Course in Modern Analysis and its Applications

Graeme Cohen

334 pages, parution le 19/06/2003

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Résumé

Designed for one-semester courses at the senior undergraduate level, this book will appeal to mathematics undergraduates, to mathematics teachers, and to others who need to learn some mathematical analysis for use in other areas such as engineering, physics, biology or finance. Topics such as completeness and compactness are approached initially through convergence of sequences in metric space, and the emphasis remains on this approach. However, the alternative topological approach is described in a separate chapter. This gives the book more flexibility, making it especially useful as an introduction to more advanced areas such as functional analysis. Nominal divisions of pure and applied mathematics have been merged, leaving enough for students of either inclination to have a feeling for what further developments might look like.
Applications have been included from such fields as differential and integral equations, systems of linear algebraic equations, approximation theory, numerical analysis and quantum mechanics.

Preface
Prelude to modern analysis
Metric spaces
The fixed point theorem and its applications
Compactness
Topological spaces
Nomed vector spaces
Mappings on normed spaces
Inner product spaces
Hilbert spaces

References
Index

Caractéristiques techniques

	PAPIER
Éditeur(s)	Cambridge University Press
Auteur(s)	Graeme Cohen
Parution	19/06/2003
Nb. de pages	334
Format	15 x 22,5
Couverture	Broché
Poids	470g
Intérieur	Noir et Blanc
EAN13	9780521526272
ISBN13	978-0-521-52627-2