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Recommended For You

A Walk Through Combinatorics

An Introduction to Enumeration, Graph Theory, and Selected Other Topics

by Miklós Bóna ...

The first half of the book walks the reader through methods of counting, both direct elementary methods and the more advanced method of generating functions. Then, in the second half of the book, the reader learns how to apply these methods to fascinating objects, such as graphs, designs, random variables, partially ordered sets, and algorithms. In short, the first half emphasizes depth by ... Read more

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The first half of the book walks the reader through methods of counting, both direct elementary methods and the more advanced method of generating functions. Then, in the second half of the book, the reader learns how to apply these methods to fascinating objects, such as graphs, designs, random variables, partially ordered sets, and algorithms. In short, the first half emphasizes depth by
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Combofluke Book 1

Mini or Large Lotto Syndicates

by James Parker ...

Combofluke means mini or large prepared lotto syndicate combinations that you can play yourself or in a group. ... Read more

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Combofluke means mini or large prepared lotto syndicate combinations that you can play yourself or in a group.
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Turing y el lenguaje de las máquinas

by Francisco Salas Molina, Parolas Languages ...

Series Book 3 - Hay unos números en mi café
'Hay unos números en mi café' es una serie que pretende hacer fácil lo difícil. Acercarnos a conceptos matemáticos complejos de un modo sencillo y didáctico con múltiples ejemplos, ilustraciones y un lenguaje apto y comprensible para todos los públicos.Francisco Salas Molina aborda en este tercer libro de la serie Turing y el lenguaje de las máquinas. A través de la desafiante pregunta ¿pueden ... Read more

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'Hay unos números en mi café' es una serie que pretende hacer fácil lo difícil. Acercarnos a conceptos matemáticos complejos de un modo sencillo y didáctico con múltiples ejemplos, ilustraciones y un lenguaje apto y comprensible para todos los públicos.Francisco Salas Molina aborda en este tercer libro de la serie Turing y el lenguaje de las máquinas. A través de la desafiante pregunta ¿pueden
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The Math Thought Mindset

Logic, Reasoning, and Proofs

by James L. Burk ...

Series series Advances in Applied Mathematics
The Math Thought Mindset: Logic, Reasoning, and Proofs prioritizes the understanding of how things work, which is crucial for mastering mathematics. This mindset is central in computer science, economics, artificial intelligence, data science, machine learning, and engineering, where analytical reasoning determines success. Mathematics is a language of reasoning that reveals deeper truths about ... Read more

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The Math Thought Mindset: Logic, Reasoning, and Proofs prioritizes the understanding of how things work, which is crucial for mastering mathematics. This mindset is central in computer science, economics, artificial intelligence, data science, machine learning, and engineering, where analytical reasoning determines success. Mathematics is a language of reasoning that reveals deeper truths about
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An Invitation to the Rogers-Ramanujan Identities

by Andrew V. Sills ...

The Rogers--Ramanujan identities are a pair of infinite series—infinite product identities that were first discovered in 1894. Over the past several decades these identities, and identities of similar type, have found applications in number theory, combinatorics, Lie algebra and vertex operator algebra theory, physics (especially statistical mechanics), and computer science (especially algorithmic ... Read more

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The Rogers--Ramanujan identities are a pair of infinite series—infinite product identities that were first discovered in 1894. Over the past several decades these identities, and identities of similar type, have found applications in number theory, combinatorics, Lie algebra and vertex operator algebra theory, physics (especially statistical mechanics), and computer science (especially algorithmic
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Network Optimization

by V. Balakrishnan ...

Series series Chapman Hall/CRC Mathematics Series
Problems in network optimization arise in all areas of technology and industrial management. The topic of network flows has applications in diverse fields such as chemistry, engineering, management science, scheduling and transportation, to name a few. Network Optimization introduces the subject to undergraduate and graduate students in computer science, mathematics and operations research. The ... Read more

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Problems in network optimization arise in all areas of technology and industrial management. The topic of network flows has applications in diverse fields such as chemistry, engineering, management science, scheduling and transportation, to name a few. Network Optimization introduces the subject to undergraduate and graduate students in computer science, mathematics and operations research. The
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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

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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
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Notes on Counting: An Introduction to Enumerative Combinatorics

by Peter J. Cameron ...

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

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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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Principles And Techniques In Combinatorics

by Chuan Chong Chen, Khee-meng Koh ...

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Erdõs–Ko–Rado Theorems: Algebraic Approaches

by Christopher Godsil, Karen Meagher ...

Series Book 149 - Cambridge Studies in Advanced Mathematics
Aimed at graduate students and researchers, this fascinating text provides a comprehensive study of the Erdős–Ko–Rado Theorem, with a focus on algebraic methods. The authors begin by discussing well-known proofs of the EKR bound for intersecting families. The natural generalization of the EKR Theorem holds for many different objects that have a notion of intersection, and the bulk of this book ... Read more

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Aimed at graduate students and researchers, this fascinating text provides a comprehensive study of the Erdős–Ko–Rado Theorem, with a focus on algebraic methods. The authors begin by discussing well-known proofs of the EKR bound for intersecting families. The natural generalization of the EKR Theorem holds for many different objects that have a notion of intersection, and the bulk of this book
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Enumerative Combinatorics: Volume 1

by Richard P. Stanley ...

Series Book 49 - Cambridge Studies in Advanced Mathematics
Richard Stanley's two-volume basic introduction to enumerative combinatorics has become the standard guide to the topic for students and experts alike. This thoroughly revised second edition of Volume 1 includes ten new sections and more than 300 new exercises, most with solutions, reflecting numerous new developments since the publication of the first edition in 1986. The author brings the ... Read more

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Richard Stanley's two-volume basic introduction to enumerative combinatorics has become the standard guide to the topic for students and experts alike. This thoroughly revised second edition of Volume 1 includes ten new sections and more than 300 new exercises, most with solutions, reflecting numerous new developments since the publication of the first edition in 1986. The author brings the
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Aspects of Integration

Novel Approaches to the Riemann and Lebesgue Integrals

by Ronald B. Guenther, John W. Lee ...

Series series Chapman & Hall/CRC Monographs and Research Notes in Mathematics
Aspects of Integration: Novel Approaches to the Riemann and Lebesgue Integrals is comprised of two parts. The first part is devoted to the Riemann integral, and provides not only a novel approach, but also includes several neat examples that are rarely found in other treatments of Riemann integration. Historical remarks trace the development of integration from the method of exhaustion of Eudoxus ... Read more

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Aspects of Integration: Novel Approaches to the Riemann and Lebesgue Integrals is comprised of two parts. The first part is devoted to the Riemann integral, and provides not only a novel approach, but also includes several neat examples that are rarely found in other treatments of Riemann integration. Historical remarks trace the development of integration from the method of exhaustion of Eudoxus
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Mathematical Principles of the Internet, Volume 2

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by Nirdosh Bhatnagar ...

Series series Chapman & Hall/CRC Computer and Information Science Series
This two-volume set on***Mathematical Principles of the Internet*** provides a comprehensive overview of the mathematical principles of Internet engineering. The books do not aim to provide all of the mathematical foundations upon which the Internet is based. Instead, they cover a partial panorama and the key principles.Volume 1 explores Internet engineering, while the supporting mathematics is ... Read more

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This two-volume set on***Mathematical Principles of the Internet*** provides a comprehensive overview of the mathematical principles of Internet engineering. The books do not aim to provide all of the mathematical foundations upon which the Internet is based. Instead, they cover a partial panorama and the key principles.Volume 1 explores Internet engineering, while the supporting mathematics is
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Materials Informatics and Catalysts Informatics

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by Keisuke Takahashi, Lauren Takahashi ...

This textbook is designed for students and researchers who are interested in materials and catalysts informatics with little to no prior experience in data science or programming languages. Starting with a comprehensive overview of the concept and historical context of materials and catalysts informatics, it serves as a guide for establishing a robust materials informatics environment. This ... Read more

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This textbook is designed for students and researchers who are interested in materials and catalysts informatics with little to no prior experience in data science or programming languages. Starting with a comprehensive overview of the concept and historical context of materials and catalysts informatics, it serves as a guide for establishing a robust materials informatics environment. This
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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

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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
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Matroids: A Geometric Introduction

by Gary Gordon, Jennifer McNulty ...

Matroid theory is a vibrant area of research that provides a unified way to understand graph theory, linear algebra and combinatorics via finite geometry. This book provides the first comprehensive introduction to the field which will appeal to undergraduate students and to any mathematician interested in the geometric approach to matroids. Written in a friendly, fun-to-read style and developed ... Read more

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Matroid theory is a vibrant area of research that provides a unified way to understand graph theory, linear algebra and combinatorics via finite geometry. This book provides the first comprehensive introduction to the field which will appeal to undergraduate students and to any mathematician interested in the geometric approach to matroids. Written in a friendly, fun-to-read style and developed
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An Atlas of the Smaller Maps in Orientable and Nonorientable Surfaces

by David Jackson, Terry I. Visentin ...

Series series Discrete Mathematics and Its Applications
Maps are beguilingly simple structures with deep and ubiquitous properties. They arise in an essential way in many areas of mathematics and mathematical physics, but require considerable time and computational effort to generate. Few collected drawings are available for reference, and little has been written, in book form, about their enumerative a ... Read more

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Maps are beguilingly simple structures with deep and ubiquitous properties. They arise in an essential way in many areas of mathematics and mathematical physics, but require considerable time and computational effort to generate. Few collected drawings are available for reference, and little has been written, in book form, about their enumerative a
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Handbook of Applied Cryptography

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

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

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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
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Board Games: Throughout The History And Multidimensional Spaces

by Jorma Kyppo ...

Series Book 63 - Series On Knots And Everything
In this richly illustrated book, Dr Jorma Kyppö explores the history of board games dating back to Ancient Egypt, Mesopotamia, India and China. He provides a description of the evolution and various interpretations of chess. Furthermore, the book offers the study of the old Celtic and Viking board games and the old Hawaiian board game Konane, as well as a new hypothesis about the interpretation of ... Read more

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In this richly illustrated book, Dr Jorma Kyppö explores the history of board games dating back to Ancient Egypt, Mesopotamia, India and China. He provides a description of the evolution and various interpretations of chess. Furthermore, the book offers the study of the old Celtic and Viking board games and the old Hawaiian board game Konane, as well as a new hypothesis about the interpretation of
... Read more
Lo esencial en combinatoria

by Rolando E. Reytor Rodríguez ...

Aquí se exponen las Reglas Generales de la combinatoria, los Principios Aditivo y Multiplicativo, las variaciones, permutaciones y combinaciones con y sin repetición. se definen estos conceptos y se describen, enfatizando en las características que permiten identificarlos en el trabajo práctico, se deducen las fórmulas para el cálculo combinatorio y se enuncian en forma de teoremas con sus ... Read more

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Aquí se exponen las Reglas Generales de la combinatoria, los Principios Aditivo y Multiplicativo, las variaciones, permutaciones y combinaciones con y sin repetición. se definen estos conceptos y se describen, enfatizando en las características que permiten identificarlos en el trabajo práctico, se deducen las fórmulas para el cálculo combinatorio y se enuncian en forma de teoremas con sus
... Read more
Perfect Numbers and Fibonacci Sequences

by Tianxin Cai ...

In this book, we first review the history and current situation of the perfect number problem, including the origin story of the Mersenne primes, and then consider the history and current situation of the Fibonacci sequence. Both topics include results from our own research. In the later sections, we define the square sum perfect numbers, and describe for the first time the secret relationships ... Read more

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In this book, we first review the history and current situation of the perfect number problem, including the origin story of the Mersenne primes, and then consider the history and current situation of the Fibonacci sequence. Both topics include results from our own research. In the later sections, we define the square sum perfect numbers, and describe for the first time the secret relationships
... Read more
Combinatorics: Ancient & Modern

Edited by 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 ... Read more

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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
... Read more
Weyl Group Multiple Dirichlet Series

Type A Combinatorial Theory

by Ben Brubaker, Daniel Bump, Solomon Friedberg ...

Series Book 175 - Annals of Mathematics Studies
Weyl group multiple Dirichlet series are generalizations of the Riemann zeta function. Like the Riemann zeta function, they are Dirichlet series with analytic continuation and functional equations, having applications to analytic number theory. By contrast, these Weyl group multiple Dirichlet series may be functions of several complex variables and their groups of functional equations may be ... Read more

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Weyl group multiple Dirichlet series are generalizations of the Riemann zeta function. Like the Riemann zeta function, they are Dirichlet series with analytic continuation and functional equations, having applications to analytic number theory. By contrast, these Weyl group multiple Dirichlet series may be functions of several complex variables and their groups of functional equations may be
... Read more
Introduction to Combinatorial Methods in Geometry

by Alexander Kharazishvili ...

This book offers an introduction to some combinatorial (also, set-theoretical) approaches and methods in geometry of the Euclidean space Rm. The topics discussed in the manuscript are due to the field of combinatorial and convex geometry.The author’s primary intention is to discuss those themes of Euclidean geometry which might be of interest to a sufficiently wide audience of potential readers. ... Read more

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This book offers an introduction to some combinatorial (also, set-theoretical) approaches and methods in geometry of the Euclidean space Rm. The topics discussed in the manuscript are due to the field of combinatorial and convex geometry.The author’s primary intention is to discuss those themes of Euclidean geometry which might be of interest to a sufficiently wide audience of potential readers.
... Read more

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Recommended For You

Combinatorics eBooks

A Walk Through Combinatorics

Combofluke Book 1

Turing y el lenguaje de las máquinas

The Math Thought Mindset

An Invitation to the Rogers-Ramanujan Identities

Network Optimization

Understanding Physics and Physical Chemistry Using Formal Graphs

Notes on Counting: An Introduction to Enumerative Combinatorics

Principles And Techniques In Combinatorics

Erdõs–Ko–Rado Theorems: Algebraic Approaches

Enumerative Combinatorics: Volume 1

Aspects of Integration

Mathematical Principles of the Internet, Volume 2

Materials Informatics and Catalysts Informatics

Theory Of Multiple Zeta Values With Applications In Combinatorics, The

Matroids: A Geometric Introduction

An Atlas of the Smaller Maps in Orientable and Nonorientable Surfaces

Handbook of Applied Cryptography

Board Games: Throughout The History And Multidimensional Spaces

Lo esencial en combinatoria

Perfect Numbers and Fibonacci Sequences

Combinatorics: Ancient & Modern

Weyl Group Multiple Dirichlet Series

Introduction to Combinatorial Methods in Geometry