Discovering Higher Mathematics: Four Habits of Highly Effective Mathematicians

Hardcover | October 29, 1999

byAlan LevineEditorAlan Levine

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Funded by a National Science Foundation grant, Discovering Higher Mathematics emphasizes four main themes that are essential components of higher mathematics: experimentation, conjecture, proof, and generalization. The text is intended for use in bridge or transition courses designed to prepare students for the abstraction of higher mathematics. Students in these courses have normally completed the calculus sequence and are planning to take advanced mathematics courses such as algebra, analysis and topology. The transition course is taken to prepare students for these courses by introducing them to the processes of conjecture and proof concepts which are typically not emphasized in calculus, but are critical components of advanced courses. * Constructed around four key themes: Experimentation, Conjecture, Proof, and Generalization* Guidelines for effective mathematical thinking, covering a variety of interrelated topics* Numerous problems and exercises designed to reinforce the key themes

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From the Publisher

Funded by a National Science Foundation grant, Discovering Higher Mathematics emphasizes four main themes that are essential components of higher mathematics: experimentation, conjecture, proof, and generalization. The text is intended for use in bridge or transition courses designed to prepare students for the abstraction of higher ma...

From the Jacket

Discovering Higher Mathematics: Four Habits of Highly Effective Mathematiciansprovides an interactive transition to the abstraction of higher mathematics. Levine stresses the importance of four main themes (or habits), experimentation, conjecture, proof, and generalization, emphasizing them as processes critical to mathematical thinkin...

Alan Levine is a graduate of the State University of New York at Stony Brook with a degree in Operations Research and Applied Math. Since 1983 he has taught at Franklin and Marshall College. He is the co-author, with George Rosenstein, ofDiscovering Calculus.

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Format:HardcoverDimensions:174 pages, 9 × 6 × 0.98 inPublished:October 29, 1999Publisher:Academic Press

The following ISBNs are associated with this title:

ISBN - 10:0124454607

ISBN - 13:9780124454606

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Extra Content

Table of Contents

Preliminary Numbers
Numbers and Numerals
Polynomials and Complex Numbers
Combinatorics and Graph Theory
Difference Equations
Additional Topics