Algebraic Geometry: A Problem Solving Approach (Student Mathematical Library) (Student Mathematical Library: IAS/Park City Mathematical Subseries, 66)

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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 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.
Publisher ‏ : ‎ American Mathematical Society in corporation with IAS/Park City Mathematics Institute
Publication date ‏ : ‎ February 14, 2013
Edition ‏ : ‎ Student
Language ‏ : ‎ English
Print length ‏ : ‎ 335 pages
ISBN-10 ‏ : ‎ 0821893963
ISBN-13 ‏ : ‎ 978-0821893968
Item Weight ‏ : ‎ 15.2 ounces
Dimensions ‏ : ‎ 5.75 x 0.75 x 9 inches
Best Sellers Rank: #610,303 in Books (See Top 100 in Books) #44 in Algebraic Geometry (Books) #520 in Algebra & Trigonometry #854 in Algebra
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