Electronic ISBN:  9780821876244 
Product Code:  CONM/39.E 
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Book DetailsContemporary MathematicsVolume: 39; 1985; 91 ppMSC: 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 onethird 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 HahnBanach Theorem


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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 onethird 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 HahnBanach Theorem