Real analysis : measures, integrals and applications / Boris Makarov, Anatolii Podkorytov
Type de document : Livre numériqueCollection : UniversitextLangue : anglais.Éditeur : New York : Springer, 2013ISBN: 9781447151227.ISSN: 2191-6675.Sujet MSC : 28-01, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to measure and integration28Axx, Measure and integration - Classical measure theory
42A16, Harmonic analysis on Euclidean spaces, in one variable, Fourier coefficients, Fourier series of functions with special properties, special Fourier seriesEn-ligne : Springerlink | Zentralblatt | MathSciNet
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This carefully prepared textbook from Springer’s Universitext series devotes to a modern version of classical calculus. The authors base the standard theory of integration and differentiation on a more general (in fact, more simple) approach of measure theory. The presented exposition allows to more easily integrate calculus into modern analysis and it includes several attractive applications (Brun-Minkowski and Brower theorems, Khintchine and K. Ball inequalities etc.). The text is accompanied by a lot of examples and exercises. (Zentralblatt)
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