Synopsis of Linear Associative Algebra
Author : James Byrnie Shaw
Publisher :
Page : 154 pages
File Size : 42,96 MB
Release : 1907
Category : Mathematics
ISBN :
Author : James Byrnie Shaw
Publisher :
Page : 154 pages
File Size : 42,96 MB
Release : 1907
Category : Mathematics
ISBN :
Author :
Publisher :
Page : 158 pages
File Size : 35,59 MB
Release : 1907
Category : Science
ISBN :
Author : George Shoobridge Carr
Publisher : Cambridge University Press
Page : 719 pages
File Size : 28,65 MB
Release : 2013-09-05
Category : Mathematics
ISBN : 1108050689
This two-volume (1880-6) teaching aid for the Cambridge Mathematical Tripos greatly influenced the education of Srinivasa Ramanujan (1887-1920).
Author : Florian Cajori
Publisher : American Mathematical Society
Page : 524 pages
File Size : 12,39 MB
Release : 2022-05-02
Category : Mathematics
ISBN : 1470470594
Originally issued in 1893, this popular Fifth Edition (1991) covers the period from antiquity to the close of World War I, with major emphasis on advanced mathematics and, in particular, the advanced mathematics of the nineteenth and early twentieth centuries. In one concise volume this unique book presents an interesting and reliable account of mathematics history for those who cannot devote themselves to an intensive study. The book is a must for personal and departmental libraries alike. Cajori has mastered the art of incorporating an enormous amount of specific detail into a smooth-flowing narrative. The Index—for example—contains not just the 300 to 400 names one would expect to find, but over 1,600. And, for example, one will not only find John Pell, but will learn who he was and some specifics of what he did (and that the Pell equation was named erroneously after him). In addition, one will come across Anna J. Pell and learn of her work on biorthogonal systems; one will find not only H. Lebesgue but the not unimportant (even if not major) V.A. Lebesgue. Of the Bernoullis one will find not three or four but all eight. One will find R. Sturm as well as C. Sturm; M. Ricci as well as G. Ricci; V. Riccati as well as J.F. Riccati; Wolfgang Bolyai as well as J. Bolyai; the mathematician Martin Ohm as well as the physicist G.S. Ohm; M. Riesz as well as F. Riesz; H.G. Grassmann as well as H. Grassmann; H.P. Babbage who continued the work of his father C. Babbage; R. Fuchs as well as the more famous L. Fuchs; A. Quetelet as well as L.A.J. Quetelet; P.M. Hahn and Hans Hahn; E. Blaschke and W. Blaschke; J. Picard as well as the more famous C.E. Picard; B. Pascal (of course) and also Ernesto Pascal and Etienne Pascal; and the historically important V.J. Bouniakovski and W.A. Steklov, seldom mentioned at the time outside the Soviet literature.
Author : J.-L. Dorier
Publisher : Springer Science & Business Media
Page : 302 pages
File Size : 48,3 MB
Release : 2005-12-27
Category : Education
ISBN : 0306472244
This book presents the state-of-the-art research on the teaching and learning of linear algebra in the first year of university, in an international perspective. It provides university teachers in charge of linear algebra courses with a wide range of information from works including theoretical and experimental issues.
Author :
Publisher :
Page : 380 pages
File Size : 48,45 MB
Release : 1920
Category : Science
ISBN :
Author : American Mathematical Society
Publisher :
Page : 572 pages
File Size : 26,23 MB
Release : 1915
Category : Electronic journals
ISBN :
Monthly journal devoted entirely to research in pure and applied mathematics, and, in general, includes longer papers than those in the Proceedings of the American Mathematical Society.
Author : American Mathematical Society
Publisher : American Mathematical Soc.
Page : 328 pages
File Size : 35,97 MB
Release : 1938
Category : Mathematics
ISBN : 9780821801192
Offers brief treatises on several mathematical areas and a historical summary of American contributions to mathematics during the Society's first fifty years.
Author : Abraham Adrian Albert
Publisher : American Mathematical Soc.
Page : 224 pages
File Size : 43,47 MB
Release : 1939-12-31
Category : Mathematics
ISBN : 0821810243
The first three chapters of this work contain an exposition of the Wedderburn structure theorems. Chapter IV contains the theory of the commutator subalgebra of a simple subalgebra of a normal simple algebra, the study of automorphisms of a simple algebra, splitting fields, and the index reduction factor theory. The fifth chapter contains the foundation of the theory of crossed products and of their special case, cyclic algebras. The theory of exponents is derived there as well as the consequent factorization of normal division algebras into direct factors of prime-power degree. Chapter VI consists of the study of the abelian group of cyclic systems which is applied in Chapter VII to yield the theory of the structure of direct products of cyclic algebras and the consequent properties of norms in cyclic fields. This chapter is closed with the theory of $p$-algebras. In Chapter VIII an exposition is given of the theory of the representations of algebras. The treatment is somewhat novel in that while the recent expositions have used representation theorems to obtain a number of results on algebras, here the theorems on algebras are themselves used in the derivation of results on representations. The presentation has its inspiration in the author's work on the theory of Riemann matrices and is concluded by the introduction to the generalization (by H. Weyl and the author) of that theory. The theory of involutorial simple algebras is derived in Chapter X both for algebras over general fields and over the rational field. The results are also applied in the determination of the structure of the multiplication algebras of all generalized Riemann matrices, a result which is seen in Chapter XI to imply a complete solution of the principal problem on Riemann matrices.
Author :
Publisher :
Page : 346 pages
File Size : 47,56 MB
Release : 1913
Category : Mathematicians
ISBN :
Includes section "Recent publications."