by J. Hunter, B. Nachtergaele
Publisher: World Scientific Publishing Company 2005
Number of pages: 439
Introduces applied analysis at the graduate level, particularly those parts of analysis useful in graduate applications. Only a background in basic calculus, linear algebra and ordinary differential equations, and functions and sets is required in order to fully understand the material presented.
Home page url
Download or read it online for free here:
(multiple PDF files)
by Anthony W. Knapp - Birkhäuser
A comprehensive treatment with a global view of the subject, emphasizing connections between real analysis and other branches of mathematics. Included throughout are many examples and hundreds of problems, with hints or complete solutions for most.
by Casper Goffman, at al. - American Mathematical Society
This book features the interplay of two main branches of mathematics: topology and real analysis. The text covers Lebesgue measurability, Baire classes of functions, differentiability, the Blumberg theorem, various theorems on Fourier series, etc.
by Shanti Narayan - S.Chand And Company
Contents: Dedekind's theory of Real Numbers; Bounds and Limiting Points; Sequences; Real Valued Functions of a Real Variable; The derivative; Riemann Theory of Integration; Uniform Convergence; Improper Integrals; Fourier Series; and more.
by Juha Heinonen
In these lectures, we concentrate on the theory of Lipschitz functions in Euclidean spaces. From the table of contents: Introduction; Extension; Differentiability; Sobolev spaces; Whitney flat forms; Locally standard Lipschitz structures.