Introduction to Advanced Mathematics, 2/e (IE-Paperback)

William Barnier / Norman Feldman

  • 出版商: Prentice Hall
  • 售價: $950
  • 貴賓價: 9.5$903
  • 語言: 英文
  • 頁數: 338
  • 裝訂: Paperback
  • ISBN: 9867491939
  • ISBN-13: 9789867491930
  • 下單後立即進貨 (約5~7天)




For a one-quarter/semester, sophomore-level transitional (“bridge”) course that supplies background for students going from calculus to the more abstract, upper-division mathematics courses. Also appropriate as a supplement for junior-level courses such as abstract algebra or real analysis.

Focused on “What Every Mathematician Needs to Know,” this text provides material necessary for students to succeed in upper-division mathematics courses, and more importantly, the analytical tools necessary for thinking like a mathematician. It begins with a natural progression from elementary logic, methods of proof, and set theory, to relations and functions; then provides application examples, theorems, and student projects.


Table of Contents:

1. Introduction to Logic.

2. Methods of Proof.

3. Set Theory.

4. Cartesian Products and Functions.

5. Relations.

6. Cardinality.

7. Number Theory.

8. Rings and Integral Domains.

9. Limits and the Real Numbers.




1. 邏輯入門。
2. 證明方法。
3. 集合論。
4. 笛卡爾積和函數。
5. 關係。
6. 基數。
7. 數論。
8. 環和整域。
9. 極限和實數。