Reading, Writing, and Proving pdf epub mobi txt 電子書 下載2025
- 數學
- Math
- 證明
- 計算機
- 英文
- math
- UTM
- Career
- 數學教育
- 數學思維
- 證明方法
- 寫作技巧
- 閱讀理解
- 高等數學
- 邏輯推理
- 數學寫作
- 問題解決
- 學習方法
具體描述
This book, which is based on Polya's method of problem solving, aids students in their transition from calculus (or precalculus) to higher-level mathematics. The book begins by providing a great deal of guidance on how to approach definitions, examples, and theorems in mathematics. It ends by providing projects for independent study. Students will follow Polya's four step process: learn to understand the problem; devise a plan to solve the problem; carry out that plan; and look back and check what the results told them. Special emphasis is placed on reading carefully and writing well. The authors have included a wide variety of examples, exercises with solutions, problems, and over 40 illustrations, chosen to emphasize these goals. Historical connections are made throughout the text, and students are encouraged to use the rather extensive bibliography to begin making connections of their own. While standard texts in this area prepare students for future courses in algebra, this book also includes chapters on sequences, convergence, and metric spaces for those wanting to bridge the gap between the standard course in calculus and one in analysis.
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