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Combinatorics eBooks

If you like Combinatorics eBooks, then you'll love these top picks.
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  • Mersenne Numbers And Fermat Numbers

    by Elena Deza ...
    Series Book 1 - Selected Chapters Of Number Theory: Special Numbers
    This book contains a complete detailed description of two classes of special numbers closely related to classical problems of the Theory of Primes. There is also extensive discussions of applied issues related to Cryptography.In Mathematics, a Mersenne number (named after Marin Mersenne, who studied them in the early 17-th century) is a number of the form Mn = 2n - 1 for positive integer n.In ... Read more

    69,21 €

  • Graph Theory: Undergraduate Mathematics

    This book is an expansion of our first book Introduction to Graph Theory: H3 Mathematics. While the first book was intended for capable high school students and university freshmen, this version covers substantially more ground and is intended as a reference and textbook for undergraduate studies in Graph Theory. In fact, the topics cover a few modules in the Graph Theory taught at the National ... Read more

    43,45 €

  • Tours de magie et congruences

    Imaginons un monde où n’existeraient que les nombres de 1 à 12, comme sur une horloge. Cela permet une curieuse arithmétique. Après 12, on retrouve 1, 2, 3 ...Le 12 se confond avec le 0, le 13 avec le 1 ; le 14 avec le 2. On peut aussi bien dire qu'il est 13h ou 1 h de l’après midi, qu’il est 14 h ou 2 h de l'après-midi. On dira que 13 modulo 12 est égal à 1, que 14 modulo 12 est égal à 2, ou ... Read more

    5,99 €

  • Voronoi Diagrams And Delaunay Triangulations

    Voronoi diagrams partition space according to the influence certain sites exert on their environment. Since the 17th century, such structures play an important role in many areas like Astronomy, Physics, Chemistry, Biology, Ecology, Economics, Mathematics and Computer Science. They help to describe zones of political influence, to determine the hospital nearest to an accident site, to compute ... Read more

    30,62 €

  • IMO Problems, Theorems, and Methods

    Combinatorics

    Series Book 26 - Mathematical Olympiad Series
    The problems in the International Mathematical Olympiad (IMO) are not only novel and interesting but also deeply rooted in profound mathematical context. The team at the International Mathematical Olympiad Research Center at East China Normal University has compiled and studied problems from past IMOs, dividing them into four volumes based on the mathematical fields involved: algebra, geometry, ... Read more

    18,12 €

  • Random Walks and Heat Kernels on Graphs

    Series Book 438 - London Mathematical Society Lecture Note Series
    This introduction to random walks on infinite graphs gives particular emphasis to graphs with polynomial volume growth. It offers an overview of analytic methods, starting with the connection between random walks and electrical resistance, and then proceeding to study the use of isoperimetric and Poincaré inequalities. The book presents rough isometries and looks at the properties of a graph that ... Read more

    63,91 €

  • Codes and Automata

    Series Book 129 - Encyclopedia of Mathematics and its Applications
    This major revision of Berstel and Perrin's classic Theory of Codes has been rewritten with a more modern focus and a much broader coverage of the subject. The concept of unambiguous automata, which is intimately linked with that of codes, now plays a significant role throughout the book, reflecting developments of the last 20 years. This is complemented by a discussion of the connection between ... Read more

    175,53 €

  • Descriptive Complexity, Canonisation, and Definable Graph Structure Theory

    by Martin Grohe ...
    Series Book 47 - Lecture Notes in Logic
    Descriptive complexity theory establishes a connection between the computational complexity of algorithmic problems (the computational resources required to solve the problems) and their descriptive complexity (the language resources required to describe the problems). This groundbreaking book approaches descriptive complexity from the angle of modern structural graph theory, specifically graph ... Read more

    171,50 €

  • Notes on Counting: An Introduction to Enumerative Combinatorics

    Series Book 26 - Australian Mathematical Society Lecture Series
    Enumerative combinatorics, in its algebraic and analytic forms, is vital to many areas of mathematics, from model theory to statistical mechanics. This book, which stems from many years' experience of teaching, invites students into the subject and prepares them for more advanced texts. It is suitable as a class text or for individual study. The author provides proofs for many of the theorems to ... Read more

    38,57 €

  • Basic Phylogenetic Combinatorics

    Phylogenetic combinatorics is a branch of discrete applied mathematics concerned with the combinatorial description and analysis of phylogenetic trees and related mathematical structures such as phylogenetic networks and tight spans. Based on a natural conceptual framework, the book focuses on the interrelationship between the principal options for encoding phylogenetic trees: split systems, ... Read more

    46,74 €

  • 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

    60,94 €

  • Enumerative Combinatorics: Volume 2

    Series Book 62 - Cambridge Studies in Advanced Mathematics
    This second volume of a two-volume basic introduction to enumerative combinatorics covers the composition of generating functions, trees, algebraic generating functions, D-finite generating functions, noncommutative generating functions, and symmetric functions. The chapter on symmetric functions provides the only available treatment of this subject suitable for an introductory graduate course on ... Read more

    50,76 €

  • Miscellaneous Mathematical Constants

    by Various ...
    Miscellaneous Mathematical Constants is a comprehensive compilation of mathematical constants, originally published in 1873 by Simon Newcomb. The book presents a wide array of constants used in various branches of mathematics and science, including geometry, trigonometry, logarithms, and physics. Each constant is carefully listed with its value and, where applicable, its historical context or ... Read more

    19,99 €

  • Walk Through Combinatorics, A: An Introduction To Enumeration And Graph Theory (Fourth Edition)

    by Miklos Bona ...
    This is a textbook for an introductory combinatorics course lasting one or two semesters. An extensive list of problems, ranging from routine exercises to research questions, is included. In each section, there are also exercises that contain material not explicitly discussed in the preceding text, so as to provide instructors with extra choices if they want to shift the emphasis of their course ... Read more

    43,45 €

  • Combinatorial Knot Theory

    by Roger A Fenn ...
    Series Book 76 - Series on Knots and Everything
    A classic knot is an embedded simple loop in 3-dimensional space. It can be described as a 4-valent planar graph or network in the horizontal plane, with the vertices or crossings corresponding to double points of a projection. At this stage we have the shadow of the knot defined by the projection. We can reconstruct the knot by lifting the crossings into two points in space, one above the other. ... Read more

    54,79 €

  • Modern Trends in Fuzzy Graph Theory

    This book provides an extensive set of tools for applying fuzzy mathematics and graph theory to real-life problems. Balancing the basics and latest developments in fuzzy graph theory, this book starts with existing fundamental theories such as connectivity, isomorphism, products of fuzzy graphs, and different types of paths and arcs in fuzzy graphs to focus on advanced concepts such as planarity ... Read more

    47,69 €

  • Introduction to Series and Basic Statistics

    The theoretical assumptions of the following mathematical topics are presented in this book:numerical successionsnumerical seriescombinatorial calculuselementary statisticsEach topic is treated by emphasizing practical applications and solving some significant exercises. ... Read more

    2,99 €

  • Eulerian Numbers

    by Elena Deza ...
    Series Book 5 - Selected Chapters of Number Theory: Special Numbers
    Within these pages readers will find the complete theory of a renowned class of special numbers, Eulerian numbers, as well as some generalisations and relatives (Eulerian numbers of the second order, factorial numbers, Euler numbers, etc.), their properties, their facts, and their theorems, alongside full proofs.The 'names' of many of the special numbers essential to so many aspects of number ... Read more

    102,07 €

  • Combinatorics Decoded

    by A K Pandey ...
    Combinatorics is one of most logical and live field of mathematics. Concepts of combinatorics are widely applicable in probability and computations. Learning combinatorics requires little different approach. It requires building fundamental rules of execution. Every new problem demands a new rule. This book focuses on experiential learning of the subject.It takes reader into the all new world of ... Read more

    4,49 €

  • Graph Theory and Its Applications

    Series series Textbooks in Mathematics
    Graph Theory and Its Applications, Third Edition is the latest edition of the international, bestselling textbook for undergraduate courses in graph theory, yet it is expansive enough to be used for graduate courses as well. The textbook takes a comprehensive, accessible approach to graph theory, integrating careful exposition of classical developments with emerging methods, models, and practical ... Read more

    60,73 €

  • The Geometry of Musical Rhythm

    What Makes a "Good" Rhythm Good?, Second Edition

    Series series AK Peters/CRC Recreational Mathematics Series
    The original edition of The Geometry of Musical Rhythm was the first book to provide a systematic and accessible computational geometric analysis of the musical rhythms of the world. It explained how the study of the mathematical properties of musical rhythm generates common mathematical problems that arise in a variety of seemingly disparate fields. The book also introduced the distance approach ... Read more

    55,87 €

  • Handbook of Applied Cryptography

    Series series Discrete Mathematics and Its Applications
    Cryptography, in particular public-key cryptography, has emerged in the last 20 years as an important discipline that is not only the subject of an enormous amount of research, but provides the foundation for information security in many applications. Standards are emerging to meet the demands for cryptographic protection in most areas of data communications. Public-key cryptographic techniques ... Read more

    215,00 €

  • Monomial Algebras

    Series series Chapman & Hall/CRC Monographs and Research Notes in Mathematics
    Monomial Algebras presents algebraic, combinatorial, and computational methods for studying monomial algebras and their ideals, including Stanley–Reisner rings, monomial subrings, Ehrhart rings, and blowup algebras. It emphasizes square-free monomials and the corresponding graphs, clutters, or hypergraphs.New to the Third EditionTwo full new chapters covering linear and Reed–Muller-type codes ... Read more

    261,17 €

  • Discrete Mathematics with Coding

    Series series Textbooks in Mathematics
    This book, for a first undergraduate course in Discrete Mathematics, systematically exploits the relationship between discrete mathematics and computer programming. Unlike most discrete mathematics texts focusing on one of the other, the book explores the rich and important connection between these two disciplines and shows how each discipline reinforces and enhances the other.The mathematics in ... Read more

    122,68 €