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Algebraic geometry : a problem solving approach
Authors: --- --- --- --- --- et al.
ISBN: 9780821893968 0821893963 Year: 2013 Publisher: Providence, Rhode Island : [Princeton, New Jersey] : American Mathematical Society ; Institute for Advanced Study,

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Abstract

This text consists of a series of exercises, plus some background information and explanations, starting with conics and ending with sheaves and cohomology. The first chapter on conics is appropriate for first-year college students (and many high school students). Chapter 2 leads the reader to an understanding of the basics of cubic curves, while Chapter 3 introduces higher degree curves. Both chapters are appropriate for people who have taken multivariable calculus and linear algebra. Chapters 4 and 5 introduce geometric objects of higher dimension than curves. Abstract algebra now plays a critical role, making a first course in abstract algebra necessary from this point on. The last chapter is on sheaves and cohomology, providing a hint of current work in algebraic geometry.

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