Advanced Topics in Computational Number Theory (Graduate Texts in Mathematics, 193) 2000th Edition by Henri Cohen | (PDF) Free Download

Description

Written by an authority with great practical and teaching experience in the field, this book addresses a number of topics in computational number theory. Chapters one through five form a homogenous subject matter suitable for a six-month or year-long course in computational number theory. The subsequent chapters deal with more miscellaneous subjects.

User’s Reviews

Editorial Reviews: Review “Das vorliegende Buch ist eine Fortsetzung des bekannten erkes “A Course in Computational Algebraic Number Theory” (Graduate Texts in Mathematics 138) desselben Autors. …So ist das vorliegende Buch ein sehr umfängliches Nachschlagewerk zur algorithmischen Zahlentheorie, das zusammen mit dem ersten Buch des Autors sicherlich eine Standard-Referenz für zahlentheoretische Algorithmen darstellen wird.”Internationale Mathematische Nachrichten, Nr. 187, August 2001

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐My son loved this for Christmas.

⭐The author continues his excellent overview of computational number theory in this book. And, as in the first volume, the writing is first-rate and gives the reader a comprehensive overview of the more advanced algorithms in the subject. Contrary to the first volume, I have not used many of the algorithms in this book and cannot attest to their quality, but the author gives the detailed background on each of them, enhancing their credibility. I read this book mostly to gain more insight into algebraic geometry and its connection with coding theory and cryptography. The following algorithms were ones that I found helpful and interesting but only a few of which I coded myself: (1) The algorithm for generating a random element from an ideal. (2) The compositum of two number fields (3) Valuation of a prime ideal. (4)Ideal factorization. (5)Smith normal form for finite groups. (6) Quotient of groups. (7) Group extensions. (8) Right four-term exact sequences. (9) Image and inverse image of a subgroup. (10)Subgroups with prime index. (11) Solving linear systems in integers. (12) Algorithms involving p-adic logarithms. (13) Computation of the Dedekind eta-function. (14) Unramified Abelian extensions using complex multiplication. (15) Computation of quasi-periods for elliptic functions. (16) Computation of the sigma-function for an elliptic curve.

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Free Download Advanced Topics in Computational Number Theory (Graduate Texts in Mathematics, 193) 2000th Edition in PDF format
Advanced Topics in Computational Number Theory (Graduate Texts in Mathematics, 193) 2000th Edition PDF Free Download
Download Advanced Topics in Computational Number Theory (Graduate Texts in Mathematics, 193) 2000th Edition 2000 PDF Free
Advanced Topics in Computational Number Theory (Graduate Texts in Mathematics, 193) 2000th Edition 2000 PDF Free Download
Download Advanced Topics in Computational Number Theory (Graduate Texts in Mathematics, 193) 2000th Edition PDF
Free Download Ebook Advanced Topics in Computational Number Theory (Graduate Texts in Mathematics, 193) 2000th Edition