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A Transition to Mathematics with Proofs

9781449627782

A Transition to Mathematics with Proofs

  • ISBN 13:

    9781449627782

  • ISBN 10:

    1449627781

  • Edition: 1st
  • Format: Hardcover
  • Copyright: 01/13/2012
  • Publisher: Jones & Bartlett Learning

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Summary

Developed for the "transition" course for mathematics majors moving beyond the primarily procedural methods of their calculus courses toward a more abstract and conceptual environment found in more advanced courses, A Transition to Mathematical Proofs emphasizes mathematical rigor and helps students learn how to develop and write mathematical proofs. The author takes great care to develop a text that is accessible and readable for students at all levels. It addresses standard topics such as set theory, number system, logic, relations, functions, and induction in at a pace appropriate for a wide range of readers. Throughout early chapters students gradually become aware of the need for rigor, proof, and precision, and mathematical ideas are motivated through examples.

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