Logo

Theory of Functions of a Real Variable

Large book cover: Theory of Functions of a Real Variable

Theory of Functions of a Real Variable
by


Number of pages: 393

Description:
I have taught the beginning graduate course in real variables and functional analysis three times in the last five years, and this book is the result. The course assumes that the student has seen the basics of real variable theory and point set topology. Contents: the topology of metric spaces, Hilbert spaces and compact operators, the Fourier transform, measure theory, the Lebesgue integral, the Daniell integral, Wiener measure, Brownian motion and white noise, Haar measure, Banach algebras and the spectral theorem, Stone’s theorem, scattering theory.

Home page url

Download or read it online for free here:
Download link
(1.5MB, PDF)

Similar books

Book cover: Undergraduate Analysis ToolsUndergraduate Analysis Tools
by - University of California, San Diego
Contents: Natural, integer, and rational Numbers; Fields; Real Numbers; Complex Numbers; Set Operations, Functions, and Counting; Metric Spaces; Series and Sums in Banach Spaces; Topological Considerations; Differential Calculus in One Real Variable.
(2942 views)
Book cover: An Introductory Course Of Mathematical AnalysisAn Introductory Course Of Mathematical Analysis
by - Cambridge University Press
Originally published in 1926, this text was aimed at first-year undergraduates studying physics and chemistry, to help them become acquainted with the concepts and processes of differentiation and integration. A prominence is given to inequalities.
(1879 views)
Book cover: Differential CalculusDifferential Calculus
by - Université Paris VI
The notes provide a short presentation of the main concepts of differential calculus. Our point of view is the abstract setting of a real normed space, and when necessary to specialize to the case of a finite dimensional space endowed with a basis.
(4235 views)
Book cover: Introduction to Mathematical AnalysisIntroduction to Mathematical Analysis
by - Portland State University Library
We provide students with a strong foundation in mathematical analysis. Students should be familiar with most of the concepts presented here after completing the calculus sequence. However, these concepts will be reinforced through rigorous proofs.
(4354 views)