History of the Theory of Numbers

History of the Theory of Numbers

Author: Leonard Eugene Dickson

Publisher: Courier Corporation

Published: 2012-01-27

Total Pages: 325

ISBN-13: 0486154610

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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.


History of the Theory of Numbers, Volume III

History of the Theory of Numbers, Volume III

Author: Leonard Eugene Dickson

Publisher: Courier Corporation

Published: 2005-06-03

Total Pages: 325

ISBN-13: 0486442349

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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 final volume in the series, which is suitable for upper-level undergraduates and graduate students, is devoted to quadratic and higher forms. It can be read independently of the preceding volumes, which explore divisibility and primality and diophantine analysis. Topics include reduction and equivalence of binary quadratic forms and representation of integers; composition of binary quadratic forms; the composition of orders and genera; irregular determinants; classes of binary quadratic forms with integral coefficients; binary quadratic forms whose coefficients are complete integers or integers of a field; classes of binary quadratic forms with complex integral coefficients; ternary and quaternary quadratic forms; cubic forms in three or more variables; binary hermitian forms; bilinear forms, matrices, and linear substitutions; congruencial theory of forms; and many other related topics. Indexes of authors cited and subjects appear at the end of the book.


Collected Mathematical Papers: Associative algebras and Riemann matrices

Collected Mathematical Papers: Associative algebras and Riemann matrices

Author: Abraham Adrian Albert

Publisher: American Mathematical Soc.

Published:

Total Pages: 824

ISBN-13: 9780821870556

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This book contains the collected works of A. Adrian Albert, a leading algebraist of the twentieth century. Albert made many important contributions to the theory of the Brauer group and central simple algeras, Riemann matrices, nonassociative algebras and other topics. Part 1 focuses on associative algebras and Riemann matrices part 2 on nonassociative algebras and miscellany. Because much of Albert's work remains of vital interest in contemporary research, this volume will interst mathematicians in a variety of areas.


An Introduction to Number Theory

An Introduction to Number Theory

Author: G. Everest

Publisher: Springer Science & Business Media

Published: 2007-05-21

Total Pages: 296

ISBN-13: 1852339179

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Includes up-to-date material on recent developments and topics of significant interest, such as elliptic functions and the new primality test Selects material from both the algebraic and analytic disciplines, presenting several different proofs of a single result to illustrate the differing viewpoints and give good insight


A History of Abstract Algebra

A History of Abstract Algebra

Author: Israel Kleiner

Publisher: Springer Science & Business Media

Published: 2007-10-02

Total Pages: 175

ISBN-13: 0817646841

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This book explores the history of abstract algebra. It shows how abstract algebra has arisen in attempting to solve some of these classical problems, providing a context from which the reader may gain a deeper appreciation of the mathematics involved.


Isis

Isis

Author: George Sarton

Publisher:

Published: 1924

Total Pages: 700

ISBN-13:

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"Brief table of contents of vols. I-XX" in v. 21, p. [502]-618.