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130125s1986 nyu o 000 0 eng |
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20260422225013.1 |
| 020 |
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|a 9781475719208 (electronic bk.)
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|a 1475719205 (electronic bk.)
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|z 9781475719222
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|a (OCoLC)853268043
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|a MAT002000
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| 100 |
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|a Silverman, Joseph H.
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| 245 |
1 |
4 |
|a The Arithmetic of Elliptic Curves /
|c by Joseph H. Silverman.
|
| 264 |
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1 |
|a New York, NY :
|b Springer New York,
|c 1986.
|
| 300 |
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|a 1 online resource (xii, 402 pages)
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| 336 |
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|a text
|b txt
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|2 rdamedia
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| 338 |
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|a online resource
|b cr
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| 490 |
1 |
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|a Graduate texts in mathematics,
|x 0072-5285 ;
|v 106
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| 505 |
0 |
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|a Algebraic Varieties -- Algebraic Curves -- The Geometry of Elliptic Curves -- The Formal Group of an Elliptic Curve -- Elliptic Curves over Finite Fields -- Elliptic Curves over C -- Elliptic Curves over Local Fields -- Elliptic Curves over Global Fields -- Integral Points on Elliptic Curves -- Computing the Mordell-Weil Group -- Appendix A: Elliptic Curves in Characteristics 2 and 3. -- Appendix B: Group Cohomology (H0 and H1) -- Appendix C.: Further Topics: An Overview -- Notes on Exercises -- Bibliography -- List of Notation -- Index.
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| 520 |
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|a The theory of elliptic curves is distinguished by its long history and by the diversity of the methods that have been used in its study. This book treats the arithmetic theory of elliptic curves in its modern formulation, through the use of basic algebraic number theory and algebraic geometry. The book begins with a brief discussion of the necessary algebro-geometric results, and proceeds with an exposition of the geometry of elliptic curves, the formal group of an elliptic curve, elliptic curves over finite fields, the complex numbers, local fields, and global fields. The last two chapters deal with integral and rational points, including Siegel's theorem and explicit computations for the curve Y^2 = X^3 + DX. The book contains three appendices: Elliptic Curves in Characteristics 2 and 3, Group Cohomology, and a third appendix giving an overview of more advanced topics.
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| 500 |
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|a Electronic resource.
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| 650 |
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|a Mathematics.
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| 650 |
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|a Algebra.
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| 650 |
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|a Number theory.
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| 650 |
|
7 |
|a Algebra.
|2 fast
|0 (OCoLC)fst00804885
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| 650 |
|
7 |
|a Mathematics.
|2 fast
|0 (OCoLC)fst01012163
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| 650 |
|
7 |
|a Number theory.
|2 fast
|0 (OCoLC)fst01041214
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| 655 |
|
7 |
|a Electronic books.
|2 local
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| 710 |
2 |
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|a SpringerLink (Online service)
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| 776 |
1 |
8 |
|i Print version:
|z 9781475719222
|
| 830 |
|
0 |
|a Graduate texts in mathematics ;
|v 106.
|
| 856 |
4 |
0 |
|u http://proxy.library.tamu.edu/login?url=https://link.springer.com/10.1007/978-1-4757-1920-8
|z Connect to the full text of this electronic book
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f |
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|a Texas A&M University
|b College Station
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|e QA150-272
|h Library of Congress classification
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| 998 |
f |
f |
|a QA150-272
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|l Available Online
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