Bộ sách luyện thi ETS 2023 LC&RC
199,000₫
299,000₫
Sách Analysis I-II (sách keo gáy, bìa mềm)
Thể loại:Mathematics - Analysis
Năm:2016
In lần thứ:3
Ngôn ngữ:english
This is part one of a two-volume book on real analysis and is intended
for senior undergraduate students of mathematics who have already been
exposed to calculus. The emphasis is on rigour and foundations of
analysis. Beginning with the construction of the number systems and set
theory, the book discusses the basics of analysis (limits, series,
continuity, differentiation, Riemann integration), through to power
series, several variable calculus and Fourier analysis, and then finally
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. The book also has
appendices on mathematical logic and the decimal system. The entire text
(omitting some less central topics) can be taught in two quarters of
25-30 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.
