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Exploring Mathematics

An Engaging Introduction to Proof

John Meier, Lafayette College, Pennsylvania, Derek Smith, Lafayette College, Pennsylvania
Textbook
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…
Frontmatter
pp i-iv
Dedication
pp v-vi
Contents
pp vii-x
Preface
pp xi-xvi
1 - Let's Play!
pp 1-24
2 - Discovering and Presenting Mathematics
pp 25-67
3 - Sets
pp 68-93
4 - The Integers and the Fundamental Theorem of Arithmetic
pp 94-110
5 - Functions
pp 111-140
6 - Relations
pp 141-163
7 - Cardinality
pp 164-183
8 - The Real Numbers
pp 184-208
9 - Probability and Randomness
pp 209-228
10 - Algebra and Symmetry
pp 229-249
11 - Projects
pp 250-281
Solutions, Answers, or Hints to In-Text Exercises
pp 282-317
Bibliography
pp 318-320
Index
pp 321-324
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Online ISBN: 9781316415917
Published online: 06 August 2018
Hardback ISBN: 9781107128989
Hardback publication date: 28 September 2017

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