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Lectures on algebra/ S S Abhyankar

By: Publication details: Singapore: World Scientific, 2022Description: x, 746 pages; 24.5 cmISBN:
  • 9781944659875
Subject(s): DDC classification:
  • 23rd 512 Ab147
Contents:
Quadratic equations -- Curves and surfaces -- Tangents and polars -- Varieties and models -- Projective Varieties -- Pause and refresh
Summary: 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 modelling. 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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Includes bibliography and index

Quadratic equations -- Curves and surfaces -- Tangents and polars -- Varieties and models -- Projective Varieties -- Pause and refresh

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 modelling.
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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