RATIONAL POINTS ON ELLIPTIC CURVES (UNDERGRADUATE TEXTS IN By Joseph H. Mint
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RATIONAL POINTS ON ELLIPTIC CURVES (UNDERGRADUATE TEXTS IN By Joseph H. Mint
US $34.95
ApproximatelyS$ 44.88
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Like New
A book in excellent condition. Cover is shiny and undamaged, and the dust jacket is included for hard covers. No missing or damaged pages, no creases or tears, and no underlining/highlighting of text or writing in the margins. May be very minimal identifying marks on the inside cover. Very minimal wear and tear.
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eBay item number:365564965272
Item specifics
- Condition
- Book Title
- Rational Points on Elliptic Curves (Undergraduate Texts in
- Item Height
- 9.21 inches
- ISBN-10
- 331918587X
- ISBN
- 9783319185873
About this product
Product Identifiers
Publisher
Springer International Publishing A&G
ISBN-10
331918587X
ISBN-13
9783319185873
eBay Product ID (ePID)
23038664880
Product Key Features
Number of Pages
Xxii, 332 Pages
Publication Name
RATIONAL Points on Elliptic Curves
Language
English
Publication Year
2015
Subject
Geometry / General, Number Theory, Databases / General, Geometry / Algebraic
Type
Textbook
Subject Area
Mathematics, Computers
Series
Undergraduate Texts in Mathematics Ser.
Format
Hardcover
Dimensions
Item Weight
231.6 Oz
Item Length
9.3 in
Item Width
6.1 in
Additional Product Features
Edition Number
2
Intended Audience
Scholarly & Professional
Dewey Edition
22
Reviews
"The two main changes for this edition are a new section on elliptic curve cryptography and an explanation of how elliptic curves played a role in the proof of Fermat's Last Theorem. ... the best place to start learning about elliptic curves." (Fernando Q. Gouvêa, MAA Reviews, maa.org, April, 2016) "The book is an excellent introduction to elliptic curves over the rational numbers and ideal textbook for an undergraduate course. ... This book is highly recommended to students and researches interested in elliptic curves and their applications. It provides a natural step to a more advanced treatment of the subject." (Andrej Dujella, zbMATH 1346.11001, 2016), "The two main changes for this edition are a new section on elliptic curve cryptography and an explanation of how elliptic curves played a role in the proof of Fermat's Last Theorem. ... the best place to start learning about elliptic curves." (Fernando Q. Gouva, MAA Reviews, maa.org, April, 2016) "The book is an excellent introduction to elliptic curves over the rational numbers and ideal textbook for an undergraduate course. ... This book is highly recommended to students and researches interested in elliptic curves and their applications. It provides a natural step to a more advanced treatment of the subject." (Andrej Dujella, zbMATH 1346.11001, 2016)
Number of Volumes
1 vol.
Illustrated
Yes
Dewey Decimal
516.352
Original Language
English
Table Of Content
Introduction.- Geometry and Arithmetic.- Points of Finite Order.- The Group of Rational Points.- Cubic Curves over Finite Fields.- Integer Points on Cubic Curves.- Complex Multiplication.
Synopsis
The theory of elliptic curves involves a pleasing blend of algebra, geometry, analysis, and number theory. This volume stresses this interplay as it develops the basic theory, thereby providing an opportunity for advanced undergraduates to appreciate the unity of modern mathematics. At the same time, every effort has been made to use only methods and results commonly included in the undergraduate curriculum. This accessibility, the informal writing style, and a wealth of exercises make Rational Points on Elliptic Curves an ideal introduction for students at all levels who are interested in learning about Diophantine equations and arithmetic geometry. Most concretely, an elliptic curve is the set of zeroes of a cubic polynomial in two variables. If the polynomial has rational coefficients, then one can ask for a description of those zeroes whose coordinates are either integers or rational numbers. It is this number theoretic question that is the main subject of Rational Points on Elliptic Curves . Topics covered include the geometry and group structure of elliptic curves, the Nagell-Lutz theorem describing points of finite order, the Mordell-Weil theorem on the finite generation of the group of rational points, the Thue-Siegel theorem on the finiteness of the set of integer points, theorems on counting points with coordinates in finite fields, Lenstra's elliptic curve factorization algorithm, and a discussion of complex multiplication and the Galois representations associated to torsion points. Additional topics new to the second edition include an introduction to elliptic curve cryptography and a brief discussion of the stunning proof of Fermat's Last Theorem by Wiles et al. via the use of elliptic curves.
LC Classification Number
QA564-609
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- 1***p (26)- Feedback left by buyer.Past monthVerified purchaseGood product
- o***t (15)- Feedback left by buyer.Past monthVerified purchaseGood
- n***n (257)- Feedback left by buyer.Past monthVerified purchaseShipped quickly!! Packaged well!! Good experience! Would recommend!!