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Errett Bishop: Reflections on him and his research

Edited by: Murray Rosenblatt
Available Formats:
Electronic ISBN: 978-0-8218-7624-4
Product Code: CONM/39.E
List Price: $27.00 MAA Member Price:$24.30
AMS Member Price: $21.60 Click above image for expanded view Errett Bishop: Reflections on him and his research Edited by: Murray Rosenblatt Available Formats:  Electronic ISBN: 978-0-8218-7624-4 Product Code: CONM/39.E  List Price:$27.00 MAA Member Price: $24.30 AMS Member Price:$21.60
• Book Details

Contemporary Mathematics
Volume: 391985; 91 pp
MSC: Primary 01; Secondary 03;

This book is the proceedings of the Memorial Meeting for Errett Bishop, held at the University of California, San Diego, 24 September 1983.

During his early days as a mathematician, Errett Bishop made distinguished contributions in many branches of analysis—first in operator theory in Hilbert and Banach spaces, then in the theory of polynomial approximation in the complex plane and on Riemann surfaces, and thence to his outstanding research in function algebras. This work in turn led him to his highly original approach to the theory of functions of several complex variables.

About 1964 Bishop turned his interests toward the foundations of mathematics. Whereas L. E. J. Brouwer's intuitionism took as basic the integers and the real numbers, Bishop proposed that the integers are the only basic, irreducible mathematical construct. His remarkable 1968 book, “Foundations of Constructive Analysis”, was devoted to the development of a large part of modern analysis, suitably modified, on this one concept.

The object of the present book is to present a view of Errett Bishop, who died suddenly in 1983 at the age of 54, as a human being, a colleague, and a mathematician. An eloquent statement of his philosophy is contained in his paper, “Schizophrenia in Contemporary Mathematics”, which resulted from his AMS Colloquium Lectures in 1973 and which occupies about one-third of the book.

• Table of Contents

• Articles
• Errett A. Bishop - Schizophrenia in contemporary mathematics [ MR 788163 ]
• Stefan E. Warschawski - Errett Bishop—in memoriam [ MR 788164 ]
• John Wermer - The work of Errett Bishop on several complex variables [ MR 788165 ]
• J. L. Kelley - Recollections [ MR 788166 ]
• Halsey L. Royden - Aspects of constructive analysis [ MR 788167 ]
• I. Glicksberg - The work of Errett Bishop and uniform algebras [ MR 788168 ]
• Anil Nerode, George Metakides and Robert Constable - Remembrances of Errett Bishop [ MR 788169 ]
• G. Metakides, A. Nerode and R. A. Shore - Recursive Limits on the Hahn-Banach Theorem
• Requests

Review Copy – for reviewers who would like to review an AMS book
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Volume: 391985; 91 pp
MSC: Primary 01; Secondary 03;

This book is the proceedings of the Memorial Meeting for Errett Bishop, held at the University of California, San Diego, 24 September 1983.

During his early days as a mathematician, Errett Bishop made distinguished contributions in many branches of analysis—first in operator theory in Hilbert and Banach spaces, then in the theory of polynomial approximation in the complex plane and on Riemann surfaces, and thence to his outstanding research in function algebras. This work in turn led him to his highly original approach to the theory of functions of several complex variables.

About 1964 Bishop turned his interests toward the foundations of mathematics. Whereas L. E. J. Brouwer's intuitionism took as basic the integers and the real numbers, Bishop proposed that the integers are the only basic, irreducible mathematical construct. His remarkable 1968 book, “Foundations of Constructive Analysis”, was devoted to the development of a large part of modern analysis, suitably modified, on this one concept.

The object of the present book is to present a view of Errett Bishop, who died suddenly in 1983 at the age of 54, as a human being, a colleague, and a mathematician. An eloquent statement of his philosophy is contained in his paper, “Schizophrenia in Contemporary Mathematics”, which resulted from his AMS Colloquium Lectures in 1973 and which occupies about one-third of the book.

• Articles
• Errett A. Bishop - Schizophrenia in contemporary mathematics [ MR 788163 ]
• Stefan E. Warschawski - Errett Bishop—in memoriam [ MR 788164 ]
• John Wermer - The work of Errett Bishop on several complex variables [ MR 788165 ]
• J. L. Kelley - Recollections [ MR 788166 ]
• Halsey L. Royden - Aspects of constructive analysis [ MR 788167 ]
• I. Glicksberg - The work of Errett Bishop and uniform algebras [ MR 788168 ]
• Anil Nerode, George Metakides and Robert Constable - Remembrances of Errett Bishop [ MR 788169 ]
• G. Metakides, A. Nerode and R. A. Shore - Recursive Limits on the Hahn-Banach Theorem
Review Copy – for reviewers who would like to review an AMS book
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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