A Transition to Advanced Mathematics

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Brooks/Cole, 1997 - Mathematics - 344 pages
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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 mathematically--to 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, optional functions and cardinality, and present introductions to modern algebra and analysis with sufficient depth to capture some of their spirit and characteristics. Addressing the needs of different students, A Transition to Advanced Mathematics includes exercises of varying difficulty for each section and provides worked-out answers to selected problems. With its straightforward style, logical topic sequence, exceptionally clear writing, well-chosen examples, illustrations, and historical notes, this unparalleled text will improve mathematical fashion, thereby giving your students a solid understanding of the material most useful for advanced courses.

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Contents

Logic and Proofs
1
SetTheory
59
Relations
115
Copyright

7 other sections not shown

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About the author (1997)

The authors are the leaders in this course area. They decided to write this text based upon a successful transition course that Richard St. Andre developed at Central Michigan University in the early 1980s. This was the first text on the market for a transition to advanced mathematics course and it has remained at the top as the leading text in the market. Douglas Smith is Professor of Mathematics at the University of North Carolina at Wilmington. Dr. Smith's fields of interest include Combinatorics / Design Theory (Team Tournaments, Latin Squares, and applications), Mathematical Logic, Set Theory, and Collegiate Mathematics Education.

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