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Author: Paulo Ribenboim
Publisher: Springer Science & Business Media
Published: 2001-03-30
Total Pages: 716
ISBN-13: 9780387950709
DOWNLOAD EBOOKThe 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.
Author: Harry Pollard
Publisher: American Mathematical Soc.
Published: 1975-12-31
Total Pages: 162
ISBN-13: 1614440093
DOWNLOAD EBOOKThis 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.
Author: E. T. Hecke
Publisher: Springer Science & Business Media
Published: 2013-03-09
Total Pages: 251
ISBN-13: 1475740921
DOWNLOAD EBOOK. . . 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.
Author: Paulo Ribenboim
Publisher: Springer Science & Business Media
Published: 2013-11-11
Total Pages: 676
ISBN-13: 0387216901
DOWNLOAD EBOOKThe 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.
Author: Harvey Cohn
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 344
ISBN-13: 1461299500
DOWNLOAD EBOOK"Artin's 1932 Göttingen Lectures on Class Field Theory" and "Connections between Algebrac Number Theory and Integral Matrices"
Author: Richard Dedekind
Publisher: Cambridge University Press
Published: 1996-09-28
Total Pages: 170
ISBN-13: 0521565189
DOWNLOAD EBOOKA translation of a classic work by one of the truly great figures of mathematics.
Author: K. Ireland
Publisher: Springer Science & Business Media
Published: 2013-03-09
Total Pages: 355
ISBN-13: 1475717792
DOWNLOAD EBOOKThis book is a revised and greatly expanded version of our book Elements of Number Theory published in 1972. As with the first book the primary audience we envisage consists of upper level undergraduate mathematics majors and graduate students. We have assumed some familiarity with the material in a standard undergraduate course in abstract algebra. A large portion of Chapters 1-11 can be read even without such background with the aid of a small amount of supplementary reading. The later chapters assume some knowledge of Galois theory, and in Chapters 16 and 18 an acquaintance with the theory of complex variables is necessary. Number theory is an ancient subject and its content is vast. Any intro ductory book must, of necessity, make a very limited selection from the fascinat ing array of possible topics. Our focus is on topics which point in the direction of algebraic number theory and arithmetic algebraic geometry. By a careful selection of subject matter we have found it possible to exposit some rather advanced material without requiring very much in the way oftechnical background. Most of this material is classical in the sense that is was dis covered during the nineteenth century and earlier, but it is also modern because it is intimately related to important research going on at the present time.
Author: H. P. F. Swinnerton-Dyer
Publisher: Cambridge University Press
Published: 2001-02-22
Total Pages: 164
ISBN-13: 9780521004237
DOWNLOAD EBOOKBroad graduate-level account of Algebraic Number Theory, first published in 2001, including exercises, by a world-renowned author.
Author: Jürgen Neukirch
Publisher: Springer
Published: 2010-12-15
Total Pages: 0
ISBN-13: 9783642084737
DOWNLOAD EBOOKThis introduction to algebraic number theory discusses the classical concepts from the viewpoint of Arakelov theory. The treatment of class theory is particularly rich in illustrating complements, offering hints for further study, and providing concrete examples. It is the most up-to-date, systematic, and theoretically comprehensive textbook on algebraic number field theory available.
Author: Ian Stewart
Publisher: CRC Press
Published: 2001-12-12
Total Pages: 334
ISBN-13: 143986408X
DOWNLOAD EBOOKFirst published in 1979 and written by two distinguished mathematicians with a special gift for exposition, this book is now available in a completely revised third edition. It reflects the exciting developments in number theory during the past two decades that culminated in the proof of Fermat's Last Theorem. Intended as a upper level textbook, it
