Ebook: PAUL HALMOS Celebrating 50 Years of Mathematics
- Tags: Mathematics general
- Year: 1991
- Publisher: Springer-Verlag New York
- Edition: 1
- Language: English
- pdf
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.
Content:
Front Matter....Pages i-viii
Front Matter....Pages 1-1
Paul Halmos by Parts....Pages 3-4
Part I: Maverick Mathologist....Pages 5-20
Part II: In Touch with God....Pages 21-32
Paul Halmos’s Expository Writing....Pages 33-48
Paul Halmos: Words More than Numbers....Pages 49-59
Bibliography of Paul Halmos....Pages 61-69
Front Matter....Pages 71-71
Paul Halmos: Through the Years....Pages 72-74
Paul Halmos as Graduate Student....Pages 75-78
Early Days at Mathematical Reviews....Pages 79-86
Reminiscences....Pages 87-89
Writing Mathematics....Pages 91-96
Some Early Memories Around Paul Halmos....Pages 97-102
Recollections of P.R. Halmos at Chicago....Pages 103-107
Reminiscences of Chicago in the Fifties....Pages 109-118
Reflections on Graduate Education....Pages 119-125
Michigan Years....Pages 127-131
Walking and Talking with Halmos....Pages 133-142
Being Professional....Pages 143-148
Reflections of a Department Chair....Pages 149-152
Front Matter....Pages 153-153
Paul Halmos and the Progress of Operator Theory....Pages 155-167
Front Matter....Pages 153-153
Characteristic Classes and Characteristic Forms....Pages 169-177
Equivalents of the Invariant Subspace Problem....Pages 179-188
Probability vs. Measure....Pages 189-193
New Hilbert Spaces from Old....Pages 195-204
Some Universal Constraints for Discrete M?bius Groups....Pages 205-220
Noncommutative Variations on Theorems of Marcel Riesz and Others....Pages 221-236
On Products of Involutions....Pages 237-255
Paul Halmos and Toeplitz Operators....Pages 257-263
Lebesgue’s “Fundamental Theorem of Calculus ” Revisited....Pages 265-285
Mathematics from Fun & Fun from Mathematics: An Informal Autobiographical History of Combinatorial Games....Pages 287-295
Quantification Theory in a Nutshell....Pages 297-304
The Legendre Relation for Elliptic Integrals....Pages 305-315
Back Matter....Pages 317-320
Content:
Front Matter....Pages i-viii
Front Matter....Pages 1-1
Paul Halmos by Parts....Pages 3-4
Part I: Maverick Mathologist....Pages 5-20
Part II: In Touch with God....Pages 21-32
Paul Halmos’s Expository Writing....Pages 33-48
Paul Halmos: Words More than Numbers....Pages 49-59
Bibliography of Paul Halmos....Pages 61-69
Front Matter....Pages 71-71
Paul Halmos: Through the Years....Pages 72-74
Paul Halmos as Graduate Student....Pages 75-78
Early Days at Mathematical Reviews....Pages 79-86
Reminiscences....Pages 87-89
Writing Mathematics....Pages 91-96
Some Early Memories Around Paul Halmos....Pages 97-102
Recollections of P.R. Halmos at Chicago....Pages 103-107
Reminiscences of Chicago in the Fifties....Pages 109-118
Reflections on Graduate Education....Pages 119-125
Michigan Years....Pages 127-131
Walking and Talking with Halmos....Pages 133-142
Being Professional....Pages 143-148
Reflections of a Department Chair....Pages 149-152
Front Matter....Pages 153-153
Paul Halmos and the Progress of Operator Theory....Pages 155-167
Front Matter....Pages 153-153
Characteristic Classes and Characteristic Forms....Pages 169-177
Equivalents of the Invariant Subspace Problem....Pages 179-188
Probability vs. Measure....Pages 189-193
New Hilbert Spaces from Old....Pages 195-204
Some Universal Constraints for Discrete M?bius Groups....Pages 205-220
Noncommutative Variations on Theorems of Marcel Riesz and Others....Pages 221-236
On Products of Involutions....Pages 237-255
Paul Halmos and Toeplitz Operators....Pages 257-263
Lebesgue’s “Fundamental Theorem of Calculus ” Revisited....Pages 265-285
Mathematics from Fun & Fun from Mathematics: An Informal Autobiographical History of Combinatorial Games....Pages 287-295
Quantification Theory in a Nutshell....Pages 297-304
The Legendre Relation for Elliptic Integrals....Pages 305-315
Back Matter....Pages 317-320
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