Cover

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Title Page, Copyright

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pp. i-v

Contents

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p. vii

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Acknowledgments

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pp. ix-x

This book would not have been possible without the consistent, intelligent, and enthusiastic support of the librarians at the Santa Fe Institute, Ms. Margaret Alexander and Mr. Timothy Taylor, and the commitment and clarity of thought and language of...

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Introduction

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pp. 1-8

This book, unlike most books on mathematics, is about mathematicians, their extraordinary passion for mathematics and their full complexity of being. We emphasize the social and emotional sides of mathematical life....

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1: Mathematical Beginnings; A Passion for Numbers

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pp. 9-45

In this chapter, we tell contrasting stories about the childhood, adolescence, and schooling, up through graduate school, of some future mathematicians, both famous and not so famous. We also report the experiences of youngsters in Olympiad competitions...

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2: Mathematical Culture

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pp. 46-88

Mathematicians constitute a community with a long, rich history. They recognize each other as fellow members of that community. What is the culture of mathematics and of the mathematical community?...

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3: Mathematics as Solace

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pp. 89-105

When looking at mathematical life, we usually focus on its public face: the institutions in which mathematicians work, their interactions within their communities, their jokes and eccentricities, their prizes and competitions, their breakthrough discoveries...

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4: Mathematics as an Addiction: Following Logic to the End

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pp. 106-137

The question is sometimes asked, To be a great mathematician, does being crazy help? The simple and straightforward answer is, No, of course not. Working in a university math department, or attending the meetings of the American Mathematical Society,...

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5: Friendships and Partnerships

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pp. 138-175

Do mathematicians have friends? The popular image of a mathematician is that of a solitary man, alone at his desk or blackboard. In this chapter, we will see how far from the truth this picture is. While the sustained concentration needed for mathematical...

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6: Mathematical Communities

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pp. 176-227

What sorts of communities do mathematicians form? How do their communities shape their lives? We will describe some informal groups, which were formed around specific needs of their participants. Whether inside or outside universities, communities...

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7: Gender and Age in Mathematics

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pp. 228-272

By the expression “a young man’s game” Hardy did not mean to exclude women. The famous British analyst Mary Cartwright was his student. In 1941, when Hardy wrote his Apology, normal usage was to write “man” either in the sense of “masculine” or...

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8: The Teaching of Mathematics: Fierce or Friendly?

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pp. 273-300

In the previous chapter we wrote about the impact of age and gender on the ways in which mathematicians develop and sustain their lives. We emphasized the importance of balance and social connections as sources of support when researchers face...

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9: Loving and Hating School Mathematics

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pp. 301-333

Mathematical life is an immersion in a world of endlessly varied forms and relations. The mathematician is challenged and tempted to commit all her energy and enthusiasm to learn and to understand. Mathematical thinking is also enjoyed by people...

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Conclusions

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pp. 334-338

We have completed our journey, our tour around various aspects of mathematical life. We looked at the beginnings of mathematical life for children and students. Then we studied some of its special features as a unique subculture of modern society....

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Review of the Literature

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pp. 339-347

The “popular” literature on mathematics is booming. Every year excellent new books are added to the shelves. There are books that intend to teach a particular branch of mathematics. Textbooks of course are a whole industry unto themselves. There...

Biographies

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pp. 349-384

Notes

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pp. 385-401

Index of Names

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pp. 403-409

General Index

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pp. 410-416