本书是Springer出版的《大学生数学教材》丛书之一, 1992年首次出版, 1997年第2版，这是第三版，将原来的版本作了若干修订,是一本交换代数与计算代数几何的教科书，各章均附有相当数量的练习题。阅读本书需要的预备知识为抽象代数基础。本书可作为大学有关专业的教材或教学参考书, 亦可供有关方面的研究生和研究人员参考阅读。 目次：几何、代数与算法；Groebner基；消去理论；代数几何辞典；簇上的多项式与有理函数；自动机与几何定理的机械化证明；有限群的不变量理论；射影代数几何；簇的维数。附录：若干代数概念(域、环、群、行列式)；伪码(算法语言)；计算代数系统(AXIOM, Maple, Mathematica, REDUCE等)；独立的计划(对讲授时另增内容的若干建议)。 读者对象：大学有关专业本科生和研究生,以及数学工作者。

This text covers topics in algebraic geometry and commutative algebra with a strong perspective toward practical and computational aspects. The first four chapters form the core of the book. A comprehensive chart in the Preface illustrates a variety of ways to proceed with the material once these chapters are covered. In addition to the fundamentals of algebraic geometry—the el...(展开全部)

David A. Cox is currently Professor of Mathematics at Amherst College. John Little is currently Professor of Mathematics at College of the Holy Cross. Donal O'Shea is currently President and Professor of Mathematics at New College of Florida.

This book details the heart and soul of modern commutative and algebraic geometry. It covers such topics as the Hilbert Basis Theorem, the Nullstellensatz, invariant theory, projective geometry, and dimension theory. In addition to enhancing the text of the second edition, with over 200 pages reflecting changes to enhance clarity and correctness, this third edition of Ideals, V...(展开全部)

David A. Cox is currently Professor of Mathematics at Amherst College. John Little is currently Professor of Mathematics at College of the Holy Cross. Donal O'Shea is currently President and Professor of Mathematics at New College of Florida.

This book will be particularly valuable to the American student because it covers material that is not available in any other textbooks or monographs. The subject of the book is not restricted to commutative algebra developed as a pure discipline for its own sake, nor is it aimed only at algebraic geometry where the intrinsic geometry of a general n-dimensional variety plays th...(展开全部)

One of the major discoveries of the past two decades in algebraic geometry is the realization that the theory of minimal models of surfaces can be generalized to higher dimensional varieties. This generalization, called the minimal model program, or Mori's program, has developed into a powerful tool with applications to diverse questions in algebraic geometry and beyond. This b...(展开全部)

This well-accepted introduction to computational geometry is a textbook for high-level undergraduate and low-level graduate courses. The focus is on algorithms and hence the book is well suited for students in computer science and engineering. Motivation is provided from the application areas: all solutions and techniques from computational geometry are related to particular ap...(展开全部)