Basic Algebraic Geometry 1 (original) (raw)
Overview
Authors:
- Igor R. Shafarevich
- Algebra Section, Steklov Mathematical Institute Algebra Section, Moscow, Russia
Elementary introduction
Author is one of the pioneers in the subject
Author is outstanding mathematics writer
Includes supplementary material: sn.pub/extras
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About this book
Shafarevich's Basic Algebraic Geometry has been a classic and universally used introduction to the subject since its first appearance over 40 years ago. As the translator writes in a prefatory note, ``For all [advanced undergraduate and beginning graduate] students, and for the many specialists in other branches of math who need a liberal education in algebraic geometry, Shafarevich’s book is a must.'' The third edition, in addition to some minor corrections, now offers a new treatment of the Riemann--Roch theorem for curves, including a proof from first principles.
Shafarevich's book is an attractive and accessible introduction to algebraic geometry, suitable for beginning students and nonspecialists, and the new edition is set to remain a popular introduction to the field.
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Table of contents (4 chapters)
Book 1: Varieties in Projective Space
Reviews
“This is a very good book and very good introduction to algebraic geometry and it serves an entry door to this enormous subject in mathematics. … This book is classical and I strongly recommend it as the first book on algebraic geometry. … It is an excellent book and every mathematician should have a copy.” (Philosophy, Religion and Science Book Reviews, Bookinspections.wordpress.com, July, 2016)
“I find the book wonderfully put together, and I am sure the reader will learn a lot, either from systematic study or from browsing particular topics. … In each chapter, the theorems, propositions, corollaries, examples, remarks, etc., each have their own independent numbering system, running consecutively throughout the chapter. This makes it a real chore to track any internal reference in the book.” (Robin Hartshorne, SIAM Review, Vol. 56 (4), December, 2014)
“The author’s two-volume textbook ‘Basic Algebraic Geometry’ is one of the most popular standard primers in the field. … the author’s unique classic is a perfect first introduction to the geometry of algebraic varieties for students and nonspecialists, and the current, improve third edition will maintain this outstanding role of the textbook in the relevant literature without any doubt.” (Werner Kleinert, zbMATH, Vol. 1273, 2013)
Authors and Affiliations
Algebra Section, Steklov Mathematical Institute Algebra Section, Moscow, Russia
Igor R. Shafarevich
About the author
Igor Shafarevich made fundamental contributions to several parts of mathematics including algebraic number theory, algebraic geometry and arithmetic algebraic geometry.
Bibliographic Information
- Book Title: Basic Algebraic Geometry 1
- Book Subtitle: Varieties in Projective Space
- Authors: Igor R. Shafarevich
- DOI: https://doi.org/10.1007/978-3-642-37956-7
- Publisher: Springer Berlin, Heidelberg
- eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
- Copyright Information: Springer-Verlag Berlin Heidelberg 2013
- Hardcover ISBN: 978-3-642-37955-0Published: 19 August 2013
- Softcover ISBN: 978-3-642-42726-8Published: 23 August 2015
- eBook ISBN: 978-3-642-37956-7Published: 13 August 2013
- Edition Number: 3
- Number of Pages: XVIII, 310
- Additional Information: Original third Russian edition published in one volume by MCCME, Moscow 2007
- Topics: Algebraic Geometry, Theoretical, Mathematical and Computational Physics