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Surprises and Counterexamples in Real Function Theory

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 analysis.Chapter 1 is an introduction to algebraic, irrational and transcendenta...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Rajwade, A. R. (Autor), Bhandari, A.K (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Gurgaon : Hindustan Book Agency : Imprint: Hindustan Book Agency, 2007.
Edición:1st ed. 2007.
Colección:Texts and Readings in Mathematics
Temas:
Acceso en línea:Texto Completo
Descripción
Sumario: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 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.
Descripción Física:298 p. online resource.
ISBN:9789386279354