作者：Igor R. Shafarevich[
页数：18,310页
出版社：世界图书出版公司
出版日期：2023
ISBN：9787519296636
电子书格式：pdf/epub/txt
内容简介
本书是沙法列维奇代数几何基础教程的第1卷。本书作者是当代著名的苏联/俄罗斯代数几何学家，是一位有独创性，知识极为渊博的数学家。作者的代数几何基础教程问世（俄文版1972年初版，英文版1977年初版）40多年来，一直被视为一部重要的代数几何经典名著。与同类书相比，本书内容全面，详尽，注重给出抽象理论的几何背景和起源，并配有充分反映几何本质的实例和图解。本书所需预备知识仅限于代数基础，是高年级本科生和研究生学习代数几何的首选教材。
作者简介
[俄]伊戈尔·沙法列维奇(Igor Shafarevich)，是当代伟大的数学家，俄罗斯科学院院士，被誉为苏联数学三巨头之一。主要工作领域为代数数论和代数几何，建立了为世人瞩目的苏联代数几何和代数数论学派。
本书特色
·苏联数学三巨头之一的沙法列维奇的经典名著
·本书是世图“俄罗斯数学经典”书系中的一种，该书系还包括《卓里奇数学分析教程》（2卷）、《现代几何学——方法和应用》（3卷）等经典名著
“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
目录
1. Basic Notions.
2. Local Properties.
3. Divisors and Differential Forms.
4. Intersection Numbers.
Algebraic Appendix.
References.
Index.
