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040			_aNISER LIBRARY _beng _cNISER LIBRARY
041			_aEnglish
082			_a517 _bKAC-P
100			_aKaczor, W. J. _q(Wiesława J.),
245			_aProblems in mathematical analysis, volume III : _bintegration
260			_aProvidence : _bAmerican Mathematical Society, _c2003
300			_aix, 356 p.; _c22 cm
490			_aStudent mathematical library, _vvolume 21 _x1520-9121 ;
504			_aIncludes bibliographical references and indexes.
520			_aThe best way to penetrate the subtleties of the theory of integration is by solving problems. This book, like its two predecessors, is a wonderful source of interesting and challenging problems. As a resource, it is unequaled. It offers a much richer selection than is found in any current textbook. Moreover, the book includes a complete set of solutions. This is the third volume of Problems in Mathematical Analysis. The topic here is integration for real functions of one real variable. The first chapter is devoted to the Riemann and the Riemann-Stieltjes integrals. Chapter 2 deals with Lebesgue measure and integration. The authors include some famous, and some not so famous, inequalities related to Riemann integration. Many of the problems for Lebesgue integration concern convergence theorems and the interchange of limits and integrals. The book closes with a section on Fourier series, with a concentration on Fourier coefficients of functions from particular classes and on basic theorems for convergence of Fourier series. The book is mainly geared toward students studying the basic principles of analysis. However, given its selection of problems, organization, and level, it would be an ideal choice for tutorial or problem-solving seminars, particularly those geared toward the Putnam exam. It is also suitable for self-study. The presentation of the material is designed to help student comprehension, to encourage them to ask their own questions, and to start research. The collection of problems will also help teachers who wish to incorporate problems into their lectures. The problems are grouped into sections according to the methods of solution. Solutions for the problems are provided.
521			_aUndergraduates, graduate students, and instructors interested in analysis.
650			_aMathematical analysis
700			_aNowak, M. T. _q(Maria T.),
856			_3Table of Contents _uhttps://books.google.co.in/books?id=xZ7xBwAAQBAJ&pg=PR5&source=gbs_selected_pages&cad=1#v=onepage&q&f=false
856			_3Reviews _uhttps://www.goodreads.com/book/show/682045.Problems_in_Mathematical_Analysis_III?from_search=true&from_srp=true&qid=Ap9eWqAb4q&rank=1#CommunityReviews
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