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by Saul Stahl

Edition: 97Copyright: 1997

Publisher: John Wiley & Sons, Inc.

Published: 1997

International: No

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Much of modern algebra has its roots in the solvability of equations by radicals. This look at the history of algebra follows a paper trail from the Renaissance solution of the cubic equation to Galois' description of his ideas. All important concepts are placed in their historical context.

**Stahl, Saul : University of Kansas Main Campus**

Saul Stahl, PhD, is Professor of Mathematics at the University of Kansas and a former systems programmer for IBM. He received his MA from the University of California, Berkeley, and his PhD from Western Michigan University. His main field of expertise is combinatorics. In 1986 he received the Carl A. Allendoerfer Award for excellence in expository writing from the Mathematical Association of America.

The Early History.

Complex Numbers.

Solutions of Equations.

Modular Arithmetic.

The Binomial Theorem and Modular Powers.

Polynomials Over a Field.

Galois Fields.

Permutations.

Groups.

Quotient Groups and Their Uses.

Topics in Elementary Group Theory.

Appendices.

Biographies.

Bibliography.

Solutions to Selected Odd Exercises.

Symbols.

Pronounciation Guide.

Index.

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Summary

Much of modern algebra has its roots in the solvability of equations by radicals. This look at the history of algebra follows a paper trail from the Renaissance solution of the cubic equation to Galois' description of his ideas. All important concepts are placed in their historical context.

Author Bio

**Stahl, Saul : University of Kansas Main Campus**

Saul Stahl, PhD, is Professor of Mathematics at the University of Kansas and a former systems programmer for IBM. He received his MA from the University of California, Berkeley, and his PhD from Western Michigan University. His main field of expertise is combinatorics. In 1986 he received the Carl A. Allendoerfer Award for excellence in expository writing from the Mathematical Association of America.

Table of Contents

The Early History.

Complex Numbers.

Solutions of Equations.

Modular Arithmetic.

The Binomial Theorem and Modular Powers.

Polynomials Over a Field.

Galois Fields.

Permutations.

Groups.

Quotient Groups and Their Uses.

Topics in Elementary Group Theory.

Appendices.

Biographies.

Bibliography.

Solutions to Selected Odd Exercises.

Symbols.

Pronounciation Guide.

Index.

Publisher Info

Publisher: John Wiley & Sons, Inc.

Published: 1997

International: No

Published: 1997

International: No

**Stahl, Saul : University of Kansas Main Campus**

Saul Stahl, PhD, is Professor of Mathematics at the University of Kansas and a former systems programmer for IBM. He received his MA from the University of California, Berkeley, and his PhD from Western Michigan University. His main field of expertise is combinatorics. In 1986 he received the Carl A. Allendoerfer Award for excellence in expository writing from the Mathematical Association of America.

The Early History.

Complex Numbers.

Solutions of Equations.

Modular Arithmetic.

The Binomial Theorem and Modular Powers.

Polynomials Over a Field.

Galois Fields.

Permutations.

Groups.

Quotient Groups and Their Uses.

Topics in Elementary Group Theory.

Appendices.

Biographies.

Bibliography.

Solutions to Selected Odd Exercises.

Symbols.

Pronounciation Guide.

Index.