《探索数学：吸引人的证明方式（英文）》是一部版权引进自英国剑桥大学出版社的英文原版数学科普著作，中文书名可译为《探索数学：吸引入的证明方式》。
　　《探索数学：吸引人的证明方式（英文）》作者有两位，一位是约翰·迈耶（John Meier），拉斐特学院数学教授，他还曾在该校担任课程主任。他的研究集中在几何群理论，并涉及算法、组合、几何和拓扑中出现的无限群问题，除了获得康奈尔大学和拉斐特学院的教学奖之外，迈耶教授还自豪地获得了美国数学协会宾夕法尼亚州东部和特拉华州分校的詹姆斯·克劳福德教学奖。
　　另一位作者是德里克·史密斯（Derek Smith），他是拉斐特学院的数学副教授，他的研究重点是代数、组合和几何。他曾在美国和欧洲教授各种数学和其他学科的本科课程，他曾获得拉斐特学院的多个教学奖，其工作得到了美国数学协会和国家科学基金会的支持。史密斯教授是《数学地平线》问题版的前任编辑。

　　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

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