 1. Introduction. 2. Background. 3. Theory and Implementation. 4. Physical Validation. 5. Psychophysical Validation. 6. Discussion. A: Inverting FIR Filters. References. Index.
£123.49
Springer Conditional Monte Carlo
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£197.99
Scarecrow Press Foundations of Diatonic Theory
Book SynopsisFoundations of Diatonic Theory: A Mathematically Based Approach to Music Fundamentals is an introductory, undergraduate-level textbook that provides an easy entry point into the challenging field of diatonic set theory, a division of music theory that applies the techniques of discrete mathematics to the properties of diatonic scales. After introducing mathematical concepts that relate directly to music theory, the text concentrates on these mathematical relationships, firmly establishing a link between introductory pedagogy and recent scholarship in music theory. It then relates concepts in diatonic set theory directly to the study of music fundamentals through pedagogical exercises and instructions. Ideal for introductory music majors, the book requires only a general knowledge of mathematics, and the exercises are provided with solutions and detailed explanations. With its basic description of musical elements, this textbook is suitable for courses in music fundamentals, music theoTrade ReviewNot only does Foundations of Diatonic Theory accomplish its stated goals, but it does so in such a masterful way, and with such a refreshing approach, that after reading it, any course on music fundamentals, music and mathematics, or diatonic set theory taught without its perspective would feel incomplete. * GAMUT: Online Journal of the Music Theory Society of the Mid-Atlantic *Because of its innovative approach, Foundations of Diatonic Theory will come as a breath of fresh air for those who decide to incorporate it into fundamentals courses. It would also provide courses on music and mathematics, and on diatonic set theory, with a way of getting into the material that encourages students to think critically—a most desirable quality in a text, as critical thinking should be demanded of the student by any graduate or upper-division undergraduate course. If Johnson’s Montessori-style approach is contagious among the next generation of textbook authors, the benefits to theory students and instructors alike could be enormous. * GAMUT: Online Journal of the Music Theory Society of the Mid-Atlantic *Table of ContentsPart 1 Preface Part 2 Introduction Chapter 3 1. Spatial Relations and Musical Structures Chapter 4 2. Interval Patterns and Musical Structures Chapter 5 3. Triads and Seventh Chords and Their Structures Part 6 Conclusion Part 7 For Further Study Part 8 Notes Part 9 Sources Cited Part 10 Index
£59.00
Cambridge University Press ADE
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£70.00
Legare Street Press Isomorphism of Strongly Regular Graphs
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£21.80
Legare Street Press Theory Computation and Application of Exponential Splines
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£25.60
Creative Media Partners, LLC Faster Parametric Shortest Path and Minimum Balance Algorithms
£21.80
Creative Media Partners, LLC Faster Parametric Shortest Path and Minimum Balance Algorithms
£13.22
Creative Media Partners, LLC Online Algorithms for Finger Searching
£21.80
Creative Media Partners, LLC On the Complexity of Motion Planning for Multiple Independent Objects Pspace Hardness of the warehousemans Problem
£21.80
Creative Media Partners, LLC Online Algorithms for Finger Searching
£13.20
Creative Media Partners, LLC On the Complexity of Motion Planning for Multiple Independent Objects Pspace Hardness of the warehousemans Problem
£13.22
Creative Media Partners, LLC Multiple Extension Algebraic Number Fields
£21.80
Creative Media Partners, LLC Multiple Extension Algebraic Number Fields
£13.22
Creative Media Partners, LLC Tradeoffs Between Depth and Width in Parallel Computation
£21.80
Creative Media Partners, LLC Tradeoffs Between Depth and Width in Parallel Computation
£13.22
Creative Media Partners, LLC A Unified Theory of Interconnection Network Structure rev. Ed
£24.26
Creative Media Partners, LLC A Unified Theory of Interconnection Network Structure rev. Ed
£13.22
Creative Media Partners, LLC Scalable and Fault Tolerant Group Key Management
£22.75
Creative Media Partners, LLC Scalable and Fault Tolerant Group Key Management
£14.09
Creative Media Partners, LLC MultiClass Classification for Identifying JPEG Steganography Embedding Methods
£23.70
Creative Media Partners, LLC MultiClass Classification for Identifying JPEG Steganography Embedding Methods
£13.95
Random House USA Inc Proving Darwin
Book SynopsisGroundbreaking mathematician Gregory Chaitin gives us the first book to posit that we can prove how Darwin’s theory of evolution works on a mathematical level. For years it has been received wisdom among most scientists that, just as Darwin claimed, all of the Earth’s life-forms evolved by blind chance. But does Darwin’s theory function on a purely mathematical level? Has there been enough time for evolution to produce the remarkable biological diversity we see around us? It’s a question no one has yet answered—in fact, no one has attempted to answer it until now. In this illuminating and provocative book, Gregory Chaitin elucidates the mathematical scheme he’s developed that can explain life itself, and examines the works of mathematical pioneers John von Neumann and Alan Turing through the lens of biology. Fascinating and thought-provoking, Proving Darwin makes clear how biology may have found its greatest ally in mathematics
£15.19
Springer New York The Symmetric Group
Book Synopsis1 Group Representations.- 2 Representations of the Symmetric Group.- 3 Combinatorial Algorithms.- 4 Symmetric Functions.- 5 Applications and Generalizations.Trade ReviewFrom the reviews of the second edition: "This work is an introduction to the representation theory of the symmetric group. Unlike other books on the subject this text deals with the symmetric group from three different points of view: general representation theory, combinatorial algorithms and symmetric functions. ... This book is a digestible text for a graduate student and is also useful for a researcher in the field of algebraic combinatorics for reference." (Attila Maróti, Acta Scientiarum Mathematicarum, Vol. 68, 2002) "A classic gets even better. ... The edition has new material including the Novelli-Pak-Stoyanovskii bijective proof of the hook formula, Stanley’s proof of the sum of squares formula using differential posets, Fomin’s bijective proof of the sum of squares formula, group acting on posets and their use in proving unimodality, and chromatic symmetric functions." (David M. Bressoud, Zentralblatt MATH, Vol. 964, 2001)Table of Contents* Group Representations * Representations of the Symmetric Group * Combinatorial Algorithms * Symmetric Functions * Applications and Generalizations
£49.99
Springer New York A Course in Topological Combinatorics 0 Universitext
Book SynopsisA Course in Topological Combinatorics is the first undergraduate textbook on the field of topological combinatorics, a subject that has become an active and innovative research area in mathematics over the last thirty years with growing applications in math, computer science, and other applied areas.Trade Review“This book is an excellent introduction into the subject. … The book contains a lot of figures and each chapter ends with a group of exercises which help the reader in understanding the hard constructions and proofs. The book may serve for a one- or two-semester undergraduate course depending on the preliminary knowledges of the students.” (János Kincses, Acta Scientiarum Mathematicarum, Vol. 81 (3-4), 2015)“The present book … presents a sequence of combinatorial themes which have shown an affinity for topological methods … . This book is filled with extremely attractive mathematics … and bringing topology into the play of combinatorics and graph theory is a wonderfully elegant manoeuvre. Here it is carried out coherently, and on a pretty grand scale, and we are thus afforded the opportunity to encounter (algebraic) topology in a very seductive uniform context. What a marvelous thing!” (Michael Berg, MAA Reviews, July, 2013)“In the book’s four main chapters, Longueville (Univ. of Applied Sciences, Germany) addresses fair-division problems; graph coloring; graph property evasiveness; and embeddings and mappings. … Basic results of algebraic topology already have powerful consequences for analysis, but the subject’s arcana can look like art for art’s sake. The author’s charting of a novel application domain for a core subject makes this book an essential acquisition. Summing Up: Essential. Upper-division undergraduates and above.” (D. V. Feldman, Choice, Vol. 50 (8), April, 2013)“Topological combinatorics is concerned with the applications of the many powerful techniques of algebraic topology to problems in combinatorics. … The present book aims to give a clear and vivid presentation of some of the most beautiful and accessible results from the area. The text, based upon some courses by the author at Freie Universität Berlin, is designed for an advanced undergraduate student.” (Hirokazu Nishimura, zbMATH, Vol. 1273, 2013)Table of ContentsPreface.- List of Symbols and Typical Notation.- 1 Fair-Division Problems.- 2 Graph-Coloring Problems.- 3 Evasiveness of Graph Properties.- 4 Embedding and Mapping Problems.- A Basic Concepts from Graph Theory.- B Crash Course in Topology.- C Partially Ordered Sets, Order Complexes, and Their Topology.- D Groups and Group Actions.- E Some Results and Applications from Smith Theory.- References.- Index.
£76.49
£39.50
Springer New York An Introduction to Convex Polytopes Graduate Texts in Mathematics 90
Book SynopsisThe highlights of the book are three main theorems in the combinatorial theory of convex polytopes, known as the Dehn-Sommerville Relations, the Upper Bound Theorem and the Lower Bound Theorem.Table of Contents1 Convex Sets.- A7;1. The Affine Structure of ?d.- A7;2. Convex Sets.- A7;3. The Relative Interior of a Convex Set.- A7;4. Supporting Hyperplanes and Halfspaces.- A7;5. The Facial Structure of a Closed Convex Set.- A7;6. Polarity.- 2 Convex Polytopes.- A7;7. Polytopes.- A7;8. Polyhedral Sets.- A7;9. Polarity of Polytopes and Polyhedral Sets.- A7;10. Equivalence and Duality of Polytopes.- A7;11. Vertex-Figures.- A7;12. Simple and Simplicial Polytopes.- A7;13. Cyclic Polytopes.- A7;14. Neighbourly Polytopes.- A7;15. The Graph of a Polytope.- 3 Combinatorial Theory of Convex Polytopes.- A7;16. Eulerߣs Relation.- A7;17. The Dehn-Sommerville Relations.- A7;18. The Upper Bound Theorem.- A7;19. The Lower Bound Theorem.- A7;20. McMullenߣs Conditions.- Appendix 1 Lattices.- Appendix 2 Graphs.- Appendix 3 Combinatorial Identities.- Bibliographical Comments.- List of Symbols.
£44.99
Birkhauser Boston Infinite Dimensional Lie Algebras An Introduction Progress in Mathematics 44
Table of Contents1. Basic definitions.- 2. The invariant bilinear form and the generalized Casimir operator.- 3. Integrable representations and the Weyl group of a Kac-Moody algebra.- 4. Some properties of generalized Cartan matrices.- 5. Real and imaginary roots.- 6. Affine Lie algebras: the normalized invariant bilinear form, the root system and the Weyl group.- 7. Affine Lie algebras: the realization (case k = 1).- 8. Affine Lie algebras: the realization (case k = 2 or 3). Application to the classification of finite order automorphisms.- 9. Highest weight modules over the Lie algebra g(A).- 10. Integrable highest weight modules: the character formula.- 11. Integrable highest weight modules: the weight system, the contravariant Hermitian form and the restriction problem.- 12. Integrable highest weight modules over affine Lie algebras. Application to ?-function identities.- 13. Affine Lie algebras, theta functions and modular forms.- 14. The principal realization of the basic representation. Application to the KdV-type hierarchies of non-linear partial differential equations.- Index of notations and definitions.- References.
£85.49
Springer Computing the Continuous Discretely
Trade Review“This book is an outstanding book on counting integer points of polytopes … . The book contains lots of exercises with very helpful hints. Another essential feature of the book is a vast collection of open problems on different aspects of integer point counting and related areas. … The book is reader-friendly written, self-contained and contains numerous beautiful illustrations. The reader is always accompanied with deep research jokes by famous researchers and valuable historical notes.” (Oleg Karpenkov, zbMATH 1339.52002, 2016)Reviews of the first edition:“You owe it to yourself to pick up a copy of Computing the Continuous Discretely to read about a number of interesting problems in geometry, number theory, and combinatorics.”— MAA Reviews“The book is written as an accessible and engaging textbook, with many examples, historical notes, pithy quotes, commentary integrating the material, exercises, open problems and an extensive bibliography.”— Zentralblatt MATH“This beautiful book presents, at a level suitable for advanced undergraduates, a fairly complete introduction to the problem of counting lattice points inside a convex polyhedron.”— Mathematical Reviews“Many departments recognize the need for capstone courses in which graduating students can see the tools they have acquired come together in some satisfying way. Beck and Robins have written the perfect text for such a course.”— CHOICETable of ContentsPreface.- The Coin-Exchange Problem of Frobenius.- A Gallery of Discrete Volumes.- Counting Lattice Points in Polytopes: The Ehrhart Theory.- Reciprocity.- Face Numbers and the Dehn-Sommerville Relations in Ehrhartian Terms.- Magic Squares.- Finite Fourier Analysis.- Dedekind Sums.- The Decomposition of a Polytope into Its Cones.- Euler-MacLaurin Summation in Rd.- Solid Angles.- A Discrete Version of Green's Theorem Using Elliptic Functions.- Appendix A: Triangulations of Polytopes.- Appendix B: Hints for Selected Exercises.- References.- Index.- List of Symbols.-
£41.24
Springer New York The Grassmannian Variety Geometric and RepresentationTheoretic Aspects 42 Developments in Mathematics
Trade Review“The present book gives a detailed treatment of the standard monomial theory (SMT) for the Grassmannians and their Schubert subvarieties along with several applications of SMT. It can be used as a reference book by experts and graduate students who study varieties with a reductive group action such as flag and toric varieties.” (Valentina Kiritchenko, zbMATH 1343.14001, 2016)“The book under review is more elementary; it is exclusively devoted to Grassmannians and their Schubert subvarieties. The book is divided into three parts. … This is a nicely written book, one that may appeal to students and researchers in related areas.” (Felipe Zaldivar, MAA Reviews, maa.org, December, 2015)Table of ContentsPreface.- 1. Introduction.- Part I. Algebraic Geometry—A Brief Recollection - 2. Preliminary Material.- 3. Cohomology Theory.- 4. Gröbner Bases.- Part II. Grassmannian and Schubert Varieties.- 5. The Grassmannian and Its Schubert Varieties.- 6. Further Geometric Properties of Schubert Varieties.- 7. Flat Degenerations.- Part III. Flag Varieties and Related Varieties.- 8. The Flag Variety: Geometric and Representation-Theoretic Aspects.- 9. Relationship to Classical Invariant Theory.- 10. Determinantal Varieties.- 11. Related Topics.- References.- List of Symbols.- Index.
£59.99
Springer Computing the Continuous Discretely
Book SynopsisThe Coin-Exchange Problem of Frobenius.- A Gallery of Discrete Volumes.- Counting Lattice Points in Polytopes: The Ehrhart Theory.- Reciprocity.- Face Numbers and the DehnSommerville Relations in Ehrhartian Terms.- Magic Squares.- Finite Fourier Analysis.- Dedekind Sums.- Zonotopes.- h-Polynomials and h*-Polynomials.- The Decomposition of a Polytope Into Its Cones.- EulerMaclaurin Summation in Rd.- Solid Angles.- A Discrete Version of Green's Theorem Using Elliptic Functions.Trade Review“This book is an outstanding book on counting integer points of polytopes … . The book contains lots of exercises with very helpful hints. Another essential feature of the book is a vast collection of open problems on different aspects of integer point counting and related areas. … The book is reader-friendly written, self-contained and contains numerous beautiful illustrations. The reader is always accompanied with deep research jokes by famous researchers and valuable historical notes.” (Oleg Karpenkov, zbMATH 1339.52002, 2016)Reviews of the first edition:“You owe it to yourself to pick up a copy of Computing the Continuous Discretely to read about a number of interesting problems in geometry, number theory, and combinatorics.”— MAA Reviews“The book is written as an accessible and engaging textbook, with many examples, historical notes, pithy quotes, commentary integrating the material, exercises, open problems and an extensive bibliography.”— Zentralblatt MATH“This beautiful book presents, at a level suitable for advanced undergraduates, a fairly complete introduction to the problem of counting lattice points inside a convex polyhedron.”— Mathematical Reviews“Many departments recognize the need for capstone courses in which graduating students can see the tools they have acquired come together in some satisfying way. Beck and Robins have written the perfect text for such a course.”— CHOICETable of ContentsPreface.- The Coin-Exchange Problem of Frobenius.- A Gallery of Discrete Volumes.- Counting Lattice Points in Polytopes: The Ehrhart Theory.- Reciprocity.- Face Numbers and the Dehn-Sommerville Relations in Ehrhartian Terms.- Magic Squares.- Finite Fourier Analysis.- Dedekind Sums.- The Decomposition of a Polytope into Its Cones.- Euler-MacLaurin Summation in Rd.- Solid Angles.- A Discrete Version of Green's Theorem Using Elliptic Functions.- Appendix A: Triangulations of Polytopes.- Appendix B: Hints for Selected Exercises.- References.- Index.- List of Symbols.-
£41.24
Larsen and Keller Education Discrete Mathematics
£108.90
Murphy & Moore Publishing Discrete Mathematics and Its Applications
Book Synopsis
£106.69
Murphy & Moore Publishing Applications of Symmetry in Discrete Mathematics
Book Synopsis
£115.17
Author Solutions Inc Pondering Solutions to the King Snake Puzzle
£27.86
Author Solutions Inc Pondering Solutions to the King Snake Puzzle
£19.76