Algebraic Geometry for Beginners
C. Musili(Author)
Hindustan Book Agency (Publisher)
Published on 30. March 2001
Book
Paperback/Softback
432 pages
978-81-85931-66-1 (ISBN)
Description
This book offers a self-contained elementary introduction to the fundamental concepts and techniques of Algebraic Geometry, leading to some gems of the subject like Bezout's Theorem, the Fundamental Theorem of Projective Geometry, and Zariski's Main Theorem.
The book contains a detailed treatment of algebraic plane curves with a special emphasis on elliptic curves and their birational classification. The role played by elliptic curves in modern theory of cryptology is illustrated.
A novel feature of the book is a discussion of the state of the art on the Jacobian Problem and its relation to the Epimorphism Theorem. The recently introduced Tame Transformation Method of Cryptosystems, is sketched.
Prerequisities are limited to a knowledge of finite Galois Theory, and of commutative Noetherian rings. All the Commutative Algebra needed is presented in Chapter 1, and could form the basis for a mini course on the subject. The exposition retains classroom flavour. About 300 exercises are included, often with adequate hints.
The book contains a detailed treatment of algebraic plane curves with a special emphasis on elliptic curves and their birational classification. The role played by elliptic curves in modern theory of cryptology is illustrated.
A novel feature of the book is a discussion of the state of the art on the Jacobian Problem and its relation to the Epimorphism Theorem. The recently introduced Tame Transformation Method of Cryptosystems, is sketched.
Prerequisities are limited to a knowledge of finite Galois Theory, and of commutative Noetherian rings. All the Commutative Algebra needed is presented in Chapter 1, and could form the basis for a mini course on the subject. The exposition retains classroom flavour. About 300 exercises are included, often with adequate hints.
More details
Series
Language
English
Place of publication
New Delhi
India
Target group
Professional and scholarly
Dimensions
Height: 235 mm
Width: 155 mm
Weight
457 gr
ISBN-13
978-81-85931-66-1 (9788185931661)
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Schweitzer Classification
Other editions
Additional editions

C. Musili
Algebraic Geometry for Beginners
E-Book
03/2001
Hindustan Book Agency
€42.79
Available for download