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Recommended For You

Forbidden Configurations in Discrete Geometry

by David Eppstein ...

This book surveys the mathematical and computational properties of finite sets of points in the plane, covering recent breakthroughs on important problems in discrete geometry, and listing many open problems. It unifies these mathematical and computational views using forbidden configurations, which are patterns that cannot appear in sets with a given property, and explores the implications of ... Read more

40,59 €

This book surveys the mathematical and computational properties of finite sets of points in the plane, covering recent breakthroughs on important problems in discrete geometry, and listing many open problems. It unifies these mathematical and computational views using forbidden configurations, which are patterns that cannot appear in sets with a given property, and explores the implications of
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IMO Problems, Theorems, and Methods

Combinatorics

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

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

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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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Codes and Automata

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

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

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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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Introducing Game Theory and its Applications

by Elliott Mendelson, Daniel Zwillinger ...

Series series Advances in Applied Mathematics
This classic text, originally from the noted logician Elliot Mendelson, is intended to be an easy-to-read introduction to the basic ideas and techniques of game theory. It can be used as a class textbook or for self-study.Introducing Game Theory and its Applications, Second Edition presents an easy-to-read introduction to the basic ideas and techniques of game theory. After a brief introduction, ... Read more

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This classic text, originally from the noted logician Elliot Mendelson, is intended to be an easy-to-read introduction to the basic ideas and techniques of game theory. It can be used as a class textbook or for self-study.Introducing Game Theory and its Applications, Second Edition presents an easy-to-read introduction to the basic ideas and techniques of game theory. After a brief introduction,
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Polynomials and the mod 2 Steenrod Algebra: Volume 2, Representations of GL (n,F2)

by Grant Walker, Reginald M. W. Wood ...

Series Book 442 - London Mathematical Society Lecture Note Series
This is the first book to link the mod 2 Steenrod algebra, a classical object of study in algebraic topology, with modular representations of matrix groups over the field F of two elements. The link is provided through a detailed study of Peterson's `hit problem' concerning the action of the Steenrod algebra on polynomials, which remains unsolved except in special cases. The topics range from ... Read more

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This is the first book to link the mod 2 Steenrod algebra, a classical object of study in algebraic topology, with modular representations of matrix groups over the field F of two elements. The link is provided through a detailed study of Peterson's `hit problem' concerning the action of the Steenrod algebra on polynomials, which remains unsolved except in special cases. The topics range from
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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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A List of Factorial Math Constants

by Anonymous ...

A List of Factorial Math Constants is a compact numerical reference gathering constants and tabulated values built from factorial expressions—factorials and related products, ratios, and series whose terms involve n!. Designed for quick consultation rather than narrative reading, it presents computed decimal values (often to many places) and organized tables useful for hand calculation, checking ... Read more

19,99 €

A List of Factorial Math Constants is a compact numerical reference gathering constants and tabulated values built from factorial expressions—factorials and related products, ratios, and series whose terms involve n!. Designed for quick consultation rather than narrative reading, it presents computed decimal values (often to many places) and organized tables useful for hand calculation, checking
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A Course in Combinatorics

by J. H. van Lint, R. M. Wilson ...

This is the second edition of a popular book on combinatorics, a subject dealing with ways of arranging and distributing objects, and which involves ideas from geometry, algebra and analysis. The breadth of the theory is matched by that of its applications, which include topics as diverse as codes, circuit design and algorithm complexity. It has thus become essential for workers in many scientific ... Read more

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This is the second edition of a popular book on combinatorics, a subject dealing with ways of arranging and distributing objects, and which involves ideas from geometry, algebra and analysis. The breadth of the theory is matched by that of its applications, which include topics as diverse as codes, circuit design and algorithm complexity. It has thus become essential for workers in many scientific
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A Philosophical Essay on Probabilities

by Laplace ...

A Philosophical Essay on Probabilities, written by the eminent French mathematician Pierre-Simon Laplace, is a foundational work that explores the theory and application of probability in both scientific and everyday contexts. First published in 1814, this influential treatise distills Laplace’s groundbreaking ideas on probability, uncertainty, and statistical reasoning, making them accessible to ... Read more

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A Philosophical Essay on Probabilities, written by the eminent French mathematician Pierre-Simon Laplace, is a foundational work that explores the theory and application of probability in both scientific and everyday contexts. First published in 1814, this influential treatise distills Laplace’s groundbreaking ideas on probability, uncertainty, and statistical reasoning, making them accessible to
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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
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Exercises And Problems In Linear Algebra

by John M Erdman ...

This book contains an extensive collection of exercises and problems that address relevant topics in linear algebra. Topics that the author finds missing or inadequately covered in most existing books are also included. The exercises will be both interesting and helpful to an average student. Some are fairly routine calculations, while others require serious thought.The format of the questions ... Read more

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This book contains an extensive collection of exercises and problems that address relevant topics in linear algebra. Topics that the author finds missing or inadequately covered in most existing books are also included. The exercises will be both interesting and helpful to an average student. Some are fairly routine calculations, while others require serious thought.The format of the questions
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Elliptic Curves

Number Theory and Cryptography, Second Edition

by Lawrence C. Washington ...

Series series Discrete Mathematics and Its Applications
Like its bestselling predecessor, Elliptic Curves: Number Theory and Cryptography, Second Edition develops the theory of elliptic curves to provide a basis for both number theoretic and cryptographic applications. With additional exercises, this edition offers more comprehensive coverage of the fundamental theory, techniques, and application ... Read more

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Like its bestselling predecessor, Elliptic Curves: Number Theory and Cryptography, Second Edition develops the theory of elliptic curves to provide a basis for both number theoretic and cryptographic applications. With additional exercises, this edition offers more comprehensive coverage of the fundamental theory, techniques, and application
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How to Guard an Art Gallery and Other Discrete Mathematical Adventures

by T.S. Michael ...

What is the maximum number of pizza slices one can get by making four straight cuts through a circular pizza? How does a computer determine the best set of pixels to represent a straight line on a computer screen? How many people at a minimum does it take to guard an art gallery?Discrete mathematics has the answer to these—and many other—questions of picking, choosing, and shuffling. T. S. Michael ... Read more

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What is the maximum number of pizza slices one can get by making four straight cuts through a circular pizza? How does a computer determine the best set of pixels to represent a straight line on a computer screen? How many people at a minimum does it take to guard an art gallery?Discrete mathematics has the answer to these—and many other—questions of picking, choosing, and shuffling. T. S. Michael
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Concise Encyclopedia of Coding Theory

Edited by W. Cary Huffman, Jon-Lark Kim, Patrick Solé ...

Most coding theory experts date the origin of the subject with the 1948 publication of A Mathematical Theory of Communication by Claude Shannon. Since then, coding theory has grown into a discipline with many practical applications (antennas, networks, memories), requiring various mathematical techniques, from commutative algebra, to semi-definite programming, to algebraic geometry.Most topics ... Read more

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Most coding theory experts date the origin of the subject with the 1948 publication of A Mathematical Theory of Communication by Claude Shannon. Since then, coding theory has grown into a discipline with many practical applications (antennas, networks, memories), requiring various mathematical techniques, from commutative algebra, to semi-definite programming, to algebraic geometry.Most topics
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Representation Theory of Symmetric Groups

by Pierre-Loic Meliot ...

Series series Discrete Mathematics and Its Applications
Representation Theory of Symmetric Groups is the most up-to-date abstract algebra book on the subject of symmetric groups and representation theory. Utilizing new research and results, this book can be studied from a combinatorial, algorithmic or algebraic viewpoint.This book is an excellent way of introducing today’s students to representation theory of the symmetric groups, namely classical ... Read more

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Representation Theory of Symmetric Groups is the most up-to-date abstract algebra book on the subject of symmetric groups and representation theory. Utilizing new research and results, this book can be studied from a combinatorial, algorithmic or algebraic viewpoint.This book is an excellent way of introducing today’s students to representation theory of the symmetric groups, namely classical
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The Mathematics of Chip-Firing

by Caroline J. Klivans ...

Series series Discrete Mathematics and Its Applications
The Mathematics of Chip-firing is a solid introduction and overview of the growing field of chip-firing. It offers an appreciation for the richness and diversity of the subject. Chip-firing refers to a discrete dynamical system — a commodity is exchanged between sites of a network according to very simple local rules. Although governed by local rules, the long-term global behavior of the system ... Read more

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The Mathematics of Chip-firing is a solid introduction and overview of the growing field of chip-firing. It offers an appreciation for the richness and diversity of the subject. Chip-firing refers to a discrete dynamical system — a commodity is exchanged between sites of a network according to very simple local rules. Although governed by local rules, the long-term global behavior of the system
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Introduction to Radar Analysis

by Bassem R. Mahafza ...

Series series Advances in Applied Mathematics
Introduction to Radar Analysis, Second Edition is a major revision of the popular textbook. It is written within the context of communication theory as well as the theory of signals and noise. By emphasizing principles and fundamentals, the textbook serves as a vital source for students and engineers.Part I bridges the gap between communication, signal analysis, and radar. Topics include ... Read more

63,50 €

Introduction to Radar Analysis, Second Edition is a major revision of the popular textbook. It is written within the context of communication theory as well as the theory of signals and noise. By emphasizing principles and fundamentals, the textbook serves as a vital source for students and engineers.Part I bridges the gap between communication, signal analysis, and radar. Topics include
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Game Theory

A Modeling Approach

by Richard Alan Gillman, David Housman ...

Series series Textbooks in Mathematics
Game Theory: A Modeling Approach quickly moves readers through the fundamental ideas of the subject to enable them to engage in creative modeling projects based on game theoretic concepts.The authors match conclusions to real-world scenarios and applications. The text engages students in active learning, group work, in-class discussions and interactive simulations.Each chapter provides foundation ... Read more

63,50 €

Game Theory: A Modeling Approach quickly moves readers through the fundamental ideas of the subject to enable them to engage in creative modeling projects based on game theoretic concepts.The authors match conclusions to real-world scenarios and applications. The text engages students in active learning, group work, in-class discussions and interactive simulations.Each chapter provides foundation
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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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Introduction to Cryptography

by Sahadeo Padhye, Rajeev A. Sahu, Vishal Saraswat ...

Electronic communication and financial transactions have assumed massive proportions today. But they come with high risks. Achieving cyber security has become a top priority, and has become one of the most crucial areas of study and research in IT. This book introduces readers to perhaps the most effective tool in achieving a secure environment, i.e. cryptography. This book offers more solved ... Read more

65,94 €

Electronic communication and financial transactions have assumed massive proportions today. But they come with high risks. Achieving cyber security has become a top priority, and has become one of the most crucial areas of study and research in IT. This book introduces readers to perhaps the most effective tool in achieving a secure environment, i.e. cryptography. This book offers more solved
... Read more
Buildings and Schubert Schemes

by Carlos Contou-Carrere ...

The first part of this book introduces the Schubert Cells and varieties of the general linear group Gl (k^(r+1)) over a field k according to Ehresmann geometric way. Smooth resolutions for these varieties are constructed in terms of Flag Configurations in k^(r+1) given by linear graphs called Minimal Galleries. In the second part, Schubert Schemes, the Universal Schubert Scheme and their Canonical ... Read more

65,94 €

The first part of this book introduces the Schubert Cells and varieties of the general linear group Gl (k^(r+1)) over a field k according to Ehresmann geometric way. Smooth resolutions for these varieties are constructed in terms of Flag Configurations in k^(r+1) given by linear graphs called Minimal Galleries. In the second part, Schubert Schemes, the Universal Schubert Scheme and their Canonical
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Combinatorial Nullstellensatz

With Applications to Graph Colouring

by Xuding Zhu, R. Balakrishnan ...

Combinatorial Nullstellensatz is a novel theorem in algebra introduced by Noga Alon to tackle combinatorial problems in diverse areas of mathematics. This book focuses on the applications of this theorem to graph colouring. A key step in the applications of Combinatorial Nullstellensatz is to show that the coefficient of a certain monomial in the expansion of a polynomial is nonzero. The major ... Read more

30,52 €

Combinatorial Nullstellensatz is a novel theorem in algebra introduced by Noga Alon to tackle combinatorial problems in diverse areas of mathematics. This book focuses on the applications of this theorem to graph colouring. A key step in the applications of Combinatorial Nullstellensatz is to show that the coefficient of a certain monomial in the expansion of a polynomial is nonzero. The major
... Read more
Surveys in Combinatorics 2017

Edited by Anders Claesson, Mark Dukes, Sergey Kitaev, David Manlove, Kitty Meeks ...

Series Book 440 - London Mathematical Society Lecture Note Series
This volume contains nine survey articles which provide expanded accounts of plenary seminars given at the British Combinatorial Conference at the University of Strathclyde in July 2017. This biennial conference is a well-established international event attracting speakers from around the world. Written by internationally recognised experts in the field, these articles represent a timely snapshot ... Read more

103,55 €

This volume contains nine survey articles which provide expanded accounts of plenary seminars given at the British Combinatorial Conference at the University of Strathclyde in July 2017. This biennial conference is a well-established international event attracting speakers from around the world. Written by internationally recognised experts in the field, these articles represent a timely snapshot
... Read more
Combinatorics of Minuscule Representations

by R. M. Green ...

Series Book 199 - Cambridge Tracts in Mathematics
Minuscule representations occur in a variety of contexts in mathematics and physics. They are typically much easier to understand than representations in general, which means they give rise to relatively easy constructions of algebraic objects such as Lie algebras and Weyl groups. This book describes a combinatorial approach to minuscule representations of Lie algebras using the theory of heaps, ... Read more

122,84 €

Minuscule representations occur in a variety of contexts in mathematics and physics. They are typically much easier to understand than representations in general, which means they give rise to relatively easy constructions of algebraic objects such as Lie algebras and Weyl groups. This book describes a combinatorial approach to minuscule representations of Lie algebras using the theory of heaps,
... Read more

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Recommended For You

Combinatorics eBooks

Forbidden Configurations in Discrete Geometry

IMO Problems, Theorems, and Methods

Codes and Automata

Introducing Game Theory and its Applications

Polynomials and the mod 2 Steenrod Algebra: Volume 2, Representations of GL (n,F2)

Theory Of Multiple Zeta Values With Applications In Combinatorics, The

A List of Factorial Math Constants

A Course in Combinatorics

A Philosophical Essay on Probabilities

Perfect Numbers and Fibonacci Sequences

Exercises And Problems In Linear Algebra

Elliptic Curves

How to Guard an Art Gallery and Other Discrete Mathematical Adventures

Concise Encyclopedia of Coding Theory

Representation Theory of Symmetric Groups

The Mathematics of Chip-Firing

Introduction to Radar Analysis

Game Theory

The Math Thought Mindset

Introduction to Cryptography

Buildings and Schubert Schemes

Combinatorial Nullstellensatz

Surveys in Combinatorics 2017

Combinatorics of Minuscule Representations