000			03038nam a2200361 i 4500
003			UVAL
005			20240507121724.0
006			a|||||r|||| 00| 0
007			ta
008			220119s2015 nyu||||gr |||| 0|eng
020			_a9783319185873
040			_aDIBRA _bspa _erda _cUVAL
041	0		_aeng
082	0	4	_a516.352 _222
100	1		_aSilverman, Joseph H., _d1955- _eautor. _981154.
245	1	0	_aRational Points on Elliptic Curves / _cby Joseph H. Silverman, John Tate.
250			_aSegunda edición.
264		1	_aNew York : _bSpringer, _c2015.
300			_ax, 332 páginas.
490	1		_aUndergraduate Texts in Mathematics, _x0172-6056
505	0		_aI Geometry and Arithmetic -- II Points of Finite Order -- III The Group of Rational Points -- IV Cubic Curves over Finite Fields -- V Integer Points on Cubic Curves -- VI Complex Multiplication -- Appendix A Projective Geometry -- 1. Homogeneous Coordinates and the Projective Plane -- 2. Curves in the Projective Plane -- 3. Intersections of Projective Curves -- 4. Intersection Multiplicities and a Proof of Bezout's Theorem -- Exercises -- List of Notation.
520			_aIn 1961 the second author deliv1lred a series of lectures at Haverford Col- lege on the subject of "Rational Points on Cubic Curves. " These lectures, intended for junior and senior mathematics majors, were recorded, tran- scribed, and printed in mimeograph form. Since that time they have been widely distributed as photocopies of ever decreasing legibility, and por- tions have appeared in various textbooks (Husemoller [1], Chahal [1]), but they have never appeared in their entirety. In view of the recent inter- est in the theory of elliptic curves for subjects ranging from cryptogra- phy (Lenstra [1], Koblitz [2]) to physics (Luck-Moussa-Waldschmidt [1]), as well as the tremendous purely mathematical activity in this area, it seems a propitious time to publish an expanded version of those original notes suitable for presentation to an advanced undergraduate audience. We have attempted to maintain much of the informality of the orig- inal Haverford lectures. Our main goal in doing this has been to write a textbook in a technically difficult field which is "readable" by the average undergraduate mathematics major. We hope we have succeeded in this goal. The most obvious drawback to such an approach is that we have not been entirely rigorous in all of our proofs. In particular, much of the foundational material on elliptic curves presented in Chapter I is meant to explain and convince, rather than to rigorously prove.
588			_aDescription based on publisher-supplied MARC data.
650	1	4	_aGEOMETRIA ALGEBRAICA _94441.
700	1		_aTate, John Torrence, _d1925-2019, _e, autor _9236549.
776	0	8	_iPrinted edition: _z9780387978253
776	0	8	_iPrinted edition: _z9781441931016
776	0	8	_iPrinted edition: _z9781475742534
942			_2ddc _cBK
999			_c283263 _d283263