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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| Main Authors: | , |
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| Format: | Electronic eBook |
| Language: | English |
| Published: |
St. Louis, Missouri
Open Scholarship
2015.
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| Edition: | Second Edition |
| Series: | Open textbook library.
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| Subjects: | |
| Online Access: | Access online version |
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| Summary: | 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. |
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| Physical Description: | 1 online resource |
| ISBN: | 9781941823033 |