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Mersenne Numbers And Fermat Numbers

av Elena Deza ...

Serie Bok 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 ... Läs mer

705,31 kr

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
... Läs mer
Graph Theory: Undergraduate Mathematics

av 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 ... Läs mer

442,86 kr

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
... Läs mer
Voronoi Diagrams And Delaunay Triangulations

av 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 ... Läs mer

311,63 kr

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
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IMO Problems, Theorems, and Methods

Combinatorics

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

Serie Bok 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, ... Läs mer

210,08 kr

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,
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Random Walks and Heat Kernels on Graphs

av Martin T. Barlow ...

Serie Bok 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 ... Läs mer

726,30 kr

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
... Läs mer
Codes and Automata

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

Serie Bok 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 ... Läs mer

1 948,27 kr

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
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Descriptive Complexity, Canonisation, and Definable Graph Structure Theory

av Martin Grohe ...

Serie Bok 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 ... Läs mer

1 948,27 kr

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
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Notes on Counting: An Introduction to Enumerative Combinatorics

av Peter J. Cameron ...

Serie Bok 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 ... Läs mer

427,28 kr

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
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Basic Phylogenetic Combinatorics

av 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, ... Läs mer

572,50 kr

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,
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Enumerative Combinatorics: Volume 2

av Richard P. Stanley, Sergey Fomin ...

Serie Bok 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 ... Läs mer

572,50 kr

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
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Miscellaneous Mathematical Constants

av 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 ... Läs mer

244,43 kr

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

av 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 ... Läs mer

442,86 kr

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
... Läs mer
Combinatorial Knot Theory

av Roger A Fenn ...

Serie Bok 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. ... Läs mer

630,48 kr

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.
... Läs mer
Modern Trends in Fuzzy Graph Theory

av 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 ... Läs mer

536,35 kr

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
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Introduction to Series and Basic Statistics

av 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. ... Läs mer

40,09 kr

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.
... Läs mer
Eulerian Numbers

av Elena Deza ...

Serie Bok 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 ... Läs mer

1 088,82 kr

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
... Läs mer
Combinatorics Decoded

av 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 ... Läs mer

45,29 kr

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
... Läs mer
Graph Theory and Its Applications

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

Serie serie 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 ... Läs mer

647,94 kr

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
... Läs mer
The Geometry of Musical Rhythm

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

av Godfried T. Toussaint ...

Serie serie 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 ... Läs mer

596,09 kr

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
... Läs mer
Handbook of Applied Cryptography

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

Serie serie 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 ... Läs mer

2 294,03 kr

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
... Läs mer
Monomial Algebras

av Rafael H. Villarreal ...

Serie serie 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 ... Läs mer

2 786,69 kr

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
... Läs mer
Discrete Mathematics with Coding

av Hugo D Junghenn ...

Serie serie 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 ... Läs mer

1 308,97 kr

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
... Läs mer
Word Processing in Groups

av David B.A. Epstein ...

This study in combinatorial group theory introduces the concept of automatic groups. It contains a succinct introduction to the theory of regular languages, a discussion of related topics in combinatorial group theory, and the connections between automatic groups and geometry which motivated the development of this new theory. It is of interest to ... Läs mer

2 566,22 kr

This study in combinatorial group theory introduces the concept of automatic groups. It contains a succinct introduction to the theory of regular languages, a discussion of related topics in combinatorial group theory, and the connections between automatic groups and geometry which motivated the development of this new theory. It is of interest to
... Läs mer
Advanced Fractal Graph Theory and Applications

av P. Tharaniya, G. Jayalalitha, Pethuru Raj, B. Sundaravadivazhagan ...

This book explores the dynamic interplay between fractals and graph theory, two powerful mathematical tools with vast applications. It presents a strategic combination and the synergistic use of these disciplines to address real-world problems and challenges. The book begins with an introduction to the basic concepts of fractals and graph theory and goes on to explore the applications in various ... Läs mer

1 283,04 kr

This book explores the dynamic interplay between fractals and graph theory, two powerful mathematical tools with vast applications. It presents a strategic combination and the synergistic use of these disciplines to address real-world problems and challenges. The book begins with an introduction to the basic concepts of fractals and graph theory and goes on to explore the applications in various
... Läs mer

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Rekommenderas för dig

Kombinatorik E-böcker

Mersenne Numbers And Fermat Numbers

Graph Theory: Undergraduate Mathematics

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

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

Monomial Algebras

Discrete Mathematics with Coding

Word Processing in Groups

Advanced Fractal Graph Theory and Applications