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Algebraic Geometry: A Problem Solving Approach (Student Mathematical Library) (Student Mathematical Library: IAS/Park City Mathematical Subseries)
List Price: $53.00
Manufacturer: American Mathematical Society in corporation with IAS/Park City Mathematics InstituteOur Price: $53.00 Availability: Usually ships in 24 hours Publisher: American Mathematical Society in corporation with IAS/Park City Mathematics Institute Author(s): Thomas Garrity, Richard Belshoff, Lynette Boos, Ryan Brown, Carl Lienert
Product Description:
Binding: Paperback
EAN: 9780821893968 Edition: Student ISBN: 0821893963 Item Dimensions: Array Label: American Mathematical Society in corporation with IAS/Park City Mathematics Institute Languages: Array Manufacturer: American Mathematical Society in corporation with IAS/Park City Mathematics Institute MPN: Illustrations Number Of Items: 1 Number Of Pages: 335 Publication Date: 20130214 Publisher: American Mathematical Society in corporation with IAS/Park City Mathematics Institute Studio: American Mathematical Society in corporation with IAS/Park City Mathematics Institute
Editorial Review:
Algebraic Geometry has been at the center of much of mathematics for hundreds of years. It is not an easy field to break into, despite its humble beginnings in the study of circles, ellipses, hyperbolas, and parabolas. 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 firstyear 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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