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Author : V. K . Balakrishnan
ISBN : 9780486140384
Genre : Mathematics
File Size : 27.16 MB
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This concise, undergraduate-level text focuses on combinatorics, graph theory with applications to some standard network optimization problems, and algorithms. More than 200 exercises, many with complete solutions. 1991 edition.

Author : Christopher Rhoades
ISBN : 1682854922
Genre : Mathematics
File Size : 31.29 MB
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Discrete mathematics is defined as the study of mathematical structures which are not continuous. This includes integers, statements in logic, graphs, etc. The most important concepts studied under this subject are number theory, logic, probability, graph theory, algebra, set theory, information theory, combinatorics, geometry, game theory, topology, etc. This book provides comprehensive insights into the field of discrete mathematics. It aims to shed light on some of the unexplored aspects of the area. Different approaches, evaluations and methodologies have been included in the text. This book is an essential guide for both academicians and those who wish to pursue this discipline further.

Author : James L. Hein
ISBN : 0763722103
Genre : Computers
File Size : 73.82 MB
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Hein (Portland State U.) offers an introductory textbook that aims to give the reader a holistic understanding of discrete mathematics and computer science, through careful illustration of relationships between key concepts. Focusing on computation and the construction of objects, the text is organi

Author : Norman Biggs
ISBN : 0198507178
Genre : Computers
File Size : 23.89 MB
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The long-awaited second edition of Norman Bigg's best-selling Discrete Mathematics includes new chapters on statements and proof, logical framework, natural numbers and the integers, in addition to updated chapters from the previous edition. Carefully structured, coherent and comprehensive, each chapter contains tailored exercises and solutions to selected questions and miscellaneous exercises are presented throughout. This is an invaluable text for students seeking a clear introduction to discrete mathematics, graph theory, combinatorics, number theory and abstract algebra.Key Features:* Contains nine new introductory chapters, in addition to updated chapters from the previous edition* Contains over 1000 individual exercises and selected solutions* Companion website www.oup.com/mathematics/discretemath contains hints and solutions to all exercisesContents:The Language of Mathematics1. Statements and proofs2. Set notation3. The logical framework4. Natural numbers5. Functions6. How to count 7. Integers8. Divisibility and prime numbers9. Fractions and real numbersTechniques10. Principles of counting11. Subsets and designs12. Partition, classification and distribution13. Modular arithmeticAlgorithms and Graphs14. Algorithms and their efficiency15. Graphs16. Trees, sorting and searching17. Bipartite graphs and matching problems18. Digraphs, networks and flows19. Recursive techniquesAlgebraic Methods20. Groups21. Groups of permutations22. Rings, fields and polynomials23. Finite fields and some applications24. Error-correcting codes25. Generating functions26. Partitions of a positive integer27. Symmetry and counting

Author : Tom Jenkyns
ISBN : 9781447140696
Genre : Computers
File Size : 69.9 MB
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This textbook provides an engaging and motivational introduction to traditional topics in discrete mathematics, in a manner specifically designed to appeal to computer science students. The text empowers students to think critically, to be effective problem solvers, to integrate theory and practice, and to recognize the importance of abstraction. Clearly structured and interactive in nature, the book presents detailed walkthroughs of several algorithms, stimulating a conversation with the reader through informal commentary and provocative questions. Features: no university-level background in mathematics required; ideally structured for classroom-use and self-study, with modular chapters following ACM curriculum recommendations; describes mathematical processes in an algorithmic manner; contains examples and exercises throughout the text, and highlights the most important concepts in each section; selects examples that demonstrate a practical use for the concept in question.

Invitation to Discrete Mathematics is an introduction and a thoroughly comprehensive text at the same time. A lively and entertaining style with mathematical precision and maturity uniquely combine into an intellectual happening and should delight the interested reader. A master example of teaching contemporary discrete mathematics, and of teaching science in general.

Author : Richard Johnsonbaugh
ISBN : 9780321830920
Genre : Mathematics
File Size : 60.85 MB
Format : PDF
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This is the eBook of the printed book and may not include any media, website access codes, or print supplements that may come packaged with the bound book. For a one- or two-term introductory course in discrete mathematics. Focused on helping students understand and construct proofs and expanding their mathematical maturity, this best-selling text is an accessible introduction to discrete mathematics. Johnsonbaugh’s algorithmic approach emphasizes problem-solving techniques. The Seventh Edition reflects user and reviewer feedback on both content and organization.

Author : Eric Gossett
ISBN : 9780470457931
Genre : Mathematics
File Size : 23.11 MB
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"Discrete mathematics has become increasingly popular in recent years due to its growing applications in the field of computer science. - Discrete Mathematics with Proof, Second Edition continues to facilitate an up-to-date understanding of this important topic, exposing readers to a wide range of modern and technological applications. Assuming only a basic background in calculus, Discrete Mathematics with Proof, Second Edition is an excellent book for mathematics and computer science courses at the undergraduate level. - It is also a valuable resource for professionals in various technical fields who would like an introduction to discrete mathematics."--Jacket.

Author : Martin Loebl
ISBN : 9783834893291
Genre : Science
File Size : 43.11 MB
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The book first describes connections between some basic problems and technics of combinatorics and statistical physics. The discrete mathematics and physics terminology are related to each other. Using the established connections, some exciting activities in one field are shown from a perspective of the other field. The purpose of the book is to emphasize these interactions as a strong and successful tool. In fact, this attitude has been a strong trend in both research communities recently. It also naturally leads to many open problems, some of which seem to be basic. Hopefully, this book will help making these exciting problems attractive to advanced students and researchers.