PAUL HALMOS Celebrating 50 Years of Mathematics

1. Front Matter

   Pages i-viii

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2. Mathematician, Writer, and Editor

   1. Front Matter

      Pages 1-1

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   2. Paul Halmos by Parts

      • Donald J. Albers

      Pages 3-4

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   3. Part I: Maverick Mathologist

      • John H. Ewing, F. W. Gehring

      Pages 5-20

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   4. Part II: In Touch with God

      • John H. Ewing, F. W. Gehring

      Pages 21-32

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   5. Paul Halmos’s Expository Writing

      • Leonard Gillman

      Pages 33-48

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   6. Paul Halmos: Words More than Numbers

      • W. M. Priestley

      Pages 49-59

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   7. Bibliography of Paul Halmos

      • John H. Ewing, F. W. Gehring

      Pages 61-69

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3. The Way It Was

   1. Front Matter

      Pages 71-71

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   2. Paul Halmos: Through the Years

      • John H. Ewing, F. W. Gehring

      Pages 72-74

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   3. Paul Halmos as Graduate Student

      • Warren Ambrose

      Pages 75-78

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   4. Early Days at Mathematical Reviews

      • R. P. Boas

      Pages 79-86

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   5. Reminiscences

      • Irving Kaplansky

      Pages 87-89

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   6. Writing Mathematics

      • J. L. Kelley

      Pages 91-96

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   7. Some Early Memories Around Paul Halmos

      • Hans Samelson

      Pages 97-102

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   8. Recollections of P.R. Halmos at Chicago

      • E. H. Spanier

      Pages 103-107

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   9. Reminiscences of Chicago in the Fifties

      • Morris W. Hirsch

      Pages 109-118

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   10. Reflections on Graduate Education

       • Rob Kirby

       Pages 119-125

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   11. Michigan Years

       • R. G. Douglas

       Pages 127-131

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   12. Walking and Talking with Halmos

       • Lawrence J. Wallen

       Pages 133-142

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Paul Halmos will celebrate his 75th birthday on the 3rd of March 1991. This volume, from colleagues, is an expression of affection for the man and respect for his contributions as scholar, writer, and teacher. It contains articles about Paul, about the times in which he worked and the places he has been, and about mathematics. Paul has furthered his profession in many ways and this collection reflects that diversity. Articles about Paul are not biographical, but rather tell about his ideas, his philosophy, and his style. Articles about the times and places in which Paul has worked describe people, events, and ways in which Paul has influenced students and colleagues over the past 50 years. Articles about mathematics are about all kinds of mathematics, including operator theory and Paul's research in the subject. This volume represents a slice of mathematical life and it shows how many parts of mathematics Paul has touched. It is fitting that this volume has been produced with the support and cooperation of Springer-Verlag. For over 35 years, Paul has contributed to mathematics publishing as founder and editor of many outstanding series.

• Invariant
• Mathematica
• integral
• mathematics
• operator
• operator theory
• philosophy
• theorem

• Department of Mathematics, Indiana University, Bloomington, USA

  John H. Ewing

• Department of Mathematics, University of Michigan, Ann Arbor, USA

  F. W. Gehring

Policies and ethics