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Author: G. E. Shilov Publisher: Courier Corporation ISBN: 0486165612 Category : Mathematics Languages : en Pages : 258
Book Description
This treatment examines the general theory of the integral, Lebesque integral in n-space, the Riemann-Stieltjes integral, and more. "The exposition is fresh and sophisticated, and will engage the interest of accomplished mathematicians." — Sci-Tech Book News. 1966 edition.
Author: G. E. Shilov Publisher: Courier Corporation ISBN: 0486165612 Category : Mathematics Languages : en Pages : 258
Book Description
This treatment examines the general theory of the integral, Lebesque integral in n-space, the Riemann-Stieltjes integral, and more. "The exposition is fresh and sophisticated, and will engage the interest of accomplished mathematicians." — Sci-Tech Book News. 1966 edition.
Author: R.E. Edwards Publisher: Courier Corporation ISBN: 0486145107 Category : Mathematics Languages : en Pages : 802
Book Description
"The book contains an enormous amount of information — mathematical, bibliographical and historical — interwoven with some outstanding heuristic discussions." — Mathematical Reviews. In this massive graduate-level study, Emeritus Professor Edwards (Australian National University, Canberra) presents a balanced account of both the abstract theory and the applications of linear functional analysis. Written for readers with a basic knowledge of set theory, general topology, and vector spaces, the book includes an abundance of carefully chosen illustrative examples and excellent exercises at the end of each chapter. Beginning with a chapter of preliminaries on set theory and topology, Dr. Edwards then presents detailed, in-depth discussions of vector spaces and topological vector spaces, the Hahn-Banach theorem (including applications to potential theory, approximation theory, game theory, and other fields) and fixed-point theorems. Subsequent chapters focus on topological duals of certain spaces: radon measures, distribution and linear partial differential equations, open mapping and closed graph theorems, boundedness principles, duality theory, the theory of compact operators and the Krein-Milman theorem and its applications to commutative harmonic analysis. Clearly and concisely written, Dr. Edwards's book offers rewarding reading to mathematicians and physicists with an interest in the important field of functional analysis. Because of the broad scope of its coverage, this volume will be especially valuable to the reader with a basic knowledge of functional analysis who wishes to learn about parts of the subject other than his own specialties. A comprehensive 32-page bibliography supplies a rich source of references to the basic literature.
Author: David N. Burghes Publisher: ISBN: Category : Mathematics Languages : en Pages : 184
Book Description
Motivated by the authors' combined ability and experience, this book is about the concepts of mathematical modelling with the use of differential equations, as a powerful technique of mathematical analysis. It is both enjoyable to read, and informative. The reader's mind is continually exercised by enlightenment, or recollection, or enquiry; either something new is to be learned, or something known is to be re-examined. It is with mathematical clarity that the authors explain the theory of ordinary differential equations and introduce their manifold applications. They show a skillful and imaginative succession of applications introducing such instances as accident risk or fish population; forgery detection in old masters or kidney life-support machines; and many others. They show the influence of these mathematical probes into problems occurring in biology, economics, geography, medicine, planning, psychology, or sociology.
Author: A. N. Kolmogorov Publisher: Courier Corporation ISBN: 0486612260 Category : Mathematics Languages : en Pages : 418
Book Description
Comprehensive, elementary introduction to real and functional analysis covers basic concepts and introductory principles in set theory, metric spaces, topological and linear spaces, linear functionals and linear operators, more. 1970 edition.
Author: G. E. Shilov
Author: G. E. Shilov
Author: Paul A. Foerster
Author: ANONIMO
Author: R.E. Edwards
Author: David N. Burghes
Author: François Ramade
Author: A. N. Kolmogorov
Author: Ron Larson
Author: Ronald Bailey
Author: Ron Larson