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Combinatorics

A Very Short Introduction

by Robin Wilson ...

Series 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 ... Read more

$11.99 AUD

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
... Read more
Fractal Analysis: Basic Concepts And Applications

by Carlo Cattani, Anouar Ben Mabrouk, Sabrine Arfaoui ...

Series Book 91 - Series On Advances In Mathematics For Applied Sciences
The aim of this book is to provide a basic and self-contained introduction to the ideas underpinning fractal analysis. The book illustrates some important applications issued from real data sets, real physical and natural phenomena as well as real applications in different fields, and consequently, presents to the readers the opportunity to implement fractal analysis in their specialties according ... Read more

$54.99 AUD

The aim of this book is to provide a basic and self-contained introduction to the ideas underpinning fractal analysis. The book illustrates some important applications issued from real data sets, real physical and natural phenomena as well as real applications in different fields, and consequently, presents to the readers the opportunity to implement fractal analysis in their specialties according
... Read more
Applications of Combinatorial Matrix Theory to Laplacian Matrices of Graphs

by Jason J. Molitierno ...

Series series Discrete Mathematics and Its Applications
On the surface, matrix theory and graph theory seem like very different branches of mathematics. However, adjacency, Laplacian, and incidence matrices are commonly used to represent graphs, and many properties of matrices can give us useful information about the structure of graphs.Applications of Combinatorial Matrix Theory to Laplacian Matrices o ... Read more

$127.99 AUD

On the surface, matrix theory and graph theory seem like very different branches of mathematics. However, adjacency, Laplacian, and incidence matrices are commonly used to represent graphs, and many properties of matrices can give us useful information about the structure of graphs.Applications of Combinatorial Matrix Theory to Laplacian Matrices o
... Read more
Syzygies and Hilbert Functions

Edited by Irena Peeva ...

Series series Lecture Notes in Pure and Applied Mathematics
Hilbert functions and resolutions are both central objects in commutative algebra and fruitful tools in the fields of algebraic geometry, combinatorics, commutative algebra, and computational algebra. Spurred by recent research in this area, Syzygies and Hilbert Functions explores fresh developments in the field as well as fundamental concepts. ... Read more

$499.99 AUD

Hilbert functions and resolutions are both central objects in commutative algebra and fruitful tools in the fields of algebraic geometry, combinatorics, commutative algebra, and computational algebra. Spurred by recent research in this area, Syzygies and Hilbert Functions explores fresh developments in the field as well as fundamental concepts.
... Read more
Fundamental Number Theory with Applications

by Richard A. Mollin ...

An update of the most accessible introductory number theory text available, Fundamental Number Theory with Applications, Second Edition presents a mathematically rigorous yet easy-to-follow treatment of the fundamentals and applications of the subject. The substantial amount of reorganizing makes this edition clearer and more elementary in i ... Read more

$145.99 AUD

An update of the most accessible introductory number theory text available, Fundamental Number Theory with Applications, Second Edition presents a mathematically rigorous yet easy-to-follow treatment of the fundamentals and applications of the subject. The substantial amount of reorganizing makes this edition clearer and more elementary in i
... Read more
Mathematics of Connections Made Simple

by Turing Editorial Team ...

How did the United Kingdom's pension market nearly spiral after a sudden shock? Why do echo chambers help misinformation spread, and why are pandemic super-spreaders the real hidden danger?This book is a Weekend Pocketbook on Everything You Should Know About Percolation Theory, the hidden mathematics of tipping points, cascades, and sudden collapse. Written in everyday language, this explores how ... Read more

$0.99 AUD or Free with Kobo Plus

How did the United Kingdom's pension market nearly spiral after a sudden shock? Why do echo chambers help misinformation spread, and why are pandemic super-spreaders the real hidden danger?This book is a Weekend Pocketbook on Everything You Should Know About Percolation Theory, the hidden mathematics of tipping points, cascades, and sudden collapse. Written in everyday language, this explores how
... Read more
Context-free Languages And Primitive Words

by Masami Ito, Pal Domosi ...

A word is said to be primitive if it cannot be represented as any power of another word. It is a well-known conjecture that the set of all primitive words Q over a non-trivial alphabet is not context-free: this conjecture is still open. In this book, the authors deal with properties of primitive words over a non-primitive alphabet, the language consisting of all primitive words and related ... Read more

$88.54 AUD

A word is said to be primitive if it cannot be represented as any power of another word. It is a well-known conjecture that the set of all primitive words Q over a non-trivial alphabet is not context-free: this conjecture is still open. In this book, the authors deal with properties of primitive words over a non-primitive alphabet, the language consisting of all primitive words and related
... Read more
New Directions of Modern Cryptography

by Zhenfu Cao ...

Modern cryptography has evolved dramatically since the 1970s. With the rise of new network architectures and services, the field encompasses much more than traditional communication where each side is of a single user. It also covers emerging communication where at least one side is of multiple users. New Directions of Modern Cryptography presents ... Read more

$119.82 AUD

Modern cryptography has evolved dramatically since the 1970s. With the rise of new network architectures and services, the field encompasses much more than traditional communication where each side is of a single user. It also covers emerging communication where at least one side is of multiple users. New Directions of Modern Cryptography presents
... Read more
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

$83.59 AUD

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
Elements Of Linear And Multilinear Algebra

by John M Erdman ...

This set of notes is an activity-oriented introduction to linear and multilinear algebra. The great majority of the most elementary results in these subjects are straightforward and can be verified by the thoughtful student. Indeed, that is the main point of these notes — to convince the beginner that the subject is accessible. In the material that follows there are numerous indicators that ... Read more

$39.92 AUD

This set of notes is an activity-oriented introduction to linear and multilinear algebra. The great majority of the most elementary results in these subjects are straightforward and can be verified by the thoughtful student. Indeed, that is the main point of these notes — to convince the beginner that the subject is accessible. In the material that follows there are numerous indicators that
... Read more
Bz-eAg5-iO, Aescandatius

by Aaron Cotton ...

A-quantic inculpates of R-Delta 0-Zeta-planarity sequential propagates elicited via t-xi-collaterality O-nonic/A-Fraktur-pronic features demarcate deformative tau-functorship y-epi-palindromal efficiency matrices-Rho-factorial/t-gather-Aleph-zeta, ad hoc minorheuristical taxonomy ubiquity set 0-i-Fraktur-W/g-inhibited g-functorized ambient-equipollent-scalar radicles for b-stratae epi-chromality ... Read more

$8.57 AUD

A-quantic inculpates of R-Delta 0-Zeta-planarity sequential propagates elicited via t-xi-collaterality O-nonic/A-Fraktur-pronic features demarcate deformative tau-functorship y-epi-palindromal efficiency matrices-Rho-factorial/t-gather-Aleph-zeta, ad hoc minorheuristical taxonomy ubiquity set 0-i-Fraktur-W/g-inhibited g-functorized ambient-equipollent-scalar radicles for b-stratae epi-chromality
... Read more
Graph Theory

An Introduction to Proofs, Algorithms, and Applications

by Karin R Saoub ...

Series series Discrete Mathematics and Its Applications
Graph Theory: An Introduction to Proofs, Algorithms, and ApplicationsGraph theory is the study of interactions, conflicts, and connections. The relationship between collections of discrete objects can inform us about the overall network in which they reside, and graph theory can provide an avenue for analysis.This text, for the first undergraduate course, will explore major topics in graph theory ... Read more

$106.00 AUD

Graph Theory: An Introduction to Proofs, Algorithms, and ApplicationsGraph theory is the study of interactions, conflicts, and connections. The relationship between collections of discrete objects can inform us about the overall network in which they reside, and graph theory can provide an avenue for analysis.This text, for the first undergraduate course, will explore major topics in graph theory
... Read more
Catalan Numbers

by Elena Deza ...

Series Book 4 - Selected Chapters of Number Theory: Special Numbers
Catalan numbers, named after the French-Belgian mathematician Eugène Charles Catalan (1814–1894), arise in a variety of combinatorial problems. They have many interesting properties, a rich history, and numerous arithmetic, number-theoretical, analytical, and combinatorial connections, as well as a variety of classical and modern applications. Considering the long list of open problems and ... Read more

$174.12 AUD

Catalan numbers, named after the French-Belgian mathematician Eugène Charles Catalan (1814–1894), arise in a variety of combinatorial problems. They have many interesting properties, a rich history, and numerous arithmetic, number-theoretical, analytical, and combinatorial connections, as well as a variety of classical and modern applications. Considering the long list of open problems and
... Read more
Connections in Discrete Mathematics

A Celebration of the Work of Ron Graham

Edited by Steve Butler, Joshua Cooper, Glenn Hurlbert ...

Discrete mathematics has been rising in prominence in the past fifty years, both as a tool with practical applications and as a source of new and interesting mathematics. The topics in discrete mathematics have become so well developed that it is easy to forget that common threads connect the different areas, and it is through discovering and using these connections that progress is often made. ... Read more

$91.99 AUD

Discrete mathematics has been rising in prominence in the past fifty years, both as a tool with practical applications and as a source of new and interesting mathematics. The topics in discrete mathematics have become so well developed that it is easy to forget that common threads connect the different areas, and it is through discovering and using these connections that progress is often made.
... Read more
Groups, Graphs and Random Walks

Edited by Tullio Ceccherini-Silberstein, Maura Salvatori, Ecaterina Sava-Huss ...

Series Book 436 - London Mathematical Society Lecture Note Series
An accessible and panoramic account of the theory of random walks on groups and graphs, stressing the strong connections of the theory with other branches of mathematics, including geometric and combinatorial group theory, potential analysis, and theoretical computer science. This volume brings together original surveys and research-expository papers from renowned and leading experts, many of whom ... Read more

$127.48 AUD

An accessible and panoramic account of the theory of random walks on groups and graphs, stressing the strong connections of the theory with other branches of mathematics, including geometric and combinatorial group theory, potential analysis, and theoretical computer science. This volume brings together original surveys and research-expository papers from renowned and leading experts, many of whom
... Read more
Contemporary Developments In Finite Fields And Applications

by Gove Effinger, Daniel Panario, Leo Storme, Anne Canteaut, Sophie Huczynska ...

The volume is a collection of 20 refereed articles written in connection with lectures presented at the 12th International Conference on Finite Fields and Their Applications ('Fq12') at Skidmore College in Saratoga Springs, NY in July 2015. Finite fields are central to modern cryptography and secure digital communication, and hence must evolve rapidly to keep pace with new technologies. Topics in ... Read more

$69.40 AUD

The volume is a collection of 20 refereed articles written in connection with lectures presented at the 12th International Conference on Finite Fields and Their Applications ('Fq12') at Skidmore College in Saratoga Springs, NY in July 2015. Finite fields are central to modern cryptography and secure digital communication, and hence must evolve rapidly to keep pace with new technologies. Topics in
... Read more
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

$152.01 AUD

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
Surveys in Combinatorics 2015

Edited by Artur Czumaj, Agelos Georgakopoulos, Daniel Král, Vadim Lozin, Oleg Pikhurko ...

Series Book 424 - London Mathematical Society Lecture Note Series
This volume contains nine survey articles based on the invited lectures given at the 25th British Combinatorial Conference, held at the University of Warwick in July 2015. This biennial conference is a well-established international event, with speakers from around the world. The volume provides an up-to-date overview of current research in several areas of combinatorics, including graph theory, ... Read more

$125.39 AUD

This volume contains nine survey articles based on the invited lectures given at the 25th British Combinatorial Conference, held at the University of Warwick in July 2015. This biennial conference is a well-established international event, with speakers from around the world. The volume provides an up-to-date overview of current research in several areas of combinatorics, including graph theory,
... Read more
Verification of Computer Codes in Computational Science and Engineering

by Patrick Knupp, Kambiz Salari ...

Series series Discrete Mathematics and Its Applications
How can one be assured that computer codes that solve differential equations are correct? Standard practice using benchmark testing no longer provides full coverage because today's production codes solve more complex equations using more powerful algorithms. By verifying the order-of-accuracy of the numerical algorithm implemented in the code, one can detect most any coding mistake that would ... Read more

$361.04 AUD

How can one be assured that computer codes that solve differential equations are correct? Standard practice using benchmark testing no longer provides full coverage because today's production codes solve more complex equations using more powerful algorithms. By verifying the order-of-accuracy of the numerical algorithm implemented in the code, one can detect most any coding mistake that would
... Read more
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

$75.23 AUD

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
Algebraic Operads

An Algorithmic Companion

by Murray R. Bremner, Vladimir Dotsenko ...

This book presents a systematic treatment of Grobner bases in several contexts. The book builds up to the theory of Grobner bases for operads due to the second author and Khoroshkin as well as various applications of the corresponding diamond lemmas in algebra. Throughout the book, both the mathematical theory and computational methods are emphasized and numerous algorithms, examples, and ... Read more

$167.45 AUD

This book presents a systematic treatment of Grobner bases in several contexts. The book builds up to the theory of Grobner bases for operads due to the second author and Khoroshkin as well as various applications of the corresponding diamond lemmas in algebra. Throughout the book, both the mathematical theory and computational methods are emphasized and numerous algorithms, examples, and
... Read more
Algebraic Number Theory

by Richard A. Mollin ...

Series series Discrete Mathematics and Its Applications
Bringing the material up to date to reflect modern applications, this second edition has been completely rewritten and reorganized to incorporate a new style, methodology, and presentation. It offers a more complete and involved treatment of Galois theory, a more comprehensive section on Pollard's cubic factoring algorithm, and more detailed explanations of proofs to provide a sound understanding ... Read more

$127.51 AUD

Bringing the material up to date to reflect modern applications, this second edition has been completely rewritten and reorganized to incorporate a new style, methodology, and presentation. It offers a more complete and involved treatment of Galois theory, a more comprehensive section on Pollard's cubic factoring algorithm, and more detailed explanations of proofs to provide a sound understanding
... Read more
Handbook of Discrete and Computational Geometry

Edited by Csaba D. Toth, Joseph O'Rourke, Jacob E. Goodman ...

Series series Discrete Mathematics and Its Applications
The Handbook of Discrete and Computational Geometry is intended as a reference book fully accessible to nonspecialists as well as specialists, covering all major aspects of both fields.The book offers the most important results and methods in discrete and computational geometry to those who use them in their work, both in the academic world—as researchers in mathematics and computer science—and in ... Read more

Was $676.99 AUD Now $608.42 AUD

The Handbook of Discrete and Computational Geometry is intended as a reference book fully accessible to nonspecialists as well as specialists, covering all major aspects of both fields.The book offers the most important results and methods in discrete and computational geometry to those who use them in their work, both in the academic world—as researchers in mathematics and computer science—and in
... Read more
Esercizi di matematica: calcolo combinatorio e statistica elementare

by Simone Malacrida ...

In questo libro sono svolti degli esercizi riguardo i seguenti argomenti matematici:calcolo combinatorio e calcolo delle probabilitàprobabilità condizionata e teorema di Bayescalcolo di parametri statistici: media, mediana, moda e varianzaSono altresì presentati dei cenni teorici iniziali per fare comprendere lo svolgimento degli esercizi. ... Read more

$5.49 AUD

In questo libro sono svolti degli esercizi riguardo i seguenti argomenti matematici:calcolo combinatorio e calcolo delle probabilitàprobabilità condizionata e teorema di Bayescalcolo di parametri statistici: media, mediana, moda e varianzaSono altresì presentati dei cenni teorici iniziali per fare comprendere lo svolgimento degli esercizi.
... Read more

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