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Combinatorics eBooks

If you like Combinatorics eBooks, then you'll love these top picks.
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  • Topics in Graph Theory

    Graphs and Their Cartesian Product

    From specialists in the field, you will learn about interesting connections and recent developments in the field of graph theory by looking in particular at Cartesian products-arguably the most important of the four standard graph products. Many new results in this area appear for the first time in print in this book. Written in an accessible way, ... Read more

    RM 365.82

  • Handbook of Finite Fields

    Series series Discrete Mathematics and Its Applications
    Poised to become the leading reference in the field, the Handbook of Finite Fields is exclusively devoted to the theory and applications of finite fields. More than 80 international contributors compile state-of-the-art research in this definitive handbook. Edited by two renowned researchers, the book uses a uniform style and format throughout and ... Read more

    RM 755.55

  • Topics in Graph Theory

    Series series Discrete Mathematics and Its Applications
    The interplay continues to grow between graph theory and a wide variety of models and applications in mathematics, computer science, operations research, and the natural and social sciences.Topics in Graph Theory is geared toward the more mathematically mature student. The first three chapters provide the basic definitions and theorems of graph theory and the remaining chapters introduce a variety ... Read more

    RM 481.15

  • Combinatorics

    Series series Discrete Mathematics and Its Applications
    Combinatorics, Second Edition is a well-rounded, general introduction to the subjects of enumerative, bijective, and algebraic combinatorics. The textbook emphasizes bijective proofs, which provide elegant solutions to counting problems by setting up one-to-one correspondences between two sets of combinatorial objects. The author has written the textbook to be accessible to readers without any ... Read more

    RM 278.33

  • Finite Geometries

    by Baker ...
    Series series Lecture Notes in Pure and Applied Mathematics
    This book is a compilation of the papers presented at the conference in Winnipeg on the subject of finite geometry in 1984. It covers different fields in finite geometry: classical finite geometry, the geometry of finite planes, geometric structures and the theory of translation planes. ... Read more

    RM 1,590.71

  • Understanding Physics and Physical Chemistry Using Formal Graphs

    by Eric Vieil ...
    The subject of this book is truly original. By encoding of algebraic equations into graphs-originally a purely pedagogical technique-the exploration of physics and physical chemistry reveals common pictures through all disciplines. The hidden structure of the scientific formalism that appears is a source of astonishment and provides efficient simpl ... Read more

    RM 365.82

  • Algebraic Operads

    An Algorithmic Companion

    This book presents a systematic treatment of Grobner bases in several contexts. The book builds up to the theory of Grobner bases for operads due to the second author and Khoroshkin as well as various applications of the corresponding diamond lemmas in algebra. Throughout the book, both the mathematical theory and computational methods are emphasized and numerous algorithms, examples, and ... Read more

    RM 433.43

  • Algebraic Number Theory

    Series series Discrete Mathematics and Its Applications
    Bringing the material up to date to reflect modern applications, this second edition has been completely rewritten and reorganized to incorporate a new style, methodology, and presentation. It offers a more complete and involved treatment of Galois theory, a more comprehensive section on Pollard's cubic factoring algorithm, and more detailed explanations of proofs to provide a sound understanding ... Read more

    RM 330.03

  • Polygroup Theory And Related Systems

    by Bijan Davvaz ...
    This monograph is devoted to the study of Polygroup Theory. It begins with some basic results concerning group theory and algebraic hyperstructures, which represent the most general algebraic context, in which reality can be modeled. Most results on polygroups are collected in this book. Moreover, this monograph is the first book on this theory. The volume is highly recommended to theoreticians in ... Read more

    RM 110.99

  • Knot Theory

    Second Edition

    Over the last fifteen years, the face of knot theory has changed due to various new theories and invariants coming from physics, topology, combinatorics and alge-bra. It suffices to mention the great progress in knot homology theory (Khovanov homology and Ozsvath-Szabo Heegaard-Floer homology), the A-polynomial which give rise to strong invariants of knots and 3-manifolds, in particular, many new ... Read more

    RM 294.24

  • Discrete Mathematics for Computer Science

    An Example-Based Introduction

    Discrete Mathematics for Computer Science: An Example-Based Introduction is intended for a first- or second-year discrete mathematics course for computer science majors. It covers many important mathematical topics essential for future computer science majors, such as algorithms, number representations, logic, set theory, Boolean algebra, functions, combinatorics, algorithmic complexity, graphs, ... Read more

    RM 310.15

  • Theory Of Multiple Zeta Values With Applications In Combinatorics, The

    by Minking Eie ...
    Series Book 7 - Monographs In Number Theory
    This is the first book on the theory of multiple zeta values since its birth around 1994. Readers will find that the shuffle products of multiple zeta values are applied to complicated counting problems in combinatorics, and numerous interesting identities are produced that are ready to be used. This will provide a powerful tool to deal with problems in multiple zeta values, both in evaluations ... Read more

    RM 143.19

  • Counting

    This book is a useful, attractive introduction to basic counting techniques for upper secondary and junior college students, as well as teachers. Younger students and lay people who appreciate mathematics, not to mention avid puzzle solvers, will also find the book interesting. The various problems and applications here are good for building up proficiency in counting. They are also useful for ... Read more

    RM 56.69

  • Principles And Techniques In Combinatorics - Solutions Manual

    The solutions to each problem are written from a first principles approach, which would further augment the understanding of the important and recurring concepts in each chapter. Moreover, the solutions are written in a relatively self-contained manner, with very little knowledge of undergraduate mathematics assumed. In that regard, the solutions manual appeals to a wide range of readers, from ... Read more

    RM 128.89

  • Cryptanalysis of Number Theoretic Ciphers

    Series series Computational Mathematics
    At the heart of modern cryptographic algorithms lies computational number theory. Whether you're encrypting or decrypting ciphers, a solid background in number theory is essential for success. Written by a number theorist and practicing cryptographer, Cryptanalysis of Number Theoretic Ciphers takes you from basic number theory to the inner workings of ciphers and protocols. First, the book ... Read more

    RM 894.73

  • Fourier Restriction, Decoupling, and Applications

    Series Book 184 - Cambridge Studies in Advanced Mathematics
    The last fifteen years have seen a flurry of exciting developments in Fourier restriction theory, leading to significant new applications in diverse fields. This timely text brings the reader from the classical results to state-of-the-art advances in multilinear restriction theory, the Bourgain–Guth induction on scales and the polynomial method. Also discussed in the second part are decoupling for ... Read more

    RM 260.89

  • Quantitative Graph Theory

    Mathematical Foundations and Applications

    The first book devoted exclusively to quantitative graph theory, Quantitative Graph Theory: Mathematical Foundations and Applications presents and demonstrates existing and novel methods for analyzing graphs quantitatively. Incorporating interdisciplinary knowledge from graph theory, information theory, measurement theory, and statistical technique ... Read more

    RM 377.75

  • Applied Algebra

    Codes, Ciphers and Discrete Algorithms, Second Edition

    Series series Discrete Mathematics and Its Applications
    Using mathematical tools from number theory and finite fields, Applied Algebra: Codes, Ciphers, and Discrete Algorithms, Second Edition presents practical methods for solving problems in data security and data integrity. It is designed for an applied algebra course for students who have had prior classes in abstract or linear algebra. While the content has been reworked and improved, this edition ... Read more

    RM 894.73

  • A Mathematical Tour

    A Mathematical Tour introduces readers to a selection of mathematical topics chosen for their centrality, importance, historical significance, and intrinsic appeal and beauty. The book is written to be accessible and interesting to readers with a good grounding in high school level mathematics and a keen sense of intellectual curiosity. Each chapter includes a short history of the topic, ... Read more

    Was RM 262.43 Now RM 234.59

  • Combinatorics

    A Very Short Introduction

    by Robin Wilson ...
    Series series Very Short Introductions
    How many possible sudoku puzzles are there? In the lottery, what is the chance that two winning balls have consecutive numbers? Who invented Pascal's triangle? (it was not Pascal) Combinatorics, the branch of mathematics concerned with selecting, arranging, and listing or counting collections of objects, works to answer all these questions. Dating back some 3000 years, and initially consisting ... Read more

    RM 31.77

  • Introduction to Random Graphs

    From social networks such as Facebook, the World Wide Web and the Internet, to the complex interactions between proteins in the cells of our bodies, we constantly face the challenge of understanding the structure and development of networks. The theory of random graphs provides a framework for this understanding, and in this book the authors give a gentle introduction to the basic tools for ... Read more

    RM 313.09

  • Graphs & Digraphs

    Series series Textbooks in Mathematics
    Graphs & Digraphs, Seventh Edition masterfully employs student-friendly exposition, clear proofs, abundant examples, and numerous exercises to provide an essential understanding of the concepts, theorems, history, and applications of graph theory. This classic text, widely popular among students and instructors alike for decades, is thoroughly streamlined in this new, seventh edition, to present a ... Read more

    Was RM 330.03 Now RM 294.24

  • Syzygies and Hilbert Functions

    Edited by Irena Peeva ...
    Series series Lecture Notes in Pure and Applied Mathematics
    Hilbert functions and resolutions are both central objects in commutative algebra and fruitful tools in the fields of algebraic geometry, combinatorics, commutative algebra, and computational algebra. Spurred by recent research in this area, Syzygies and Hilbert Functions explores fresh developments in the field as well as fundamental concepts. ... Read more

    RM 1,292.45

  • Guide to Pairing-Based Cryptography

    Edited by Nadia El Mrabet, Marc Joye ...
    Series series Chapman & Hall/CRC Cryptography and Network Security Series
    This book is devoted to efficient pairing computations and implementations, useful tools for cryptographers working on topics like identity-based cryptography and the simplification of existing protocols like signature schemes.As well as exploring the basic mathematical background of finite fields and elliptic curves, Guide to Pairing-Based Cryptography offers an overview of the most recent ... Read more

    RM 290.26