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Continuous Functions of Vector Variables

Continuous Functions of Vector Variables

Paperback

General MathematicsProbability & Statistics

ISBN10: 0817642730
ISBN13: 9780817642730
Publisher: Springer Nature
Published: Jul 31 2002
Pages: 210
Weight: 0.70
Height: 0.48 Width: 6.10 Depth: 9.10
Language: English
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. 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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General Mathematics