A Course in Calculus and Real Analysis

Softcover Nachdruck of hardcover 1. Auflage 2006
ISBN: 978-1-4419-2145-1
Verlag: Springer US

Buch, Englisch, 432 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 676 g

Reihe: Undergraduate Texts in Mathematics

This book provides a self-contained and rigorous introduction to calculus of functions of one variable, in a presentation which emphasizes the structural development of calculus. Throughout, the authors highlight the fact that calculus provides a firm foundation to concepts and results that are generally encountered in high school and accepted on faith; for example, the classical result that the ratio of circumference to diameter is the same for all circles. A number of topics are treated here in considerable detail that may be inadequately covered in calculus courses and glossed over in real analysis courses.

Zielgruppe

Graduate

Autoren/Hrsg.

Ghorpade, Sudhir R.

Limaye, Balmohan V.

Inhaltsverzeichnis

Numbers and Functions.- Sequences.- Continuity and Limits.- Differentiation.- Applications of Differentiation.- Integration.- Elementary Transcendental Functions.- Applications and Approximations of Riemann Integrals.- Infinite Series and Improper Integrals.