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Description

This book is written for students who have taken calculus and want to learn what “real mathematics" is. We hope you will find the material engaging and interesting, and that you will be encouraged to learn more advanced mathematics.

This is the second edition of our text. It is intended for students who have taken a calculus course, and are interested in learning what higher mathematics is all about. It can be used as a textbook for an "Introduction to Proofs" course, or for self-study.

Chapter 1: Preliminaries, Chapter 2: Relations, Chapter 3: Proofs, Chapter 4: Principles of Induction, Chapter 5: Limits, Chapter 6: Cardinality,
Chapter 7: Divisibility, Chapter 8: The Real Numbers,
Chapter 9: Complex Numbers. The last 4 chapters can also be used as independent introductions to four topics in mathematics: Cardinality; Divisibility; Real Numbers; Complex Numbers.

Document Type

Book

DOI

10.7936/K7Z899HJ

ISBN

978-1-941823-03-3

Publication Date

2-16-2015

Publisher

Washington University in St. Louis

City

Saint Louis, Missouri

Disciplines

Logic and Foundations | Mathematics | Other Mathematics

Comments

Copyright (c) 2015 Bob Dumas and John E. McCarthy.

Cover design by Thomas C. Moore, Washington University in St Louis, MFA '15.

CC BY-NC 4.0: This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

Permanent URL: http://dx.doi.org/10.7936/K7Z899HJ

Creative Commons License

Creative Commons Attribution 4.0 License
This work is licensed under a Creative Commons Attribution 4.0 License.

Transition to Higher Mathematics: Structure and Proof (Second Edition)

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