Free Download BookIntroductory Real Analysis (Dover Books on Mathematics)

[Ebook.tJHt] Introductory Real Analysis (Dover Books on Mathematics)

[Ebook.tJHt] Introductory Real Analysis (Dover Books on Mathematics)

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This volume in Richard Silverman's exceptional series of translations of Russian works in the mathematical science is a comprehensive, elementary introduction to real and functional analysis by two faculty members from Moscow University. It is self-contained, evenly paced, eminently readable, and readily accessible to those with adequate preparation in advanced calculus.The first four chapters present basic concepts and introductory principles in set theory, metric spaces, topological spaces, and linear spaces. The next two chapters consider linear functionals and linear operators, with detailed discussions of continuous linear functionals, the conjugate space, the weak topology and weak convergence, generalized functions, basic concepts of linear operators, inverse and adjoint operators, and completely continuous operators. The final four chapters cover measure, integration, differentiation, and more on integration. Special attention is here given to the Lebesque integral, Fubini's theorem, and the Stieltjes integral. Each individual section — there are 37 in all — is equipped with a problem set, making a total of some 350 problems, all carefully selected and matched.With these problems and the clear exposition, this book is useful for self-study or for the classroom — it is basic one-year course in real analysis. Dr. Silverman is a former member of the Institute of Mathematical Sciences of New York University and the Lincoln Library of M.I.T. Along with his translation, he has revised the text with numerous pedagogical and mathematical improvements and restyled the language so that it is even more readable. Books in the Mathematical Sciences This site is intended as a resource for university students in the mathematical sciences. Books are recommended on the basis of readability and other pedagogical value. Numbers: Histories Mysteries Theories - Dover Books Posing the question "What exactly is a number?" a renowned German mathematician presents this accessible introduction. In addition to characterizing the wealth of ... Graduate Texts in Mathematics - Wikipedia Graduate Texts in Mathematics (GTM) (ISSN 0072-5285) is a series of graduate-level textbooks in mathematics published by Springer-Verlag. The books in this series ... Applied Mathematics - Free E-Books Applied Mathematics - list of freely downloadable books at E-Books Directory List of important publications in mathematics - Wikipedia This is a list of important publications in mathematics organized by field. Some reasons why a particular publication might be regarded as important: Complex Analysis - Free E-Books Complex Analysis - list of freely downloadable books at E-Books Directory Aurora: Dover Modern Math Originals Dover Math Books ... Introducing Aurora: Dover Modern Math Originals: Since 1941 Dover has reissued some of the most influential works in all areas of mathematics. Now we are proud to ... Best books for mathematical background? - Stack Exchange The last book I read on "background in math for physicists" was "Mathematics for Physics" by Stone and Goldbart and I enjoyed it quite a bit. Discrete Mathematics -- from Wolfram MathWorld Discrete mathematics is the branch of mathematics dealing with objects that can assume only distinct separated values. The term "discrete mathematics" is therefore ... Mathematics Books Math Books - Dover Publications Dover is most recognized for our magnificent math books list. Dover books on mathematics include authors Paul J. Cohen ( Set Theory and the Continuum ...
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