Analysis1 Terence Tao 陶哲轩实分析上册英文原版 Third Edition 第三版数学分析

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作者Terence Tao (陶哲轩)

出版社HINDUSTAN BOOK AGENCY

出版时间1979-02

装帧精装

上书时间2024-06-28

已实名进店收藏店铺

商品描述: 页数：24.8 x 3 x 16.9 cm
尺寸：347
简介：This is part one of a two-volume introduction to real analysis and is intended for honours undergraduates who have already been exposed to calculus. The emphasis is on rigour and on foundations. The material starts at the very beginning--the construction of the number systems and set theory--then goes on to the basics of analysis (limits, series, continuity, differentiation, Riemann integration), through to power series, several variable calculus and Fourier analysis, and finally to the Lebesgue integral. These are almost entirely set in the concrete setting of the real line and Euclidean spaces, although there is some material on abstract metric and topological spaces. There are also appendices on mathematical logic and the decimal system. The entire text (omitting some less central topics) can be taught in two quarters of twenty-five to thirty lectures each. The course material is deeply intertwined with the exercises, as it is intended that the student actively learn the material (and practice thinking and writing rigorously) by proving several of the key results in the theory.