Theory of the Integral
by Stanislaw Saks
Publisher: Polish Mathematical Society 1937
ISBN/ASIN: 0486446484
Number of pages: 347
Description:
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; functions of bounded variation and the Lebesgue-Stieltjes integral; the derivation of additive functions of a set and of an interval; and more.
Download or read it online for free here:
Download link
(multiple PDF files)
Similar books
Applied Analysisby I.M. Sigal, M. Merkli - University of Toronto
In this course, we deal with modern analysis. Properties of functions are studied as much as they are needed for understanding maps. More specifically, our emphasis is on applications of modern analysis and the material is selected accordingly.
(3985 views)
An Introduction to Asymptotic Analysisby Simon J.A. Malham - Heriot-Watt University
From the table of contents: Order notation; Perturbation methods; Asymptotic series; Laplace integrals (Laplace's method, Watson's lemma); Method of stationary phase; Method of steepest descents; Bibliography; Notes; Exam formula sheet; etc.
(3263 views)
Multivector Differential Calculusby Eckhard Hitzer - arXiv
This paper treats the fundamentals of the multivector differential calculus part of geometric calculus. The multivector differential is introduced, followed by the multivector derivative and the adjoint of multivector functions.
(6732 views)
Set Theory and Topology: An Introduction to the Foundations of Analysisby Felix Nagel - arXiv
We provide a formal introduction into the classic theorems of general topology and its axiomatic foundations in set theory. The exposition in this first part includes relation and order theory as well as a construction of number systems.
(7457 views)