Surprises and Counterexamples in Real Function Theory By A. R. Rajwade, A. K. Bhandari
English | PDF | 2011 | 301 Pages | ISBN : 8185931712 | 21.8 MB
Our aim in this book is to consider a variety of intriguing, surprising and appealing topics, and nonroutine proofs of the usual results of real function theory. The reader is expected to have done a first course in real analysis (or advanced calculus), since the book assumes a knowledge of continuity and differentiability of functions, Rolle's theorem, the mean value theorem, Taylor expansion and Riemann integration. However, no sophisticated knowledge of analysis is required and a student at the masters or advanced undergraduate level should have no difficulty in going through the book.