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Author : Legh Wilber Reid
Publisher :
ISBN 13 :
Total Pages : 488 pages
Book Rating : 4.F/5 ( download)
Download or read book The Elements of the Theory of Algebraic Numbers written by Legh Wilber Reid and published by . This book was released on 1910 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Harry Pollard
Publisher : American Mathematical Soc.
ISBN 13 : 1614440093
Total Pages : 162 pages
Book Rating : 4.6/5 (144 download)
Download or read book The Theory of Algebraic Numbers: Second Edition written by Harry Pollard and published by American Mathematical Soc.. This book was released on 1975-12-31 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : E. T. Hecke
Publisher : Springer Science & Business Media
ISBN 13 : 1475740921
Total Pages : 251 pages
Book Rating : 4.4/5 (757 download)
Download or read book Lectures on the Theory of Algebraic Numbers written by E. T. Hecke and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 251 pages. Available in PDF, EPUB and Kindle. Book excerpt: . . . 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 : Legh Wilber Reid
Publisher :
ISBN 13 :
Total Pages : 486 pages
Book Rating : 4.A/5 ( download)
Download or read book The Elements of the Theory of Algebraic Numbers written by Legh Wilber Reid and published by . This book was released on 1910 with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Helmut Koch
Publisher : American Mathematical Soc.
ISBN 13 : 9780821820544
Total Pages : 390 pages
Book Rating : 4.8/5 (25 download)
Download or read book Number Theory written by Helmut Koch and published by American Mathematical Soc.. This book was released on 2000 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebraic number theory is one of the most refined creations in mathematics. It has been developed by some of the leading mathematicians of this and previous centuries. The primary goal of this book is to present the essential elements of algebraic number theory, including the theory of normal extensions up through a glimpse of class field theory. Following the example set for us by Kronecker, Weber, Hilbert and Artin, algebraic functions are handled here on an equal footing with algebraic numbers. This is done on the one hand to demonstrate the analogy between number fields and function fields, which is especially clear in the case where the ground field is a finite field. On the other hand, in this way one obtains an introduction to the theory of 'higher congruences' as an important element of 'arithmetic geometry'. Early chapters discuss topics in elementary number theory, such as Minkowski's geometry of numbers, public-key cryptography and a short proof of the Prime Number Theorem, following Newman and Zagier. Next, some of the tools of algebraic number theory are introduced, such as ideals, discriminants and valuations. These results are then applied to obtain results about function fields, including a proof of the Riemann-Roch Theorem and, as an application of cyclotomic fields, a proof of the first case of Fermat's Last Theorem. There are a detailed exposition of the theory of Hecke $L$-series, following Tate, and explicit applications to number theory, such as the Generalized Riemann Hypothesis. Chapter 9 brings together the earlier material through the study of quadratic number fields. Finally, Chapter 10 gives an introduction to class field theory. The book attempts as much as possible to give simple proofs. It can be used by a beginner in algebraic number theory who wishes to see some of the true power and depth of the subject. The book is suitable for two one-semester courses, with the first four chapters serving to develop the basic material. Chapters 6 through 9 could be used on their own as a second semester course.
Author : Paulo Ribenboim
Publisher : Springer Science & Business Media
ISBN 13 : 0387216901
Total Pages : 676 pages
Book Rating : 4.3/5 (872 download)
Download or read book Classical Theory of Algebraic Numbers written by Paulo Ribenboim and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 676 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Legh Wilber Reid
Publisher : Sagwan Press
ISBN 13 : 9781376428599
Total Pages : 482 pages
Book Rating : 4.4/5 (285 download)
Download or read book The Elements of the Theory of Algebraic Numbers written by Legh Wilber Reid and published by Sagwan Press. This book was released on 2018-02 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Author : Edwin Weiss
Publisher : Courier Corporation
ISBN 13 : 048615436X
Total Pages : 308 pages
Book Rating : 4.4/5 (861 download)
Download or read book Algebraic Number Theory written by Edwin Weiss and published by Courier Corporation. This book was released on 2012-01-27 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ideal either for classroom use or as exercises for mathematically minded individuals, this text introduces elementary valuation theory, extension of valuations, local and ordinary arithmetic fields, and global, quadratic, and cyclotomic fields.
Author : Legh Wilber Reid
Publisher : Forgotten Books
ISBN 13 : 9781330386255
Total Pages : 480 pages
Book Rating : 4.3/5 (862 download)
Download or read book The Elements of the Theory of Algebraic Numbers written by Legh Wilber Reid and published by Forgotten Books. This book was released on 2015-06-25 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from The Elements of the Theory of Algebraic Numbers It has been my endeavor in this book to lead by easy stages a reader, entirely unacquainted with the subject, to an appreciation of some of the fundamental conceptions in the general theory of algebraic numbers. With this object in view, I have treated the theory of rational integers more in the manner of the general theory than is usual, and have emphasized those properties of these integers which find their analogues in the general theory. The same may be said of the general quadratic realm, which has been treated rather as an example of the general realm of the nth degree than simply as of the second degree, as little use as was possible, without too great sacrifice of simplicity, being made of the special properties of the quadratic realm in the proofs. The theorems and their proofs have therefore been so formulated as to be readily extendable, in most cases, to the general realm of the nth degree, and it is hoped that a student, who wishes to continue the study of the subject, will find the reading of works on the general theory, such as Hilbert's Bericht über die Theorie der Algebraischen Zahlkorper, rendered easier thereby. The proofs of the theorems relating to biquadratic residues have necessarily been omitted but the examples given will make the reader acquainted with their content. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Author : Reid Legh Wilber
Publisher : Legare Street Press
ISBN 13 : 9781015787957
Total Pages : 0 pages
Book Rating : 4.7/5 (879 download)
Download or read book The Elements of the Theory of Algebraic Numbers written by Reid Legh Wilber and published by Legare Street Press. This book was released on 2022-10-27 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Author : Hermann Weyl
Publisher : Princeton University Press
ISBN 13 : 9780691059174
Total Pages : 244 pages
Book Rating : 4.0/5 (591 download)
Download or read book Algebraic Theory of Numbers written by Hermann Weyl and published by Princeton University Press. This book was released on 1998 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work explores the fundamental concepts in arithmetic. It begins with the definitions and properties of algebraic fields. The theory of divisibility is then discussed. There follows an introduction to p-adic numbers and then culminates with an extensive examination of algebraic number fields.
Author : Pierre Samuel
Publisher : Dover Books on Mathematics
ISBN 13 : 9780486466668
Total Pages : 0 pages
Book Rating : 4.4/5 (666 download)
Download or read book Algebraic Theory of Numbers written by Pierre Samuel and published by Dover Books on Mathematics. This book was released on 2008 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebraic number theory introduces students to new algebraic notions as well as related concepts: groups, rings, fields, ideals, quotient rings, and quotient fields. This text covers the basics, from divisibility theory in principal ideal domains to the unit theorem, finiteness of the class number, and Hilbert ramification theory. 1970 edition.
Author : Ian Stewart
Publisher : CRC Press
ISBN 13 : 143986408X
Total Pages : 334 pages
Book Rating : 4.4/5 (398 download)
Download or read book Algebraic Number Theory and Fermat's Last Theorem written by Ian Stewart and published by CRC Press. This book was released on 2001-12-12 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: First 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
Author : Richard Dedekind
Publisher : Cambridge University Press
ISBN 13 : 0521565189
Total Pages : 170 pages
Book Rating : 4.5/5 (215 download)
Download or read book Theory of Algebraic Integers written by Richard Dedekind and published by Cambridge University Press. This book was released on 1996-09-28 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: A translation of a classic work by one of the truly great figures of mathematics.
Author : H. P. F. Swinnerton-Dyer
Publisher : Cambridge University Press
ISBN 13 : 9780521004237
Total Pages : 164 pages
Book Rating : 4.0/5 (42 download)
Download or read book A Brief Guide to Algebraic Number Theory written by H. P. F. Swinnerton-Dyer and published by Cambridge University Press. This book was released on 2001-02-22 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: Broad graduate-level account of Algebraic Number Theory, first published in 2001, including exercises, by a world-renowned author.
Author : Reid Legh Wilber
Publisher : Scholar's Choice
ISBN 13 : 9781296316488
Total Pages : 480 pages
Book Rating : 4.3/5 (164 download)
Download or read book The Elements of the Theory of Algebraic Numbers - Scholar's Choice Edition written by Reid Legh Wilber and published by Scholar's Choice. This book was released on 2015-02-19 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Author : John Stillwell
Publisher : Springer Science & Business Media
ISBN 13 : 0387217355
Total Pages : 266 pages
Book Rating : 4.3/5 (872 download)
Download or read book Elements of Number Theory written by John Stillwell and published by Springer Science & Business Media. This book was released on 2012-11-12 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: Solutions of equations in integers is the central problem of number theory and is the focus of this book. The amount of material is suitable for a one-semester course. The author has tried to avoid the ad hoc proofs in favor of unifying ideas that work in many situations. There are exercises at the end of almost every section, so that each new idea or proof receives immediate reinforcement.
