A Course in Calculus and Real Analysis
Seiten
2010
|
Softcover reprint of hardcover 1st ed. 2006
Springer-Verlag New York Inc.
978-1-4419-2145-1 (ISBN)
Springer-Verlag New York Inc.
978-1-4419-2145-1 (ISBN)
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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. Contains examples and a large selection of exercises, as well as Notes and Comments.
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.
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.
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.
| Erscheint lt. Verlag | 29.11.2010 |
|---|---|
| Reihe/Serie | Undergraduate Texts in Mathematics | Undergraduate Texts in Mathematics |
| Zusatzinfo | X, 432 p. |
| Verlagsort | New York, NY |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Gewicht | 676 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| ISBN-10 | 1-4419-2145-1 / 1441921451 |
| ISBN-13 | 978-1-4419-2145-1 / 9781441921451 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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