Nguồn ngoài

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 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.

Tác giả

Bob Dumas; John McCarthy

Nhà xuất bản

Open Scholarship

Năm

2015

ISBN

9781941823033

Nguồn

Open Textbook Library

Giấy phép

CC BY

Ngôn ngữ

EN

Danh mục

Khoa học cơ bản