Download or read book An Elementary Investigation of the Theory of Numbers written by Peter Barlow and published by . This book was released on 1811 with total page 538 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Theory of Numbers written by Robert Daniel Carmichael and published by . This book was released on 1914 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book History of the Theory of Numbers Volume 2 written by Leonard E 1874- Dickson 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.
Download or read book Exploring the Number Jungle A Journey into Diophantine Analysis written by Edward B. Burger and published by American Mathematical Soc.. This book was released on 2000 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: The minimal background requirements and the author's fresh approach make this book enjoyable and accessible to a wide range of students, mathematicians, and fans of number theory."--BOOK JACKET.
Download or read book History Of The Theory Of Numbers I written by Leonard Eugene Dickson and published by Legare Street Press. This book was released on 2023-07-22 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: A landmark work in the field of mathematics, History of the Theory of Numbers - I traces the development of number theory from ancient civilizations to the early 20th century. Written by mathematician Leonard Eugene Dickson, this book is a comprehensive and accessible introduction to the history of one of the most fundamental branches of mathematics. 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.
Download or read book The Theory of Numbers written by Robert Daniel Carmichael and published by . This book was released on 1959 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Diophantine Analysis written by Jörn Steuding and published by Birkhäuser. This book was released on 2016-12-21 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of course notes from a number theory summer school focus on aspects of Diophantine Analysis, addressed to Master and doctoral students as well as everyone who wants to learn the subject. The topics range from Baker’s method of bounding linear forms in logarithms (authored by Sanda Bujačić and Alan Filipin), metric diophantine approximation discussing in particular the yet unsolved Littlewood conjecture (by Simon Kristensen), Minkowski’s geometry of numbers and modern variations by Bombieri and Schmidt (Tapani Matala-aho), and a historical account of related number theory(ists) at the turn of the 19th Century (Nicola M.R. Oswald). Each of these notes serves as an essentially self-contained introduction to the topic. The reader gets a thorough impression of Diophantine Analysis by its central results, relevant applications and open problems. The notes are complemented with many references and an extensive register which makes it easy to navigate through the book.
Download or read book History of the Theory of Numbers written by Leonard E. Dickson and published by . This book was released on 1971 with total page 803 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Topics from the Theory of Numbers written by Emil Grosswald and published by Springer Science & Business Media. This book was released on 2010-02-23 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many of the important and creative developments in modern mathematics resulted from attempts to solve questions that originate in number theory. The publication of Emil Grosswald’s classic text presents an illuminating introduction to number theory. Combining the historical developments with the analytical approach, Topics from the Theory of Numbers offers the reader a diverse range of subjects to investigate.
Download or read book Number Theory written by Henri Cohen and published by Springer Science & Business Media. This book was released on 2008-10-10 with total page 673 pages. Available in PDF, EPUB and Kindle. Book excerpt: The central theme of this book 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 book contains more than 350 exercises and the text is largely self-contained. Much more sophisticated techniques have been brought to bear on the subject of Diophantine equations, and for this reason, the author has included five appendices on these techniques.
Download or read book History of the Theory of Numbers written by Leonard E. Dickson and published by . This book was released on 2005 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book THE THEORY OF NUMBERS AND DIOPHANTINE ANALYSIS BY ROBERT D CARMICHAEL written by Robert D. Carmichael and published by . This book was released on 1959 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book History of the Theory of Numbers written by Leonard Eugene Dickson and published by Courier Corporation. This book was released on 2012-01-27 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 1st volume in the series History of the Theory of Numbers presents the material related to the subjects of divisibility and primality. This series is the work of a distinguished mathematician who taught at the University of Chicago for 4 decades and is celebrated for his many contributions to number theory and group theory. 1919 edition.
Download or read book History of the Theory of Numbers Vol 2 written by Leonard Eugene Dickson and published by Forgotten Books. This book was released on 2017-10-31 with total page 834 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from History of the Theory of Numbers, Vol. 2: Diophantine Analysis Following the plan used in Volume I, we proceed to give an account in untechnical language Of the main landmarks in the successive chapters. If a reader will not pause to read this entire introduction, let him sample it by selecting the account of the final chapter. This introduction is followed by an explanation of the author's point of view in producing a work quite different from conventional histories. 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.
Download or read book History of the Theory of Numbers written by Leonard Eugene Dickson and published by University of Pennsylvania Press. This book was released on 1999 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dickson's History is truly a monumental account of the development of one of the oldest and most important areas of mathematics. It is remarkable today to think that such a complete history could even be conceived. That Dickson was able to accomplish such a feat is attested to by the fact that his History has become the standard reference for number theory up to that time. One need only look at later classics, such as Hardy and Wright, where Dickson's History is frequently cited, to see its importance. The book is divided into three volumes by topic. In scope, the coverage is encyclopedic, leaving very little out. It is interesting to see the topics being resuscitated today that are treated in detail in Dickson. The first volume of Dickson's History covers the related topics of divisibility and primality. It begins with a description of the development of our understanding of perfect numbers. Other standard topics, such as Fermat's theorems, primitive roots, counting divisors, the Möbius function, and prime numbers themselves are treated. Dickson, in this thoroughness, also includes less workhorse subjects, such as methods of factoring, divisibility of factorials and properties of the digits of numbers. Concepts, results and citations are numerous. This second volume is a comprehensive treatment of Diophantine analysis. Besides the familiar cases of Diophantine equations, this rubric also covers partitions, representations as a sum of two, three, four or $n$ squares, Waring's problem in general and Hilbert's solution of it, and perfect squares in artihmetical and geometrical progressions. Of course, many important Diophantine equations, such as Pell's equation, and classes of equations, such as quadratic, cubic and quartic equations, are treated in detail. As usual with Dickson, the account is encyclopedic and the references are numerous. The last volume of Dickson's History is the most modern, covering quadratic and higher forms. The treatment here is more general than in Volume II, which, in a sense, is more concerned with special cases. Indeed, this volume chiefly presents methods of attacking whole classes of problems. Again, Dickson is exhaustive with references and citations.
Download or read book An Introduction to the Theory of Numbers written by Leo Moser and published by The Trillia Group. This book was released on 2004 with total page 95 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book, which presupposes familiarity only with the most elementary concepts of arithmetic (divisibility properties, greatest common divisor, etc.), is an expanded version of a series of lectures for graduate students on elementary number theory. Topics include: Compositions and Partitions; Arithmetic Functions; Distribution of Primes; Irrational Numbers; Congruences; Diophantine Equations; Combinatorial Number Theory; and Geometry of Numbers. Three sections of problems (which include exercises as well as unsolved problems) complete the text."--Publisher's description
Download or read book The theory of numbers and Diophantine analysis written by Robert D. Carmichael and published by . This book was released on 1959 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt:
