The Rising Sea (Paperback)
Language: English
Published by Princeton University Press, New Jersey, 2025
- Softcover
- New
Seller: Grand Eagle Retail, Bensenville, IL, U.S.A.Grand Eagle Retail
AbeBooks seller since October 12, 2005
Condition: New
£ 60.71
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Add to basketItem description from seller
Paperback. An accessible, motivated introduction to one of the most dynamic areas of mathematicsDecades ago, Mumford wrote that algebraic geometry "seems to have acquired the reputation of being esoteric, exclusive, and very abstract, with adherents who are secretly plotting to take over all the rest of mathematics." The revolution has now fully come to pass and has fundamentally changed how we think about many fields of mathematics. This book provides a thorough foundation in the powerful ideas that now shape the landscape, with an informal yet rigorous exposition that builds intuition for understanding the formidable machinery. It begins with a discussion of categorical thinking and sheaves and then develops the notion of schemes and varieties as examples of "geometric spaces" before discussing their specific aspects. The book goes on to cover topics such as dimension and smoothness, vector bundles and their natural generalizations, and important cohomological tools and their applications. Important optional topics are included in starred sections.Provides a comprehensive introduction certain to become the standard on the subjectFeatures a wealth of exercises that enable students to learn by doingRequires few prerequisites, developing the tools students need to succeed, from category theory and sheaf theory to commutative and homological algebraUses an example-driven approach that builds mathematical intuitionIs a self-contained textbook for graduate students and an essential reference for researchers Shipping may be from multiple locations in the US or from the UK, depending on stock availability.…
Seller Inventory # 9780691268675
- Title
- The Rising Sea (Paperback)
- Author
- Ravi Vakil
- Publisher
- Princeton University Press, New Jersey
- Publication year
- 2025
- Condition
- new
- Binding
- Paperback
- Language
- English
- ISBN 10
- 0691268673
- ISBN 13
- 9780691268675
An accessible, motivated introduction to one of the most dynamic areas of mathematics
Decades ago, Mumford wrote that algebraic geometry “seems to have acquired the reputation of being esoteric, exclusive, and very abstract, with adherents who are secretly plotting to take over all the rest of mathematics.” The revolution has now fully come to pass and has fundamentally changed how we think about many fields of mathematics. This book provides a thorough foundation in the powerful ideas that now shape the landscape, with an informal yet rigorous exposition that builds intuition for understanding the formidable machinery. It begins with a discussion of categorical thinking and sheaves and then develops the notion of schemes and varieties as examples of “geometric spaces” before discussing their specific aspects. The book goes on to cover topics such as dimension and smoothness, vector bundles and their natural generalizations, and important cohomological tools and their applications. Important optional topics are included in starred sections.
- Provides a comprehensive introduction certain to become the standard on the subject
- Features a wealth of exercises that enable students to learn by doing
- Requires few prerequisites, developing the tools students need to succeed, from category theory and sheaf theory to commutative and homological algebra
- Uses an example-driven approach that builds mathematical intuition
- Is a self-contained textbook for graduate students and an essential reference for researchers
"Synopsis" may belong to another edition of this title.
About the Author
"About the title" may belong to another edition of this title.
Grand Eagle Retail
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AbeBooks seller since October 12, 2005
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