Basic Algebraic Geometry 1

Varieties in Projective Space

Authors: Shafarevich, Igor R.

  • Elementary introduction
  • Author is one of the pioneers in the subject
  • Author is outstanding mathematics writer
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  • ISBN 978-3-642-37956-7
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  • Immediate eBook download after purchase
Hardcover $79.99
price for USA
  • ISBN 978-3-642-37955-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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About this Textbook

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.

About the authors

Igor Shafarevich made fundamental contributions to several parts of mathematics including algebraic number theory, algebraic geometry and arithmetic algebraic geometry.

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)


Table of contents (4 chapters)

Buy this book

eBook $59.99
price for USA (gross)
  • ISBN 978-3-642-37956-7
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $79.99
price for USA
  • ISBN 978-3-642-37955-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Basic Algebraic Geometry 1
Book Subtitle
Varieties in Projective Space
Authors
Translated by
Reid, M.
Copyright
2013
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
Distribution Rights
Distribution rights for India: Researchco Book Centre, New Delhi, India
eBook ISBN
978-3-642-37956-7
DOI
10.1007/978-3-642-37956-7
Hardcover ISBN
978-3-642-37955-0
Edition Number
3
Number of Pages
XVIII, 310
Additional Information
Original third Russian edition published in one volume by MCCME, Moscow  2007
Topics