By Kenneth Hoffman
Starting with an outline of the genuine quantity method, the textual content provides effects for subsets and services with regards to Euclidean area of n dimensions. It bargains a rigorous evaluation of the basics of calculus, emphasizing energy sequence expansions and introducing the speculation of complex-analytic features. next chapters conceal sequences of services, normed linear areas, and the Lebesgue period. They speak about many of the simple 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. routines seem during the ebook, and vast supplementary fabric contains a bibliography, record of symbols, index, and appendix with heritage in straight forward set theory
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Analysis in Euclidean Space (Dover Books on Mathematics) by Kenneth Hoffman