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Basic Algebraic Geometry 1: Varieties in Projective Space
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Shafarevich’s book is a must for all advanced undergraduate and beginning graduate students, and for the many specialists in other branches of math who need a liberal education in algebraic geometry.
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- Shafarevich's Basic Algebraic Geometry has been a classic and universally used introduction to the subject since its first appearance over 40 years ago. As the translator writes in a prefatory note, ``For all advanced undergraduate and beginning graduate students, and for the many specialists in other branches of math who need a liberal education in algebraic geometry, Shafarevich’s book is a must.'' The third edition, in addition to some minor corrections, now offers a new treatment of the Riemann--Roch theorem for curves, including a proof from first principles.Shafarevich's book is an attractive and accessible introduction to algebraic geometry, suitable for beginning students and nonspecialists, and the new edition is set to remain a popular introduction to the field.
| Publisher | Springer |
| Publication date | August 23, 2015 |
| Edition | Softcover reprint of the original 3rd ed. 2013 |
| Language | English |
| Print length | 328 pages |
| ISBN-10 | 364242726X |
| ISBN-13 | 978-3642427268 |
| Item Weight | 1 pounds (450 grams) |
| Dimensions | 6.1 x 0.74 x 9.25 inches (15.5 x 1.9 x 23.5 cm) |
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Basic Algebraic Geometry 1: Varieties in Projective Space
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Algebraic Geometry Editorial Review
Basic Algebraic Geometry 1: Varieties in Projective Space offers a deep dive into the complexities of algebraic geometry, positioned as a substantial resource for those engaging at a higher academic level. Although some consider it an advanced text more suitable for graduate or PhD students, it serves as a valuable foundation for understanding varieties in projective spaces with its thorough exploration extending over 328 pages. The book's structured content, published by Springer, ensures clarity and depth, making it a significant addition to any mathematician's library.
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Pros
- Comprehensive introduction to algebraic geometry concepts
- Detailed exploration of varieties in projective space
- Good for advanced graduate students
- Well-structured content for in-depth understanding
- High-quality publication by Springer
Cons
- Potentially too advanced for undergraduate study
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STD 2069070
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Features & Benefits
- Classic and universally used introduction to algebraic geometry
- Attractive and accessible for beginning students and nonspecialists
- New edition includes a new treatment of the Riemann--Roch theorem for curves
- Suitable for advanced undergraduate and beginning graduate students
- Valuable for specialists in other branches of math
- Will remain a popular introduction to the field
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