Grenander's text, a systematic account of the theory of probability for certain sample spaces with algebraic structure, covers semi-groups, groups, linear vector spaces, and algebra. It states and studies fundamental probabilistic problems for these spaces, focusing on concrete results rather than on... read more
Nonstandard Methods in Stochastic Analysis and Mathematical Physics by Sergio Albeverio, Jens Erik Fenstad, Raphael Høegh-Krohn, Tom Lindstrøm Two-part treatment begins with a self-contained introduction to the subject, followed by applications to stochastic analysis and mathematical physics. "A welcome addition." — Bulletin of the American Mathematical Society. 1986 edition.
Algebra by Larry C. Grove This graduate-level text is intended for initial courses in algebra that proceed at a faster pace than undergraduate-level courses. Subjects include groups, rings, fields, and Galois theory. 1983 edition. Includes 11 figures. Appendix. References. Index.
Abstract Algebra and Solution by Radicals by John E. Maxfield, Margaret W. Maxfield Accessible advanced undergraduate-level text starts with groups, rings, fields, and polynomials and advances to Galois theory, radicals and roots of unity, and solution by radicals. Numerous examples, illustrations, exercises, appendixes. 1971 edition.
Basic Algebra II: Second Edition by Nathan Jacobson This classic text and standard reference comprises all subjects of a first-year graduate-level course, including in-depth coverage of groups and polynomials and extensive use of categories and functors. 1989 edition.
Modern Algebra by Seth Warner Standard text provides an exceptionally comprehensive treatment of every aspect of modern algebra. Explores algebraic structures, rings and fields, vector spaces, polynomials, linear operators, much more. Over 1,300 exercises. 1965 edition.
Grenander's text, a systematic account of the theory of probability for certain sample spaces with algebraic structure, covers semi-groups, groups, linear vector spaces, and algebra. It states and studies fundamental probabilistic problems for these spaces, focusing on concrete results rather than on general and complete answers. An introductory chapter offers historical background on the study of probabilities. Subsequent chapters explore stochastic semi-groups, compact and commutative stochastic groups, stochastic Lie groups, and locally compact stochastic groups. Additional topics include stochastic linear spaces and stochastic algebras. The techniques of Fourier analysis receive particular attention, serving as the main analytical tools in obtaining limit theorems for convolutions of probability distributions. Theoretical developments are accompanied by a number of examples, some of them of considerable scope.
Reprint of the John Wiley & Sons, New York, 1963 edition.
This book was printed in the United States of America.
Dover books are made to last a lifetime. Our US book-manufacturing partners produce the highest quality books in the world and they create jobs for our fellow citizens. Manufacturing in the United States also ensures that our books are printed in an environmentally friendly fashion, on paper sourced from responsibly managed forests.