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

William Barnier / Norman Feldman

Introduction to Advanced Mathematics, 2/e (IE-Paperback)
  • 出版商: Prentice Hall
  • 售價: $931
  • 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)

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商品描述

Description:

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.

商品描述(中文翻譯)

描述：
這是一本針對大學二年級學生的過渡課程教材，旨在為從微積分課程轉向更抽象的高階數學課程的學生提供背景知識。同樣適用於高年級課程的補充教材，如抽象代數或實分析。

該教材聚焦於「每個數學家需要知道的內容」，提供了學生在高階數學課程中取得成功所需的材料，更重要的是，提供了像數學家一樣思考所需的分析工具。它從基本邏輯、證明方法和集合論的自然進展開始，然後提供應用示例、定理和學生專題。

目錄：
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。

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