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Algebraic Curves and Riemann Surfaces for Undergraduates
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Located in: Calgary, Alberta, Canada
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eBay item number:395284449414
Item specifics
- Condition
- Brand New: A new, unread, unused book in perfect condition with no missing or damaged pages. See all condition definitionsopens in a new window or tab
- ISBN-13
- 9783031116155
- Book Title
- Algebraic Curves and Riemann Surfaces for Undergraduates
- ISBN
- 9783031116155
- Subject Area
- Mathematics
- Publication Name
- Algebraic Curves and Riemann Surfaces for Undergraduates : the Theory of the Donut
- Item Length
- 9.3 in
- Publisher
- Springer International Publishing A&G
- Subject
- Geometry / Algebraic, Mathematical Analysis
- Publication Year
- 2023
- Type
- Textbook
- Format
- Trade Paperback
- Language
- English
- Item Width
- 6.1 in
- Item Weight
- 29.5 Oz
- Number of Pages
- Xiv, 450 Pages
About this product
Product Information
The theory relating algebraic curves and Riemann surfaces exhibits the unity of mathematics: topology, complex analysis, algebra and geometry all interact in a deep way. This textbook offers an elementary introduction to this beautiful theory for an undergraduate audience. At the heart of the subject is the theory of elliptic functions and elliptic curves. A complex torus (or "donut") is both an abelian group and a Riemann surface. It is obtained by identifying points on the complex plane. At the same time, it can be viewed as a complex algebraic curve, with addition of points given by a geometric "chord-and-tangent" method. This book carefully develops all of the tools necessary to make sense of this isomorphism. The exposition is kept as elementary as possible and frequently draws on familiar notions in calculus and algebra to motivate new concepts. Based on a capstone course given to senior undergraduates, this book is intended as a textbook for courses at this level and includes a large number of class-tested exercises. The prerequisites for using the book are familiarity with abstract algebra, calculus and analysis, as covered in standard undergraduate courses.
Product Identifiers
Publisher
Springer International Publishing A&G
ISBN-10
3031116151
ISBN-13
9783031116155
eBay Product ID (ePID)
26057295033
Product Key Features
Publication Name
Algebraic Curves and Riemann Surfaces for Undergraduates : the Theory of the Donut
Format
Trade Paperback
Language
English
Subject
Geometry / Algebraic, Mathematical Analysis
Publication Year
2023
Type
Textbook
Subject Area
Mathematics
Number of Pages
Xiv, 450 Pages
Dimensions
Item Length
9.3 in
Item Width
6.1 in
Item Weight
29.5 Oz
Additional Product Features
Number of Volumes
1 Vol.
Lc Classification Number
Qa564-609
Table of Content
1 Introduction.- Part I Algebraic curves.- 2 Algebra.- 3 Affine space.- 4 Projective space.- 5 Tangents.- 6 Bézout's theorem.- 7 The elliptic group.- Part II Riemann Surfaces.- 8 Quasi-Euclidean spaces.- 9 Connectedness, smooth and simple.- 10 Path integrals.- 11 Complex differentiation.- 12 Riemann surfaces.- Part III Curves and surfaces.- 13 Curves are surfaces.- 14 Elliptic functions and the isomorphism theorem.- 15 Puiseux theory.- 16 A brief history of elliptic functions.
Copyright Date
2022
Illustrated
Yes
Item description from the seller
Seller assumes all responsibility for this listing.
eBay item number:395284449414
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Calgary, Alberta, Canada
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