Hardcover ISBN:  9780883855492 
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eBook ISBN:  9781470458546 
Product Code:  SPEC/42.E 
List Price:  $50.00 
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AMS Member Price:  $37.50 
Hardcover ISBN:  9780883855492 
eBook: ISBN:  9781470458546 
Product Code:  SPEC/42.B 
List Price:  $115.00 $90.00 
MAA Member Price:  $86.25 $67.50 
AMS Member Price:  $86.25 $67.50 
Hardcover ISBN:  9780883855492 
Product Code:  SPEC/42 
List Price:  $65.00 
MAA Member Price:  $48.75 
AMS Member Price:  $48.75 
eBook ISBN:  9781470458546 
Product Code:  SPEC/42.E 
List Price:  $50.00 
MAA Member Price:  $37.50 
AMS Member Price:  $37.50 
Hardcover ISBN:  9780883855492 
eBook ISBN:  9781470458546 
Product Code:  SPEC/42.B 
List Price:  $115.00 $90.00 
MAA Member Price:  $86.25 $67.50 
AMS Member Price:  $86.25 $67.50 

Book DetailsSpectrumVolume: 42; 2004; 277 pp
The anthology is a collection of articles contiguous to the humanities written by renowned mathematicians of the twentieth century. The articles cover a variety of topics that, for want of a better name, shall be referred to as humanistic. An important criterion, thereby limiting the choice, is that the articles should be accessible to the literate reader who may or may not have technical knowledge of mathematics.
The articles span roughly a century in time and a wide range in subject. They are by mathematicians acknowledged by their peers as outstanding creators whose work has added richly to the discipline. Each article is preceded by a brief biographical sketch of the author and a brief indication of the content. The material is accessible to a wide audience, lay as well as academic.

Table of Contents

Articles

Part I: Mathematics and the Intellect

Mathematics and Thinking Mathematically, Mary Cartwright

Mathematical Invention, Henri Poincaré

Thoughts on the Heuristic Method, Jacques Hadamard

Mathematical Proof, G. H. Hardy

The Unity of Knowledge, Hermann Weyl

Part II: Mathematics and Human Understanding

Mathematics and the Arts, Marston Morse

Intuition, Reason and Faith in Science, George David Birkhoff

Logic and the Understanding of Nature, David Hilbert

The Cultural Basis of Mathematics, Raymond Wilder

Part III: Mathematics and Society

Presidential Address to the British Association, J. J. Sylvester

The Mathematician, John von Neumann

The Community of Scholars, André Lichnerowicz

History of Mathematics: Why and How, André Weil

Part IV: Miscellaneous

Does God Exist?, Paul Lévy

Goethe and Mathematics, Wilhelm Maak

Leonardo and Mathematics, Francesco Severi

The Highest Good, Norbert Wiener


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The anthology is a collection of articles contiguous to the humanities written by renowned mathematicians of the twentieth century. The articles cover a variety of topics that, for want of a better name, shall be referred to as humanistic. An important criterion, thereby limiting the choice, is that the articles should be accessible to the literate reader who may or may not have technical knowledge of mathematics.
The articles span roughly a century in time and a wide range in subject. They are by mathematicians acknowledged by their peers as outstanding creators whose work has added richly to the discipline. Each article is preceded by a brief biographical sketch of the author and a brief indication of the content. The material is accessible to a wide audience, lay as well as academic.

Articles

Part I: Mathematics and the Intellect

Mathematics and Thinking Mathematically, Mary Cartwright

Mathematical Invention, Henri Poincaré

Thoughts on the Heuristic Method, Jacques Hadamard

Mathematical Proof, G. H. Hardy

The Unity of Knowledge, Hermann Weyl

Part II: Mathematics and Human Understanding

Mathematics and the Arts, Marston Morse

Intuition, Reason and Faith in Science, George David Birkhoff

Logic and the Understanding of Nature, David Hilbert

The Cultural Basis of Mathematics, Raymond Wilder

Part III: Mathematics and Society

Presidential Address to the British Association, J. J. Sylvester

The Mathematician, John von Neumann

The Community of Scholars, André Lichnerowicz

History of Mathematics: Why and How, André Weil

Part IV: Miscellaneous

Does God Exist?, Paul Lévy

Goethe and Mathematics, Wilhelm Maak

Leonardo and Mathematics, Francesco Severi

The Highest Good, Norbert Wiener