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Discrete And Combinatorial Mathematics

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Handbook of Discrete and Combinatorial Mathematics

Handbook of Discrete and Combinatorial Mathematics [Pdf/ePub] eBook Author: Kenneth H. Rosen
Editor: CRC Press
ISBN-10: 1584887818
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Handbook of Discrete and Combinatorial Mathematics by Kenneth H. Rosen Book Summary:

Handbook of Discrete and Combinatorial Mathematics provides a comprehensive reference volume for mathematicians, computer scientists, engineers, as well as students and reference librarians. The material is presented so that key information can be located and used quickly and easily. Each chapter includes a glossary. Individual topics are covered in sections and subsections within chapters, each of which is organized into clearly identifiable parts: definitions, facts, and examples. Examples are provided to illustrate some of the key definitions, facts, and algorithms. Some curious and entertaining facts and puzzles are also included. Readers will also find an extensive collection of biographies. This second edition is a major revision. It includes extensive additions and updates. Since the first edition appeared in 1999, many new discoveries have been made and new areas have grown in importance, which are covered in this edition.

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Introduction to Combinatorics

Introduction to Combinatorics [Pdf/ePub] eBook Author: Walter D. Wallis,John C. George
Editor: CRC Press
ISBN-10: 1498777635
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Introduction to Combinatorics by Walter D. Wallis,John C. George Book Summary:

What Is Combinatorics Anyway? Broadly speaking, combinatorics is the branch of mathematics dealing with different ways of selecting objects from a set or arranging objects. It tries to answer two major kinds of questions, namely, counting questions: how many ways can a selection or arrangement be chosen with a particular set of properties; and structural questions: does there exist a selection or arrangement of objects with a particular set of properties? The authors have presented a text for students at all levels of preparation. For some, this will be the first course where the students see several real proofs. Others will have a good background in linear algebra, will have completed the calculus stream, and will have started abstract algebra. The text starts by briefly discussing several examples of typical combinatorial problems to give the reader a better idea of what the subject covers. The next chapters explore enumerative ideas and also probability. It then moves on to enumerative functions and the relations between them, and generating functions and recurrences., Important families of functions, or numbers and then theorems are presented. Brief introductions to computer algebra and group theory come next. Structures of particular interest in combinatorics: posets, graphs, codes, Latin squares, and experimental designs follow. The authors conclude with further discussion of the interaction between linear algebra and combinatorics. Features Two new chapters on probability and posets. Numerous new illustrations, exercises, and problems. More examples on current technology use A thorough focus on accuracy Three appendices: sets, induction and proof techniques, vectors and matrices, and biographies with historical notes, Flexible use of MapleTM and MathematicaTM

Download or read Introduction to Combinatorics book by clicking button below to visit the book download website. There are multiple format available for you to choose (Pdf, ePub, Doc). What Is Combinatorics Anyway? Broadly speaking, combinatorics is the branch of mathematics dealing with different ways of selecting objects from a set or arranging objects. It tries to answer two major kinds of questions, namely, counting questions: how many ways can a selection or arrangement be chosen with a particular set of properties; and structural questions: does there exist a selection or arrangement of objects with a particular set of properties? The authors have presented a text for students at all levels of preparation. For some, this will be the first course where the students see several real proofs. Others will have a good background in linear algebra, will have completed the calculus stream, and will have started abstract algebra. The text starts by briefly discussing several examples of typical combinatorial problems to give the reader a better idea of what the subject covers. The next chapters explore enumerative ideas and also probability. It then moves on to enumerative functions and the relations between them, and generating functions and recurrences., Important families of functions, or numbers and then theorems are presented. Brief introductions to computer algebra and group theory come next. Structures of particular interest in combinatorics: posets, graphs, codes, Latin squares, and experimental designs follow. The authors conclude with further discussion of the interaction between linear algebra and combinatorics. Features Two new chapters on probability and posets. Numerous new illustrations, exercises, and problems. More examples on current technology use A thorough focus on accuracy Three appendices: sets, induction and proof techniques, vectors and matrices, and biographies with historical notes, Flexible use of MapleTM and MathematicaTM


Combinatorics of Permutations

Combinatorics of Permutations [Pdf/ePub] eBook Author: Miklos Bona
Editor: CRC Press
ISBN-10: 1439850526
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Combinatorics of Permutations by Miklos Bona Book Summary:

A Unified Account of Permutations in Modern CombinatoricsA 2006 CHOICE Outstanding Academic Title, the first edition of this bestseller was lauded for its detailed yet engaging treatment of permutations. Providing more than enough material for a one-semester course, Combinatorics of Permutations, Second Edition continues to clearly show the usefuln

Download or read Combinatorics of Permutations book by clicking button below to visit the book download website. There are multiple format available for you to choose (Pdf, ePub, Doc). A Unified Account of Permutations in Modern CombinatoricsA 2006 CHOICE Outstanding Academic Title, the first edition of this bestseller was lauded for its detailed yet engaging treatment of permutations. Providing more than enough material for a one-semester course, Combinatorics of Permutations, Second Edition continues to clearly show the usefuln


Combinatorial Methods with Computer Applications

Combinatorial Methods with Computer Applications [Pdf/ePub] eBook Author: Jonathan L. Gross
Editor: CRC Press
ISBN-10: 1584887443
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Combinatorial Methods with Computer Applications by Jonathan L. Gross Book Summary:

Combinatorial Methods with Computer Applications provides in-depth coverage of recurrences, generating functions, partitions, and permutations, along with some of the most interesting graph and network topics, design constructions, and finite geometries. Requiring only a foundation in discrete mathematics, it can serve as the textbook in a combinat

Download or read Combinatorial Methods with Computer Applications book by clicking button below to visit the book download website. There are multiple format available for you to choose (Pdf, ePub, Doc). Combinatorial Methods with Computer Applications provides in-depth coverage of recurrences, generating functions, partitions, and permutations, along with some of the most interesting graph and network topics, design constructions, and finite geometries. Requiring only a foundation in discrete mathematics, it can serve as the textbook in a combinat


A Combinatorial Approach to Matrix Theory and Its Applications

A Combinatorial Approach to Matrix Theory and Its Applications [Pdf/ePub] eBook Author: Richard A. Brualdi,Dragos Cvetkovic
Editor: CRC Press
ISBN-10: 9781420082241
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A Combinatorial Approach to Matrix Theory and Its Applications by Richard A. Brualdi,Dragos Cvetkovic Book Summary:

Unlike most elementary books on matrices, A Combinatorial Approach to Matrix Theory and Its Applications employs combinatorial and graph-theoretical tools to develop basic theorems of matrix theory, shedding new light on the subject by exploring the connections of these tools to matrices. After reviewing the basics of graph theory, elementary counting formulas, fields, and vector spaces, the book explains the algebra of matrices and uses the König digraph to carry out simple matrix operations. It then discusses matrix powers, provides a graph-theoretical definition of the determinant using the Coates digraph of a matrix, and presents a graph-theoretical interpretation of matrix inverses. The authors develop the elementary theory of solutions of systems of linear equations and show how to use the Coates digraph to solve a linear system. They also explore the eigenvalues, eigenvectors, and characteristic polynomial of a matrix; examine the important properties of nonnegative matrices that are part of the Perron–Frobenius theory; and study eigenvalue inclusion regions and sign-nonsingular matrices. The final chapter presents applications to electrical engineering, physics, and chemistry. Using combinatorial and graph-theoretical tools, this book enables a solid understanding of the fundamentals of matrix theory and its application to scientific areas.

Download or read A Combinatorial Approach to Matrix Theory and Its Applications book by clicking button below to visit the book download website. There are multiple format available for you to choose (Pdf, ePub, Doc). Unlike most elementary books on matrices, A Combinatorial Approach to Matrix Theory and Its Applications employs combinatorial and graph-theoretical tools to develop basic theorems of matrix theory, shedding new light on the subject by exploring the connections of these tools to matrices. After reviewing the basics of graph theory, elementary counting formulas, fields, and vector spaces, the book explains the algebra of matrices and uses the König digraph to carry out simple matrix operations. It then discusses matrix powers, provides a graph-theoretical definition of the determinant using the Coates digraph of a matrix, and presents a graph-theoretical interpretation of matrix inverses. The authors develop the elementary theory of solutions of systems of linear equations and show how to use the Coates digraph to solve a linear system. They also explore the eigenvalues, eigenvectors, and characteristic polynomial of a matrix; examine the important properties of nonnegative matrices that are part of the Perron–Frobenius theory; and study eigenvalue inclusion regions and sign-nonsingular matrices. The final chapter presents applications to electrical engineering, physics, and chemistry. Using combinatorial and graph-theoretical tools, this book enables a solid understanding of the fundamentals of matrix theory and its application to scientific areas.


Introductory Discrete Mathematics

Introductory Discrete Mathematics [Pdf/ePub] eBook Author: V. K . Balakrishnan
Editor: Courier Corporation
ISBN-10: 0486140385
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Introductory Discrete Mathematics by V. K . Balakrishnan Book Summary:

This concise, undergraduate-level text focuses on combinatorics, graph theory with applications to some standard network optimization problems, and algorithms. More than 200 exercises, many with complete solutions. 1991 edition.

Download or read Introductory Discrete Mathematics book by clicking button below to visit the book download website. There are multiple format available for you to choose (Pdf, ePub, Doc). This concise, undergraduate-level text focuses on combinatorics, graph theory with applications to some standard network optimization problems, and algorithms. More than 200 exercises, many with complete solutions. 1991 edition.


Handbook of Combinatorial Designs

Handbook of Combinatorial Designs [Pdf/ePub] eBook Author: Charles J. Colbourn,Jeffrey H. Dinitz
Editor: CRC Press
ISBN-10: 9781439832349
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Handbook of Combinatorial Designs by Charles J. Colbourn,Jeffrey H. Dinitz Book Summary:

Continuing in the bestselling, informative tradition of the first edition, the Handbook of Combinatorial Designs, Second Edition remains the only resource to contain all of the most important results and tables in the field of combinatorial design. This handbook covers the constructions, properties, and applications of designs as well as existence

Download or read Handbook of Combinatorial Designs book by clicking button below to visit the book download website. There are multiple format available for you to choose (Pdf, ePub, Doc). Continuing in the bestselling, informative tradition of the first edition, the Handbook of Combinatorial Designs, Second Edition remains the only resource to contain all of the most important results and tables in the field of combinatorial design. This handbook covers the constructions, properties, and applications of designs as well as existence


Discrete Mathematics

Discrete Mathematics [Pdf/ePub] eBook Author: László Lovász,József Pelikán,Katalin Vesztergombi
Editor: Springer Science & Business Media
ISBN-10: 0387217770
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Discrete Mathematics by László Lovász,József Pelikán,Katalin Vesztergombi Book Summary:

Aimed at undergraduate mathematics and computer science students, this book is an excellent introduction to a lot of problems of discrete mathematics. It discusses a number of selected results and methods, mostly from areas of combinatorics and graph theory, and it uses proofs and problem solving to help students understand the solutions to problems. Numerous examples, figures, and exercises are spread throughout the book.

Download or read Discrete Mathematics book by clicking button below to visit the book download website. There are multiple format available for you to choose (Pdf, ePub, Doc). Aimed at undergraduate mathematics and computer science students, this book is an excellent introduction to a lot of problems of discrete mathematics. It discusses a number of selected results and methods, mostly from areas of combinatorics and graph theory, and it uses proofs and problem solving to help students understand the solutions to problems. Numerous examples, figures, and exercises are spread throughout the book.


Discrete Mathematics with Applications

Discrete Mathematics with Applications [Pdf/ePub] eBook Author: Thomas Koshy
Editor: Elsevier
ISBN-10: 9780080477343
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Discrete Mathematics with Applications by Thomas Koshy Book Summary:

This approachable text studies discrete objects and the relationsips that bind them. It helps students understand and apply the power of discrete math to digital computer systems and other modern applications. It provides excellent preparation for courses in linear algebra, number theory, and modern/abstract algebra and for computer science courses in data structures, algorithms, programming languages, compilers, databases, and computation. * Covers all recommended topics in a self-contained, comprehensive, and understandable format for students and new professionals * Emphasizes problem-solving techniques, pattern recognition, conjecturing, induction, applications of varying nature, proof techniques, algorithm development and correctness, and numeric computations * Weaves numerous applications into the text * Helps students learn by doing with a wealth of examples and exercises: - 560 examples worked out in detail - More than 3,700 exercises - More than 150 computer assignments - More than 600 writing projects * Includes chapter summaries of important vocabulary, formulas, and properties, plus the chapter review exercises * Features interesting anecdotes and biographies of 60 mathematicians and computer scientists * Instructor's Manual available for adopters * Student Solutions Manual available separately for purchase (ISBN: 0124211828)

Download or read Discrete Mathematics with Applications book by clicking button below to visit the book download website. There are multiple format available for you to choose (Pdf, ePub, Doc). This approachable text studies discrete objects and the relationsips that bind them. It helps students understand and apply the power of discrete math to digital computer systems and other modern applications. It provides excellent preparation for courses in linear algebra, number theory, and modern/abstract algebra and for computer science courses in data structures, algorithms, programming languages, compilers, databases, and computation. * Covers all recommended topics in a self-contained, comprehensive, and understandable format for students and new professionals * Emphasizes problem-solving techniques, pattern recognition, conjecturing, induction, applications of varying nature, proof techniques, algorithm development and correctness, and numeric computations * Weaves numerous applications into the text * Helps students learn by doing with a wealth of examples and exercises: - 560 examples worked out in detail - More than 3,700 exercises - More than 150 computer assignments - More than 600 writing projects * Includes chapter summaries of important vocabulary, formulas, and properties, plus the chapter review exercises * Features interesting anecdotes and biographies of 60 mathematicians and computer scientists * Instructor's Manual available for adopters * Student Solutions Manual available separately for purchase (ISBN: 0124211828)


Discrete Mathematics

Discrete Mathematics [Pdf/ePub] eBook Author: Amanda Chetwynd,Peter Diggle
Editor: Elsevier
ISBN-10: 0080928609
Size: 681 kb
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Discrete Mathematics by Amanda Chetwynd,Peter Diggle Book Summary:

As an introduction to discrete mathematics, this text provides a straightforward overview of the range of mathematical techniques available to students. Assuming very little prior knowledge, and with the minimum of technical complication, it gives an account of the foundations of modern mathematics: logic; sets; relations and functions. It then develops these ideas in the context of three particular topics: combinatorics (the mathematics of counting); probability (the mathematics of chance) and graph theory (the mathematics of connections in networks). Worked examples and graded exercises are used throughout to develop ideas and concepts. The format of this book is such that it can be easily used as the basis for a complete modular course in discrete mathematics.

Download or read Discrete Mathematics book by clicking button below to visit the book download website. There are multiple format available for you to choose (Pdf, ePub, Doc). As an introduction to discrete mathematics, this text provides a straightforward overview of the range of mathematical techniques available to students. Assuming very little prior knowledge, and with the minimum of technical complication, it gives an account of the foundations of modern mathematics: logic; sets; relations and functions. It then develops these ideas in the context of three particular topics: combinatorics (the mathematics of counting); probability (the mathematics of chance) and graph theory (the mathematics of connections in networks). Worked examples and graded exercises are used throughout to develop ideas and concepts. The format of this book is such that it can be easily used as the basis for a complete modular course in discrete mathematics.


Linear and Combinatorial Optimization in Ordered Algebraic Structures

Linear and Combinatorial Optimization in Ordered Algebraic Structures [Pdf/ePub] eBook Author: N.A
Editor: Elsevier
ISBN-10: 9780080867731
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Linear and Combinatorial Optimization in Ordered Algebraic Structures by N.A Book Summary:

Linear and Combinatorial Optimization in Ordered Algebraic Structures

Download or read Linear and Combinatorial Optimization in Ordered Algebraic Structures book by clicking button below to visit the book download website. There are multiple format available for you to choose (Pdf, ePub, Doc). Linear and Combinatorial Optimization in Ordered Algebraic Structures


Handbook of Discrete and Computational Geometry

Handbook of Discrete and Computational Geometry [Pdf/ePub] eBook Author: Csaba D. Toth,Joseph O'Rourke,Jacob E. Goodman
Editor: CRC Press
ISBN-10: 1498711421
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Handbook of Discrete and Computational Geometry by Csaba D. Toth,Joseph O'Rourke,Jacob E. Goodman Book Summary:

The Handbook of Discrete and Computational Geometry is intended as a reference book fully accessible to nonspecialists as well as specialists, covering all major aspects of both fields. The book offers the most important results and methods in discrete and computational geometry to those who use them in their work, both in the academic world—as researchers in mathematics and computer science—and in the professional world—as practitioners in fields as diverse as operations research, molecular biology, and robotics. Discrete geometry has contributed significantly to the growth of discrete mathematics in recent years. This has been fueled partly by the advent of powerful computers and by the recent explosion of activity in the relatively young field of computational geometry. This synthesis between discrete and computational geometry lies at the heart of this Handbook. A growing list of application fields includes combinatorial optimization, computer-aided design, computer graphics, crystallography, data analysis, error-correcting codes, geographic information systems, motion planning, operations research, pattern recognition, robotics, solid modeling, and tomography.

Download or read Handbook of Discrete and Computational Geometry book by clicking button below to visit the book download website. There are multiple format available for you to choose (Pdf, ePub, Doc). The Handbook of Discrete and Computational Geometry is intended as a reference book fully accessible to nonspecialists as well as specialists, covering all major aspects of both fields. The book offers the most important results and methods in discrete and computational geometry to those who use them in their work, both in the academic world—as researchers in mathematics and computer science—and in the professional world—as practitioners in fields as diverse as operations research, molecular biology, and robotics. Discrete geometry has contributed significantly to the growth of discrete mathematics in recent years. This has been fueled partly by the advent of powerful computers and by the recent explosion of activity in the relatively young field of computational geometry. This synthesis between discrete and computational geometry lies at the heart of this Handbook. A growing list of application fields includes combinatorial optimization, computer-aided design, computer graphics, crystallography, data analysis, error-correcting codes, geographic information systems, motion planning, operations research, pattern recognition, robotics, solid modeling, and tomography.


A Beginner’s Guide to Finite Mathematics

A Beginner’s Guide to Finite Mathematics [Pdf/ePub] eBook Author: W.D. Wallis
Editor: Springer Science & Business Media
ISBN-10: 1475738145
Size: 661 kb
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A Beginner’s Guide to Finite Mathematics by W.D. Wallis Book Summary:

This concisely written text in finite mathematics gives a sequential, distinctly applied presentation of topics, employing a pedagogical approach that is ideal for freshmen and sophomores in business, the social sciences, and the liberal arts. The work opens with a brief review of sets and numbers, followed by an introduction to data sets, counting arguments, and the Binomial Theorem, which sets the foundation for elementary probability theory and some basic statistics. Further chapters treat graph theory as it relates to modelling, matrices and vectors, and linear programming. Requiring only two years of high school algebra, this book's many examples and illuminating problem sets - with selected solutions - will appeal to a wide audience of students and teachers.

Download or read A Beginner’s Guide to Finite Mathematics book by clicking button below to visit the book download website. There are multiple format available for you to choose (Pdf, ePub, Doc). This concisely written text in finite mathematics gives a sequential, distinctly applied presentation of topics, employing a pedagogical approach that is ideal for freshmen and sophomores in business, the social sciences, and the liberal arts. The work opens with a brief review of sets and numbers, followed by an introduction to data sets, counting arguments, and the Binomial Theorem, which sets the foundation for elementary probability theory and some basic statistics. Further chapters treat graph theory as it relates to modelling, matrices and vectors, and linear programming. Requiring only two years of high school algebra, this book's many examples and illuminating problem sets - with selected solutions - will appeal to a wide audience of students and teachers.


Handbook of Mathematical Induction

Handbook of Mathematical Induction [Pdf/ePub] eBook Author: David S. Gunderson
Editor: CRC Press
ISBN-10: 1420093657
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Handbook of Mathematical Induction by David S. Gunderson Book Summary:

Handbook of Mathematical Induction: Theory and Applications shows how to find and write proofs via mathematical induction. This comprehensive book covers the theory, the structure of the written proof, all standard exercises, and hundreds of application examples from nearly every area of mathematics.In the first part of the book, the author discuss

Download or read Handbook of Mathematical Induction book by clicking button below to visit the book download website. There are multiple format available for you to choose (Pdf, ePub, Doc). Handbook of Mathematical Induction: Theory and Applications shows how to find and write proofs via mathematical induction. This comprehensive book covers the theory, the structure of the written proof, all standard exercises, and hundreds of application examples from nearly every area of mathematics.In the first part of the book, the author discuss


Combinatorial Mathematics, Optimal Designs, and Their Applications

Combinatorial Mathematics, Optimal Designs, and Their Applications [Pdf/ePub] eBook Author: N.A
Editor: Elsevier
ISBN-10: 9780080867694
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Combinatorial Mathematics, Optimal Designs, and Their Applications by N.A Book Summary:

Combinatorial Mathematics, Optimal Designs, and Their Applications

Download or read Combinatorial Mathematics, Optimal Designs, and Their Applications book by clicking button below to visit the book download website. There are multiple format available for you to choose (Pdf, ePub, Doc). Combinatorial Mathematics, Optimal Designs, and Their Applications


Basic Discrete Mathematics

Basic Discrete Mathematics [Pdf/ePub] eBook Author: Richard Kohar
Editor: World Scientific Publishing Company
ISBN-10: 9814730416
Size: 978 kb
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Basic Discrete Mathematics by Richard Kohar Book Summary:

This lively introductory text exposes the student in the humanities to the world of discrete mathematics. A problem-solving based approach grounded in the ideas of George Pólya are at the heart of this book. Students learn to handle and solve new problems on their own. A straightforward, clear writing style and well-crafted examples with diagrams invite the students to develop into precise and critical thinkers. Particular attention has been given to the material that some students find challenging, such as proofs. This book illustrates how to spot invalid arguments, to enumerate possibilities, and to construct probabilities. It also presents case studies to students about the possible detrimental effects of ignoring these basic principles. The book is invaluable for a discrete and finite mathematics course at the freshman undergraduate level or for self-study since there are full solutions to the exercises in an appendix. "Written with clarity, humor and relevant real-world examples, Basic Discrete Mathematics is a wonderful introduction to discrete mathematical reasoning."- Arthur Benjamin, Professor of Mathematics at Harvey Mudd College, and author of The Magic of Math

Download or read Basic Discrete Mathematics book by clicking button below to visit the book download website. There are multiple format available for you to choose (Pdf, ePub, Doc). This lively introductory text exposes the student in the humanities to the world of discrete mathematics. A problem-solving based approach grounded in the ideas of George Pólya are at the heart of this book. Students learn to handle and solve new problems on their own. A straightforward, clear writing style and well-crafted examples with diagrams invite the students to develop into precise and critical thinkers. Particular attention has been given to the material that some students find challenging, such as proofs. This book illustrates how to spot invalid arguments, to enumerate possibilities, and to construct probabilities. It also presents case studies to students about the possible detrimental effects of ignoring these basic principles. The book is invaluable for a discrete and finite mathematics course at the freshman undergraduate level or for self-study since there are full solutions to the exercises in an appendix. "Written with clarity, humor and relevant real-world examples, Basic Discrete Mathematics is a wonderful introduction to discrete mathematical reasoning."- Arthur Benjamin, Professor of Mathematics at Harvey Mudd College, and author of The Magic of Math


Introduction to Combinatorics

Introduction to Combinatorics [Pdf/ePub] eBook Author: Martin J. Erickson
Editor: John Wiley & Sons
ISBN-10: 1118637585
Size: 1990 kb
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Introduction to Combinatorics by Martin J. Erickson Book Summary:

Praise for the First Edition “This excellent text should prove a useful accoutrementfor any developing mathematics program . . . it’s short,it’s sweet, it’s beautifully written.”—The Mathematical Intelligencer “Erickson has prepared an exemplary work . . . stronglyrecommended for inclusion in undergraduate-level librarycollections.” —Choice Featuring a modern approach, Introduction to Combinatorics,Second Edition illustrates the applicability of combinatorialmethods and discusses topics that are not typically addressed inliterature, such as Alcuin’s sequence, Rook paths, andLeech’s lattice. The book also presents fundamentalresults, discusses interconnection and problem-solving techniques,and collects and disseminates open problems that raise questionsand observations. Many important combinatorial methods are revisited and repeatedseveral times throughout the book in exercises, examples, theorems,and proofs alike, allowing readers to build confidence andreinforce their understanding of complex material. In addition, theauthor successfully guides readers step-by-step through three majorachievements of combinatorics: Van der Waerden’s theorem onarithmetic progressions, Pólya’s graph enumerationformula, and Leech’s 24-dimensional lattice. Along withupdated tables and references that reflect recent advances invarious areas, such as error-correcting codes and combinatorialdesigns, the Second Edition also features: Many new exercises to help readers understand and applycombinatorial techniques and ideas A deeper, investigative study of combinatorics throughexercises requiring the use of computer programs Over fifty new examples, ranging in level from routine toadvanced, that illustrate important combinatorial concepts Basic principles and theories in combinatorics as well as newand innovative results in the field Introduction to Combinatorics, Second Edition is an idealtextbook for a one- or two-semester sequence in combinatorics,graph theory, and discrete mathematics at the upper-undergraduatelevel. The book is also an excellent reference for anyoneinterested in the various applications of elementarycombinatorics.

Download or read Introduction to Combinatorics book by clicking button below to visit the book download website. There are multiple format available for you to choose (Pdf, ePub, Doc). Praise for the First Edition “This excellent text should prove a useful accoutrementfor any developing mathematics program . . . it’s short,it’s sweet, it’s beautifully written.”—The Mathematical Intelligencer “Erickson has prepared an exemplary work . . . stronglyrecommended for inclusion in undergraduate-level librarycollections.” —Choice Featuring a modern approach, Introduction to Combinatorics,Second Edition illustrates the applicability of combinatorialmethods and discusses topics that are not typically addressed inliterature, such as Alcuin’s sequence, Rook paths, andLeech’s lattice. The book also presents fundamentalresults, discusses interconnection and problem-solving techniques,and collects and disseminates open problems that raise questionsand observations. Many important combinatorial methods are revisited and repeatedseveral times throughout the book in exercises, examples, theorems,and proofs alike, allowing readers to build confidence andreinforce their understanding of complex material. In addition, theauthor successfully guides readers step-by-step through three majorachievements of combinatorics: Van der Waerden’s theorem onarithmetic progressions, Pólya’s graph enumerationformula, and Leech’s 24-dimensional lattice. Along withupdated tables and references that reflect recent advances invarious areas, such as error-correcting codes and combinatorialdesigns, the Second Edition also features: Many new exercises to help readers understand and applycombinatorial techniques and ideas A deeper, investigative study of combinatorics throughexercises requiring the use of computer programs Over fifty new examples, ranging in level from routine toadvanced, that illustrate important combinatorial concepts Basic principles and theories in combinatorics as well as newand innovative results in the field Introduction to Combinatorics, Second Edition is an idealtextbook for a one- or two-semester sequence in combinatorics,graph theory, and discrete mathematics at the upper-undergraduatelevel. The book is also an excellent reference for anyoneinterested in the various applications of elementarycombinatorics.


50 years of Combinatorics, Graph Theory, and Computing

50 years of Combinatorics, Graph Theory, and Computing [Pdf/ePub] eBook Author: Fan Chung,Ron Graham,Frederick Hoffman,Ronald C. Mullin,Leslie Hogben,Douglas B. West
Editor: CRC Press
ISBN-10: 100075183X
Size: 1789 kb
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50 years of Combinatorics, Graph Theory, and Computing by Fan Chung,Ron Graham,Frederick Hoffman,Ronald C. Mullin,Leslie Hogben,Douglas B. West Book Summary:

50 Years of Combinatorics, Graph Theory, and Computing advances research in discrete mathematics by providing current research surveys, each written by experts in their subjects. The book also celebrates outstanding mathematics from 50 years at the Southeastern International Conference on Combinatorics, Graph Theory & Computing (SEICCGTC). The conference is noted for the dissemination and stimulation of research, while fostering collaborations among mathematical scientists at all stages of their careers. The authors of the chapters highlight open questions. The sections of the book include: Combinatorics; Graph Theory; Combinatorial Matrix Theory; Designs, Geometry, Packing and Covering. Readers will discover the breadth and depth of the presentations at the SEICCGTC, as well as current research in combinatorics, graph theory and computer science. Features: Commemorates 50 years of the Southeastern International Conference on Combinatorics, Graph Theory & Computing with research surveys Surveys highlight open questions to inspire further research Chapters are written by experts in their fields Extensive bibliographies are provided at the end of each chapter

Download or read 50 years of Combinatorics, Graph Theory, and Computing book by clicking button below to visit the book download website. There are multiple format available for you to choose (Pdf, ePub, Doc). 50 Years of Combinatorics, Graph Theory, and Computing advances research in discrete mathematics by providing current research surveys, each written by experts in their subjects. The book also celebrates outstanding mathematics from 50 years at the Southeastern International Conference on Combinatorics, Graph Theory & Computing (SEICCGTC). The conference is noted for the dissemination and stimulation of research, while fostering collaborations among mathematical scientists at all stages of their careers. The authors of the chapters highlight open questions. The sections of the book include: Combinatorics; Graph Theory; Combinatorial Matrix Theory; Designs, Geometry, Packing and Covering. Readers will discover the breadth and depth of the presentations at the SEICCGTC, as well as current research in combinatorics, graph theory and computer science. Features: Commemorates 50 years of the Southeastern International Conference on Combinatorics, Graph Theory & Computing with research surveys Surveys highlight open questions to inspire further research Chapters are written by experts in their fields Extensive bibliographies are provided at the end of each chapter


Probability

Probability [Pdf/ePub] eBook Author: John J. Kinney
Editor: John Wiley & Sons
ISBN-10: 111894710X
Size: 574 kb
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Probability by John J. Kinney Book Summary:

Praise for the First Edition "This is a well-written and impressively presentedintroduction to probability and statistics. The text throughout ishighly readable, and the author makes liberal use of graphs anddiagrams to clarify the theory." - The Statistician Thoroughly updated, Probability: An Introduction withStatistical Applications, Second Edition features acomprehensive exploration of statistical data analysis as anapplication of probability. The new edition provides anintroduction to statistics with accessible coverage of reliability,acceptance sampling, confidence intervals, hypothesis testing, andsimple linear regression. Encouraging readers to develop a deeperintuitive understanding of probability, the author presentsillustrative geometrical presentations and arguments without theneed for rigorous mathematical proofs. The Second Edition features interesting and practicalexamples from a variety of engineering and scientific fields, aswell as: Over 880 problems at varying degrees of difficulty allowingreaders to take on more challenging problems as their skill levelsincrease Chapter-by-chapter projects that aid in the visualization ofprobability distributions New coverage of statistical quality control and qualityproduction An appendix dedicated to the use ofMathematica® and a companion website containing thereferenced data sets Featuring a practical and real-world approach, this textbook isideal for a first course in probability for students majoring instatistics, engineering, business, psychology, operations research,and mathematics. Probability: An Introduction with StatisticalApplications, Second Edition is also an excellent reference forresearchers and professionals in any discipline who need to makedecisions based on data as well as readers interested in learninghow to accomplish effective decision making from data.

Download or read Probability book by clicking button below to visit the book download website. There are multiple format available for you to choose (Pdf, ePub, Doc). Praise for the First Edition "This is a well-written and impressively presentedintroduction to probability and statistics. The text throughout ishighly readable, and the author makes liberal use of graphs anddiagrams to clarify the theory." - The Statistician Thoroughly updated, Probability: An Introduction withStatistical Applications, Second Edition features acomprehensive exploration of statistical data analysis as anapplication of probability. The new edition provides anintroduction to statistics with accessible coverage of reliability,acceptance sampling, confidence intervals, hypothesis testing, andsimple linear regression. Encouraging readers to develop a deeperintuitive understanding of probability, the author presentsillustrative geometrical presentations and arguments without theneed for rigorous mathematical proofs. The Second Edition features interesting and practicalexamples from a variety of engineering and scientific fields, aswell as: Over 880 problems at varying degrees of difficulty allowingreaders to take on more challenging problems as their skill levelsincrease Chapter-by-chapter projects that aid in the visualization ofprobability distributions New coverage of statistical quality control and qualityproduction An appendix dedicated to the use ofMathematica® and a companion website containing thereferenced data sets Featuring a practical and real-world approach, this textbook isideal for a first course in probability for students majoring instatistics, engineering, business, psychology, operations research,and mathematics. Probability: An Introduction with StatisticalApplications, Second Edition is also an excellent reference forresearchers and professionals in any discipline who need to makedecisions based on data as well as readers interested in learninghow to accomplish effective decision making from data.


Combinatorial Geometry

Combinatorial Geometry [Pdf/ePub] eBook Author: János Pach,Pankaj K. Agarwal
Editor: John Wiley & Sons
ISBN-10: 1118031369
Size: 1051 kb
Format File: Pdf
Read: 1051

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Combinatorial Geometry by János Pach,Pankaj K. Agarwal Book Summary:

A complete, self-contained introduction to a powerful and resurgingmathematical discipline . Combinatorial Geometry presents andexplains with complete proofs some of the most important resultsand methods of this relatively young mathematical discipline,started by Minkowski, Fejes Toth, Rogers, and Erd???s. Nearly halfthe results presented in this book were discovered over the pasttwenty years, and most have never before appeared in any monograph.Combinatorial Geometry will be of particular interest tomathematicians, computer scientists, physicists, and materialsscientists interested in computational geometry, robotics, sceneanalysis, and computer-aided design. It is also a superb textbook,complete with end-of-chapter problems and hints to their solutionsthat help students clarify their understanding and test theirmastery of the material. Topics covered include: * Geometric number theory * Packing and covering with congruent convex disks * Extremal graph and hypergraph theory * Distribution of distances among finitely many points * Epsilon-nets and Vapnik--Chervonenkis dimension * Geometric graph theory * Geometric discrepancy theory * And much more

Download or read Combinatorial Geometry book by clicking button below to visit the book download website. There are multiple format available for you to choose (Pdf, ePub, Doc). A complete, self-contained introduction to a powerful and resurgingmathematical discipline . Combinatorial Geometry presents andexplains with complete proofs some of the most important resultsand methods of this relatively young mathematical discipline,started by Minkowski, Fejes Toth, Rogers, and Erd???s. Nearly halfthe results presented in this book were discovered over the pasttwenty years, and most have never before appeared in any monograph.Combinatorial Geometry will be of particular interest tomathematicians, computer scientists, physicists, and materialsscientists interested in computational geometry, robotics, sceneanalysis, and computer-aided design. It is also a superb textbook,complete with end-of-chapter problems and hints to their solutionsthat help students clarify their understanding and test theirmastery of the material. Topics covered include: * Geometric number theory * Packing and covering with congruent convex disks * Extremal graph and hypergraph theory * Distribution of distances among finitely many points * Epsilon-nets and Vapnik--Chervonenkis dimension * Geometric graph theory * Geometric discrepancy theory * And much more