Elementary Classical Analysis
Seiten
1993
|
2nd ed. 1993
W.H.Freeman & Co Ltd (Verlag)
978-0-7167-2105-5 (ISBN)
W.H.Freeman & Co Ltd (Verlag)
978-0-7167-2105-5 (ISBN)
Zu diesem Artikel existiert eine Nachauflage
Designed for courses in advanced calculus and introductory real analysis, the second edition of Elementary Classical Analysis strikes a careful and thoughtful balance between pure and applied mathematics, with the emphasis on techniques important to classical analysis, without vector calculus or complex analysis. As such, it’s a perfect teaching and learning resource for mathematics undergraduate courses in classical analysis.
The book includes detailed coverage of the foundations of the real number system and focuses primarily on analysis in Euclidean space with a view towards application. As well as being suitable for students taking pure mathematics, it can also be used by students taking engineering and physical science courses. There’s now even more material on variable calculus, expanding the textbook’s already considerable coverage of the subject.
The book includes detailed coverage of the foundations of the real number system and focuses primarily on analysis in Euclidean space with a view towards application. As well as being suitable for students taking pure mathematics, it can also be used by students taking engineering and physical science courses. There’s now even more material on variable calculus, expanding the textbook’s already considerable coverage of the subject.
Jerrold Eldon Marsden was the Carl F. Braun Professor of Engineering and Control & Dynamical Systems at the California Institute of Technology. Marsden is listed as an ISI highly cited researcher.
Introduction: Sets and Functions.- The Real Line and Euclidean Space.- Topology of Euclidean Space.- Compact and Connected Sets.- Continuous Mappings.- Uniform Convergence.- Differentiable Mappings.- The Inverse and Implicit Function Theorems and Related Topics.- Fubini's Theorem and the Change of Variables Formula.- Fourier Analysis.- Answers to Selected Exercises.- Index.
| Zusatzinfo | 640 p. |
|---|---|
| Sprache | englisch |
| Maße | 835 x 8259 mm |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| ISBN-10 | 0-7167-2105-8 / 0716721058 |
| ISBN-13 | 978-0-7167-2105-5 / 9780716721055 |
| Zustand | Neuware |
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