Introduction to Algebraic Geometry

by Justin R Smith  (Author)



This book is intended for self-study or as a textbook for graduate students or advanced undergraduates. It presupposes some basic knowledge of point-set topology and a solid foundation in linear algebra. Otherwise, it develops all of the commutative algebra, sheaf-theory and cohomology needed to understand the material. It also presents applications to robotics and other fields.

This book provides a profound introduction to some of the basic principles of both classical and modern algebraic geometry for
graduate students or advanced undergraduates. Assuming only some previous knowledge of linear algebra and general topology, it also presents all the concepts, methods and results from commutative algebra, sheaf theory and cohomology as far as necessary to develop the foundations of algebraic geometry. These allied mathematical frameworks are treated separately in four appendices after the main text, thus making the textbook essentially self-contained, and therefore particularly suited for self-study by beginners or as an accompanying course book, respectively.

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