**Student Mathematical Library**

Volume: 66;
2013;
335 pp;
Softcover

MSC: Primary 14;

Print ISBN: 978-0-8218-9396-8

Product Code: STML/66

List Price: $53.00

Individual Price: $42.40

**Electronic ISBN: 978-0-8218-9487-3
Product Code: STML/66.E**

List Price: $53.00

Individual Price: $42.40

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#### Supplemental Materials

# Algebraic Geometry: A Problem Solving Approach

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*Thomas Garrity; Richard Belshoff; Lynette Boos; Ryan Brown; Carl Lienert; David Murphy; Junalyn Navarra-Madsen; Pedro Poitevin; Shawn Robinson; Brian Snyder; Caryn Werner*

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.

This book is published in cooperation with IAS/Park City Mathematics Institute

#### Table of Contents

# Table of Contents

## Algebraic Geometry: A Problem Solving Approach

- Cover Cover11 free
- Title page iii4 free
- Contents vii8 free
- Introduction xi12 free
- Preface xiii14 free
- Conics 124 free
- Cubic curves and elliptic curves 6184
- Higher degree curves 129152
- Affine varieties 197220
- Projective varieties 271294
- The next steps: Sheaves and cohomology 301324
- Bibliography 329352
- Index 333356 free
- Back Cover Back Cover1362

#### Readership

Undergraduate students interested in algebraic geometry.