An introduction to algebraic geometry
著者
書誌事項
An introduction to algebraic geometry
（Translations of mathematical monographs, v. 166）
American Mathematical Society, c1997
- hbk
- pbk
- タイトル別名
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代数幾何入門
Daisū kika nyūmon
大学図書館所蔵 件 / 全49件
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注記
Includes bibliographical references (p. 239-240) and indexes (p. 241-246)
Original Japanese ed. published: Tokyo:Iwanami Shoten, 1995
"This book is based on a draft for Iwanami Lecture Series in Applied Mathematics"--P. xii
内容説明・目次
- 巻冊次
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hbk ISBN 9780821805893
内容説明
This introduction to algebraic geometry allows readers to grasp the fundamentals of the subject with only linear algebra and calculus as prerequisites. After a brief history of the subject, the book introduces projective spaces and projective varieties, and explains plane curves and resolution of their singularities. The volume further develops the geometry of algebraic curves and treats congruence zeta functions of algebraic curves over a finite field. It concludes with a complex analytical discussion of algebraic curves. The author emphasizes computation of concrete examples rather than proofs, and these examples are discussed from various viewpoints. This approach allows readers to develop a deeper understanding of the theorems.
- 巻冊次
-
pbk ISBN 9780821811443
内容説明
This introduction to algebraic geometry allows readers to grasp the fundamentals of the subject with only linear algebra and calculus as prerequisites. After a brief history of the subject, the book introduces projective spaces and projective varieties, and explains plane curves and resolution of their singularities. The volume further develops the geometry of algebraic curves and treats congruence zeta functions of algebraic curves over a finite field. It concludes with a complex analytical discussion of algebraic curves. The author emphasizes computation of concrete examples rather than proofs, and these examples are discussed from various viewpoints. This approach allows readers to develop a deeper understanding of the theorems.
目次
Invitation to algebraic geometry Projective space and projective varieties Algebraic curves The analytic theory of algebraic curves Commutative rings and fields (Appendix) References Index Index for definitions, theorems, etc.
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