000			01656nam a22002177a 4500
003			ISI Library, Kolkata
005			20251201164355.0
008			251201b |||||||| |||| 00| 0 eng d
020			_a9789380250168
040			_aISI Library
082	0	4	_223rd _a515.8 _bR161
100	1		_aRajwade, A.R. _eauthor
245	1	0	_aSurprises and counterexamples in real function theory / _cA.R. Rajwade and A.K. Bhandari
260			_aNew Delhi : _bHindustan Book Agency, _c2007
300			_aviii, 392p. ; _c24 cm.
504			_aIncludes bibliography
520			_aThis book presents a variety of intriguing, surprising and appealing topics and nonroutine theorems in real function theory. It is a reference book to which one can turn for finding that arise while studying or teaching analysis.Chapter 1 is an introduction to algebraic, irrational and transcendental numbers and contains the Cantor ternary set. Chapter 2 contains functions with extraordinary properties; functions that are continuous at each point but differentiable at no point. Chapters 4 and intermediate value property, periodic functions, Rolle's theorem, Taylor's theorem, points of tangents. Chapter 6 discusses sequences and series. It includes the restricted harmonic series, of alternating harmonic series and some number theoretic aspects. In Chapter 7, the infinite peculiar range of convergence is studied. Appendix I deal with some specialized topics. Exercises at the end of chapters and their solutions are provided in Appendix II.This book will be useful for students and teachers alike.
650	0		_aMathematics
700	1		_aBhandari, A.K. _eauthor
942			_2ddc _cBK
999			_c437427 _d437427