Elementary Functional Analysis (Dover Books on Mathematics)

By Georgi E. Shilov.

Elementary Functional Analysis (Dover Books on Mathematics)

Description

In this introductory work on mathematical analysis, the noted mathematician Georgi E. Shilov begins with an extensive and important chapter on the basic structures of mathematical analysis: linear spaces, metric spaces, normed linear spaces, Hilbert spaces, and normed algebras. The standard models for all these spaces are sets of functions (hence the term "functional analysis"), rather than sets of points in a finite-dimensional space.Chapter 2 is devoted to differential equations, and contains the basic theorems on existence and uniqueness of solutions of ordinary differential eq...

ISBN(s)

0486689239, 9780486689234

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