Discrete Computational Structures
eBook - PDF

Discrete Computational Structures

  1. 396 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Discrete Computational Structures

About this book

Discrete Computational Structures describes discrete mathematical concepts that are important to computing, covering necessary mathematical fundamentals, computer representation of sets, graph theory, storage minimization, and bandwidth. The book also explains conceptual framework (Gorn trees, searching, subroutines) and directed graphs (flowcharts, critical paths, information network). The text discusses algebra particularly as it applies to concentrates on semigroups, groups, lattices, propositional calculus, including a new tabular method of Boolean function minimization. The text emphasizes combinatorics and probability. Examples show different techniques of the general process of enumerating objects. Combinatorics cover permutations, enumerators for combinations, Stirling numbers, cycle classes of permutations, partitions, and compositions. The book cites as example the interplay between discrete mathematics and computing using a system of distinct representatives (SDR) problem. The problem, originating from group theory, graph theory, and set theory can be worked out by the student with a network model involving computers to generate and analyze different scenarios. The book is intended for sophomore or junior level, corresponding to the course B3, "Introduction to Discrete Structures, " in the ACM Curriculum 68, as well as for mathematicians or professors of computer engineering and advanced mathematics.

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Information

Publisher
Academic Press
Year
2014
Print ISBN
9780124208506
eBook ISBN
9781483264295
Topic
Mathematics
Subtopic
Mathematics General
Index
Mathematics

Table of contents

  1. Front Cover
  2. Discrete Computational Structures
  3. Copyright Page
  4. Table of Contents
  5. Preface
  6. Acknowledgments
  7. Chapter 1. Basic Forms and Operations
  8. Chapter 2. Undirected Graphs
  9. Chapter 3. Gorn Trees
  10. Chapter 4. Directed Graphs
  11. Chapter 5. Formal and Natural Languages
  12. Chapter 6. Finite Groups and Computing
  13. Chapter 7. Partial Orders and Lattices
  14. Chapter 8. Boolean Algebras
  15. Chapter 9. The Propositional Calculus
  16. Chapter 10. Combinatorics
  17. Chapter 11. Systems of Distinct Representatives
  18. Chapter 12. Discrete Probability
  19. Answers and Hints for Selected Exercises
  20. Index
  21. Computer Science and Applied Mathematics

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Yes, you can access Discrete Computational Structures by Robert R. Korfhage, Werner Rheinboldt in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematics General. We have over one million books available in our catalogue for you to explore.