Essays in constructive mathematics / Harold M. Edwards.
"This book aims to promote constructive mathematics not by defining it or formalizing it, but by practicing it, by basing all definitions and proofs on finite algorithms. The topics covered derive from classic works of nineteenth-century mathematics, among them Galois's theory of algebraic...
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| Main Author: | |
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| Format: | Book |
| Language: | English |
| Published: |
New York :
Springer,
[2005]
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| Subjects: |
| Summary: | "This book aims to promote constructive mathematics not by defining it or formalizing it, but by practicing it, by basing all definitions and proofs on finite algorithms. The topics covered derive from classic works of nineteenth-century mathematics, among them Galois's theory of algebraic equations, Gauss's theory of binary quadratic forms, and Abel's theorem about integrals of rational differentials on algebraic curves. Other topics covered include the fundamental theorem of algebra, the factorization of polynomials over an algebraic number field, and the spectral theorem for symmetric matrices."--BOOK JACKET. |
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| Physical Description: | xix, 211 pages : illustrations ; 24 cm |
| Bibliography: | Includes bibliographical references (pages 205-208) and index. |
| ISBN: | 0387219781 9780387219783 |