Bộ sách luyện thi ETS 2023 LC&RC
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299,000₫
Sách A Circle-Line Study of Mathematical Analysis (sách keo gáy, bìa mềm)
Categories:Mathematics - Analysis
Volume:141
Year:2022
Edition:1
Language:english
Pages:480
The book addresses the rigorous foundations of
mathematical analysis. The first part presents a complete discussion of
the fundamental topics: a review of naive set theory, the structure of
real numbers, the topology of R, sequences, series, limits,
differentiation and integration according to Riemann.
The second
part provides a more mature return to these topics: a possible
axiomatization of set theory, an introduction to general topology with a
particular attention to convergence in abstract spaces, a construction
of the abstract Lebesgue integral in the spirit of Daniell, and the
discussion of differentiation in normed linear spaces.
The book
can be used for graduate courses in real and abstract analysis and can
also be useful as a self-study for students who begin a Ph.D. program in
Analysis. The first part of the book may also be suggested as a second
reading for undergraduate students with a strong interest in
mathematical analysis.
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