Transition to Higher Mathematics Structure and Proof

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Tác giả: Bob A Dumas, John E McCarthy

Ngôn ngữ: eng

ISBN-13: 978-1941823033

Ký hiệu phân loại: 511.3 Mathematical logic (Symbolic logic)

Thông tin xuất bản: St. Louis, Missouri Open Scholarship 2015

Mô tả vật lý: 1 online resource

Bộ sưu tập: Tài liệu truy cập mở

ID: 192442

 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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