Unlike other books on algebraic geometry, this text includes applications from various areas of mathematics, biology, and physics. Designed for advanced undergraduate and graduate students with an applied mathematics background, the book develops most of the necessary commutative algebra. It describes all of the algebraic and geometric concepts required for understanding algebraic geometry. The author also presents a very recent and simpler proof of the dimension of an affine variety. A solutions manual and figure slides are available with qualifying course adoption.
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Dr. Smith is a professor of mathematics at Drexel University in Philadelphia.
This book provides a profound introduction to some of the basicprinciples of both classical and modern algebraic geometry forgraduate students or advanced undergraduates. Assuming only someprevious knowledge of linear algebra and general topology, it alsopresents all the concepts, methods and results from commutativealgebra, sheaf theory and cohomology as far as necessary to developthe foundations of algebraic geometry. These allied mathematicalframeworks are treated separately in four appendices after the maintext, thus making the textbook essentially self-contained, andtherefore particularly suited for self-study by beginners or as anaccompanying course book, respectively. Reviewer: Werner Kleinert (Berlin) Zentralblatt MATH: Zbl 1332.14001
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