Download e-book for kindle: Analysis in Euclidean Space (Dover Books on Mathematics) by Kenneth Hoffman

By Kenneth Hoffman

ISBN-10: 0486458040

ISBN-13: 9780486458045

Developed for an introductory path in mathematical research at MIT, this article specializes in options, ideas, and techniques. Its introductions to genuine and intricate research are heavily formulated, they usually represent a typical advent to complicated functionality theory.
Starting with an summary of the true quantity procedure, the textual content provides effects for subsets and services regarding Euclidean area of n dimensions. It bargains a rigorous evaluate of the basics of calculus, emphasizing strength sequence expansions and introducing the speculation of complex-analytic services. next chapters disguise sequences of features, normed linear areas, and the Lebesgue period. They speak about many of the simple houses of crucial and degree, together with a short examine orthogonal expansions. A bankruptcy on differentiable mappings concludes the textual content, addressing implicit and inverse functionality theorems and the switch of variable theorem. workouts look during the booklet, and huge supplementary fabric incorporates a bibliography, checklist of symbols, index, and appendix with historical past in undemanding set theory

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Analysis in Euclidean Space (Dover Books on Mathematics) by Kenneth Hoffman

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