A Course in Computational Algebraic Number Theory by Henri Cohen

A Course in Computational Algebraic Number Theory by Henri Cohen

With the advent of powerful computing tools and numerous advances in math- ematics, computer science and cryptography, algorithmic number theory has become an important subject in its own right. Both external and internal pressures gave a powerful impetus to the development of more powerful al- gorithms. These in turn led to a large number of spectacular breakthroughs. To mention but a few, the L algorithm which has a wide range of appli- cations, including real world applications to integer programming, primality testing and factoring algorithms, sub-exponential class group and regulator algorithms, etc . Several books exist which treat parts of this subject. (It is essentially impossible for an author to keep up with the rapid pace of progress in all areas of this subject.) Each book emphasizes a different area, corresponding to the author's tastes and interests. The most famous, but unfortunately the oldest, is Knuth's Art of Computer Programming, especially Chapter 4. The present book has two goals. First, to give a reasonably comprehensive introductory course in computational number theory. In particular, although we study some subjects in great detail, others are only mentioned, but with suitable pointers to the literature. Hence, we hope that this book can serve as a first course on the subject. A natural sequel would be to study more specialized subjects in the existing literature.

From the reviews:

HCohen

A Course in Computational Algebraic Number Theory

"With numerous advances in mathematics, computer science, and cryptography, algorithmic number theory has become an important subject. Undoubtedly, this book, written by one of the leading authorities in the field, is one of the most beautiful books available on the market."

—ACTA SCIENTIARUM MATHEMATICARUM

“This book is intended to provide material for a three-semester sequence, introductory, graduate course in computational algebraic number theory. … The book is excellent. … The book has 75 sections, making it suitable for a three-semester sequence. There are numerous exercises at all levels … . The bibliography is quite comprehensive and therefore has intrinsic value in its own right. … chapters bring the student to the frontiers of the field, covering elliptic curves, modern primality testing and modern factoring methods.” (Russell Jay Hendel, The MathematicalAssociation of America, January, 2011)

Cohen, Henri: - Dr. Henri Cohen's research interests focus on speech and language development and neurological disorders, learning and emotion in Parkinson's disease, complexity and learning, skill acquisition and interference, and origin of language. He is Professor of Psychology (ret.) at Universitü¾Ž–”¼ du Quü¾Ž–”¼bec ü¾Œ†”¼ Montrü¾Ž–”¼al, and visiting scholar, at Pontificia Universidad Catü¾Œ¶˜¼lica de Chile, Universidad de la Frontera, Chile. He has published over 100 peer-reviewed articles, and edited two books (with Elsevier) on cognition and consciousness, and on categorization, and a book on the origins of language (Benjamins). He is the current editor of Brain and Cognition (Elsevier), and past editor of Journal of Neurolinguistics (Elsevier).

SKU	Nicht verfügbar
ISBN 13	9783540556404
ISBN 10	3540556400
Titel	A Course in Computational Algebraic Number Theory
Autor	Henri Cohen
Serie	Graduate Texts In Mathematics
Buchzustand	Nicht verfügbar
Bindungsart	Hardback
Verlag	Springer
Erscheinungsjahr	1993-08-05
Seitenanzahl	536
Hinweis auf dem Einband	Die Abbildung des Buches dient nur Illustrationszwecken, die tatsächliche Bindung, das Cover und die Auflage können sich davon unterscheiden.
Hinweis	Nicht verfügbar