Surprises and Counterexamples in Real Function Theory

✍ Scribed by A. R. Rajwade, A. K. Bhandari (auth.)

• Publisher: Hindustan Book Agency
• Year: 2007
• Tongue: English
• Leaves: 301
• Series: Texts and Readings in Mathematics
• Category: Library

✦ Table of Contents

Front Matter....Pages i-viii
Introduction to the real line ℝ and some of its subsets....Pages 1-24
Functions: pathological, peculiar and extraordinary....Pages 25-55
The famous everywhere continuous, nowhere differentiable functions: van der Waerden’s and others....Pages 56-77
Functions: continuous, periodic, locally recurrent and others....Pages 78-110
The Derivative and Higher Derivatives....Pages 111-154
Sequences, Harmonic Series, Alternating Series and Related Topics....Pages 155-194
The infinite exponential ({x^{{x^{{x^ {\mathinner{\mkern2mu\raise1pt\hbox{.}\mkern2mu \raise4pt\hbox{.}\mkern2mu\raise7pt\hbox{.}\mkern1mu}} }}}}}) and Related Topics....Pages 195-225
Back Matter....Pages 226-292

✦ Subjects

Mathematics, general