Combinatorial Mathematics

Combinatorial Mathematics
Author: Herbert John Ryser
Publisher: American Mathematical Soc.
Total Pages: 154
Release: 1963-12-31
Genre: 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

Combinatorial Mathematics
Author: Douglas B. West
Publisher: Cambridge University Press
Total Pages: 990
Release: 2020-07-16
Genre: 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

Discrete and Combinatorial Mathematics
Author: Ralph P. Grimaldi
Publisher:
Total Pages: 930
Release: 2013-07-27
Genre: 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

Foundations of Combinatorics with Applications
Author: Edward A. Bender
Publisher: Courier Corporation
Total Pages: 789
Release: 2013-01-18
Genre: 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.

Foundations of Combinatorial Topology

Foundations of Combinatorial Topology
Author: L. S. Pontryagin
Publisher: Courier Corporation
Total Pages: 112
Release: 2015-05-20
Genre: Mathematics
ISBN: 0486406857

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Concise, rigorous introduction to homology theory features applications to dimension theory and fixed-point theorems. Lucid coverage of the field includes examinations of complexes and their Betti groups, invariance of the Betti groups, and continuous mappings and fixed points. Proofs are presented in a complete and careful manner. A beneficial text for a graduate-level course, "this little book is an extremely valuable addition to the literature of algebraic topology." — The Mathematical Gazette.

Geometric Etudes in Combinatorial Mathematics

Geometric Etudes in Combinatorial Mathematics
Author: Alexander Soifer
Publisher: Springer Science & Business Media
Total Pages: 292
Release: 2010-06-15
Genre: 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

Counting and Configurations

Counting and Configurations
Author: Jiri Herman
Publisher: Springer Science & Business Media
Total Pages: 402
Release: 2013-03-14
Genre: Mathematics
ISBN: 1475739257

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This book presents methods of solving problems in three areas of elementary combinatorial mathematics: classical combinatorics, combinatorial arithmetic, and combinatorial geometry. Brief theoretical discussions are immediately followed by carefully worked-out examples of increasing degrees of difficulty and by exercises that range from routine to rather challenging. The book features approximately 310 examples and 650 exercises.

Handbook of Discrete and Combinatorial Mathematics

Handbook of Discrete and Combinatorial Mathematics
Author: Kenneth H. Rosen
Publisher: CRC Press
Total Pages: 1611
Release: 2017-10-19
Genre: 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.