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RATIONAL Points ON Elliptic Curves by Joseph H. Silverman & John Tate
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eBay item number:155739336492
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
- Features
- Reprint
- ISBN
- 9780387978253
- Publication Name
- RATIONAL Points on Elliptic Curves
- Item Length
- 9.3in
- Publisher
- Springer New York
- Publication Year
- 1994
- Series
- Undergraduate Texts in Mathematics Ser.
- Type
- Textbook
- Format
- Hardcover
- Language
- English
- Item Height
- 0.3in
- Item Width
- 6.1in
- Item Weight
- 46.6 Oz
- Number of Pages
- X, 281 Pages
About this product
Product Information
In 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.
Product Identifiers
Publisher
Springer New York
ISBN-10
0387978259
ISBN-13
9780387978253
eBay Product ID (ePID)
288123
Product Key Features
Publication Name
RATIONAL Points on Elliptic Curves
Format
Hardcover
Language
English
Publication Year
1994
Series
Undergraduate Texts in Mathematics Ser.
Type
Textbook
Number of Pages
X, 281 Pages
Dimensions
Item Length
9.3in
Item Height
0.3in
Item Width
6.1in
Item Weight
46.6 Oz
Additional Product Features
Number of Volumes
1 Vol.
Lc Classification Number
Qa564-609
Reviews
From the reviews:"The authors' goal has been to write a textbook in a technically difficult field which is accessible to the average undergraduate mathematics major, and it seems that they have succeeded admirably..."--MATHEMATICAL REVIEWS"This is a very leisurely introduction to the theory of elliptic curves, concentrating on an algebraic and number-theoretic viewpoint. It is pitched at an undergraduate level and simplifies the work by proving the main theorems with additional hypotheses or by only proving special cases. … The examples really pull together the material and make it clear. … a great book for a first introduction to the subject of elliptic curves. … very clearly written and you will understand a lot when you are done." (Allen Stenger, The Mathematical Association of America, August, 2008), "The authors' goal has been to write a textbook in a technically difficult field which is accessible to the average undergraduate mathematics major, and it seems that they have succeeded admirably..."--MATHEMATICAL REVIEWS, From the reviews: "The authors' goal has been to write a textbook in a technically difficult field which is accessible to the average undergraduate mathematics major, and it seems that they have succeeded admirably..."--MATHEMATICAL REVIEWS "This is a very leisurely introduction to the theory of elliptic curves, concentrating on an algebraic and number-theoretic viewpoint. It is pitched at an undergraduate level and simplifies the work by proving the main theorems with additional hypotheses or by only proving special cases. ... The examples really pull together the material and make it clear. ... a great book for a first introduction to the subject of elliptic curves. ... very clearly written and you will understand a lot when you are done." (Allen Stenger, The Mathematical Association of America, August, 2008), From the reviews: "The authors' goal has been to write a textbook in a technically difficult field which is accessible to the average undergraduate mathematics major, and it seems that they have succeeded admirably..."--MATHEMATICAL REVIEWS "This is a very leisurely introduction to the theory of elliptic curves, concentrating on an algebraic and number-theoretic viewpoint. It is pitched at an undergraduate level and simplifies the work by proving the main theorems with additional hypotheses or by only proving special cases. … The examples really pull together the material and make it clear. … a great book for a first introduction to the subject of elliptic curves. … very clearly written and you will understand a lot when you are done." (Allen Stenger, The Mathematical Association of America, August, 2008)
Table of Content
I 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.
Copyright Date
1992
Topic
Number Theory, Geometry / Algebraic
Dewey Decimal
516.352
Intended Audience
Scholarly & Professional
Dewey Edition
22
Illustrated
Yes
Genre
Mathematics
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eBay item number:155739336492
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