An Introduction to Algebraic Geometry
Seiten
1997
American Mathematical Society (Verlag)
978-0-8218-1144-3 (ISBN)
American Mathematical Society (Verlag)
978-0-8218-1144-3 (ISBN)
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Gives an introduction to algebraic geometry that allows readers to grasp the fundamentals of the subject with only linear algebra and calculus as prerequisites. After a brief history of the subject, this book introduces projective spaces and projective varieties, and explains plane curves and resolution of their singularities.
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.
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.
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.
| Erscheint lt. Verlag | 1.8.2007 |
|---|---|
| Reihe/Serie | Translations of Mathematical Monographs |
| Verlagsort | Providence |
| Sprache | englisch |
| Gewicht | 490 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Geometrie / Topologie |
| ISBN-10 | 0-8218-1144-4 / 0821811444 |
| ISBN-13 | 978-0-8218-1144-3 / 9780821811443 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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