Elementary Number Theory: Primes, Congruences, and Secrets: A Computational Approach Export

@book{citeulike:3884347, abstract = {This is a textbook about classical elementary number theory and elliptic curves. The first part discusses elementary topics such as primes, factorization, continued fractions, and quadratic forms, in the context of cryptography, computation, and deep open research problems. The second part is about elliptic curves, their applications to algorithmic problems, and their connections with problems in number theory such as Fermat's Last Theorem, the Congruent Number Problem, and the Conjecture of Birch and Swinnerton-Dyer. The intended audience of this book is an undergraduate with some familiarity with basic abstract algebra, e.g. rings, fields, and finite abelian groups.}, author = {Stein, William}, citeulike-article-id = {3884347}, citeulike-linkout-0 = {http://www.amazon.ca/exec/obidos/redirect?tag=citeulike09-20&path=ASIN/0387855246}, citeulike-linkout-1 = {http://www.amazon.de/exec/obidos/redirect?tag=citeulike01-21&path=ASIN/0387855246}, citeulike-linkout-10 = {http://dx.doi.org/10.1007/b13279}, citeulike-linkout-2 = {http://www.amazon.fr/exec/obidos/redirect?tag=citeulike06-21&path=ASIN/0387855246}, citeulike-linkout-3 = {http://www.amazon.jp/exec/obidos/ASIN/0387855246}, citeulike-linkout-4 = {http://www.amazon.co.uk/exec/obidos/ASIN/0387855246/citeulike00-21}, citeulike-linkout-5 = {http://www.amazon.com/exec/obidos/redirect?tag=citeulike07-20&path=ASIN/0387855246}, citeulike-linkout-6 = {http://www.worldcat.org/isbn/0387855246}, citeulike-linkout-7 = {http://books.google.com/books?vid=ISBN0387855246}, citeulike-linkout-8 = {http://www.amazon.com/gp/search?keywords=0387855246&index=books&linkCode=qs}, citeulike-linkout-9 = {http://www.librarything.com/isbn/0387855246}, day = {20}, doi = {10.1007/b13279}, edition = {1}, howpublished = {Hardcover}, isbn = {0387855246}, keywords = {numbertheory, ownit, sage}, month = {November}, posted-at = {2009-01-14 05:39:09}, priority = {2}, publisher = {Springer}, series = {Undergraduate Texts in Mathematics}, title = {Elementary Number Theory: Primes, Congruences, and Secrets: A Computational Approach}, url = {http://dx.doi.org/10.1007/b13279}, year = {2008} }

TY - BOOK ID - citeulike:3884347 L3 - citeulike-article-id:3884347 N2 - This is a textbook about classical elementary number theory and elliptic curves. The first part discusses elementary topics such as primes, factorization, continued fractions, and quadratic forms, in the context of cryptography, computation, and deep open research problems. The second part is about elliptic curves, their applications to algorithmic problems, and their connections with problems in number theory such as Fermat’s Last Theorem, the Congruent Number Problem, and the Conjecture of Birch and Swinnerton-Dyer. The intended audience of this book is an undergraduate with some familiarity with basic abstract algebra, e.g. rings, fields, and finite abelian groups. SE - Undergraduate Texts in Mathematics SN - 0387855246 TI - Elementary Number Theory: Primes, Congruences, and Secrets: A Computational Approach PB - Springer KW - numbertheory KW - ownit KW - sage AU - Stein, William PY - 2008/11/20/ UR - http://dx.doi.org/10.1007/b13279 ER -