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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
Symmetric Cycles

by Andrey O. Matveev ...

This original research monograph concerns various aspects of how (based on the decompositions of vertices of hypercube graphs with respect to their symmetric cycles) the vertex sets of related discrete hypercubes, as well as the power sets of the corresponding ground sets, emerge from rank 2 oriented matroids, from underlying rank 2 systems of linear inequalities, and thus literally from ... Read more

$200.99 AUD

This original research monograph concerns various aspects of how (based on the decompositions of vertices of hypercube graphs with respect to their symmetric cycles) the vertex sets of related discrete hypercubes, as well as the power sets of the corresponding ground sets, emerge from rank 2 oriented matroids, from underlying rank 2 systems of linear inequalities, and thus literally from
... Read more
Slicing The Truth: On The Computable And Reverse Mathematics Of Combinatorial Principles

by Denis R Hirschfeldt, Chitat Chong, Qi Feng, Yue Yang, Theodore A Slaman, W Hugh Woodin ...

Series Book 28 - Lecture Notes Series, Institute For Mathematical Sciences, National University Of Singapore
This book is a brief and focused introduction to the reverse mathematics and computability theory of combinatorial principles, an area of research which has seen a particular surge of activity in the last few years. It provides an overview of some fundamental ideas and techniques, and enough context to make it possible for students with at least a basic knowledge of computability theory and proof ... Read more

Was $29.99 AUD Now $26.99 AUD

This book is a brief and focused introduction to the reverse mathematics and computability theory of combinatorial principles, an area of research which has seen a particular surge of activity in the last few years. It provides an overview of some fundamental ideas and techniques, and enough context to make it possible for students with at least a basic knowledge of computability theory and proof
... Read more
Codes From Difference Sets

by Cunsheng Ding ...

This is the first monograph on codebooks and linear codes from difference sets and almost difference sets. It aims at providing a survey of constructions of difference sets and almost difference sets as well as an in-depth treatment of codebooks and linear codes from difference sets and almost difference sets. To be self-contained, this monograph covers necessary mathematical foundations and the ... Read more

$72.99 AUD

This is the first monograph on codebooks and linear codes from difference sets and almost difference sets. It aims at providing a survey of constructions of difference sets and almost difference sets as well as an in-depth treatment of codebooks and linear codes from difference sets and almost difference sets. To be self-contained, this monograph covers necessary mathematical foundations and the
... Read more
Introduction to Chemical Graph Theory

by Stephan Wagner, Hua Wang ...

Series series Discrete Mathematics and Its Applications
Introduction to Chemical Graph Theory is a concise introduction to the main topics and techniques in chemical graph theory, specifically the theory of topological indices. These include distance-based, degree-based, and counting-based indices. The book covers some of the most commonly used mathematical approaches in the subject. It is also written with the knowledge that chemical graph theory has ... Read more

$101.85 AUD

Introduction to Chemical Graph Theory is a concise introduction to the main topics and techniques in chemical graph theory, specifically the theory of topological indices. These include distance-based, degree-based, and counting-based indices. The book covers some of the most commonly used mathematical approaches in the subject. It is also written with the knowledge that chemical graph theory has
... Read more
Analysis of Boolean Functions

by Ryan O'Donnell ...

Boolean functions are perhaps the most basic objects of study in theoretical computer science. They also arise in other areas of mathematics, including combinatorics, statistical physics, and mathematical social choice. The field of analysis of Boolean functions seeks to understand them via their Fourier transform and other analytic methods. This text gives a thorough overview of the field, ... Read more

$46.74 AUD

Boolean functions are perhaps the most basic objects of study in theoretical computer science. They also arise in other areas of mathematics, including combinatorics, statistical physics, and mathematical social choice. The field of analysis of Boolean functions seeks to understand them via their Fourier transform and other analytic methods. This text gives a thorough overview of the field,
... Read more
Checkmate!

Checkmate!, #1

by Thomas Ip ...

Series Book 1 - Checkmate!
Chess is board game of strategy, intellect, and artistry that has captivated minds for many years. In this book, we will embark an exciting journey, discussing about certain topics from the basic fundamentals and the history of chess to advanced techniques to win any game. There is at least one thing for every chess player. Get your chess board and start reading! ... Read more

$6.99 AUD or Free with Kobo Plus

Chess is board game of strategy, intellect, and artistry that has captivated minds for many years. In this book, we will embark an exciting journey, discussing about certain topics from the basic fundamentals and the history of chess to advanced techniques to win any game. There is at least one thing for every chess player. Get your chess board and start reading!
... 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

$347.27 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
Real Analysis

An Undergraduate Problem Book for Mathematicians, Applied Scientists, and Engineers

by Gustavo Da Silva Araújo, Luis Bernal González, José L. Gámez Merino, María E. Martínez Gómez, Gustavo A. Muñoz Fernández, Daniel L. Rodríguez Vidanes, Juan B. Seoane Sepúlveda ...

Real Analysis: An Undergraduate Problem Book for Mathematicians, Applied Scientists, and Engineers is a classical Real Analysis/Calculus problem book. This topic has been a compulsory subject for every undergraduate studying mathematics or engineering for a very long time. This volume contains a huge number of engaging problems and solutions, as well as detailed explanations of how to achieve ... Read more

$123.46 AUD

Real Analysis: An Undergraduate Problem Book for Mathematicians, Applied Scientists, and Engineers is a classical Real Analysis/Calculus problem book. This topic has been a compulsory subject for every undergraduate studying mathematics or engineering for a very long time. This volume contains a huge number of engaging problems and solutions, as well as detailed explanations of how to achieve
... Read more
Boundaries and Hulls of Euclidean Graphs

From Theory to Practice

by Ahcene Bounceur, Madani Bezoui, Reinhardt Euler ...

Boundaries and Hulls of Euclidean Graphs: From Theory to Practice presents concepts and algorithms for finding convex, concave and polygon hulls of Euclidean graphs. It also includes some implementations, determining and comparing their complexities. Since the implementation is application-dependent, either centralized or distributed, some basic concepts of the centralized and distributed versions ... Read more

$104.94 AUD

Boundaries and Hulls of Euclidean Graphs: From Theory to Practice presents concepts and algorithms for finding convex, concave and polygon hulls of Euclidean graphs. It also includes some implementations, determining and comparing their complexities. Since the implementation is application-dependent, either centralized or distributed, some basic concepts of the centralized and distributed versions
... Read more
Elements of Algebraic Coding Theory

by L.R. Vermani ...

Series series Chapman Hall/CRC Mathematics Series
Coding theory came into existence in the late 1940s and is concerned with devising efficient encoding and decoding procedures. The book is intended as a principal text for first courses in coding and algebraic coding theory, and is aimed at advanced undergraduates and recent graduates as both a course and self-study text. BCH and cyclic, Group codes, Hamming codes, polynomial as well as many other ... Read more

$114.20 AUD

Coding theory came into existence in the late 1940s and is concerned with devising efficient encoding and decoding procedures. The book is intended as a principal text for first courses in coding and algebraic coding theory, and is aimed at advanced undergraduates and recent graduates as both a course and self-study text. BCH and cyclic, Group codes, Hamming codes, polynomial as well as many other
... 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

$160.50 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
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

$39.99 AUD

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
(1+ 1)-nonlinear Universe Of The Parabolic Map And Combinatorics, The

by James D Louck, Myron L Stein ...

This monograph develops chaos theory from properties of the graphs inverse to the parabolic map of the interval [0, 2], where the height at the midpoint x = 1 may be viewed as a time-like parameter, which together with the x-coordinate, provide the two parameters that uniquely characterize the parabola, and which are used throughout the monograph. There is only one basic mathematical operation ... Read more

$48.61 AUD

This monograph develops chaos theory from properties of the graphs inverse to the parabolic map of the interval [0, 2], where the height at the midpoint x = 1 may be viewed as a time-like parameter, which together with the x-coordinate, provide the two parameters that uniquely characterize the parabola, and which are used throughout the monograph. There is only one basic mathematical operation
... Read more
Discrete Mathematics for Data Science

by Jack Pope ...

Discrete Mathematics for Data Science provides an early course in both Data Science and Discrete Mathematics, focusing on how a deeper understanding of the former can unlock a more effective implementation of the latter. Students of Data Science come from a variety of disciplines, with Business, Statistics, Computer Science, Economics, and Psychology among the departments offering courses on the ... Read more

$109.57 AUD

Discrete Mathematics for Data Science provides an early course in both Data Science and Discrete Mathematics, focusing on how a deeper understanding of the former can unlock a more effective implementation of the latter. Students of Data Science come from a variety of disciplines, with Business, Statistics, Computer Science, Economics, and Psychology among the departments offering courses on the
... Read more
Applied Algebra

Codes, Ciphers and Discrete Algorithms, Second Edition

by Darel W. Hardy, Fred Richman, Carol L. Walker ...

Series series Discrete Mathematics and Its Applications
Using mathematical tools from number theory and finite fields, Applied Algebra: Codes, Ciphers, and Discrete Algorithms, Second Edition presents practical methods for solving problems in data security and data integrity. It is designed for an applied algebra course for students who have had prior classes in abstract or linear algebra. While the content has been reworked and improved, this edition ... Read more

$308.68 AUD

Using mathematical tools from number theory and finite fields, Applied Algebra: Codes, Ciphers, and Discrete Algorithms, Second Edition presents practical methods for solving problems in data security and data integrity. It is designed for an applied algebra course for students who have had prior classes in abstract or linear algebra. While the content has been reworked and improved, this edition
... Read more
Graph-Based Social Media Analysis

Edited by Ioannis Pitas ...

Series series Chapman & Hall/CRC Data Mining and Knowledge Discovery Series
Focused on the mathematical foundations of social media analysis, Graph-Based Social Media Analysis provides a comprehensive introduction to the use of graph analysis in the study of social and digital media. It addresses an important scientific and technological challenge, namely the confluence of graph analysis and network theory with linear alge ... Read more

$98.76 AUD

Focused on the mathematical foundations of social media analysis, Graph-Based Social Media Analysis provides a comprehensive introduction to the use of graph analysis in the study of social and digital media. It addresses an important scientific and technological challenge, namely the confluence of graph analysis and network theory with linear alge
... Read more
Domination in Graphs

Volume 2: Advanced Topics

by Teresa W. Haynes, Stephen Hedetniemi, Peter Slater ...

Series series Chapman & Hall/CRC Pure and Applied Mathematics
""Presents the latest in graph domination by leading researchers from around the world-furnishing known results, open research problems, and proof techniques. Maintains standardized terminology and notation throughout for greater accessibility. Covers recent developments in domination in graphs and digraphs, dominating functions, combinatorial problems on chessboards, and more. ... Read more

$648.23 AUD

""Presents the latest in graph domination by leading researchers from around the world-furnishing known results, open research problems, and proof techniques. Maintains standardized terminology and notation throughout for greater accessibility. Covers recent developments in domination in graphs and digraphs, dominating functions, combinatorial problems on chessboards, and more.
... Read more
The Cauchy-Schwarz Master Class

An Introduction to the Art of Mathematical Inequalities

by J. Michael Steele ...

This lively, problem-oriented text, first published in 2004, is designed to coach readers toward mastery of the most fundamental mathematical inequalities. With the Cauchy-Schwarz inequality as the initial guide, the reader is led through a sequence of fascinating problems whose solutions are presented as they might have been discovered - either by one of history's famous mathematicians or by the ... Read more

$57.85 AUD

This lively, problem-oriented text, first published in 2004, is designed to coach readers toward mastery of the most fundamental mathematical inequalities. With the Cauchy-Schwarz inequality as the initial guide, the reader is led through a sequence of fascinating problems whose solutions are presented as they might have been discovered - either by one of history's famous mathematicians or by the
... Read more
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

$135.80 AUD

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
Counting

by Eng Guan Tay, Khee-meng Koh ...

This book is a useful, attractive introduction to basic counting techniques for upper secondary and junior college students, as well as teachers. Younger students and lay people who appreciate mathematics, not to mention avid puzzle solvers, will also find the book interesting. The various problems and applications here are good for building up proficiency in counting. They are also useful for ... Read more

Was $24.99 AUD Now $21.99 AUD

This book is a useful, attractive introduction to basic counting techniques for upper secondary and junior college students, as well as teachers. Younger students and lay people who appreciate mathematics, not to mention avid puzzle solvers, will also find the book interesting. The various problems and applications here are good for building up proficiency in counting. They are also useful for
... Read more
Finite Geometry and Combinatorial Applications

by Simeon Ball ...

Series Book 82 - London Mathematical Society Student Texts
The projective and polar geometries that arise from a vector space over a finite field are particularly useful in the construction of combinatorial objects, such as latin squares, designs, codes and graphs. This book provides an introduction to these geometries and their many applications to other areas of combinatorics. Coverage includes a detailed treatment of the forbidden subgraph problem from ... Read more

$58.62 AUD

The projective and polar geometries that arise from a vector space over a finite field are particularly useful in the construction of combinatorial objects, such as latin squares, designs, codes and graphs. This book provides an introduction to these geometries and their many applications to other areas of combinatorics. Coverage includes a detailed treatment of the forbidden subgraph problem from
... Read more
Spanning Tree Results For Graphs And Multigraphs: A Matrix-theoretic Approach

by Daniel J Gross, John T Saccoman, Charles L Suffel ...

This book is concerned with the optimization problem of maximizing the number of spanning trees of a multigraph. Since a spanning tree is a minimally connected subgraph, graphs and multigraphs having more of these are, in some sense, immune to disconnection by edge failure. We employ a matrix-theoretic approach to the calculation of the number of spanning trees.The authors envision this as a ... Read more

$47.29 AUD

This book is concerned with the optimization problem of maximizing the number of spanning trees of a multigraph. Since a spanning tree is a minimally connected subgraph, graphs and multigraphs having more of these are, in some sense, immune to disconnection by edge failure. We employ a matrix-theoretic approach to the calculation of the number of spanning trees.The authors envision this as a
... Read more
United States of Africa : 54 Rooms, One House

by Trevor Madziva, Tremaine Testaments ...

A Mathematical Blueprint for African Economic SovereigntyFor centuries, Africa's poverty has been diagnosed as a problem of corruption, conflict, or poor management. This book proves these are merely symptoms. The underdevelopment of Africa is not an accident it is the logical outcome of a global system mathematically engineered for value extraction.In this radical and rigorously researched work, ... Read more

$30.99 AUD or Free with Kobo Plus

A Mathematical Blueprint for African Economic SovereigntyFor centuries, Africa's poverty has been diagnosed as a problem of corruption, conflict, or poor management. This book proves these are merely symptoms. The underdevelopment of Africa is not an accident it is the logical outcome of a global system mathematically engineered for value extraction.In this radical and rigorously researched work,
... Read more

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