A Course in Calculus and Real Analysis

Sudhir R. Ghorpade, Balmohan V. Limaye (Autoren)

Buch | Hardcover

432 Seiten

2006 | 2006 ed.
Springer-Verlag New York Inc.
978-0-387-30530-1 (ISBN)

Infos

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.

Inhalt

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.

Produkt-Details

• Reihe/Serie: Undergraduate Texts in Mathematics
• Reihe/Serie: Undergraduate Texts in Mathematics
• Zusatzinfo: X, 432 p.
• Verlagsort: New York, NY
• Sprache: englisch
• Maße: 156 x 235 mm
• Gewicht: 1760 g
• Themenwelt: Mathematik / Informatik ► Mathematik ► Analysis
• ISBN-10: 0-387-30530-0 / 0387305300
• ISBN-13: 978-0-387-30530-1 / 9780387305301
• Zustand: Neuware