Mathematical Conversations

1. Front Matter

   Pages i-vii

   PDF

2. Introduction

   1. Introduction

      • Jeremy Gray, Robin Wilson

      Pages 1-5

3. Interviews and Reminiscences

   1. Front Matter

      Pages 7-7

      PDF

   2. An Interview with Michael Atiyah

      • Roberto Minio

      Pages 9-22

   3. On the Steps of Moscow University

      • Steve Smale

      Pages 23-31

   4. An Interview with Jean-Pierre Serre

      • C. T. Chong, Y. K. Leong

      Pages 32-38

   5. Mathematical Anecdotes

      • Steven G. Krantz

      Pages 39-48

   6. My Collaboration with Julia Robinson

      • Yuri Matijasevich

      Pages 49-60

   7. C.N. Yang and Contemporary Mathematics

      • D. Z. Zhang

      Pages 61-73

4. Algebra and Number Theory

   1. Front Matter

      Pages 75-75

      PDF

   2. The Proof of the Mordell Conjecture

      • Spencer Bloch

      Pages 77-86

   3. Adventures In Arithmetick, or: How to Make Good Use of a Fourier Transform

      • R. C. Vaughan

      Pages 87-101

   4. Solving Polynomial Systems

      • Tien-Yien Li

      Pages 102-112

   5. Artin’s Conjecture for Primitive Roots

      • M. Ram Murty

      Pages 113-127

   6. Representation Theory of Finite Groups: from Frobenius to Brauer

      • Charles W. Curtis

      Pages 128-141

   7. Quaternionic Determinants

      • Helmer Aslaksen

      Pages 142-156

5. Analysis

   1. Front Matter

      Pages 157-157

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   2. The Surfaces of Delaunay

      • James Eells

      Pages 159-165

   3. The Banach-Tarski Theorem

      • Robert M. French

      Pages 166-174

   4. Painlevé’s Conjecture

      • Florin N. Diacu

      Pages 175-184

• Algebra
• Applied Mathematics
• Arithmetic
• Finite
• History of Mathematics
• Manifold
• Topology
• calculus
• geometry
• mathematics
• proof
• theorem

"Popular mathematical expositions aim to render exciting, deep mathematics comprehensible to a wide audience (hard!). Since even professional mathematicians can expect to penetrate the technicalities of only a small fraction of mathematical breakthroughs, publications such as The Mathematical Intelligencer, the Bulletin of the American Mathematical Society, Sugaku, and LÉnseignement Mathmatique (Mathematique) address themselves to at least a wide audience of mathematicians. The Mathematical Intelligencer publishes stylish, well-illustrated articles, rich in ideas and usually short on proofs. The balance of topics reflects the broad spectrum of mathematical activity, and especially, great recent achievements (the Mordell conjecture, the Bieberbach conjecture, the Jones polynomial). Many, but not all articles fall within the reach of the advanced undergraduate mathematics major. For example, every student of advanced calculus should read Felipe Acker's essay on Stokes's theorem and the mean value theorem. This book makes a nice addition to any undergraduate mathematics collection that does not already sport back issues of The Mathematical Intelligencer. Upper-division undergraduates and up."
D.V. Feldman, University of New Hampshire in CHOICE Reviews, June 2001

• Faculty of Mathematics and Computing, The Open University, Milton Keynes, UK

  Robin Wilson, Jeremy Gray

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