Advanced Calculus

Patrick M. Fitzpatrick - Collection Advanced Mathematics

620 pages, parution le 04/11/2005 (2^eme édition)

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Résumé

Advanced Calculus rigorously presents the fundamental concepts of mathematical analysis in the clearest, simplest way, within the context of illuminating examples and stimulating exercises. Emphasizing the unity of the subject, the text shows that mathematical analysis is not a collection of isolated facts and techniques, but rather a coherent body of knowledge. Beyond the intrinsic importance of the actual subject, the author demonstrates that the study of mathematical analysis instills habits of thought that are essential for a proper understanding of many areas of pure and applied mathematics. Students gain a precise understanding of the subject, together with an appreciation of its coherence and significance. The full book is suitable for a year-long course; the first nine chapters are suitable for a one-term course on functions of a single variable. This book is included in the Brooks/Cole Series in Advanced Mathematics (Series Editor: Paul Sally, Jr.).

L'auteur - Patrick M. Fitzpatrick

Patrick M. Fitzpatrick - University of Maryland, College Park

Sommaire

Tools for analysis
Convergent sequences
Continuous functions
Differentiation
Elementary functions as solutions of differential equations
Integration: two fundamental theorems
Integration: further topics
Approximation by taylor polynomials
Sequences and series of functions
The euclidean space rn
Continuity, compactness, and connectedness
Metric spaces
Differentiating functions of several variables
Local approximation of real-valued functions
Approximating nonlinear mappings by linear mappings
Images and inverses: the inverse function theorem
The implicit function theorem and its applications
Integrating functions of several variables
Iterated integration and changes of variables
Line and surface integrals

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Thomson
Auteur(s)	Patrick M. Fitzpatrick
Collection	Advanced Mathematics
Parution	04/11/2005
Édition	2^eme édition
Nb. de pages	620
Format	16 x 23,5
Couverture	Broché
Poids	775g
Intérieur	Noir et Blanc
EAN13	9780495018643
ISBN13	978-0-495-01864-3