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 | : 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 | : 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 | : Raj Chandra Bose |
Publisher | : |
Total Pages | : 632 |
Release | : 1969 |
Genre | : Combinatorial analysis |
ISBN | : |
Author | : J. H. van Lint |
Publisher | : Cambridge University Press |
Total Pages | : 620 |
Release | : 2001-11-22 |
Genre | : Mathematics |
ISBN | : 9780521006019 |
This is the second edition of a popular book on combinatorics, a subject dealing with ways of arranging and distributing objects, and which involves ideas from geometry, algebra and analysis. The breadth of the theory is matched by that of its applications, which include topics as diverse as codes, circuit design and algorithm complexity. It has thus become essential for workers in many scientific fields to have some familiarity with the subject. The authors have tried to be as comprehensive as possible, dealing in a unified manner with, for example, graph theory, extremal problems, designs, colorings and codes. The depth and breadth of the coverage make the book a unique guide to the whole of the subject. The book is ideal for courses on combinatorical mathematics at the advanced undergraduate or beginning graduate level. Working mathematicians and scientists will also find it a valuable introduction and reference.
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.
Author | : Walter D. Wallis |
Publisher | : CRC Press |
Total Pages | : 424 |
Release | : 2016-12-12 |
Genre | : Mathematics |
ISBN | : 1498777635 |
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