An Introduction to Algebraic Geometry (Translations of Mathematical Monographs)

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.--google Books. Ch. 1. Invitation To Algebraic Geometry -- Ch. 2. Projective, Space And Projective Varieties -- Ch. 3. Algebraic Curves -- Ch. 4. The Analytic Theory Of Algebraic Curves -- Appendix. Commutative Rings And Fields. Kenji Ueno ; Translated By Katsumi Nomizu. Includes Bibliographical References And Index.

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.

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.