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Combinatorics: Ancient & Modern

Editado por Robin Wilson, John J. Watkins ...

Who first presented Pascal's triangle? (It was not Pascal.) Who first presented Hamiltonian graphs? (It was not Hamilton.) Who first presented Steiner triple systems? (It was not Steiner.) The history of mathematics is a well-studied and vibrant area of research, with books and scholarly articles published on various aspects of the subject. Yet, the history of combinatorics seems to have been ... Leia mais

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Who first presented Pascal's triangle? (It was not Pascal.) Who first presented Hamiltonian graphs? (It was not Hamilton.) Who first presented Steiner triple systems? (It was not Steiner.) The history of mathematics is a well-studied and vibrant area of research, with books and scholarly articles published on various aspects of the subject. Yet, the history of combinatorics seems to have been
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New Directions of Modern Cryptography

de 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 ... Leia mais

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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
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Solutions Manual to accompany Combinatorial Reasoning: An Introduction to the Art of Counting

de Duane DeTemple, William Webb ...

COMBINATORIAL REASONINGShowcases the interdisciplinary aspects of combinatorics and illustrates how to problem solve with a multitude of exercisesWritten by two well-known scholars in the field, Combinatorial Reasoning: An Introduction to the Art of Counting presents a clear and comprehensive introduction to the concepts and methodology of beginning combinatorics. Focusing on modern techniques and ... Leia mais

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Matematica: Successioni, Serie, Calcolo Combinatorio E Statistica Elementare

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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. ... Leia mais

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Additive Combinatorics

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Séries Livros: 105 - Cambridge Studies in Advanced Mathematics
Additive combinatorics is the theory of counting additive structures in sets. This theory has seen exciting developments and dramatic changes in direction in recent years thanks to its connections with areas such as number theory, ergodic theory and graph theory. This graduate-level 2006 text will allow students and researchers easy entry into this fascinating field. Here, the authors bring ... Leia mais

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Additive combinatorics is the theory of counting additive structures in sets. This theory has seen exciting developments and dramatic changes in direction in recent years thanks to its connections with areas such as number theory, ergodic theory and graph theory. This graduate-level 2006 text will allow students and researchers easy entry into this fascinating field. Here, the authors bring
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Beginner's Further Guide To Mathematical Logic, A

de Raymond M Smullyan ...

'A wealth of examples to which solutions are given permeate the text so the reader will certainly be active.'The Mathematical GazetteThis is the final book written by the late great puzzle master and logician, Dr. Raymond Smullyan.This book is a sequel to my Beginner's Guide to Mathematical Logic.The previous volume deals with elements of propositional and first-order logic, contains a bit on ... Leia mais

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Agent-Based Modeling and Network Dynamics

de Akira Namatame, Shu-Heng Chen ...

While the significance of networks in various human behavior and activities has a history as long as human's existence, network awareness is a recent scientific phenomenon. The neologism network science is just one or two decades old. Nevertheless, with this limited time, network thinking has substantially reshaped the recent development in economics, and almost all solutions to real-world ... Leia mais

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Graph Theory As I Have Known It

de W. T. Tutte ...

Séries Livros: 11 - Oxford Lecture Series in Mathematics and Its Applications
This book provides a unique and unusual introduction to graph theory by one of the founding fathers, and will be of interest to all researchers in the subject. It is not intended as a comprehensive treatise, but rather as an account of those parts of the theory that have been of special interest to the author. Professor Tutte details his experience in the area, and provides a fascinating insight ... Leia mais

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Combinatorial Reasoning

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de Duane DeTemple, William Webb ...

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Introduction to Combinatorics

de Martin J. Erickson ...

Séries Livros: 79 - Wiley Series in Discrete Mathematics and Optimization
Praise for the First Edition“This excellent text should prove a useful accoutrement for any developing mathematics program . . . it’s short, it’s sweet, it’s beautifully written.” —The Mathematical Intelligencer“Erickson has prepared an exemplary work . . . strongly recommended for inclusion in undergraduate-level library collections.” —ChoiceFeaturing a modern approach, Introduction to ... Leia mais

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Counting (2nd Edition)

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

This book in its Second Edition is a useful, attractive introduction to basic counting techniques for upper secondary to undergraduate 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 ... Leia mais

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This book in its Second Edition is a useful, attractive introduction to basic counting techniques for upper secondary to undergraduate 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
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Mathematical Constants II

de Steven R. Finch ...

Séries Livros: 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 ... Leia mais

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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

de Yuefeng Feng ...

Séries Livros: 13 - Mathematical Olympiad Series
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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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Combinatorial and Algorithmic Mathematics

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de Baha Alzalg ...

Detailed review of optimization from first principles, supported by rigorous math and computer science explanations and various learning aidsSupported by rigorous math and computer science foundations, Combinatorial and Algorithmic Mathematics: From Foundation to Optimization provides a from-scratch understanding to the field of optimization, discussing 70 algorithms with roughly 220 illustrative ... Leia mais

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Detailed review of optimization from first principles, supported by rigorous math and computer science explanations and various learning aidsSupported by rigorous math and computer science foundations, Combinatorial and Algorithmic Mathematics: From Foundation to Optimization provides a from-scratch understanding to the field of optimization, discussing 70 algorithms with roughly 220 illustrative
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United States of Africa : 54 Rooms, One House

de Trevor Madziva, Tremaine Testaments ...

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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

de John Riordan ...

Séries 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 ... Leia mais

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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

de Douglas Jacobson ...

Séries series Chapman & Hall/CRC Cryptography and Network Security Series
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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

de Charalambos A. Charalambides ...

Séries 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 ... Leia mais

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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

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

Séries 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 ... Leia mais

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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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Graphical Models

de Steffen L. Lauritzen ...

Séries Livros: 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, ... Leia mais

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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

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de Oscar Levin ...

Séries 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 ... Leia mais

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

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

Séries Livros: 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 ... Leia mais

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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

de 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 ... Leia mais

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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

de 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, ... Leia mais

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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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eBooks sobre Combinatória

Combinatorics: Ancient & Modern

New Directions of Modern Cryptography

Solutions Manual to accompany Combinatorial Reasoning: An Introduction to the Art of Counting

Matematica: Successioni, Serie, Calcolo Combinatorio E Statistica Elementare

Additive Combinatorics

Beginner's Further Guide To Mathematical Logic, A

Agent-Based Modeling and Network Dynamics

Graph Theory As I Have Known It

Combinatorial Reasoning

Introduction to Combinatorics

Counting (2nd Edition)

Mathematical Constants II

Combinatorial Extremization: In Mathematical Olympiad And Competitions

Combinatorial and Algorithmic Mathematics

United States of Africa : 54 Rooms, One House

Introduction to Combinatorial Analysis

Introduction to Network Security

Enumerative Combinatorics

Design Theory

Graphical Models

Discrete Mathematics

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

A Beginner’s Guide to Mathematical Proof

Analysis of Boolean Functions