Classical Theory of Algebraic Numbers
Title | Classical Theory of Algebraic Numbers PDF eBook |
Author | Paulo Ribenboim |
Publisher | Springer Science & Business Media |
Pages | 716 |
Release | 2001-03-30 |
Genre | Mathematics |
ISBN | 9780387950709 |
The exposition of the classical theory of algebraic numbers is clear and thorough, and there is a large number of exercises as well as worked out numerical examples. A careful study of this book will provide a solid background to the learning of more recent topics.
Lectures on the Theory of Algebraic Numbers
Title | Lectures on the Theory of Algebraic Numbers PDF eBook |
Author | E. T. Hecke |
Publisher | Springer Science & Business Media |
Pages | 251 |
Release | 2013-03-09 |
Genre | Mathematics |
ISBN | 1475740921 |
. . . if one wants to make progress in mathematics one should study the masters not the pupils. N. H. Abel Heeke was certainly one of the masters, and in fact, the study of Heeke L series and Heeke operators has permanently embedded his name in the fabric of number theory. It is a rare occurrence when a master writes a basic book, and Heeke's Lectures on the Theory of Algebraic Numbers has become a classic. To quote another master, Andre Weil: "To improve upon Heeke, in a treatment along classical lines of the theory of algebraic numbers, would be a futile and impossible task. " We have tried to remain as close as possible to the original text in pre serving Heeke's rich, informal style of exposition. In a very few instances we have substituted modern terminology for Heeke's, e. g. , "torsion free group" for "pure group. " One problem for a student is the lack of exercises in the book. However, given the large number of texts available in algebraic number theory, this is not a serious drawback. In particular we recommend Number Fields by D. A. Marcus (Springer-Verlag) as a particularly rich source. We would like to thank James M. Vaughn Jr. and the Vaughn Foundation Fund for their encouragement and generous support of Jay R. Goldman without which this translation would never have appeared. Minneapolis George U. Brauer July 1981 Jay R.
The Theory of Algebraic Numbers: Second Edition
Title | The Theory of Algebraic Numbers: Second Edition PDF eBook |
Author | Harry Pollard |
Publisher | American Mathematical Soc. |
Pages | 162 |
Release | 1975-12-31 |
Genre | Algebraic number theory |
ISBN | 1614440093 |
This monograph makes available, in English, the elementary parts of classical algebraic number theory. This second edition follows closely the plan and style of the first edition. The principal changes are the correction of misprints, the expansion or simplification of some arguments, and the omission of the final chapter on units in order to make way for the introduction of some two hundred problems.
A Classical Invitation to Algebraic Numbers and Class Fields
Title | A Classical Invitation to Algebraic Numbers and Class Fields PDF eBook |
Author | Harvey Cohn |
Publisher | Springer Science & Business Media |
Pages | 344 |
Release | 2012-12-06 |
Genre | Mathematics |
ISBN | 1461299500 |
"Artin's 1932 Göttingen Lectures on Class Field Theory" and "Connections between Algebrac Number Theory and Integral Matrices"
Classical Theory of Algebraic Numbers
Title | Classical Theory of Algebraic Numbers PDF eBook |
Author | Paulo Ribenboim |
Publisher | Springer Science & Business Media |
Pages | 676 |
Release | 2013-11-11 |
Genre | Mathematics |
ISBN | 0387216901 |
The exposition of the classical theory of algebraic numbers is clear and thorough, and there is a large number of exercises as well as worked out numerical examples. A careful study of this book will provide a solid background to the learning of more recent topics.
Theory of Algebraic Integers
Title | Theory of Algebraic Integers PDF eBook |
Author | Richard Dedekind |
Publisher | Cambridge University Press |
Pages | 170 |
Release | 1996-09-28 |
Genre | Mathematics |
ISBN | 0521565189 |
A translation of a classic work by one of the truly great figures of mathematics.
A Classical Introduction to Modern Number Theory
Title | A Classical Introduction to Modern Number Theory PDF eBook |
Author | Kenneth Ireland |
Publisher | Springer Science & Business Media |
Pages | 406 |
Release | 2013-04-17 |
Genre | Mathematics |
ISBN | 147572103X |
This well-developed, accessible text details the historical development of the subject throughout. It also provides wide-ranging coverage of significant results with comparatively elementary proofs, some of them new. This second edition contains two new chapters that provide a complete proof of the Mordel-Weil theorem for elliptic curves over the rational numbers and an overview of recent progress on the arithmetic of elliptic curves.