Elementary Mathematical Analysis
by J.W. Young, F.M. Morgan
Publisher: The Macmillan Company 1917
Number of pages: 586
This book aims to present a course suitable for students in the first year of our colleges, universities, and technical schools. It presupposes on the part of the student only the usual minimum entrance requirements in elementary algebra and plane geometry.
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by Raghavan Narasimhan - Tata Institute of Fundamental Research
Topics covered: Differentiable functions in Rn; Manifolds; Vector bundles; Linear differential operators; Cauchy Kovalevski Theorem; Fourier transforms, Plancherel's theorem; Sobolev spaces Hm,p; Elliptic differential operators; etc.
by Stanislaw Saks - Polish Mathematical Society
Covering all the standard topics, the author begins with a discussion of the integral in an abstract space, additive classes of sets, measurable functions, and integration of sequences of functions. Succeeding chapters cover Caratheodory measure.
by L. Schwartz - Tata Institute of Fundamental Research
These Notes cover I) disintegration of a measure with respect to a single sigma-algebra, and in part II, measure valued supermartingales and regular disintegration of a measure with respect to an increasing right continuous family of sigma-algebras.
by Sergei M. Sitnik - arXiv
We consider main transmutation theory topics with many applications, including author's own results. The topics covered are: transmutations for Sturm-Liouville operators, Vekua-Erdelyi-Lowndes transmutations, Sonine and Poisson transmutations, etc.