Mathematicians have pondered the psychology of the members of our tribe probably since mathematics was invented, but for certain since Hadamard’s *The Psychology of Invention in the Mathematical Field*. The editors asked two dozen prominent mathematicians (and one spouse thereof) to ruminate on what makes us different. The answers they got are thoughtful, interesting and thought-provoking.

Not all respondents addressed the question directly. Michael Atiyah reflects on the tension between truth and beauty in mathematics. T.W. Körner, Alan Schoenfeld and Hyman Bass chose to write, reflectively and thoughtfully, about teaching and learning. Others, including Ian Stewart and Jane Hawkins, write about the sociology of our community. Many of the contributions range into philosophy of mathematics and the nature of our thought processes. Any mathematician will find much of interest here.

Preface

**Part I: Who Are Mathematicians?**

Foreword to Who Are Mathematicians?

1. Mathematicians and Mathematics *Michael Aschbacher*

2. What Are Mathematicians Really Like? Observations of a Spouse *Pamela Aschbacher*

3. Mathematics: Arts and Science *Michael Atiyah*

4. A Mathematician’s Survival Guide *Peter G. Casazza*

5. We Are Different *Underwood Dudley*

6. The Naked Lecturer *T.W. Körner*

7. Through a Glass Darkly *Steven G. Krantz*

8. What’s a Nice Guy Like Me Doing in a Place Like This? *Alan H. Schoenfeld*

9. A Mathematician’s Eye View *Ian Stewart*

10. I am a Mathematician *V. S. Varadarajan*

**Part II: On Becoming a Mathematician**

Foreword to On Becoming a Mathematician

11. Mathematics and Teaching *Hyman Bass*

12. Who We Are and How We Got That Way? *Jonathan M. Borwein*

13. Social Class and Mathematical Values in the USA *Roger Cooke*

14. The Badly Taught High School Calculus Lesson and the Mathematical Journey It Led Me To *Keith Devlin*

15. The Psychology of Being a Mathematician *Sol Garfunkel*

16. Dynamics of Mathematical Groups *Jane Hawkins*

17. Mathematics, Art, Civilization *Yuri I. Manin*

18. Questions about Mathematics *Harold R. Parks*

19. A Woman Mathematician’s Journey *Mei-Chi Shaw*

**Part III: Why I Became a Mathematician**

Foreword to Why I Became a Mathematician

20. Why I Became a Mathematician: A Personal Account *Harold P. Boas*

21. Why I Became a Mathematician? *Aline Bonami*

22. Why I am a Mathematician *John P. D’Angelo*

23. Why I am a Mathematician *Robert E. Greene*

24. Why I am a Mathematician *Jenny Harrison*

25. Why I Became a Mathematician *Rodolfo H. Torres*