Leonard Eugene Dickson's Books

History of the Theory of Numbers

Diophantine Analysis

By: Leonard Eugene Dickson

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History of the Theory of Numbers

Diophantine Analysis

By: Leonard Eugene Dickson

Written by a distinguished University of Chicago professor, this 2nd volume in the series History of the Theory of Numbers presents material related to Diophantine Analysis. 1919 edition.

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834

Publisher

Courier Corporation

Published Date

ISBN 10

0486154602

ISBN 13

9780486154602

History of the Theory of Numbers, Volume III

Quadratic and Higher Forms

By: Leonard Eugene Dickson,G. H. Cresse

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History of the Theory of Numbers, Volume III

Quadratic and Higher Forms

By: Leonard Eugene Dickson,G. H. Cresse

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.

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325

Publisher

Courier Corporation

Published Date

ISBN 10

0486442349

ISBN 13

9780486442341

History of the Theory of Numbers, Volume II

Diophantine Analysis

By: Leonard Eugene Dickson

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History of the Theory of Numbers, Volume II

Diophantine Analysis

By: Leonard Eugene Dickson

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.

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834

Publisher

Courier Corporation

Published Date

ISBN 10

0486442330

ISBN 13

9780486442334

History of the Theory of Numbers, Volume I

Divisibility and Primality

By: Leonard Eugene Dickson

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History of the Theory of Numbers, Volume I

Divisibility and Primality

By: Leonard Eugene Dickson

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.

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514

Publisher

Courier Corporation

Published Date

ISBN 10

0486442322

ISBN 13

9780486442327

On Invariants and the Theory of Numbers

By: Leonard Eugene Dickson

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On Invariants and the Theory of Numbers

By: Leonard Eugene Dickson

Of enormous historical importance, this classic offered the first public formulation of Dickson's theory of invariants for modular forms and linear transformations. In many sections of the five lectures included here, Dickson aimed not at complete generality, but at an illumination of typical and suggestive topics. The introductory lecture is followed by sections on seminvariants of algebraic and modular binary forms; invariants of a modular group and formal invariants and covariants of modular forms; modular geometry and covariantive theory of a quadratic form in m variables, modulo 2; and a theory of plane cubic curves with a real inflexion point valid in ordinary and in modular geometry. 1914 ed.

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Page Count

128

Publisher

Courier Corporation

Published Date

ISBN 10

0486438287

ISBN 13

9780486438283

History of the Theory of Numbers, Volume I

Divisibility and Primality

By: Leonard Eugene Dickson

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History of the Theory of Numbers, Volume I

Divisibility and Primality

By: Leonard Eugene Dickson

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514

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Courier Corporation

Published Date

ISBN 10

0486442322

ISBN 13

9780486442327

The Kinetic Theory of Gases

By: Leonard B. Loeb

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The Kinetic Theory of Gases

By: Leonard B. Loeb

A pioneering text in its field, this comprehensive study is one of the most valuable texts and references available. The author explores the classical kinetic theory in the first four chapters, with discussions of the mechanical picture of a perfect gas, the mean free path, and the distribution of molecular velocities. Tbhe fifth chapter deals with the more accurate equations of state, or Van der Waals' equation, and later chapters examine viscosity, heat conduction, surface phenomena, and Browninan movements. The text surveys the application of quantum theory to the problem of specific heats and the contributions of kinetic theory to knowledge of electrical and magnetic properties of molecules, concluding with applications of the kinetic theory to the conduction of electricity in gases. 1934 edition.

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Page Count

746

Publisher

Courier Corporation

Published Date

ISBN 10

0486495728

ISBN 13

9780486495729

History of the Theory of Numbers, Volume III

Quadratic and Higher Forms

By: Leonard Eugene Dickson,G. H. Cresse

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History of the Theory of Numbers, Volume III

Quadratic and Higher Forms

By: Leonard Eugene Dickson,G. H. Cresse

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Page Count

325

Publisher

Courier Corporation

Published Date

ISBN 10

0486442349

ISBN 13

9780486442341

History of the Theory of Numbers

Diophantine Analysis

By: Leonard Eugene Dickson

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History of the Theory of Numbers

Diophantine Analysis

By: Leonard Eugene Dickson

Written by a distinguished University of Chicago professor, this 2nd volume in the series History of the Theory of Numbers presents material related to Diophantine Analysis. 1919 edition.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

834

Publisher

Courier Corporation

Published Date

ISBN 10

0486154602

ISBN 13

9780486154602

Book's by Leonard Eugene Dickson

History of the Theory of Numbers

History of the Theory of Numbers

History of the Theory of Numbers, Volume III

History of the Theory of Numbers, Volume III

History of the Theory of Numbers, Volume II

History of the Theory of Numbers, Volume II

History of the Theory of Numbers, Volume I

History of the Theory of Numbers, Volume I

On Invariants and the Theory of Numbers

On Invariants and the Theory of Numbers

History of the Theory of Numbers, Volume I

History of the Theory of Numbers, Volume I

The Kinetic Theory of Gases

The Kinetic Theory of Gases

History of the Theory of Numbers, Volume III

History of the Theory of Numbers, Volume III

History of the Theory of Numbers

History of the Theory of Numbers

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