Transition to Higher Mathematics Structure and Proof

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 stu...

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Bibliographic Details
Main Authors: Dumas, Bob A (Author), McCarthy, John E (Author)
Format: Electronic eBook
Language:English
Published: St. Louis, Missouri Open Scholarship 2015.
Edition:Second Edition
Series:Open textbook library.
Subjects:
Online Access:Access online version
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245 0 0 |a Transition to Higher Mathematics  |b Structure and Proof  |c Bob Dumas 
250 |a Second Edition 
264 2 |a Minneapolis, MN  |b Open Textbook Library 
264 1 |a St. Louis, Missouri  |b Open Scholarship  |c 2015. 
264 4 |c ©2015. 
300 |a 1 online resource 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
490 0 |a Open textbook library. 
505 0 |a Chapter 0. Introduction -- Chapter 1. Preliminaries -- Chapter 2. Relations -- Chapter 3. Proofs -- Chapter 4. Principle of Induction -- Chapter 5. Limits -- Chapter 6. Cardinality -- Chapter 7. Divisibility -- Chapter 8. The Real Numbers -- Chapter 9. Complex Numbers 
520 0 |a 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. 
542 1 |f Attribution 
546 |a In English. 
588 0 |a Description based on online resource 
650 0 |a Mathematics  |v Textbooks 
650 0 |a Proof  |v Textbooks 
700 1 |a Dumas, Bob A  |e author 
700 1 |a McCarthy, John E  |e author 
710 2 |a Open Textbook Library  |e distributor 
856 4 0 |u https://open.umn.edu/opentextbooks/textbooks/886  |z Access online version