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Surprises and Counterexamples in Real Function Theory (Text and Readings in Mathematics/ 42) - Tapa blanda

Libro 6 de 33: Texts and Readings in Mathematics

Rajwade

 
9789380250168: Surprises and Counterexamples in Real Function Theory (Text and Readings in Mathematics/ 42)
Tapa blanda
ISBN 10: 9380250169 ISBN 13: 9789380250168
Editorial: Hindustan Book Agency, 2011

Sinopsis

This 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 ysis.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.

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Editorial
Hindustan Book Agency
Año de publicación
2011
Idioma
Inglés
ISBN 10 
9380250169
ISBN 13 
9789380250168
Encuadernación
Tapa blanda
Contacto del fabricante
no disponible
Persona responsable
no disponible