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Combinatorics: Ancient & Modern

Bewerkt door Robin Wilson, John J. Watkins ...

Who first presented Pascal's triangle? (It was not Pascal.) Who first presented Hamiltonian graphs? (It was not Hamilton.) Who first presented Steiner triple systems? (It was not Steiner.) The history of mathematics is a well-studied and vibrant area of research, with books and scholarly articles published on various aspects of the subject. Yet, the history of combinatorics seems to have been ... Meer lezen

42,28 €

Who first presented Pascal's triangle? (It was not Pascal.) Who first presented Hamiltonian graphs? (It was not Hamilton.) Who first presented Steiner triple systems? (It was not Steiner.) The history of mathematics is a well-studied and vibrant area of research, with books and scholarly articles published on various aspects of the subject. Yet, the history of combinatorics seems to have been
... Meer lezen
Combinatorics

A Very Short Introduction

door Robin Wilson ...

Serie 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 ... Meer lezen

7,19 €

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
... Meer lezen
Mersenne Numbers And Fermat Numbers

door Elena Deza ...

Serie Boek 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 ... Meer lezen

69,21 €

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
... Meer lezen
Graph Theory: Undergraduate Mathematics

door Fengming Dong, Khee-meng Koh, Kah Loon Ng, Eng Guan Tay ...

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 ... Meer lezen

43,45 €

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
... Meer lezen
Tours de magie et congruences

door Dominique Souder ...

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 ... Meer lezen

5,99 €

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
... Meer lezen
Voronoi Diagrams And Delaunay Triangulations

door Franz Aurenhammer, Rolf Klein, Der-tsai Lee ...

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 ... Meer lezen

30,62 €

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
... Meer lezen
IMO Problems, Theorems, and Methods

Combinatorics

door Guangyu Xu, Zhenhua Qu, Zhenhua Qu, Jinhua Chen ...

Serie Boek 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, ... Meer lezen

18,12 €

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,
... Meer lezen
Random Walks and Heat Kernels on Graphs

door Martin T. Barlow ...

Serie Boek 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 ... Meer lezen

77,94 €

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
... Meer lezen
Codes and Automata

door Jean Berstel, Dominique Perrin, Christophe Reutenauer ...

Serie Boek 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 ... Meer lezen

214,02 €

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
... Meer lezen
Descriptive Complexity, Canonisation, and Definable Graph Structure Theory

door Martin Grohe ...

Serie Boek 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 ... Meer lezen

209,07 €

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
... Meer lezen
Notes on Counting: An Introduction to Enumerative Combinatorics

door Peter J. Cameron ...

Serie Boek 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 ... Meer lezen

47,01 €

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
... Meer lezen
Basic Phylogenetic Combinatorics

door Andreas Dress, Katharina T. Huber, Jacobus Koolen, Vincent Moulton, Andreas Spillner ...

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, ... Meer lezen

56,91 €

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,
... Meer lezen
Fourier Restriction, Decoupling, and Applications

door Ciprian Demeter ...

Serie Boek 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 ... Meer lezen

74,23 €

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
... Meer lezen
Enumerative Combinatorics: Volume 2

door Richard P. Stanley, Sergey Fomin ...

Serie Boek 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 ... Meer lezen

61,84 €

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
... Meer lezen
Miscellaneous Mathematical Constants

door 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 ... Meer lezen

19,99 €

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

door 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 ... Meer lezen

43,45 €

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
... Meer lezen
Combinatorial Knot Theory

door Roger A Fenn ...

Serie Boek 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. ... Meer lezen

54,79 €

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.
... Meer lezen
Modern Trends in Fuzzy Graph Theory

door Madhumangal Pal, Sovan Samanta, Ganesh Ghorai ...

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 ... Meer lezen

47,69 €

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
... Meer lezen
Introduction to Series and Basic Statistics

door Simone Malacrida ...

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. ... Meer lezen

2,99 €

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.
... Meer lezen
Eulerian Numbers

door Elena Deza ...

Serie Boek 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 ... Meer lezen

102,07 €

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
... Meer lezen
Combinatorics Decoded

door 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 ... Meer lezen

4,49 € of Gratis met Kobo Plus

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
... Meer lezen
Graph Theory and Its Applications

door Jonathan L. Gross, Jay Yellen, Mark Anderson ...

Serie 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 ... Meer lezen

60,73 €

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
... Meer lezen
The Geometry of Musical Rhythm

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

door Godfried T. Toussaint ...

Serie 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 ... Meer lezen

55,87 €

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
... Meer lezen
Handbook of Applied Cryptography

door Alfred J. Menezes, Paul C. van Oorschot, Scott A. Vanstone ...

Serie 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 ... Meer lezen

215,00 €

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
... Meer lezen

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eBooks in de categorie Combinatoriek

Combinatorics: Ancient & Modern

Combinatorics

Mersenne Numbers And Fermat Numbers

Graph Theory: Undergraduate Mathematics

Tours de magie et congruences

Voronoi Diagrams And Delaunay Triangulations

IMO Problems, Theorems, and Methods

Random Walks and Heat Kernels on Graphs

Codes and Automata

Descriptive Complexity, Canonisation, and Definable Graph Structure Theory

Notes on Counting: An Introduction to Enumerative Combinatorics

Basic Phylogenetic Combinatorics

Fourier Restriction, Decoupling, and Applications

Enumerative Combinatorics: Volume 2

Miscellaneous Mathematical Constants

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

Combinatorial Knot Theory

Modern Trends in Fuzzy Graph Theory

Introduction to Series and Basic Statistics

Eulerian Numbers

Combinatorics Decoded

Graph Theory and Its Applications

The Geometry of Musical Rhythm

Handbook of Applied Cryptography