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Elliptic Curves. (MN-40), Volume 40
Anthony W. Knapp
€ 139.73
€ 105.37
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Description for Elliptic Curves. (MN-40), Volume 40
Paperback. An elliptic curve is a particular kind of cubic equation in two variables whose projective solutions form a group. Developing, with many examples, the elementary theory of elliptic curves, this book goes on to the subject of modular forms and the first connections with elliptic curves. Series: Mathematical Notes. Num Pages: 448 pages, Ill. BIC Classification: PBG. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 260 x 261 x 35. Weight in Grams: 654.
An elliptic curve is a particular kind of cubic equation in two variables whose projective solutions form a group. Modular forms are analytic functions in the upper half plane with certain transformation laws and growth properties. The two subjects--elliptic curves and modular forms--come together in Eichler-Shimura theory, which constructs elliptic curves out of modular forms of a special kind. The converse, that all rational elliptic curves arise this way, is called the Taniyama-Weil Conjecture and is known to imply Fermat's Last Theorem. Elliptic curves and the modeular forms in the Eichler- Shimura theory both have associated L functions, and it ... Read more
An elliptic curve is a particular kind of cubic equation in two variables whose projective solutions form a group. Modular forms are analytic functions in the upper half plane with certain transformation laws and growth properties. The two subjects--elliptic curves and modular forms--come together in Eichler-Shimura theory, which constructs elliptic curves out of modular forms of a special kind. The converse, that all rational elliptic curves arise this way, is called the Taniyama-Weil Conjecture and is known to imply Fermat's Last Theorem. Elliptic curves and the modeular forms in the Eichler- Shimura theory both have associated L functions, and it ... Read more
Product Details
Format
Paperback
Publication date
1993
Publisher
Princeton University Press United States
Number of pages
448
Condition
New
Series
Mathematical Notes
Number of Pages
444
Place of Publication
New Jersey, United States
ISBN
9780691085593
SKU
V9780691085593
Shipping Time
Usually ships in 7 to 11 working days
Ref
99-1
About Anthony W. Knapp
Anthony W. Knapp is Professor of Mathematics at the University of New York, Stony Brook. He is the author of Representation Theory of Semisimple Groups: An Overview Based on Examples and Lie Groups, Lie Algebras, and Cohomology (both published by Princeton University Press).
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