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

Penned By Thomas A. Garrity
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Algebraic Geometry: A Problem Solving Approach (Student Mathematical Library) (Student Mathematical Library: IAS/Park City Mathematical Subseries, 66)

Penned By Thomas A. Garrity
4.85 98,950 Ratings
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Editor's Note:
Algebraic geometry has been at the centre 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.

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Released February 1, 2013
Identifier (ISBN) 17134224
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Thomas A. Garrity

After spending years working in the corporate world, Thomas A. Garrity finally decided to pursue a lifelong passion for writing. They currently reside in a quiet suburb where they spend most of their time outlining new stories, reading extensively, and occasionally attempting to bake.

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