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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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Matematica: Successioni, Serie, Calcolo Combinatorio E Statistica Elementare

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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 ...

Written 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 applications, the book develops a variety of effective approaches to solving counting problems.Balancing abstract ideas with specific topical ... Leia mais

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

de Duane DeTemple, William Webb ...

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Counting (2nd Edition)

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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 ... Leia mais

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Additive Combinatorics

de Terence Tao, Van H. Vu ...

Séries Livros: 105 - Cambridge Studies in Advanced Mathematics
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Beginner's Further Guide To Mathematical Logic, A

de Raymond M Smullyan ...

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Introduction to Combinatorics

de Martin J. Erickson ...

Séries Livros: 79 - Wiley Series in Discrete Mathematics and Optimization
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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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Séries Livros: 13 - Mathematical Olympiad Series
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de Trevor Madziva, Tremaine Testaments ...

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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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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

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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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Materials Informatics and Catalysts Informatics

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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

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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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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Incidence Algebras

de Eugene Spiegel, Christopher O'Donnell ...

Séries 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. ... Leia mais

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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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Bridges combinatorics and probability and uniquely includes detailed formulas and proofs to promote mathematical thinkingCombinatorics: An Introduction introduces readers to counting combinatorics, offers examples that feature unique approaches and ideas, and presents case-by-case methods for solving problems.Detailing how combinatorial problems arise in many areas of pure mathematics, most
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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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Combinatorial Reasoning

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

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