History Of The Theory Of Numbers

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History Of The Theory Of Numbers - I

Author : Leonard Eugene Dickson
Publisher : Legare Street Press
Page : 0 pages
File Size : 41,9 Mb
Release : 2023-07-22
Category : Electronic
ISBN : 1022888676

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History Of The Theory Of Numbers - I by Leonard Eugene Dickson Pdf

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.

History of the Theory of Numbers

Author : Leonard Eugene Dickson
Publisher : Courier Corporation
Page : 514 pages
File Size : 52,6 Mb
Release : 2012-01-27
Category : Mathematics
ISBN : 9780486154596

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History of the Theory of Numbers by Leonard Eugene Dickson Pdf

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.

Number Theory and Its History

Author : Oystein Ore
Publisher : Courier Corporation
Page : 400 pages
File Size : 47,5 Mb
Release : 2012-07-06
Category : Mathematics
ISBN : 9780486136431

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Number Theory and Its History by Oystein Ore Pdf

Unusually clear, accessible introduction covers counting, properties of numbers, prime numbers, Aliquot parts, Diophantine problems, congruences, much more. Bibliography.

History of the Theory of Numbers

Author : Leonard Eugene Dickson
Publisher : Unknown
Page : 128 pages
File Size : 54,8 Mb
Release : 1956
Category : Electronic
ISBN : OCLC:640802444

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History of the Theory of Numbers by Leonard Eugene Dickson Pdf

An Illustrated Theory of Numbers

Author : Martin H. Weissman
Publisher : American Mathematical Soc.
Page : 341 pages
File Size : 46,7 Mb
Release : 2020-09-15
Category : Education
ISBN : 9781470463717

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An Illustrated Theory of Numbers by Martin H. Weissman Pdf

News about this title: — Author Marty Weissman has been awarded a Guggenheim Fellowship for 2020. (Learn more here.) — Selected as a 2018 CHOICE Outstanding Academic Title — 2018 PROSE Awards Honorable Mention An Illustrated Theory of Numbers gives a comprehensive introduction to number theory, with complete proofs, worked examples, and exercises. Its exposition reflects the most recent scholarship in mathematics and its history. Almost 500 sharp illustrations accompany elegant proofs, from prime decomposition through quadratic reciprocity. Geometric and dynamical arguments provide new insights, and allow for a rigorous approach with less algebraic manipulation. The final chapters contain an extended treatment of binary quadratic forms, using Conway's topograph to solve quadratic Diophantine equations (e.g., Pell's equation) and to study reduction and the finiteness of class numbers. Data visualizations introduce the reader to open questions and cutting-edge results in analytic number theory such as the Riemann hypothesis, boundedness of prime gaps, and the class number 1 problem. Accompanying each chapter, historical notes curate primary sources and secondary scholarship to trace the development of number theory within and outside the Western tradition. Requiring only high school algebra and geometry, this text is recommended for a first course in elementary number theory. It is also suitable for mathematicians seeking a fresh perspective on an ancient subject.

Number Theory and Its History

Author : Oystein Ore
Publisher : Courier Corporation
Page : 404 pages
File Size : 42,9 Mb
Release : 1988-01-01
Category : Mathematics
ISBN : 0486656209

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Number Theory and Its History by Oystein Ore Pdf

Unusually clear, accessible introduction covers counting, properties of numbers, prime numbers, Aliquot parts, Diophantine problems, congruences, much more. Bibliography.

History of the Theory of Numbers

Author : Leonard Eugene Dickson
Publisher : Unknown
Page : 128 pages
File Size : 50,9 Mb
Release : 1952
Category : Mathematics
ISBN : LCCN:19007579

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History of the Theory of Numbers by Leonard Eugene Dickson Pdf

History of the Theory of Numbers; Volume 2

Author : Leonard E 1874- Dickson
Publisher : Legare Street Press
Page : 0 pages
File Size : 55,8 Mb
Release : 2022-10-27
Category : Electronic
ISBN : 1017470146

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History of the Theory of Numbers; Volume 2 by Leonard E 1874- Dickson Pdf

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.

History of the Theory of Numbers

Author : Leonard Eugene Dickson
Publisher : American Mathematical Soc.
Page : 830 pages
File Size : 49,8 Mb
Release : 1999
Category : Diophantine analysis
ISBN : 0821819356

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History of the Theory of Numbers by Leonard Eugene Dickson Pdf

History of the Theory of Numbers

Author : Leonard Eugene Dickson
Publisher : Chelsea Publishing Company, Incorporated
Page : 520 pages
File Size : 42,8 Mb
Release : 1966
Category : Mathematics
ISBN : OSU:32435028850204

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History of the Theory of Numbers by Leonard Eugene Dickson Pdf

History of the Theory of Numbers, Volume I

Author : Leonard Eugene Dickson
Publisher : Courier Corporation
Page : 514 pages
File Size : 53,9 Mb
Release : 2005-06-03
Category : Mathematics
ISBN : 9780486442327

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History of the Theory of Numbers, Volume I by Leonard Eugene Dickson Pdf

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.

History of the Theory of Numbers, Volume II

Author : Leonard Eugene Dickson
Publisher : Courier Corporation
Page : 834 pages
File Size : 49,5 Mb
Release : 2005-06-07
Category : Mathematics
ISBN : 9780486442334

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History of the Theory of Numbers, Volume II by Leonard Eugene Dickson Pdf

The three-volume series History of the Theory of Numbers is the work of the distinguished mathematician Leonard Eugene Dickson, who taught at the University of Chicago for four decades and is celebrated for his many contributions to number theory and group theory. This second volume in the series, which is suitable for upper-level undergraduates and graduate students, is devoted to the subject of diophantine analysis. It can be read independently of the preceding volume, which explores divisibility and primality, and volume III, which examines quadratic and higher forms. Featured topics include polygonal, pyramidal, and figurate numbers; linear diophantine equations and congruences; partitions; rational right triangles; triangles, quadrilaterals, and tetrahedra; the sums of two, three, four, and n squares; the number of solutions of quadratic congruences in n unknowns; Liouville's series of eighteen articles; the Pell equation; squares in arithmetical or geometrical progression; equations of degrees three, four, and n; sets of integers with equal sums of like powers; Waring's problem and related results; Fermat's last theorem; and many other related subjects. Indexes of authors cited and subjects appear at the end of the book.

The Theory of Numbers

Author : Andrew Adler,John E. Coury
Publisher : Jones & Bartlett Publishers
Page : 424 pages
File Size : 41,6 Mb
Release : 1995
Category : Mathematics
ISBN : UOM:39015048558236

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The Theory of Numbers by Andrew Adler,John E. Coury Pdf

History of the Theory of Numbers

Author : Leonard Eugene Dickson
Publisher : Courier Corporation
Page : 325 pages
File Size : 42,7 Mb
Release : 2012-01-27
Category : Mathematics
ISBN : 9780486154619

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History of the Theory of Numbers by Leonard Eugene Dickson Pdf

This 3rd volume in the series History of the Theory of Numbers presents material related to Quadratic and Higher Forms. Volume III is mainly concerned with general theories rather than with special problems and special theorems. The investigations deal with the most advanced parts of the theory of numbers. 1919 edition.