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Combinatorial Mathematics

Author : Herbert John Ryser
Publisher : American Mathematical Soc.
Page : 154 pages
File Size : 37,76 MB
Release : 1963-12-31
Category : Combinatorial analysis
ISBN : 161444014X

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Herbert J. Ryser is widely regarded as one of the major figures in combinatorics in the 20th century. His Combinatorial Mathematics is a classic which has enticed many young mathematics students into this area.

Combinatorial Mathematics

Author : Douglas B. West
Publisher : Cambridge University Press
Page : 990 pages
File Size : 48,81 MB
Release : 2020-07-16
Category : Mathematics
ISBN : 1107058589

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This is the most readable and thorough graduate textbook and reference for combinatorics, covering enumeration, graphs, sets, and methods.

Discrete and Combinatorial Mathematics

Author : Ralph P. Grimaldi
Publisher :
Page : 930 pages
File Size : 19,43 MB
Release : 2013-07-27
Category : Combinatorial analysis
ISBN : 9781292022796

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This fifth edition continues to improve on the features that have made it the market leader. The text offers a flexible organization, enabling instructors to adapt the book to their particular courses. The book is both complete and careful, and it continues to maintain its emphasis on algorithms and applications. Excellent exercise sets allow students to perfect skills as they practice. This new edition continues to feature numerous computer science applications-making this the ideal text for preparing students for advanced study.

Foundations of Combinatorics with Applications

Author : Edward A. Bender
Publisher : Courier Corporation
Page : 789 pages
File Size : 22,36 MB
Release : 2013-01-18
Category : Mathematics
ISBN : 0486151506

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This introduction to combinatorics, the foundation of the interaction between computer science and mathematics, is suitable for upper-level undergraduates and graduate students in engineering, science, and mathematics. The four-part treatment begins with a section on counting and listing that covers basic counting, functions, decision trees, and sieving methods. The following section addresses fundamental concepts in graph theory and a sampler of graph topics. The third part examines a variety of applications relevant to computer science and mathematics, including induction and recursion, sorting theory, and rooted plane trees. The final section, on generating functions, offers students a powerful tool for studying counting problems. Numerous exercises appear throughout the text, along with notes and references. The text concludes with solutions to odd-numbered exercises and to all appendix exercises.

Combinatorial Group Theory

Author : Wilhelm Magnus
Publisher : Courier Corporation
Page : 466 pages
File Size : 31,21 MB
Release : 2004-01-01
Category : Mathematics
ISBN : 0486438309

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This seminal, much-cited account begins with a fairly elementary exposition of basic concepts and a discussion of factor groups and subgroups. The topics of Nielsen transformations, free and amalgamated products, and commutator calculus receive detailed treatment. The concluding chapter surveys word, conjugacy, and related problems; adjunction and embedding problems; and more. Second, revised 1976 edition.

Geometric Etudes in Combinatorial Mathematics

Author : Alexander Soifer
Publisher : Springer Science & Business Media
Page : 292 pages
File Size : 30,99 MB
Release : 2010-06-15
Category : Mathematics
ISBN : 0387754695

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Geometric Etudes in Combinatorial Mathematics is not only educational, it is inspirational. This distinguished mathematician captivates the young readers, propelling them to search for solutions of life’s problems—problems that previously seemed hopeless. Review from the first edition: The etudes presented here are not simply those of Czerny, but are better compared to the etudes of Chopin, not only technically demanding and addressed to a variety of specific skills, but at the same time possessing an exceptional beauty that characterizes the best of art...Keep this book at hand as you plan your next problem solving seminar. —The American Mathematical Monthly

Combinatorics for Computer Science

Author : Stanley Gill Williamson
Publisher : Courier Corporation
Page : 548 pages
File Size : 11,42 MB
Release : 2002-01-01
Category : Mathematics
ISBN : 9780486420769

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Useful guide covers two major subdivisions of combinatorics — enumeration and graph theory — with emphasis on conceptual needs of computer science. Each part is divided into a "basic concepts" chapter emphasizing intuitive needs of the subject, followed by four "topics" chapters that explore these ideas in depth. Invaluable practical resource for graduate students, advanced undergraduates, and professionals with an interest in algorithm design and other aspects of computer science and combinatorics. References for Linear Order & for Graphs, Trees, and Recursions. 219 figures.

Handbook of Discrete and Combinatorial Mathematics

Author : Kenneth H. Rosen
Publisher : CRC Press
Page : 1611 pages
File Size : 48,42 MB
Release : 2017-10-19
Category : Mathematics
ISBN : 135164405X

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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.

A Combinatorial Introduction to Topology

Author : Michael Henle
Publisher : Courier Corporation
Page : 340 pages
File Size : 27,24 MB
Release : 1994-01-01
Category : Mathematics
ISBN : 9780486679662

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Excellent text covers vector fields, plane homology and the Jordan Curve Theorem, surfaces, homology of complexes, more. Problems and exercises. Some knowledge of differential equations and multivariate calculus required.Bibliography. 1979 edition.