عنوان
پدید آورنده
موضوع
رده
QA184
QA184
کتابخانه
محل استقرار
INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
1461463335 (electronic bk.)
(Number (ISBN
9781461463337 (electronic bk.)
Erroneous ISBN
9781461463320
NATIONAL BIBLIOGRAPHY NUMBER
Number
dltt
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
The mathematics of Frobenius in context
General Material Designation
[Book]
Other Title Information
a journey through 18th to 20th Century mathematics /
First Statement of Responsibility
Thomas Hawkins
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
New York :
Name of Publisher, Distributor, etc.
Springer,
Date of Publication, Distribution, etc.
c2013
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
1 online resource (xiii, 699 p.)
SERIES
Series Title
Sources and studies in the history of mathematics and physical sciences
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references (p. 659-685) and index
CONTENTS NOTE
Text of Note
A Berlin Education -- Professor at the Zurich Polytechnic: 1874-1892 -- 3 Berlin Professor: 1892-1917 -- The Paradigm: Weierstrass' Memoir of 1858 -- Further Development of the Paradigm: 1858-1874 -- The Problem of Pfaff -- The Cayley-Hermite Problem and Matrix Algebra -- Arithmetic Investigations: Linear Algebra -- Arithmetic Investigations: Groups -- Abelian functions : problems of Hermite and Kronecker -- Frobenius' generalized theory of theta functions -- The group determinant problem -- Group characters and representations, 1896-1897 -- Alternative routes to representation theory -- Characters and representations after 1897 -- Loose ends -- Nonnegative matrices -- The mathematics of Frobenius in retrospect
0
SUMMARY OR ABSTRACT
Text of Note
Frobenius made many important contributions to mathematics in the latter part of the 19th century. Hawkins here focuses on his work in linear algebra and its relationship with the work of Burnside, Cartan, and Molien, and its extension by Schur and Brauer. He also discusses the Berlin school of mathematics and the guiding force of Weierstrass in that school, as well as the fundamental work of d'Alembert, Lagrange, and Laplace, and of Gauss, Eisenstein and Cayley that laid the groundwork for Frobenius's work in linear algebra. The book concludes with a discussion of Frobenius's contribution to the theory of stochastic matrices
PIECE
Title
OhioLINK electronic book center (Online)
Title
SpringerLink
PERSONAL NAME USED AS SUBJECT
Frobenius, Ferdinand Georg,1849-1917
TOPICAL NAME USED AS SUBJECT
Algebras, Linear-- History
Mathematics-- History
(SUBJECT CATEGORY (Provisional
MAT-- 002040
DEWEY DECIMAL CLASSIFICATION
Number
512
.
5
Edition
22
LIBRARY OF CONGRESS CLASSIFICATION
Class number
QA184
Class number
QA184
PERSONAL NAME - PRIMARY RESPONSIBILITY
Hawkins, Thomas,1938-
CORPORATE BODY NAME - ALTERNATIVE RESPONSIBILITY
Ohio Library and Information Network
ORIGINATING SOURCE
Date of Transaction
20210107121833.0
Cataloguing Rules (Descriptive Conventions))
pn
ELECTRONIC LOCATION AND ACCESS
Electronic name
مطالعه متن کتاب [Book]
270410
Y
