Book contents
- Frontmatter
- Contents
- Preface
- I Study skills for mathematicians
- II How to think logically
- III Definitions, theorems and proofs
- IV Techniques of proof
- 20 Techniques of proof I: Direct method
- 21 Some common mistakes
- 22 Techniques of proof II: Proof by cases
- 23 Techniques of proof III: Contradiction
- 24 Techniques of proof IV: Induction
- 25 More sophisticated induction techniques
- 26 Techniques of proof V: Contrapositive method
- V Mathematics that all good mathematicians need
- VI Closing remarks
- Appendices
- Index
22 - Techniques of proof II: Proof by cases
from IV - Techniques of proof
- Frontmatter
- Contents
- Preface
- I Study skills for mathematicians
- II How to think logically
- III Definitions, theorems and proofs
- IV Techniques of proof
- 20 Techniques of proof I: Direct method
- 21 Some common mistakes
- 22 Techniques of proof II: Proof by cases
- 23 Techniques of proof III: Contradiction
- 24 Techniques of proof IV: Induction
- 25 More sophisticated induction techniques
- 26 Techniques of proof V: Contrapositive method
- V Mathematics that all good mathematicians need
- VI Closing remarks
- Appendices
- Index
Summary
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- Chapter
- Information
- How to Think Like a MathematicianA Companion to Undergraduate Mathematics, pp. 155 - 160Publisher: Cambridge University PressPrint publication year: 2009