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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
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
Recommended Citation
Dumas, B.A. & McCarthy, J.E. (2014). Transition to higher mathematics: Structure and proof (2nd ed.) [PDF]. doi: http://dx.doi.org/10.7936/K7Z899HJ
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