Aim of this lecture note is to develop an understanding of the statements of the theorems and how to apply them carefully. Major topics covered are: Measure spaces, Outer measure, null set, measurable set, The Cantor set, Lebesgue measure on the real line, Counting measure, Probability measures, Construction of a non-measurable set, Measurable function, simple function, integrable function, Reconciliation with the integral introduced in Prelims, Simple comparison theorem, Theorems of Fubini and Tonelli. This lecture notes is really good for studying integral calculus, this note contains the following subcategories Sigma Sum, The De nite Integrals and the Fundamental Theorem, Applications of Definite Integrals, Differentials, The Chain Rule in Terms of Differentials, The Product Rule in Terms of Differentials, Integration by Substitution, Integration by Partial Fractions, Applications of Integrals, Elementary integrals and Hyperbolic Functions Sponsored links download books on: Free Integral Calculus ebooks online © Copyright 2015-2016.

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