A Discrete Transition to Advanced Mathematics
eBook - PDF

A Discrete Transition to Advanced Mathematics

Second Edition

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

A Discrete Transition to Advanced Mathematics

Second Edition

About this book

This textbook bridges the gap between lower-division mathematics courses and advanced mathematical thinking. Featuring clear writing and appealing topics, the book introduces techniques for writing proofs in the context of discrete mathematics. By illuminating the concepts behind techniques, the authors create opportunities for readers to sharpen critical thinking skills and develop mathematical maturity.Beginning with an introduction to sets and logic, the book goes on to establish the basics of proof techniques. From here, chapters explore proofs in the context of number theory, combinatorics, functions and cardinality, and graph theory. A selection of extension topics concludes the book, including continued fractions, infinite arithmetic, and the interplay among Fibonacci numbers, Pascal's triangle, and the golden ratio.A Discrete Transition to Advanced Mathematics is suitable for an introduction to proof course or a course in discrete mathematics. Abundant examples and exercises invite readers to get involved, and the wealth of topics allows for course customization and further reading. This new edition has been expanded and modernized throughout. New features include a chapter on combinatorial geometry, a more in-depth treatment of counting, and over 365 new exercises.

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Yes, you can access A Discrete Transition to Advanced Mathematics by Bettina Richmond,Thomas Richmond 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.

Table of contents

  1. Contents
  2. Preface
  3. Preface to the Second Edition
  4. Chapter 1. Sets and Logic
  5. Chapter 2. Proofs
  6. Chapter 3. Number Theory
  7. Chapter 4. Combinatorics
  8. Chapter 5. Relations
  9. Chapter 6. Functions and Cardinality
  10. Chapter 7. Graph Theory
  11. Chapter 8. Sequences
  12. Chapter 9. Fibonacci Numbers and Pascal’s Triangle
  13. Chapter 10. Combinatorial Geometry in the Plane
  14. Chapter 11. Continued Fractions
  15. Answers or Hints for Selected Exercises
  16. Bibliography
  17. Index