000			01715nam a2200277Ia 4500
001			CU10560
008			250306s9999 xx 000 0 und d
020			_a9789380250168
020			_c520
082			_a515.8 RAJ
100			_aA.K. Bhandari
100			_aA.R. Rajwade
245		0	_aSurprises and Counterexamples in Real Function Theory
260			_aNew Delhi
260			_bHindustan Book Agency
260			_c2011
300			_aviii, 289p.
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.
546			_aEnglish
650			_aCounterexamples
650			_aMathematics
650			_aReal Function Theory
942			_cText Book
999			_c25065 _d25065