Transition to Advanced Mathematics / Edition 7by Douglas Smith
Pub. Date: 05/28/2010
Publisher: Cengage Learning
Successfully addressing the frustration many students feel as they make the transition from beginning calculus to a more rigorous level of mathematics, A Transition to Advanced Mathematics provides a firm foundation in the major ideas needed for continued work in the discipline. The authors guide students to think and to express themselves mathematicallyto analyze a situation, extract pertinent facts, and draw appropriate conclusions. With their proven approach, Smith, Eggen, and St. Andre introduce students to rigorous thinking about sets, relations, functions and cardinality. The text also includes introductions to modern algebra and analysis with sufficient depth to capture some of their spirit and characteristics.
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Table of Contents1. Logic and Proofs. 2. Set Theory. 3. Relations. 4. Functions. 5. Cardinality. 6. Concepts of Algebra: Groups. 7. Concepts of Analysis: Completeness of the Real Numbers. Answers to Exercises. Index. List Of Symbols.
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