探索數(shù)學(xué)：吸引人的證明方式（英文）
定 價：58 元
叢書名：國外優(yōu)秀數(shù)學(xué)著作原版系列
- 作者：[美] 約翰·邁耶（John Meier） 著
- 出版時間：2021/1/1
- ISBN：9787560391724
- 出 版 社：哈爾濱工業(yè)大學(xué)出版社
- 中圖法分類：O1-49
- 頁碼：359
- 紙張：膠版紙
- 版次：1
- 開本：16開
《探索數(shù)學(xué)：吸引人的證明方式（英文）》是一部版權(quán)引進(jìn)自英國劍橋大學(xué)出版社的英文原版數(shù)學(xué)科普著作，中文書名可譯為《探索數(shù)學(xué)：吸引入的證明方式》。
《探索數(shù)學(xué)：吸引人的證明方式（英文）》作者有兩位，一位是約翰·邁耶（John Meier），拉斐特學(xué)院數(shù)學(xué)教授，他還曾在該校擔(dān)任課程主任。他的研究集中在幾何群理論，并涉及算法、組合、幾何和拓?fù)渲谐霈F(xiàn)的無限群問題，除了獲得康奈爾大學(xué)和拉斐特學(xué)院的教學(xué)獎之外，邁耶教授還自豪地獲得了美國數(shù)學(xué)協(xié)會賓夕法尼亞州東部和特拉華州分校的詹姆斯·克勞福德教學(xué)獎。
另一位作者是德里克·史密斯（Derek Smith），他是拉斐特學(xué)院的數(shù)學(xué)副教授，他的研究重點(diǎn)是代數(shù)、組合和幾何。他曾在美國和歐洲教授各種數(shù)學(xué)和其他學(xué)科的本科課程，他曾獲得拉斐特學(xué)院的多個教學(xué)獎，其工作得到了美國數(shù)學(xué)協(xié)會和國家科學(xué)基金會的支持。史密斯教授是《數(shù)學(xué)地平線》問題版的前任編輯。
Mathematics is a fascinating discipline that calls for creativity， imagination， and the mastery of rigorous standards of proof. This book introduces students to these facets of the field in a problem-focused setting. For over a decade， we and many others have used draft chapters of Exploring Mathematics as the primary text for Lafayette's Transition to Theoretical Mathematics course. Our collective experience shows that this approach assists students in their transition from primarily computational classes toward more advanced mathematics， and it encourages them to continue along this path by demonstrating that while mathematics can at times be challenging， it is also very enjoyable.
Preface
1 Let's Play！
1．1 A Direct Approach
1．2 Fibonacci Numbers and the Golden Ratio
1．3 Inductive Reasoning
1．4 Natural Numbers and Divisibility
1．5 The Primes
1．6 The Integers
1．7 The Rationals， the Reals， and the Square Root of 2
1．8 End-of-Chapter Exercises
2 Discovering and Presenting Mathematics
2．1 Truth， Tabulated
2．2 Valid Arguments and Direct Proofs
2．3 Proofs by Contradiction
2．4 Converse and Contrapositive
2．5 Quantifiers
2．6 Induction
2．7 Ubiquitous Terminology
2．8 The Process of Doing Mathematics
2．9 Writing Up Your Mathematics
2．10 End-of-Chapter Exercises
3 Sets
3．1 Set Builder Notation
3．2 Sizes and Subsets
3．3 Union， Intersection， Difference， and Complement
3．4 Many Laws and a Few Proofs
3．5 Indexing
3．6 Cartesian Product
3．7 Power
3．8 Counting Subsets
3．9 A Curious Set
3．10 End-of-Chapter Exercises
4 The Integers and the Fundamental Theorem of Arithmetic
4．1 The Well-Ordering Principle and Criminals
4．2 Integer Combinations and Relatively Prime Integers
4．3 The Fundamental Theorem of Arithmetic
4．4 LCM and GCD
4．5 Numbers and Closure
4．6 End-of-Chapter Exercises
……
5 Functions
6 Relations
7 Cardinahty
8 The Real Numbers
9 Probability and Randomness
10 Algebra and Symmetry
11 Projects
編輯手記
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