Discovering Higher Mathematics: Four Habits of Highly Effective Mathematicians / Edition 1

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Overview

Discovering Higher Mathematics: Four Habits of Highly Effective Mathematicians provides 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 thinking.
The book presents elementary topics such as number theory, polynomials, combinatorics, and discrete mathematics as useful tools for learning the four main themes. The author encourages experimentation and derivation of results through a series of guided lessons.
Key Features
• 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

Audience: Undergraduate mathematics majors.

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Product Details

  • ISBN-13: 9780124454606
  • Publisher: Elsevier Science
  • Publication date: 10/1/1999
  • Edition description: New Edition
  • Edition number: 1
  • Pages: 174
  • Product dimensions: 0.56 (w) x 9.00 (h) x 6.00 (d)

Meet the Author

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, of Discovering Calculus.

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Table of Contents

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

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