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A Field Guide to Algebra Undergraduate Texts in Mathematics



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This is a small book on algebra with a focus on the structure of fields. The author discusses polynomial and differential equationsandthe algebraic structure of their solutions. This text explores many unique and unusualsubjects, includingconstructionswith aruler and compass, the... Read more
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Features
Author Antoine Chambert-Loir
Format Hardcover
ISBN 9780387214283
Publication Date 23/05/2005
Publisher Springer
Manufacturer Springer-verlag New York Inc.
Description

This is a small book on algebra with a focus on the structure of fields. The author discusses polynomial and differential equationsandthe algebraic structure of their solutions. This text explores many unique and unusualsubjects, includingconstructionswith aruler and compass, the transcendence of pi, and the impossibility of angle trisection.

This book is based on notes used by the author over the past two years for a course he taught at the Ecole Polytechnique. There are exercises at the end of each chapter, ranging in difficulty from easy to challenging. To make this book more lively, the author has included pictures of mathematical stamps and mathematicians.


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