2014;
224 pp;
Softcover

MSC: Primary 01;

Print ISBN: 978-1-4704-1699-7

Product Code: MBK/86

List Price: $29.00

Individual Member Price: $23.20

**Electronic ISBN: 978-1-4704-1934-9
Product Code: MBK/86.E**

List Price: $29.00

Individual Member Price: $23.20

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#### Supplemental Materials

# ARNOLD: Swimming Against the Tide

Share this page *Edited by *
*Boris A. Khesin; Serge L. Tabachnikov*

Vladimir Arnold, an eminent mathematician of our time, is known both for his mathematical results, which are many and prominent, and for his strong opinions, often expressed in an uncompromising and provoking manner. His dictum that “Mathematics is a part of physics where experiments are cheap” is well known.

This book consists of two parts: selected articles by and an interview with Vladimir Arnold, and a collection of articles about him written by his friends, colleagues, and students. The book is generously illustrated by a large collection of photographs, some never before published. The book presents many a facet of this extraordinary mathematician and man, from his mathematical discoveries to his daredevil outdoor adventures.

#### Table of Contents

# Table of Contents

## ARNOLD: Swimming Against the Tide

- Cover Cover11
- Epigraph v6
- Contents vii8
- Preface ix10
- Permissions and Acknowledgments xiii14
- Chapter 1. Arnold in his own words 320
- Chapter 2. From Hilbert’s superposition problem to dynamical systems 1128
- Chapter 3. Recollections 3148
- Chapter 4. Polymathematics: Is mathematics a single science or a set of arts? 3552
- Chapter 5. A mathematical trivium 4764
- Chapter 6. Comments on “A Mathematical Trivium” 5766
- Chapter 7. About Vladimir Abramovich Rokhlin 6776
- Photo Section I: 1940s-1970s 7988
- Photo Section II: 1980s–1990s 8796
- Photo Section III: 2000s 99108
- Chapter 8. To whom it may concern 113122
- Chapter 9. Remembering Vladimir Arnold: Early years 123132
- Chapter 10. Vladimir I. Arnold 127136
- Chapter 11. Memories of Vladimir Arnold 129138
- Chapter 12. Dima Arnold in my life 133142
- Chapter 13. V. I. Arnold, as I have seen him 141150
- Chapter 14. My encounters with Vladimir Igorevich Arnold 147156
- Chapter 15. On V. I. Arnold and hydrodynamics 151160
- Chapter 16. Arnold’s seminar, first years 157166
- Chapter 17. Topology in Arnold’s work 165174
- Chapter 18. Arnold and symplectic geometry 173182
- Chapter 19. Some recollections of Vladimir Igorevich 179188
- Chapter 20. Remembering V. I. Arnold 183192
- Chapter 21. Several thoughts about Arnold 187196
- Chapter 22. Vladimir Igorevich Arnold: A view from the rear bench 197206

#### Readership

Mathematicians of all levels: teachers, researchers, graduate and undergraduate students, and other scientists interested in the recent history and ideology of mathematics.