Transition to Higher Mathematics: Structure and Proof - Second Edition

by Bob A Dumas - Author / John E McCarthy

PDF

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.

Description from Open Textbook Library.

Publisher
Open Scholarship
Year
2015
Subjects
Mathematics - Proof, Mathematics - Pure
Licence
Attribution, as Open Textbook Library states it
Who can read
Tweens profiles and older, judged from its title and subjects