Exploring Mathematics
eBook - PDF

Exploring Mathematics

An Engaging Introduction to Proof

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

Exploring Mathematics

An Engaging Introduction to Proof

About this book

Exploring Mathematics gives students experience with doing mathematics - interrogating mathematical claims, exploring definitions, forming conjectures, attempting proofs, and presenting results - and engages them with examples, exercises, and projects that pique their interest. Written with a minimal number of pre-requisites, this text can be used by college students in their first and second years of study, and by independent readers who want an accessible introduction to theoretical mathematics. Core topics include proof techniques, sets, functions, relations, and cardinality, with selected additional topics that provide many possibilities for further exploration. With a problem-based approach to investigating the material, students develop interesting examples and theorems through numerous exercises and projects. In-text exercises, with complete solutions or robust hints included in an appendix, help students explore and master the topics being presented. The end-of-chapter exercises and projects provide students with opportunities to confirm their understanding of core material, learn new concepts, and develop mathematical creativity.

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Yes, you can access Exploring Mathematics by John Meier,Derek Smith in PDF and/or ePUB format, as well as other popular books in Mathematics & Logic in Mathematics. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover
  2. Half title page
  3. Series page
  4. Title page
  5. Copyright page
  6. Dedication
  7. Contents
  8. Preface
  9. 1 Let's Play!
  10. 2 Discovering and Presenting Mathematics
  11. 3 Sets
  12. 4 The Integers and the Fundamental Theorem ofArithmetic
  13. 5 Functions
  14. 6 Relations
  15. 7 Cardinality
  16. 8 The Real Numbers
  17. 9 Probability and Randomness
  18. 10 Algebra and Symmetry
  19. 11 Projects
  20. Solutions, Answers, or Hints to In-Text Exercises
  21. Bibliography
  22. Index