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This book covers the following topics: Calculus of smooth mappings, Calculus of holomorphic and real analytic mappings, Partitions of unity, Smoothly realcompact spaces, Extensions and liftings of mappings, Infinite dimensional manifolds, Calculus on infinite dimensional manifolds, Infinite dimensional differential geometry, Manifolds of mappings and Further applications. Sponsored links download books on: Free Mathematical Analysis ebooks online © Copyright 2015-2016. FreeBookCentre.net, All Rights Reserved. .

New version of outstanding textbook catering to international segmentsWell developed, rigorous and not too pedantic subject matterApplication of modern methods to smooth out and shorten classical techniquesSpecial effort has been made to include most of the lecture notes based on author`s decadal teaching experienceABOUT THE BOOK:This book is intended to serve as a text in mathematical analysis for undergraduate and postgraduate students. It opens with a brief outline of the essential properties of rational numbers using Dedekind's cut, and the properties of real numbers are established. This foundation supports the subsequent chapters. The material of some of topics-real sequences and series, continuity, functions of several variables, elementary and implicit functions, Riemann and Riemann-Stieltjes integrals, Lebesgue integrals, line and surface Integrals, double and triple integrals are discussed in details.

Uniform convergence, Power series, Fourier series, and Improper integrals have been presented in a simple and lucid manner. A large number of solved examples taken mostly from lecture notes make the book useful for the students.A chapter on Metric Spaces discussing completeness, compactness and connectedness of the spaces and two appendices discussing Beta-Gamma functions and Cantor's theory of real numbers add glory to the contents of the book.

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