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Recommended For You

Mathematical Constants II

by Steven R. Finch ...

Series Book 169 - Encyclopedia of Mathematics and its Applications
Famous mathematical constants include the ratio of circular circumference to diameter, π = 3.14 …, and the natural logarithm base, e = 2.718 …. Students and professionals can often name a few others, but there are many more buried in the literature and awaiting discovery. How do such constants arise, and why are they important? Here the author renews the search he began in his book Mathematical ... Read more

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Famous mathematical constants include the ratio of circular circumference to diameter, π = 3.14 …, and the natural logarithm base, e = 2.718 …. Students and professionals can often name a few others, but there are many more buried in the literature and awaiting discovery. How do such constants arise, and why are they important? Here the author renews the search he began in his book Mathematical
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Combinatorial Extremization: In Mathematical Olympiad And Competitions

by Yuefeng Feng ...

Series Book 13 - Mathematical Olympiad Series
In China, lots of excellent students who are good at maths takes an active part in various maths contests and the best six senior high school students will be selected to form the IMO National Team to compete in the International Mathematical Olympiad. In the past ten years China's IMO Team has achieved outstanding results — they have won the first place almost every year.The author is one of the ... Read more

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In China, lots of excellent students who are good at maths takes an active part in various maths contests and the best six senior high school students will be selected to form the IMO National Team to compete in the International Mathematical Olympiad. In the past ten years China's IMO Team has achieved outstanding results — they have won the first place almost every year.The author is one of the
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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

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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,
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Introduction to Combinatorial Analysis

by John Riordan ...

Series series Dover Books on Mathematics
This introduction to combinatorial analysis defines the subject as "the number of ways there are of doing some well-defined operation." Chapter 1 surveys that part of the theory of permutations and combinations that finds a place in books on elementary algebra, which leads to the extended treatment of generation functions in Chapter 2, where an important result is the introduction of a set of ... Read more

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This introduction to combinatorial analysis defines the subject as "the number of ways there are of doing some well-defined operation." Chapter 1 surveys that part of the theory of permutations and combinations that finds a place in books on elementary algebra, which leads to the extended treatment of generation functions in Chapter 2, where an important result is the introduction of a set of
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Introduction to Network Security

by Douglas Jacobson ...

Series series Chapman & Hall/CRC Cryptography and Network Security Series
Unlike data communications of the past, today’s networks consist of numerous devices that handle the data as it passes from the sender to the receiver. However, security concerns are frequently raised in circumstances where interconnected computers use a network not controlled by any one entity or organization. Introduction to Network Security examines various network protocols, focusing on ... Read more

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Unlike data communications of the past, today’s networks consist of numerous devices that handle the data as it passes from the sender to the receiver. However, security concerns are frequently raised in circumstances where interconnected computers use a network not controlled by any one entity or organization. Introduction to Network Security examines various network protocols, focusing on
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Enumerative Combinatorics

by Charalambos A. Charalambides ...

Series series Discrete Mathematics and Its Applications
Enumerative Combinatorics presents elaborate and systematic coverage of the theory of enumeration. The first seven chapters provide the necessary background, including basic counting principles and techniques, elementary enumerative topics, and an extended presentation of generating functions and recurrence relations. The remaining seven chapters focus on more advanced topics, including, Stirling ... Read more

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Enumerative Combinatorics presents elaborate and systematic coverage of the theory of enumeration. The first seven chapters provide the necessary background, including basic counting principles and techniques, elementary enumerative topics, and an extended presentation of generating functions and recurrence relations. The remaining seven chapters focus on more advanced topics, including, Stirling
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Design Theory

by Charles C. Lindner, Christopher A. Rodger ...

Series series Discrete Mathematics and Its Applications
Design Theory, Second Edition presents some of the most important techniques used for constructing combinatorial designs. It augments the descriptions of the constructions with many figures to help students understand and enjoy this branch of mathematics.This edition now offers a thorough development of the embedding of Latin squares and combinatorial designs. It also presents some pure ... Read more

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Design Theory, Second Edition presents some of the most important techniques used for constructing combinatorial designs. It augments the descriptions of the constructions with many figures to help students understand and enjoy this branch of mathematics.This edition now offers a thorough development of the embedding of Latin squares and combinatorial designs. It also presents some pure
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Materials Informatics and Catalysts Informatics

An Introduction

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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Graphical Models

by Steffen L. Lauritzen ...

Series Book 41 - Oxford Statistical Science Series
The idea of modelling systems using graph theory has its origin in several scientific areas: in statistical physics (the study of large particle systems), in genetics (studying inheritable properties of natural species), and in interactions in contingency tables. This new and extended edition of Graphical Models provides the basic mathematical and statistical theory of graphical models, ... Read more

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The idea of modelling systems using graph theory has its origin in several scientific areas: in statistical physics (the study of large particle systems), in genetics (studying inheritable properties of natural species), and in interactions in contingency tables. This new and extended edition of Graphical Models provides the basic mathematical and statistical theory of graphical models,
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Discrete Mathematics

An Open Introduction

by Oscar Levin ...

Series series Discrete Mathematics and Its Applications
Discrete Mathematics: An Open Introduction, Fourth Edition aims to provide an introduction to select topics in discrete mathematics at a level appropriate for first or second year undergraduate math and computer science majors, especially those who intend to teach middle and high school mathematics. The book began as a set of notes for the Discrete Mathematics course at the University of Northern ... Read more

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Discrete Mathematics: An Open Introduction, Fourth Edition aims to provide an introduction to select topics in discrete mathematics at a level appropriate for first or second year undergraduate math and computer science majors, especially those who intend to teach middle and high school mathematics. The book began as a set of notes for the Discrete Mathematics course at the University of Northern
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Incidence Algebras

by Eugene Spiegel, Christopher O'Donnell ...

Series series Chapman & Hall/CRC Pure and Applied Mathematics
This work covers the maximal and prime ideals of the incidence algebra, derivations and isomorphisms, radicals and additional ring-theoretic properties. Combinatorial discussions include a study of the Mobius function, reduced incidence subalgebras, and the coalgebra approach to incidence algebras. ... Read more

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This work covers the maximal and prime ideals of the incidence algebra, derivations and isomorphisms, radicals and additional ring-theoretic properties. Combinatorial discussions include a study of the Mobius function, reduced incidence subalgebras, and the coalgebra approach to incidence algebras.
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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

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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
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A Beginner’s Guide to Mathematical Proof

by Mark J. DeBonis ...

A Beginner’s Guide to Mathematical Proof prepares mathematics majors for the transition to abstract mathematics, as well as introducing a wider readership of quantitative science students, such as engineers, to the mathematical structures underlying more applied topics.The text is designed to be easily utilized by both instructor and student, with an accessible, step-by-step approach requiring ... Read more

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A Beginner’s Guide to Mathematical Proof prepares mathematics majors for the transition to abstract mathematics, as well as introducing a wider readership of quantitative science students, such as engineers, to the mathematical structures underlying more applied topics.The text is designed to be easily utilized by both instructor and student, with an accessible, step-by-step approach requiring
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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

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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,
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Modern Computational Methods for Fractional Differential Equations

by Hossein Jafari, Haleh Tajadodi, Yusif S. Gasimov ...

Modern Computational Methods for Fractional Differential Equations provides a comprehensive introduction to the fundamentals of fractional calculus. Covering a range of analytical and numerical methods specifically designed for fractional calculus problems, the book explains the step-by-step implementation and computational aspects of these methods. Readers of this book should feel empowered to ... Read more

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Modern Computational Methods for Fractional Differential Equations provides a comprehensive introduction to the fundamentals of fractional calculus. Covering a range of analytical and numerical methods specifically designed for fractional calculus problems, the book explains the step-by-step implementation and computational aspects of these methods. Readers of this book should feel empowered to
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Group Theoretic Cryptography

by Rainer Steinwandt, Maria Isabel Gonzalez Vasco ...

Series series Chapman & Hall/CRC Cryptography and Network Security Series
Group theory appears to be a promising source of hard computational problems for deploying new cryptographic constructions. This reference focuses on the specifics of using groups, including in particular non-Abelian groups, in the field of cryptography. It provides an introduction to cryptography with emphasis on the group theoretic perspective, making it one of the first books to use this ... Read more

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Group theory appears to be a promising source of hard computational problems for deploying new cryptographic constructions. This reference focuses on the specifics of using groups, including in particular non-Abelian groups, in the field of cryptography. It provides an introduction to cryptography with emphasis on the group theoretic perspective, making it one of the first books to use this
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Basics of Ramsey Theory

by Veselin Jungić ...

Basics of Ramsey Theory serves as a gentle introduction to Ramsey theory for students interested in becoming familiar with a dynamic segment of contemporary mathematics that combines ideas from number theory and combinatorics. The core of the of the book consists of discussions and proofs of the results now universally known as Ramsey’s theorem, van der Waerden’s theorem, Schur’s theorem, Rado’s ... Read more

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Basics of Ramsey Theory serves as a gentle introduction to Ramsey theory for students interested in becoming familiar with a dynamic segment of contemporary mathematics that combines ideas from number theory and combinatorics. The core of the of the book consists of discussions and proofs of the results now universally known as Ramsey’s theorem, van der Waerden’s theorem, Schur’s theorem, Rado’s
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Mathematics in Games, Sports, and Gambling

The Games People Play, Second Edition

by Ronald J. Gould ...

Series series Textbooks in Mathematics
Mathematics in Games, Sports, and Gambling: The Games People Play, Second Edition demonstrates how discrete probability, statistics, and elementary discrete mathematics are used in games, sports, and gambling situations. With emphasis on mathematical thinking and problem solving, the text draws on numerous examples, questions, and problems to expla ... Read more

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Mathematics in Games, Sports, and Gambling: The Games People Play, Second Edition demonstrates how discrete probability, statistics, and elementary discrete mathematics are used in games, sports, and gambling situations. With emphasis on mathematical thinking and problem solving, the text draws on numerous examples, questions, and problems to expla
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Matematica: Successioni, Serie, Calcolo Combinatorio E Statistica Elementare

by Simone Malacrida ...

In questo libro sono presentati i presupposti teorici dei seguenti argomenti matematici:successioni numericheserie numerichecalcolo combinatoriostatistica elementareOgni argomento è trattato mettendo in risalto le applicazioni pratiche e risolvendo alcuni esercizi significativi. ... Read more

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In questo libro sono presentati i presupposti teorici dei seguenti argomenti matematici:successioni numericheserie numerichecalcolo combinatoriostatistica elementareOgni argomento è trattato mettendo in risalto le applicazioni pratiche e risolvendo alcuni esercizi significativi.
... Read more
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
... Read more
Vector Partitions, Visible Points and Ramanujan Functions

by Geoffrey B. Campbell ...

Vector Partitions, Visible Points and Ramanujan Functions offers a novel theory of Vector Partitions, though very much grounded in the long-established work of others, that could be developed as an extension to the existing theory of Integer Partitions. The book is suitable for graduate students in physics, applied mathematics, number theory and computational mathematics. It takes the reader up to ... Read more

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Vector Partitions, Visible Points and Ramanujan Functions offers a novel theory of Vector Partitions, though very much grounded in the long-established work of others, that could be developed as an extension to the existing theory of Integer Partitions. The book is suitable for graduate students in physics, applied mathematics, number theory and computational mathematics. It takes the reader up to
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Algebraic Curves in Cryptography

by San Ling, Huaxiong Wang, Chaoping Xing ...

Series series Discrete Mathematics and Its Applications
The reach of algebraic curves in cryptography goes far beyond elliptic curve or public key cryptography yet these other application areas have not been systematically covered in the literature. Addressing this gap, Algebraic Curves in Cryptography explores the rich uses of algebraic curves in a range of cryptographic applications, such as secret sh ... Read more

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The reach of algebraic curves in cryptography goes far beyond elliptic curve or public key cryptography yet these other application areas have not been systematically covered in the literature. Addressing this gap, Algebraic Curves in Cryptography explores the rich uses of algebraic curves in a range of cryptographic applications, such as secret sh
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The Star and the Whole

Gian-Carlo Rota on Mathematics and Phenomenology

by Fabrizio Palombi ...

The Star and the Whole: Gian-Carlo Rota on Mathematics and Phenomenology, authored by Fabrizio Palombi, is the first book to study Rota's philosophical reflection. Rota (1932-1999) was a leading figure in contemporary mathematics and an outstanding philosopher, inspired by phenomenology, who made fundamental contributions to combinatorial analysis, ... Read more

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The Star and the Whole: Gian-Carlo Rota on Mathematics and Phenomenology, authored by Fabrizio Palombi, is the first book to study Rota's philosophical reflection. Rota (1932-1999) was a leading figure in contemporary mathematics and an outstanding philosopher, inspired by phenomenology, who made fundamental contributions to combinatorial analysis,
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Wearing Gauss’s Jersey

by Dean Hathout ...

Wearing Gauss's Jersey focuses on "Gauss problems," problems that can be very tedious and time consuming when tackled in a traditional, straightforward way but if approached in a more insightful fashion, can yield the solution much more easily and elegantly. The book shows how mathematical problem solving can be fun and how students can improve the ... Read more

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Wearing Gauss's Jersey focuses on "Gauss problems," problems that can be very tedious and time consuming when tackled in a traditional, straightforward way but if approached in a more insightful fashion, can yield the solution much more easily and elegantly. The book shows how mathematical problem solving can be fun and how students can improve the
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Recommended For You

Combinatorics eBooks

Mathematical Constants II

Combinatorial Extremization: In Mathematical Olympiad And Competitions

United States of Africa : 54 Rooms, One House

Introduction to Combinatorial Analysis

Introduction to Network Security

Enumerative Combinatorics

Design Theory

Materials Informatics and Catalysts Informatics

Graphical Models

Discrete Mathematics

Incidence Algebras

Slicing The Truth: On The Computable And Reverse Mathematics Of Combinatorial Principles

A Beginner’s Guide to Mathematical Proof

Analysis of Boolean Functions

Modern Computational Methods for Fractional Differential Equations

Group Theoretic Cryptography

Basics of Ramsey Theory

Mathematics in Games, Sports, and Gambling

Matematica: Successioni, Serie, Calcolo Combinatorio E Statistica Elementare

An Invitation to the Rogers-Ramanujan Identities

Vector Partitions, Visible Points and Ramanujan Functions

Algebraic Curves in Cryptography

The Star and the Whole

Wearing Gauss’s Jersey