An Atlas Of The Smaller Maps In Orientable And Nonorientable Surfaces

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An Atlas of the Smaller Maps in Orientable and Nonorientable Surfaces

Author : David Jackson
Publisher : CRC Press
ISBN 13 : 1420035746
Total Pages : 288 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis An Atlas of the Smaller Maps in Orientable and Nonorientable Surfaces by : David Jackson

Download or read book An Atlas of the Smaller Maps in Orientable and Nonorientable Surfaces written by David Jackson and published by CRC Press. This book was released on 2000-09-15 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: Maps are beguilingly simple structures with deep and ubiquitous properties. They arise in an essential way in many areas of mathematics and mathematical physics, but require considerable time and computational effort to generate. Few collected drawings are available for reference, and little has been written, in book form, about their enumerative a

Handbook of Finite State Based Models and Applications

Author : Jiacun Wang
Publisher : CRC Press
ISBN 13 : 1439846197
Total Pages : 409 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Handbook of Finite State Based Models and Applications by : Jiacun Wang

Download or read book Handbook of Finite State Based Models and Applications written by Jiacun Wang and published by CRC Press. This book was released on 2016-04-19 with total page 409 pages. Available in PDF, EPUB and Kindle. Book excerpt: Applicable to any problem that requires a finite number of solutions, finite state-based models (also called finite state machines or finite state automata) have found wide use in various areas of computer science and engineering. Handbook of Finite State Based Models and Applications provides a complete collection of introductory materials on fini

Introduction to Coding Theory

Author : Jurgen Bierbrauer
Publisher : CRC Press
ISBN 13 : 135198960X
Total Pages : 318 pages
Book Rating : 4.3/5 (519 download)

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Book Synopsis Introduction to Coding Theory by : Jurgen Bierbrauer

Download or read book Introduction to Coding Theory written by Jurgen Bierbrauer and published by CRC Press. This book was released on 2018-10-03 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although its roots lie in information theory, the applications of coding theory now extend to statistics, cryptography, and many areas of pure mathematics, as well as pervading large parts of theoretical computer science, from universal hashing to numerical integration. Introduction to Coding Theory introduces the theory of error-correcting codes in a thorough but gentle presentation. Part I begins with basic concepts, then builds from binary linear codes and Reed-Solomon codes to universal hashing, asymptotic results, and 3-dimensional codes. Part II emphasizes cyclic codes, applications, and the geometric desciption of codes. The author takes a unique, more natural approach to cyclic codes that is not couched in ring theory but by virtue of its simplicity, leads to far-reaching generalizations. Throughout the book, his discussions are packed with applications that include, but reach well beyond, data transmission, with each one introduced as soon as the codes are developed. Although designed as an undergraduate text with myriad exercises, lists of key topics, and chapter summaries, Introduction to Coding Theory explores enough advanced topics to hold equal value as a graduate text and professional reference. Mastering the contents of this book brings a complete understanding of the theory of cyclic codes, including their various applications and the Euclidean algorithm decoding of BCH-codes, and carries readers to the level of the most recent research.

Combinatorics

Author : Nicholas Loehr
Publisher : CRC Press
ISBN 13 : 1498780261
Total Pages : 618 pages
Book Rating : 4.4/5 (987 download)

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Book Synopsis Combinatorics by : Nicholas Loehr

Download or read book Combinatorics written by Nicholas Loehr and published by CRC Press. This book was released on 2017-08-10 with total page 618 pages. Available in PDF, EPUB and Kindle. Book excerpt: Combinatorics, Second Edition is a well-rounded, general introduction to the subjects of enumerative, bijective, and algebraic combinatorics. The textbook emphasizes bijective proofs, which provide elegant solutions to counting problems by setting up one-to-one correspondences between two sets of combinatorial objects. The author has written the textbook to be accessible to readers without any prior background in abstract algebra or combinatorics. Part I of the second edition develops an array of mathematical tools to solve counting problems: basic counting rules, recursions, inclusion-exclusion techniques, generating functions, bijective proofs, and linear algebraic methods. These tools are used to analyze combinatorial structures such as words, permutations, subsets, functions, graphs, trees, lattice paths, and much more. Part II cover topics in algebraic combinatorics including group actions, permutation statistics, symmetric functions, and tableau combinatorics. This edition provides greater coverage of the use of ordinary and exponential generating functions as a problem-solving tool. Along with two new chapters, several new sections, and improved exposition throughout, the textbook is brimming with many examples and exercises of various levels of difficulty.

Handbook of Combinatorial Designs

Author : Charles J. Colbourn
Publisher : CRC Press
ISBN 13 : 1420010549
Total Pages : 1011 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Handbook of Combinatorial Designs by : Charles J. Colbourn

Download or read book Handbook of Combinatorial Designs written by Charles J. Colbourn and published by CRC Press. This book was released on 2006-11-02 with total page 1011 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Diophantine Analysis

Author : Jorn Steuding
Publisher : CRC Press
ISBN 13 : 1584884827
Total Pages : 275 pages
Book Rating : 4.5/5 (848 download)

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Book Synopsis Diophantine Analysis by : Jorn Steuding

Download or read book Diophantine Analysis written by Jorn Steuding and published by CRC Press. This book was released on 2005-05-19 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: While its roots reach back to the third century, diophantine analysis continues to be an extremely active and powerful area of number theory. Many diophantine problems have simple formulations, they can be extremely difficult to attack, and many open problems and conjectures remain. Diophantine Analysis examines the theory of diophantine approximations and the theory of diophantine equations, with emphasis on interactions between these subjects. Beginning with the basic principles, the author develops his treatment around the theory of continued fractions and examines the classic theory, including some of its applications. He also explores modern topics rarely addressed in other texts, including the abc conjecture, the polynomial Pell equation, and the irrationality of the zeta function and touches on topics and applications related to discrete mathematics, such as factoring methods for large integers. Setting the stage for tackling the field's many open problems and conjectures, Diophantine Analysis is an ideal introduction to the fundamentals of this venerable but still dynamic field. A detailed appendix supplies the necessary background material, more than 200 exercises reinforce the concepts, and engaging historical notes bring the subject to life.

How to Count

Author : R.B.J.T. Allenby
Publisher : CRC Press
ISBN 13 : 1420082612
Total Pages : 440 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis How to Count by : R.B.J.T. Allenby

Download or read book How to Count written by R.B.J.T. Allenby and published by CRC Press. This book was released on 2011-07-01 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: Emphasizes a Problem Solving Approach A first course in combinatorics Completely revised, How to Count: An Introduction to Combinatorics, Second Edition shows how to solve numerous classic and other interesting combinatorial problems. The authors take an easily accessible approach that introduces problems before leading into the theory involved. Although the authors present most of the topics through concrete problems, they also emphasize the importance of proofs in mathematics. New to the Second Edition This second edition incorporates 50 percent more material. It includes seven new chapters that cover occupancy problems, Stirling and Catalan numbers, graph theory, trees, Dirichlet’s pigeonhole principle, Ramsey theory, and rook polynomials. This edition also contains more than 450 exercises. Ideal for both classroom teaching and self-study, this text requires only a modest amount of mathematical background. In an engaging way, it covers many combinatorial tools, such as the inclusion-exclusion principle, generating functions, recurrence relations, and Pólya’s counting theorem.

Handbook of Graph Theory

Author : Jonathan L. Gross
Publisher : CRC Press
ISBN 13 : 9780203490204
Total Pages : 1200 pages
Book Rating : 4.4/5 (92 download)

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Book Synopsis Handbook of Graph Theory by : Jonathan L. Gross

Download or read book Handbook of Graph Theory written by Jonathan L. Gross and published by CRC Press. This book was released on 2003-12-29 with total page 1200 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Handbook of Graph Theory is the most comprehensive single-source guide to graph theory ever published. Best-selling authors Jonathan Gross and Jay Yellen assembled an outstanding team of experts to contribute overviews of more than 50 of the most significant topics in graph theory-including those related to algorithmic and optimization approach

Graph Searching Games and Probabilistic Methods

Author : Anthony Bonato
Publisher : CRC Press
ISBN 13 : 135181477X
Total Pages : 346 pages
Book Rating : 4.3/5 (518 download)

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Book Synopsis Graph Searching Games and Probabilistic Methods by : Anthony Bonato

Download or read book Graph Searching Games and Probabilistic Methods written by Anthony Bonato and published by CRC Press. This book was released on 2017-11-28 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graph Searching Games and Probabilistic Methods is the first book that focuses on the intersection of graph searching games and probabilistic methods. The book explores various applications of these powerful mathematical tools to games and processes such as Cops and Robbers, Zombie and Survivors, and Firefighting. Written in an engaging style, the book is accessible to a wide audience including mathematicians and computer scientists. Readers will find that the book provides state-of-the-art results, techniques, and directions in graph searching games, especially from the point of view of probabilistic methods. The authors describe three directions while providing numerous examples, which include: • Playing a deterministic game on a random board. • Players making random moves. • Probabilistic methods used to analyze a deterministic game.

Graphs, Algorithms, and Optimization

Author : William Kocay
Publisher : CRC Press
ISBN 13 : 1482251183
Total Pages : 566 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis Graphs, Algorithms, and Optimization by : William Kocay

Download or read book Graphs, Algorithms, and Optimization written by William Kocay and published by CRC Press. This book was released on 2016-11-03 with total page 566 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. The text is suitable for students in computer science or mathematics programs.

Algorithmic Combinatorics on Partial Words

Author : Francine Blanchet-Sadri
Publisher : CRC Press
ISBN 13 : 1420060937
Total Pages : 392 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Algorithmic Combinatorics on Partial Words by : Francine Blanchet-Sadri

Download or read book Algorithmic Combinatorics on Partial Words written by Francine Blanchet-Sadri and published by CRC Press. This book was released on 2007-11-19 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: The discrete mathematics and theoretical computer science communities have recently witnessed explosive growth in the area of algorithmic combinatorics on words. The next generation of research on combinatorics of partial words promises to have a substantial impact on molecular biology, nanotechnology, data communication, and DNA computing. Delving

Discrete Structures and Their Interactions

Author : Jason I. Brown
Publisher : CRC Press
ISBN 13 : 1466579420
Total Pages : 214 pages
Book Rating : 4.4/5 (665 download)

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Book Synopsis Discrete Structures and Their Interactions by : Jason I. Brown

Download or read book Discrete Structures and Their Interactions written by Jason I. Brown and published by CRC Press. This book was released on 2016-04-19 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discover the Connections between Different Structures and FieldsDiscrete Structures and Their Interactions highlights the connections among various discrete structures, including graphs, directed graphs, hypergraphs, partial orders, finite topologies, and simplicial complexes. It also explores their relationships to classical areas of mathematics,

Handbook of Graph Theory, Second Edition

Author : Jonathan L. Gross
Publisher : CRC Press
ISBN 13 : 1439880182
Total Pages : 1634 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Handbook of Graph Theory, Second Edition by : Jonathan L. Gross

Download or read book Handbook of Graph Theory, Second Edition written by Jonathan L. Gross and published by CRC Press. This book was released on 2013-12-17 with total page 1634 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the ten years since the publication of the best-selling first edition, more than 1,000 graph theory papers have been published each year. Reflecting these advances, Handbook of Graph Theory, Second Edition provides comprehensive coverage of the main topics in pure and applied graph theory. This second edition—over 400 pages longer than its predecessor—incorporates 14 new sections. Each chapter includes lists of essential definitions and facts, accompanied by examples, tables, remarks, and, in some cases, conjectures and open problems. A bibliography at the end of each chapter provides an extensive guide to the research literature and pointers to monographs. In addition, a glossary is included in each chapter as well as at the end of each section. This edition also contains notes regarding terminology and notation. With 34 new contributors, this handbook is the most comprehensive single-source guide to graph theory. It emphasizes quick accessibility to topics for non-experts and enables easy cross-referencing among chapters.

Introduction to Mathematical Logic

Author : Elliott Mendelson
Publisher : CRC Press
ISBN 13 : 1584888776
Total Pages : 496 pages
Book Rating : 4.5/5 (848 download)

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Book Synopsis Introduction to Mathematical Logic by : Elliott Mendelson

Download or read book Introduction to Mathematical Logic written by Elliott Mendelson and published by CRC Press. This book was released on 2009-08-11 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: Retaining all the key features of the previous editions, Introduction to Mathematical Logic, Fifth Edition explores the principal topics of mathematical logic. It covers propositional logic, first-order logic, first-order number theory, axiomatic set theory, and the theory of computability. The text also discusses the major results of Godel, Church

A Multidisciplinary Introduction to Information Security

Author : Stig F. Mjolsnes
Publisher : CRC Press
ISBN 13 : 1466506512
Total Pages : 342 pages
Book Rating : 4.4/5 (665 download)

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Book Synopsis A Multidisciplinary Introduction to Information Security by : Stig F. Mjolsnes

Download or read book A Multidisciplinary Introduction to Information Security written by Stig F. Mjolsnes and published by CRC Press. This book was released on 2011-11-09 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: With most services and products now being offered through digital communications, new challenges have emerged for information security specialists. A Multidisciplinary Introduction to Information Security presents a range of topics on the security, privacy, and safety of information and communication technology. It brings together methods in pure m

Introduction to Combinatorics

Author : Walter D. Wallis
Publisher : CRC Press
ISBN 13 : 1498777635
Total Pages : 424 pages
Book Rating : 4.4/5 (987 download)

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Book Synopsis Introduction to Combinatorics by : Walter D. Wallis

Download or read book Introduction to Combinatorics written by Walter D. Wallis and published by CRC Press. This book was released on 2016-12-12 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Handbook of Linear Algebra

Author : Leslie Hogben
Publisher : CRC Press
ISBN 13 : 1466507292
Total Pages : 1838 pages
Book Rating : 4.4/5 (665 download)

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Book Synopsis Handbook of Linear Algebra by : Leslie Hogben

Download or read book Handbook of Linear Algebra written by Leslie Hogben and published by CRC Press. This book was released on 2013-11-26 with total page 1838 pages. Available in PDF, EPUB and Kindle. Book excerpt: With a substantial amount of new material, the Handbook of Linear Algebra, Second Edition provides comprehensive coverage of linear algebra concepts, applications, and computational software packages in an easy-to-use format. It guides you from the very elementary aspects of the subject to the frontiers of current research. Along with revisions and