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Mathematical Reasoning : Writing and Proof

Mathematical Reasoning : Writing and Proof - 03 edition

Mathematical Reasoning : Writing and Proof - 03 edition

ISBN13: 9780130618153

ISBN10: 0130618152

Mathematical Reasoning : Writing and Proof by Ted A. Sundstrom - ISBN 9780130618153
Cover type: Hardback
Edition: 03
Copyright: 2003
Publisher: Prentice Hall, Inc.
Published: 2003
International: No
Mathematical Reasoning : Writing and Proof by Ted A. Sundstrom - ISBN 9780130618153

ISBN13: 9780130618153

ISBN10: 0130618152

Cover type: Hardback
Edition: 03

List price: $103.00

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Summary

Focusing on the formal development of mathematics, this book demonstrates how to read and understand, write and construct mathematical proofs. It emphasizes active learning, and uses elementary number theory and congruence arithmetic throughout. Chapter content covers an introduction to writing in mathematics, logical reasoning, constructing proofs, set theory, mathematical induction, functions, equivalence relations, topics in number theory, and topics in set theory. For learners making the transition form calculus to more advanced mathematics.

Table of Contents

Table of Contents

1. Introduction to Writing in Mathematics.
2. Logical Reasoning.
3. Constructing Proofs.
4. Set Theory.
5. Mathematical Induction.
6. Functions.
7. Equivalence Relations.
8. Topics in Number Theory.
9. Topics in Set Theory.
A: Guidelines for Writing Mathematical Proofs.
B: Answers and Hints for Selected Exercises.

Other Editions of Mathematical Reasoning : Writing and Proof

Mathematical Reasoning Writing and Proof by Theodore Sundstrom - ISBN 9780131877184