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020 _a9780821848555
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 II :
_bcontinuity and differentiation
260 _aProvidence :
_bAmerican Mathematical Society,
_c2001
300 _axiv,398p
_bPbk.
_c22 cm.
490 _aStudent mathematical library,
_vvolume 12
_x1520-9121 ;
504 _aIncludes bibliographical references and indexes.
520 _aWe learn by doing. We learn mathematics by doing problems. And we learn more mathematics by doing more problems. This is the sequel to Problems in Mathematical Analysis I (Volume 4 in the Student Mathematical Library series). If you want to hone your understanding of continuous and differentiable functions, this book contains hundreds of problems to help you do so. The emphasis here is on real functions of a single variable. Topics include: continuous functions, the intermediate value property, uniform continuity, mean value theorems, Taylors formula, convex functions, sequences and series of functions. 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.
650 _aMathematical analysis.
700 _aNowak, M. T.
_q(Maria T.),
856 _3Table of Contents
_uhttps://www.ams.org/bookstore/pspdf/stml-12-prev.pdf?_gl=1*5dr8e2*_ga*OTY4OTA1OTY3LjE3MTc5OTU1MTY.*_ga_26G4XFTR63*MTcxOTQ2NDk2MC41LjEuMTcxOTQ4MzM4OC4wLjAuMA..
856 _3Reviews
_uhttps://www.goodreads.com/book/show/3526058-problems-in-mathematical-analysis-ii?from_search=true&from_srp=true&qid=26PGGfD0aw&rank=1#CommunityReviews
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_2udc
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_d35080