Reader-friendly Introduction to the Measure Theory
by Vasily Nekrasov
Publisher: Yetanotherquant.de 2009
Number of pages: 117
Description:
This is a very clear and user-friendly introduction to the Lebesgue measure theory. The fundamental ideas of the Lebesgue measure are discussed comprehensively, so after reading these notes, you will be able to read any book on Real Analysis and will easily understand Lebesgue integral and other advanced topics.
Download or read it online for free here:
Download link
(multiple PDF files)
Similar books
Lectures on Topics in Analysisby 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.
(6766 views)
Advanced Calculus and Analysisby Ian Craw - University of Aberdeen
Introductory calculus course, with some leanings to analysis. It covers sequences, monotone convergence, limits, continuity, differentiability, infinite series, power series, differentiation of functions of several variables, and multiple integrals.
(23803 views)
Mathematical Methods for Economic Theory: a tutorialby Martin J. Osborne - University of Toronto
This tutorial covers the basic mathematical tools used in economic theory. The main topics are multivariate calculus, concavity and convexity, optimization theory, differential and difference equations. Knowledge of elementary calculus is assumed.
(11639 views)
Real Numbers and Fascinating Fractionsby N. M. Beskin
This text introduces the interesting and valuable concept of continued fractions. Contents: Two Historical Puzzles; Formation of Continued Fractions; Convergents; Non-terminating Continued Fractions; Approximation of Real Numbers.
(10831 views)