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Descripciones mejoradas de Syndetics:
This straightforward guide describes the main methods used to prove mathematical theorems. Shows how and when to use each technique such as the contrapositive, induction and proof by contradiction. Each method is illustrated by step-by-step examples. The Second Edition features new chapters on nested quantifiers and proof by cases, and the number of exercises has been doubled with answers to odd-numbered exercises provided. This text will be useful as a supplement in mathematics and logic courses. Prerequisite is high-school algebra.
Includes index.
Tabla de contenidos provista por Syndetics
- The Truth of It All
- The Forward-Backward Method
- On Definitions and Mathematical Terminology
- Quantifiers I: The Construction Method
- Quantifiers II: The Choose Method
- Quantifiers III: Induction
- Quantifiers IV: Specialization
- Quantifiers V: Nested Quantifiers
- The Contradiction Method
- The Contrapositive Method
- Nots of Nots Lead to Knots
- Special Proof Techniques
- Summary
- Appendices
- Solutions to Exercises
- Glossary of Mathematical Symbols
- Index