Introduction to Commutative Algebra and Algebraic Geometry - Hardcover

Ernst Kunz

Hardcover

ISBN 10: 0817630651 ISBN 13: 9780817630652

Publisher: Birkhäuser Boston, 1984

Synopsis

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 the central role. Instead, this book is developed around the vital theme that certain areas of both subjects are best understood together. This link between the two subjects, forged in the nineteenth century, built further by Krull and Zariski, remains as active as ever. In this book, the reader will find as the same time a leisurely and clear exposition of the basic definitions and results in both algebra and geometry, as well as an cxposition of the important recent progress fue to Quillen-Suslin, Evans-Eisenbud, Szpiro, Mohan Kumar and others. The ample exercises are another excellent feature. Professor Kunz has filled a longstanding need for an introduction to commutative algebra and algebraic geometry that emphasizes the concrete elementary nature of objects with which both subjects began.

About this title

Language Notes

Text: English, German (translation)

Review

"An excellent text for a student who wants to learn the basic facts from commutative algebra and algebraic geometry... Many examples and exercises complete the text."

―REVUE ROUMANIE DE MATHÉMATIQUES PURES ET APPLIQUÉES

"An excellent introduction to the subject... The center of gravity lies in commutative algebra, and this book can serve as a preparation for more advanced topics. The presentation is very clear and the theory is accompanied by numerous interesting exercises...This is a highly recommended text for students and lecturers."

―MATHEMATICA

"Outrageous as it may sound this is the first really introductory book written about the new algebraic geometry of the sixties. At last something that we can give our students without cautionary words, and where we ourselves can learn basic concepts that cut across the party lines of mathematics."

―Gian-Carlo Rota, formerly MIT

Edition details

• Publisher: Birkhäuser Boston
• Publication date: 1984
• ISBN 10: 0817630651
• ISBN 13: 9780817630652
• Binding: Hardcover
• Language: English
• Number of pages: 256