本书是沙法列维奇代数几何基础教程的第１卷。本书作者沙法列维奇是当代著名数学家，被誉为苏联数学三巨头之一，他建立了为世人瞩目的苏联代数几何和代数数论学派。他的代数几何基础教程（俄文版1972年初版，英文版1977年初版）问世五十多年来，历经三版修订，一直被视为一部重要的代数几何经典名著。与同类教材相比，该教程内容全面详尽，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。该教程的第３版分为两卷，第１卷讨论射影空间中的簇，第２卷讨论概形和复流形。 ★编辑推荐 （1）苏联数学三巨头之一的沙法列维奇的经典名著 （2）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 ★媒体推荐/名...(展开全部)

This book is based on one-semester courses given at Harvard in 1984, at Brown in 1985, and at Harvard in 1988. It is intended to be, as the title suggests, a first introduction to the subject. Even so, a few words are in order about the purposes of the book. Algebraic geometry has developed tremendously over the last century. During the 19th century, the subject was practiced o...(展开全部)

This book is based on one-semester courses given at Harvard in 1984, at Brown in 1985, and at Harvard in 1988. It is intended to be, as the title suggests, a first introduction to the subject. Even so, a few words are in order about the purposes of the book. Algebraic geometry has developed tremendously over the last century. During the 19th century, the subject was practiced o...(展开全部)

本书作者是当代著名的前苏联代数几何学家，是一位有独创性，知识极为渊博的数学家。本书问世（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先选择的教材．

本书作者是当代著名的前苏联代数几何学家，是一位有独创性，知识极为渊博的数学家。本书问世（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先选择的教材．

The first edition of this book came out just as the apparatus of algebraic geometry was reaching a stage that permitted a lucid and concise account of the foundations of the subject. The author was no longer forced into the painful choice between sacrificing rigour of exposition or overloading the clear geometrical picture with cumbersome algebraic apparatus. 　　此书为英文版！

The first edition of this book came out just as the apparatus of algebraic geometry was reaching a stage that permitted a lucid and concise account of the foundations of the subject. The author was no longer forced into the painful choice between sacrificing rigour of exposition or overloading the clear geometrical picture with cumbersome algebraic apparatus. 　　此书为英文版！

Books 2 and 3 correspond to Chap. V-IX of the first edition. They study schemes and complex manifolds, two notions that generalise in different directions the varieties in projective space studied in Book 1. Introducing them leads also to new results in the theory of projective varieties. For example, it is within the framework of the theory of schemes and abstract varieties th...(展开全部)

Books 2 and 3 correspond to Chap. V-IX of the first edition. They study schemes and complex manifolds, two notions that generalise in different directions the varieties in projective space studied in Book 1. Introducing them leads also to new results in the theory of projective varieties. For example, it is within the framework of the theory of schemes and abstract varieties th...(展开全部)

本书是莫斯科大学数学力学系经典教材《现代几何学——方法和应用》三卷本的第１卷。全书力求以直观的和物理的视角阐述，是一本难得的现代几何方面的佳作。整套书内容包括张量分析、曲线和曲面几何、一维和高维变分法（第１卷），微分流形的拓扑和几何（第２卷），以及同调与上同调理论（第３卷）。本书可用作数学和理论物理专业高年级和研究生的教学用书，对从事几何和拓扑研究的工作者也极具参考价值。 ★编辑推荐： 《现代几何学——方法和应用》是莫斯科大学数学力学系对几何课程现代化改革的成果，作者之一的诺维科夫是1970年菲尔兹奖和2005年沃尔夫奖得主。