Lectures on Algebra Volume 1
Material type:
TextLanguage: English Publication details: London World Scientific 2022Edition: Indian ReprintDescription: x, 746pISBN: 9781944659875 (PB)Subject(s): Quadratic Equations | Geometric modeling | Algebraic geometry | Mathematics
BOOKS
| Current library | Home library | Call number | Materials specified | Copy number | Status | Date due | Barcode |
|---|---|---|---|---|---|---|---|
| IMSc Library | IMSc Library | 512 ABH (Browse shelf (Opens below)) | 1 | Available | 77517 | ||
| IMSc Library | IMSc Library | 512 ABH (Browse shelf (Opens below)) | 2 | Available | 77533 |
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Includes bibliographical references (pages 689-690) and index
1. Quadratic Equations (Rings)
2. Curves and Surfaces (Fields)\
3. Tangents and Polars (Valuations)
4. Varieties and Models (Ideals)
5. Projective Varieties (Modules)
6. Pause and Refresh (Groups)
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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