Discrete Mathematics for Computer Science
eBook - PDF

Discrete Mathematics for Computer Science

  1. 241 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Discrete Mathematics for Computer Science

About this book

This book discusses the role of proofs in mathematics and computer science. In mathematics, a proof involves validating a proposition through logical deductions from axioms. Computer scientists focus on demonstrating program accuracy, given the increasing error susceptibility of software. A community of specialists aims to enhance program precision, extending to verifying computer processor chips for leading manufacturers. Creating mathematical models to affirm program validity is an active study area. A proof, in this context, involves a sequence of logical deductions from axioms and established statements, leading to the desired proposition. While crafting proofs may seem daunting, standard templates offer a framework. Some templates can be interconnected, providing both high-level structure and detailed guidance. The Principle of Mathematical Induction is applied to validate algorithms without computer reliance. Sets underpin modern mathematics and software engineering, introduced with language and typical tasks. Primary set operations' understanding enables proof techniques for functions, relations, and graphs, validating algorithms for specific tasks. The book delves into language describing element collections and sets, providing proof templates for comprehension and construction. The book covers common set operations, introduces additional proof templates, and addresses numbering elements and the Principle of Mathematical Induction. This exploration deepens the understanding of mathematical proofs and their role in computer science applications.

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Yes, you can access Discrete Mathematics for Computer Science by Pomde N.P in PDF and/or ePUB format, as well as other popular books in Mathematics & Discrete Mathematics. We have over one million books available in our catalogue for you to explore.

Information

Table of contents

  1. Cover
  2. HalfTitle Page
  3. Title Page
  4. Copyright
  5. About the Editor
  6. Table of Contents
  7. List of Figures
  8. List of Abbreviations
  9. Abstract
  10. Preface
  11. Chapter 1: Mathematical Logic and Proofs
  12. Chapter 2: Basic Mathematics on the Real Numbers
  13. Chapter 3: Fundamental Mathematical Objects
  14. Chapter 4: Modular Arithmetic and Polynomials
  15. Chapter 5: Mathematical Functions
  16. Chapter 6: Linear Algebra in Mathematics
  17. Chapter 7: Mathematical Graphs
  18. Chapter 8: Mathematical Counting and Combinatorics
  19. Chapter 9: Discrete Probability in Mathematics
  20. Chapter 10: Recurrence Relations
  21. Bibliography
  22. Index
  23. Back Cover