Applied Combinatorial Mathematics
Author | : George Pólya |
Publisher | : |
Total Pages | : 644 |
Release | : 1981 |
Genre | : Mathematics |
ISBN | : |
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Author | : George Pólya |
Publisher | : |
Total Pages | : 644 |
Release | : 1981 |
Genre | : Mathematics |
ISBN | : |
Author | : Ralph P. Grimaldi |
Publisher | : |
Total Pages | : 930 |
Release | : 2013-07-27 |
Genre | : Combinatorial analysis |
ISBN | : 9781292022796 |
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.
Author | : Edward A. Bender |
Publisher | : Courier Corporation |
Total Pages | : 789 |
Release | : 2013-01-18 |
Genre | : Mathematics |
ISBN | : 0486151506 |
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.
Author | : Fred Roberts |
Publisher | : CRC Press |
Total Pages | : 889 |
Release | : 2009-06-03 |
Genre | : Computers |
ISBN | : 1420099833 |
Now with solutions to selected problems, Applied Combinatorics, Second Edition presents the tools of combinatorics from an applied point of view. This bestselling textbook offers numerous references to the literature of combinatorics and its applications that enable readers to delve more deeply into the topics.After introducing fundamental counting
Author | : Ian Anderson (Ph. D.) |
Publisher | : |
Total Pages | : 146 |
Release | : 1974 |
Genre | : Mathematics |
ISBN | : |
Author | : M. Lothaire |
Publisher | : Cambridge University Press |
Total Pages | : 646 |
Release | : 2005-07-11 |
Genre | : Computers |
ISBN | : 9780521848022 |
Publisher Description
Author | : Jonathan L. Gross |
Publisher | : CRC Press |
Total Pages | : 664 |
Release | : 2016-04-19 |
Genre | : Computers |
ISBN | : 1584887443 |
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
Author | : Raj Chandra Bose |
Publisher | : |
Total Pages | : 632 |
Release | : 1969 |
Genre | : Combinatorial analysis |
ISBN | : |
Author | : Nicholas Loehr |
Publisher | : CRC Press |
Total Pages | : 849 |
Release | : 2017-08-10 |
Genre | : Mathematics |
ISBN | : 149878027X |
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.
Author | : Kenneth H. Rosen |
Publisher | : CRC Press |
Total Pages | : 1611 |
Release | : 2017-10-19 |
Genre | : Mathematics |
ISBN | : 135164405X |
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.