Doing Mathematics: An Introduction To Proofs And Problem-solving by Steven GalovichDoing Mathematics: An Introduction To Proofs And Problem-solving by Steven Galovich

Doing Mathematics: An Introduction To Proofs And Problem-solving

bySteven Galovich

Paperback | July 7, 2006

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Prepare for success in mathematics with DOING MATHEMATICS: AN INTRODUCTION TO PROOFS AND PROBLEM SOLVING! By discussing proof techniques, problem solving methods, and the understanding of mathematical ideas, this mathematics text gives you a solid foundation from which to build while providing you with the tools you need to succeed. Numerous examples, problem solving methods, and explanations make exam preparation easy.
Title:Doing Mathematics: An Introduction To Proofs And Problem-solvingFormat:PaperbackDimensions:224 pages, 9.2 × 6.4 × 0.5 inPublished:July 7, 2006Publisher:Brooks ColeLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0495108162

ISBN - 13:9780495108160


Table of Contents

Chapter I. SOLVING PROBLEMS.1. How to Solve It.2. Understanding the Problem.Chapter II. THINKING LOGICALLY.3. Propositional Calculus.4. Sets.5. Predicates and Quantifiers.Chapter III. PROVING THEOREMS.6. Direct Proof.7. Indirect Proof.8. Mathematical Induction.9. Case Analysis.10. Attacking the Problem/Proof.11. Looking Back.Chapter IV. SETS AND RELATIONS.12. Sets and Set Operations.13. Relations.14. Functions.15. Equivalence Relations.16. Number Systems and Well-Defined Operations.17. The Real and Complex Numbers.Chapter V. CARDINALITY.18. Equinumerous Sets.19. Finite Sets.20. Denumerable Sets.21. Uncountable Sets.22. Cardinality and the Cantor-Bernstein Theorem.Chapter VI. DISCRETE STRUCTURES.23. Fundamental Combinatorial Principles.24. Permutations and Combinations.25. Binomial Coefficients and the Binomial Theorem.26. Recurrence Relations.27. Algebraic Properties of the Integers.Chapter VII. DOING MATHEMATICS.28. Controlling Your Thinking.29. Attitudes and Beliefs.30. Problems.