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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 ...

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    • Title: Continuous Functions of Vector Variables by Alberto Guzman
    • Publisher: Springer Nature
    • Print ISBN: 9780817642730, 0817642730
    • eText ISBN: 9781461200833
    • Edition: 2002 2002 edition
    • Format: PDF eBook
    $16.50
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