Lectures on algebra  v. 1

S.S. Abhyankar

This book is a timely survey of much of the algebra developed during the last several centuries including its applications to algebraic geometry and its potential use in geometric modeling. The present volume makes an ideal textbook for an abstract algebra course, while the forthcoming sequel, "Lectures on Algebra II", will serve as a textbook for a linear algebra course. The author's fondness for algebraic geometry shows up in both volumes, and his recent preoccupation with the applications of group theory to the calculation of Galois groups is evident in the second volume which contains more local rings and more algebraic geometry. Both books are based on the author's lectures at Purdue University over the last few years.

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[目次]

  • Quadratic Equations (Rings)
  • Curves and Surfaces (Fields)
  • Tangents and Polars (Valuations)
  • Varieties and Models (Ideals)
  • Projective Varieties (Modules)
  • Pause and Refresh (Groups).

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この本の情報

書名 Lectures on algebra
著作者等 Abhyankar, Shreeram Shankar
Abhyankar S.S.
巻冊次 v. 1
出版元 World Scientific
刊行年月 c2006
ページ数 x, 746 p.
大きさ 26 cm
ISBN 9812568263
NCID BA78648720
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言語 英語
出版国 アメリカ合衆国
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