Discrete Mathematics With Combinatorics And Graph Theory PDF Download
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| Author | : Sriram Pemmaraju |
| Publisher | : Cambridge University Press |
| Total Pages | : 615 |
| Release | : 2009-10-15 |
| Genre | : Computers |
| ISBN | : 1107268710 |
Download Computational Discrete Mathematics Book in PDF, ePub and Kindle
This book was first published in 2003. Combinatorica, an extension to the popular computer algebra system Mathematica®, is the most comprehensive software available for teaching and research applications of discrete mathematics, particularly combinatorics and graph theory. This book is the definitive reference/user's guide to Combinatorica, with examples of all 450 Combinatorica functions in action, along with the associated mathematical and algorithmic theory. The authors cover classical and advanced topics on the most important combinatorial objects: permutations, subsets, partitions, and Young tableaux, as well as all important areas of graph theory: graph construction operations, invariants, embeddings, and algorithmic graph theory. In addition to being a research tool, Combinatorica makes discrete mathematics accessible in new and exciting ways to a wide variety of people, by encouraging computational experimentation and visualization. The book contains no formal proofs, but enough discussion to understand and appreciate all the algorithms and theorems it contains.
| Author | : John Harris |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 392 |
| Release | : 2009-04-03 |
| Genre | : Mathematics |
| ISBN | : 0387797114 |
Download Combinatorics and Graph Theory Book in PDF, ePub and Kindle
These notes were first used in an introductory course team taught by the authors at Appalachian State University to advanced undergraduates and beginning graduates. The text was written with four pedagogical goals in mind: offer a variety of topics in one course, get to the main themes and tools as efficiently as possible, show the relationships between the different topics, and include recent results to convince students that mathematics is a living discipline.
| Author | : Steven Skiena |
| Publisher | : Addison-Wesley Longman |
| Total Pages | : 344 |
| Release | : 1996 |
| Genre | : Mathematics |
| ISBN | : 9780201694673 |
Download Implementing Discrete Mathematics Book in PDF, ePub and Kindle
This book concentrates on two distinct areas in discrete mathematics. The first section deals with combinatorics, loosely defined as the study of counting. We provide functions for generating combinatorial objects such as permutations, partitions, and Young tableaux, as well as for studying various aspects of these structures.The second section considers graph theory, which can be defined equally loosely as the study of binary relations. We consider a wide variety of graphs, provide functions to create them, and functions to show what special properties they have, Although graphs are combinatorial structures, understanding them requires pictures or embeddings. Thus we provide functions to create a variety of graph embeddings, so the same structure can be viewed in several different ways. Algorithmic graph theory is an important interface between mathematics and computer science, and so we study a variety of polynominal and exponential time problems.
| Author | : Michael Townsend |
| Publisher | : Benjamin-Cummings Publishing Company |
| Total Pages | : 416 |
| Release | : 1987 |
| Genre | : Mathematics |
| ISBN | : |
Download Discrete Mathematics Book in PDF, ePub and Kindle
| Author | : S. Santha |
| Publisher | : |
| Total Pages | : 850 |
| Release | : 2009-01-01 |
| Genre | : Algebra |
| ISBN | : 9788131510988 |
Download Discrete Mathematics With Combinatorics And Graph Theory Book in PDF, ePub and Kindle
Discrete Mathematics is designed to serve as a textbook for a single-semester undergraduate course on the discrete and combinatorial mathematics. Beginning with a a lucid introduction to logic and set theory, the book goes on to cover matrix algebra, algebraic systems, coding theory, lattices and Boolean algebra, parts, and discrete probability A comprehensive chapter dedicated to graph theory makes it a complete undergraduate text on discrete mathematical structures.Written in an easy-to-understand manner, the book includes a large number of solved examples which illustrate problem-solving methodology. It contains an extensive set of exercises. Both solved and unsolved problems show a good gradation of difficulty levels. A summary at the end of each chapter reviews the key concepts discussed.
| Author | : K. Erciyes |
| Publisher | : Springer Nature |
| Total Pages | : 345 |
| Release | : 2021-01-28 |
| Genre | : Computers |
| ISBN | : 3030611159 |
Download Discrete Mathematics and Graph Theory Book in PDF, ePub and Kindle
This textbook can serve as a comprehensive manual of discrete mathematics and graph theory for non-Computer Science majors; as a reference and study aid for professionals and researchers who have not taken any discrete math course before. It can also be used as a reference book for a course on Discrete Mathematics in Computer Science or Mathematics curricula. The study of discrete mathematics is one of the first courses on curricula in various disciplines such as Computer Science, Mathematics and Engineering education practices. Graphs are key data structures used to represent networks, chemical structures, games etc. and are increasingly used more in various applications such as bioinformatics and the Internet. Graph theory has gone through an unprecedented growth in the last few decades both in terms of theory and implementations; hence it deserves a thorough treatment which is not adequately found in any other contemporary books on discrete mathematics, whereas about 40% of this textbook is devoted to graph theory. The text follows an algorithmic approach for discrete mathematics and graph problems where applicable, to reinforce learning and to show how to implement the concepts in real-world applications.
| Author | : Martin Charles Golumbic |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 296 |
| Release | : 2006-03-30 |
| Genre | : Mathematics |
| ISBN | : 0387250360 |
Download Graph Theory, Combinatorics and Algorithms Book in PDF, ePub and Kindle
Graph Theory, Combinatorics and Algorithms: Interdisciplinary Applications focuses on discrete mathematics and combinatorial algorithms interacting with real world problems in computer science, operations research, applied mathematics and engineering. The book contains eleven chapters written by experts in their respective fields, and covers a wide spectrum of high-interest problems across these discipline domains. Among the contributing authors are Richard Karp of UC Berkeley and Robert Tarjan of Princeton; both are at the pinnacle of research scholarship in Graph Theory and Combinatorics. The chapters from the contributing authors focus on "real world" applications, all of which will be of considerable interest across the areas of Operations Research, Computer Science, Applied Mathematics, and Engineering. These problems include Internet congestion control, high-speed communication networks, multi-object auctions, resource allocation, software testing, data structures, etc. In sum, this is a book focused on major, contemporary problems, written by the top research scholars in the field, using cutting-edge mathematical and computational techniques.
| Author | : T. Sengadir |
| Publisher | : Pearson Education India |
| Total Pages | : 572 |
| Release | : 2009-09 |
| Genre | : Applied mathematics |
| ISBN | : 9788131714058 |
Download Discrete Mathematics and Combinatorics Book in PDF, ePub and Kindle
Discrete Mathematics and Combinatorics provides a concise and practical introduction to the core components of discrete mathematics, featuring a balanced mix of basic theories and applications. The book covers both fundamental concepts such as sets and logic, as well as advanced topics such as graph theory and Turing machines. The example-driven approach will help readers in understanding and applying the concepts. Other pedagogical tools - illustrations, practice questions, and suggested reading - facilitate learning and mastering the subject."--Cover
| Author | : Ioan Tomescu |
| Publisher | : Wiley-Interscience |
| Total Pages | : 362 |
| Release | : 1985-04-30 |
| Genre | : Mathematics |
| ISBN | : |
Download Problems in Combinatorics and Graph Theory Book in PDF, ePub and Kindle
Covers the most important combinatorial structures and techniques. This is a book of problems and solutions which range in difficulty and scope from the elementary/student-oriented to open questions at the research level. Each problem is accompanied by a complete and detailed solution together with appropriate references to the mathematical literature, helping the reader not only to learn but to apply the relevant discrete methods. The text is unique in its range and variety -- some problems include straightforward manipulations while others are more complicated and require insights and a solid foundation of combinatorics and/or graph theory. Includes a dictionary of terms that makes many of the challenging problems accessible to those whose mathematical education is limited to highschool algebra.
| Author | : Kenneth H. Rosen |
| Publisher | : CRC Press |
| Total Pages | : 1612 |
| Release | : 2017-10-19 |
| Genre | : Mathematics |
| ISBN | : 1584887818 |
Download Handbook of Discrete and Combinatorial Mathematics Book in PDF, ePub and Kindle
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.
