Mathematical Thinking and Writing - 1st Edition - ISBN: 9780080496474

Mathematical Thinking and Writing

1st Edition

A Transition to Higher Mathematics

Authors: Randall Maddox
eBook ISBN: 9780080496474
Imprint: Academic Press
Published Date: 24th July 2001
Page Count: 304
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Description

The ability to construct proofs is one of the most challenging aspects of the world of mathematics. It is, essentially, the defining moment for those testing the waters in a mathematical career. Instead of being submerged to the point of drowning, readers of Mathematical Thinking and Writing are given guidance and support while learning the language of proof construction and critical analysis.

Randall Maddox guides the reader with a warm, conversational style, through the task of gaining a thorough understanding of the proof process, and encourages inexperienced mathematicians to step up and learn how to think like a mathematician. A student's skills in critical analysis will develop and become more polished than previously conceived. Most significantly, Dr. Maddox has the unique approach of using analogy within his book to clarify abstract ideas and clearly demonstrate methods of mathematical precision.

Readership

Mathematicians and computer science professionals.

Table of Contents

Notation and Assumptions; Section I: Foundations of Logic and Proof Writing; Ch 1. Logic; Ch 2. Beginner-Level Proofs; Ch. 3 Functions; Section II: Basic Principles of Analysis; Ch 4. The Real Numbers; Ch 5. Functions of a Real Variable; Section III: Basic Principles of Aglebra; Ch 6. Groups; Ch 7. Rings; Index

Details

No. of pages:
304
Language:
English
Copyright:
© Academic Press 2002
Published:
Imprint:
Academic Press
eBook ISBN:
9780080496474

About the Author

Randall Maddox

Affiliations and Expertise

Pepperdine University, Malibu, CA, USA