The Way of Analysis

Robert S. Strichartz

740 pages, parution le 29/01/2003

Ajouter à une liste

Indisponible

Résumé

The Way of Analysis gives a thorough account of real analysis in one or several variables, from the construction of the real number system to an introduction of the Lebesgue integral. The text provides proofs of all main results, as well as motivations, examples, applications, exercises, and formal chapter summaries. Additionally, there are three chapters on application of analysis, ordinary differential equations, Fourier series, and curves and surfaces, to show how the techniques of analysis are used in concrete settings.

Contents

1. Preliminaries
2. Construction of the Real Number System
3. Topology of the Real Line
4. Continuous Functions
5. Differential Calculus
6. Integral Calculus
7. Sequences and Series of Functions
8. Transcendental Functions
9. Euclidean Space and Metric Spaces
10. Differential Calculus in Euclidean Space
11. Ordinary Differential Equations
12. Fourier Series
13. Implicit Functions, Curves, and Surfaces
14. The Lebesgue Integral
15. Multiple Integral

L'auteur - Robert S. Strichartz

Robert S. Strichartz is Professor of Mathematics at Cornell University. He is the author of The Way of Analysis and A Guide to Distribution Theory and Fourier Transforms.

Caractéristiques techniques

	PAPIER
Éditeur(s)	Jones and Bartlett Publishers
Auteur(s)	Robert S. Strichartz
Parution	29/01/2003
Nb. de pages	740
Format	15,5 x 23,5
Couverture	Broché
Poids	860g
Intérieur	Noir et Blanc
EAN13	9780763714970
ISBN13	978-0-7637-1497-0