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## Student Mathematical Library, Volume 35: Galois Theory for Beginners: A Historical Perspective (Softcover)"This book is suitable for undergraduates and beginning graduate students." — From the back cover ## $20.95 |

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Please contact us if you've got questions about this product.## Condition

**LIKE NEW:** This book is in excellent, like-new condition and is printed on acid-free paper.

## Description

From the back cover: “Galois theory is the culmination of a centuries-long search for a solution to the classical problem of solving algebraic equations by radicals. In this book, Bewersdorff follows the historical development of the theory, emphasizing concrete examples along the way. As a result, many mathematical abstractions are now seen as the natural consequence of particular investigations.

“Few prerequisites are needed beyond general collect mathematics, since the ncessary ideas and properties of groups and fields are provided as needed. Results in Galois theory are formulated first in a concrete, elementary way, then in the modern form. Each chapter begins with a simple question that gives the reader and idea of the nature and difficulty of what lies ahead. Thea applications of the theory to geometric constructions, including the ancient problems of squaring the circle, duplicating the cube, and trisecting an angle, and the construction of regular *n*-gons are also presented.”

**BRIEF CONTENTS**

- Preface to the English Edition
- Preface to the German Editions
- Chapter 1. Cubic Equations
- Chapter 2. Casus Irreducibilis: The Birth of the Complex Numbers
- Chapter 3. Biquadratic Equations
- Chapter 4. Equations of Degree
*n*and Their Properties - Chapter 5. The Search for Additional Solution Formulas
- Chapter 6. Equations That Can Be Reduced in Degree
- Chapter 7. The Construction of Regular Polygons
- Chapter 8. The Solution of Equations of the Fifth Degree
- Chapter 9. The Galois Group of an Equation
- Chapter 10. Algebraic Structures and Galois Theory
- Epilogue
- Index

## Details

- SKU:
- 1979
- Subject:
- Mathematics
- Author:
- Bewersdorff, Jörg (Translated by David Kramer)
- Publisher:
- American Mathematical Society
- Publish Date:
- 2006
- Format:
- Softcover
- Weight (pounds):
- 0.54
- Dimensions (W”xL”xH”):
- 5.6″x8.5″x0.4″
- ISBN-13:
- 9780821838174
- ISBN-10:
- 0821838172
- Grade Level:
- College
- Series:
- Student Mathematical Library

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