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Combinatorics: Ancient & Modern

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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 ... 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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Additive Combinatorics

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Séries Livros: 105 - Cambridge Studies in Advanced Mathematics
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de Eng Guan Tay, Khee-meng Koh ...

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

de Duane DeTemple, William Webb ...

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Introduction to Combinatorics

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Séries Livros: 79 - Wiley Series in Discrete Mathematics and Optimization
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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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Beginner's Further Guide To Mathematical Logic, A

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Combinatorial Reasoning

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de Duane DeTemple, William Webb ...

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Graphs, Algorithms, and Optimization

de William Kocay, Donald L. Kreher ...

Séries series Discrete Mathematics and Its Applications
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The second edition of this popular book presents the theory of graphs from an algorithmic viewpoint. The authors present the graph theory in a rigorous, but informal style and cover most of the main areas of graph theory. The ideas of surface topology are presented from an intuitive point of view. We have also included a discussion on linear programming that emphasizes problems in graph theory.
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Equivalents of the Riemann Hypothesis: Volume 2, Analytic Equivalents

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Séries Livros: 165 - Encyclopedia of Mathematics and its Applications
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The Riemann hypothesis (RH) is perhaps the most important outstanding problem in mathematics. This two-volume text presents the main known equivalents to RH using analytic and computational methods. The book is gentle on the reader with definitions repeated, proofs split into logical sections, and graphical descriptions of the relations between different results. It also includes extensive tables,
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Walk Through Combinatorics, A: An Introduction To Enumeration And Graph Theory (Fourth Edition)

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This is a textbook for an introductory combinatorics course lasting one or two semesters. An extensive list of problems, ranging from routine exercises to research questions, is included. In each section, there are also exercises that contain material not explicitly discussed in the preceding text, so as to provide instructors with extra choices if they want to shift the emphasis of their course
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Polygroup Theory And Related Systems

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This monograph is devoted to the study of Polygroup Theory. It begins with some basic results concerning group theory and algebraic hyperstructures, which represent the most general algebraic context, in which reality can be modeled. Most results on polygroups are collected in this book. Moreover, this monograph is the first book on this theory. The volume is highly recommended to theoreticians in
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Combinatorial Designs and their Applications

de Kathleen Quinn, Bridget Webb, Chris Rowley, F.C. Holroyd ...

Séries series Chapman & Hall/CRC Research Notes in Mathematics Series
The fruit of a conference that gathered seven very active researchers in the field, Combinatorial Design and their Applications presents a wide but representative range of topics on the non-geometrical aspects of design theory. By concentrating on a few important areas, the authors succeed in providing greater detail in these areas in a more complete and accessible form. Through their ... Leia mais

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The fruit of a conference that gathered seven very active researchers in the field, Combinatorial Design and their Applications presents a wide but representative range of topics on the non-geometrical aspects of design theory. By concentrating on a few important areas, the authors succeed in providing greater detail in these areas in a more complete and accessible form. Through their
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Concepts of Combinatorial Optimization

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Combinatorial optimization is a multidisciplinary scientific area, lying in the interface of three major scientific domains: mathematics, theoretical computer science and management. The three volumes of the Combinatorial Optimization series aim to cover a wide range of topics in this area. These topics also deal with fundamental notions and approaches as with several classical applications of
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Topics in Graph Theory

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From specialists in the field, you will learn about interesting connections and recent developments in the field of graph theory by looking in particular at Cartesian products-arguably the most important of the four standard graph products. Many new results in this area appear for the first time in print in this book. Written in an accessible way, ... Leia mais

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From specialists in the field, you will learn about interesting connections and recent developments in the field of graph theory by looking in particular at Cartesian products-arguably the most important of the four standard graph products. Many new results in this area appear for the first time in print in this book. Written in an accessible way,
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A List of Factorial Math Constants

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A List of Factorial Math Constants is a compact numerical reference gathering constants and tabulated values built from factorial expressions—factorials and related products, ratios, and series whose terms involve n!. Designed for quick consultation rather than narrative reading, it presents computed decimal values (often to many places) and organized tables useful for hand calculation, checking ... Leia mais

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A List of Factorial Math Constants is a compact numerical reference gathering constants and tabulated values built from factorial expressions—factorials and related products, ratios, and series whose terms involve n!. Designed for quick consultation rather than narrative reading, it presents computed decimal values (often to many places) and organized tables useful for hand calculation, checking
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Why do random draws produce streaks, repeats, clusters, and patterns that look anything but random? Can historical results reveal a real bias? Could artificial intelligence find a signal that ordinary statistics missed? And how can a lottery be exploited even when nobody can predict the winning numbers?Can Lotteries Be Predicted? examines lotteries as probability systems, physical machines, ... Leia mais

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Why do random draws produce streaks, repeats, clusters, and patterns that look anything but random? Can historical results reveal a real bias? Could artificial intelligence find a signal that ordinary statistics missed? And how can a lottery be exploited even when nobody can predict the winning numbers?Can Lotteries Be Predicted? examines lotteries as probability systems, physical machines,
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This book surveys the mathematical and computational properties of finite sets of points in the plane, covering recent breakthroughs on important problems in discrete geometry, and listing many open problems. It unifies these mathematical and computational views using forbidden configurations, which are patterns that cannot appear in sets with a given property, and explores the implications of ... Leia mais

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This book surveys the mathematical and computational properties of finite sets of points in the plane, covering recent breakthroughs on important problems in discrete geometry, and listing many open problems. It unifies these mathematical and computational views using forbidden configurations, which are patterns that cannot appear in sets with a given property, and explores the implications of
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Handbook of Finite Fields

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Séries series Discrete Mathematics and Its Applications
Poised to become the leading reference in the field, the Handbook of Finite Fields is exclusively devoted to the theory and applications of finite fields. More than 80 international contributors compile state-of-the-art research in this definitive handbook. Edited by two renowned researchers, the book uses a uniform style and format throughout and ... Leia mais

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Poised to become the leading reference in the field, the Handbook of Finite Fields is exclusively devoted to the theory and applications of finite fields. More than 80 international contributors compile state-of-the-art research in this definitive handbook. Edited by two renowned researchers, the book uses a uniform style and format throughout and
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Topics in Graph Theory

de Jonathan L Gross, Jay Yellen, Mark Anderson ...

Séries series Discrete Mathematics and Its Applications
The interplay continues to grow between graph theory and a wide variety of models and applications in mathematics, computer science, operations research, and the natural and social sciences.Topics in Graph Theory is geared toward the more mathematically mature student. The first three chapters provide the basic definitions and theorems of graph theory and the remaining chapters introduce a variety ... Leia mais

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The interplay continues to grow between graph theory and a wide variety of models and applications in mathematics, computer science, operations research, and the natural and social sciences.Topics in Graph Theory is geared toward the more mathematically mature student. The first three chapters provide the basic definitions and theorems of graph theory and the remaining chapters introduce a variety
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Combinatorics

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de Robin Wilson ...

Séries 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 ... Leia mais

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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
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eBooks sobre Combinatória

Combinatorics: Ancient & Modern

Additive Combinatorics

Counting (2nd Edition)

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

Agent-Based Modeling and Network Dynamics

Introduction to Combinatorics

Graph Theory As I Have Known It

Beginner's Further Guide To Mathematical Logic, A

New Directions of Modern Cryptography

Matematica: Successioni, Serie, Calcolo Combinatorio E Statistica Elementare

Combinatorial Reasoning

Graphs, Algorithms, and Optimization

Equivalents of the Riemann Hypothesis: Volume 2, Analytic Equivalents

Walk Through Combinatorics, A: An Introduction To Enumeration And Graph Theory (Fourth Edition)

Polygroup Theory And Related Systems

Combinatorial Designs and their Applications

Concepts of Combinatorial Optimization

Topics in Graph Theory

A List of Factorial Math Constants

Can Lotteries Be Predicted?: Randomness, Bias, Security, and What Players Can— and Cannot—Improve

Forbidden Configurations in Discrete Geometry

Handbook of Finite Fields

Topics in Graph Theory

Combinatorics