000 01928nam a2200217Ia 4500
005 20250411135204.0
008 240825s9999 xx 000 0 und d
020 _a9780821848555
_qpbk
041 _aEng
082 _a515.24
_bKAC
100 _aKaczor, W. J. ; Nowak, M.T.
245 0 _aProblems in Mathematical Analysis II : continuity and Differentiation
_c/ W.J. Kaczor and M.T. Nowak
250 _a1st ed.
260 _bAMS
_c2018
_a[S.I.]
300 _axiv, 398 p.
_b: ill.
_c; 24 cm.
490 _aStudent Mathematical Library
_v12
504 _aBib and Ref
520 _aWe learn by doing. We learn mathematics by doing problems. And we learn more mathematics by doing more problems. 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. Problems in Mathematical Analysis I and III are available as Volumes 4 and 21 in the AMS series Student mathematical Library.
650 _aMathematics
942 _cREF
999 _c546152
_d546152