Foundations of higher mathematics

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The authors assume that students using this text have already taken courses in which they developed the skill of using results and arguments that others have conceived. This text picks up where the others left off -- it develops the students ability to think mathematically and to distinguish mathematical thinking from wishful thinking.

Author(s): Peter Fletcher, C. Wayne Patty
Edition: 3rd
Publisher: Brooks Cole
Year: 1995

Language: English
Pages: 327
City: Pacific Grove, CA

1. The Logic and Language of Proofs
2. Sets
3. Mathematical Induction
4. Relations and Orders
5. Functions
6. Combinatorial Proofs
7. Countable and Uncountable Sets
8. Introduction to Groups
9. Foundations of Advanced Calculus
References / Selected Answers and Hints / Index