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Introduction to Mathematical Thinking [Pehme köide]

3.94/5 (896 hinnangut Goodreads-ist)
(St Mary's College California)
  • Formaat: Paperback / softback, 104 pages, kõrgus x laius x paksus: 224x150x10 mm, kaal: 159 g
  • Ilmumisaeg: 18-Jul-2012
  • Kirjastus: Keith Devlin
  • ISBN-10: 0615653634
  • ISBN-13: 9780615653631
Teised raamatud teemal:
Introduction to Mathematical ThinkingSuurem pilt
  • Formaat: Paperback / softback, 104 pages, kõrgus x laius x paksus: 224x150x10 mm, kaal: 159 g
  • Ilmumisaeg: 18-Jul-2012
  • Kirjastus: Keith Devlin
  • ISBN-10: 0615653634
  • ISBN-13: 9780615653631
Teised raamatud teemal:
Püsilink: https://www.kriso.ee/db/9780615653631.html
Märksõnad:
Preface iv
What this book is about vi
1 What is mathematics?
1(9)
1.1 More than arithmetic
1(2)
1.2 Mathematical notation
3(2)
1.3 Modern college-level mathematics
5(2)
1.4 Why do you have to learn this stuff?
7(3)
2 Getting precise about language
10(41)
2.1 Mathematical statements
11(4)
2.2 The logical combinators and or and not
15(8)
2.3 Implication
23(13)
2.4 Quantifiers
36(15)
3 Proofs
51(16)
3.1 What is a proof?
51(2)
3.2 Proof by contradiction
53(2)
3.3 Proving conditionals
55(3)
3.4 Proving quantified statements
58(2)
3.5 Induction proofs
60(7)
4 Proving results about numbers
67(18)
4.1 The integers
67(8)
4.2 The real numbers
75(2)
4.3 Completeness
77(4)
4.4 Sequences
81(4)
APPENDIX: Set theory 85(6)
Index 91