Continuous Functions of Vector Variables

Alberto Guzman

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Edité par Birkhäuser, 68, 2002

0415139937 / 9780415139939

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A propos de cet article

Text in English. 207 pp. This text is an axiomatic treatment of the properties of continuous multivariable functions and related results from topology. In the context of normed vector spaces, the author covers boundedness, extreme values, and uniform continuity of functions, along with the connections between continuity and topological concepts such as connectedness and compactness. The order of topics deliberately mimics the order of development in elementary calculus. This sequencing allows for an elementary approach, with analogies to and generalizations from such familiar ideas as the Pythagorean theorem. The reader is frequently reminded that the pictures suggested by geometry are powerful guides and tools. The definition-theorem-proof format resides within an informal exposition, containing numerous historical comments and questions within and between the proofs. The objective is is to present precise proofs, but in a structure and tone that teach the student to plan and write proofs, both general and specifically for the real analysis course that will follow this one. Applications are included where they provide interesting illustrations of the principles and theorems presented. Problems, solutions, bibliography and index complete this book. Continuous Functions of Vector Variables is suitable for a course in multivariable calculus aimed at advanced undergraduates preparing for graduate programs in pure mathematics. Required background includes a course in the theory of single variable calculus and the elements of linear algebra.…

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Titre
Continuous Functions of Vector Variables
Auteur
Alberto Guzman
Éditeur
Birkhäuser, 68
Année de publication
2002
État de l'article
Near Fine
Reliure
Soft Cover
ISBN à 10 chiffres
0415139937
ISBN à 13 chiffres
9780415139939
Édition
1st Edition.
Catalogues du vendeur
Mathematics

Moraine Books

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Vendeur avec une évaluation de 5 étoiles

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