Analysis in Euclidean Space (Dover Books on Mathematics) - download pdf or read online

By Kenneth Hoffman

Developed for an introductory direction in mathematical research at MIT, this article specializes in ideas, ideas, and techniques. Its introductions to genuine and intricate research are heavily formulated, they usually represent a typical creation to complicated functionality theory.
Starting with an outline of the true quantity process, the textual content provides effects for subsets and capabilities regarding Euclidean house of n dimensions. It bargains a rigorous evaluation of the basics of calculus, emphasizing strength sequence expansions and introducing the speculation of complex-analytic capabilities. next chapters hide sequences of features, normed linear areas, and the Lebesgue period. They talk about lots of the easy houses of critical 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 swap of variable theorem. workouts seem during the booklet, and large supplementary fabric features a bibliography, checklist of symbols, index, and appendix with history in simple set theory

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

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