Number Theory by Henri Cohen

Number Theory by Henri Cohen

This book deals with several aspects of what is now called "explicit number theory." The central theme is the solution of Diophantine equations, i.e., equations or systems of polynomial equations which must be solved in integers, rational numbers or more generally in algebraic numbers. This theme, in particular, is the central motivation for the modern theory of arithmetic algebraic geometry. In this text, this is considered through three of its most basic aspects. The local aspect, global aspect, and the third aspect is the theory of zeta and L-functions. This last aspect can be considered as a unifying theme for the whole subject.

From the reviews:

"Cohen (Université Bordeaux I, France), an instant classic, uniquely bridges the gap between old-fashioned, naive treatments and the many modern books available that develop the tools just mentioned …Summing Up: Recommended. … Upper-division undergraduates through faculty." (D. V. Feldman, CHOICE, Vol. 45 (5), January, 2008)

"The book deals with aspects of ‘explicit number theory’. … The central theme … is the solution of Diophantine equations. … It combines an interesting ‘philosophy’ of the subject with an encyclopedic grasp of detail. The extension of the author’s reach via the contributed chapters is a good idea. Perhaps it is the start of a trend, as the subject grows more and more. … It will undoubtedly be mined by instructors for their graduate courses, particularly for the purpose of including some recently-proved content." (R. C. Baker, Mathematical Reviews, Issue 2008 e)

“This is the second volume of a highly impressive two-volume textbook on Diophantine analysis. … readers are presented with an almost overwhelming amount of material. This … text book is bound to become an important reference for students and researchers alike.” (C. Baxa, Monatshefte für Mathematik, Vol. 157 (2), June, 2009)

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	NIN9780387498935
ISBN 13	9780387498935
ISBN 10	0387498931
Title	Number Theory
Author	Henri Cohen
Series	Graduate Texts In Mathematics
Condition	New
Publisher	Springer-Verlag New York Inc.
Year published	2007-05-23
Number of pages	596
Cover note	Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
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