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A Circle-Line Study of Mathematical Analysis
Engelsk Paperback
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A Circle-Line Study of Mathematical Analysis
Engelsk Paperback

526 kr
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Om denne bog
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.
Product detaljer
Sprog:
Engelsk
Sider:
469
ISBN-13:
9783031197376
Indbinding:
Paperback
Udgave:
ISBN-10:
3031197372
Udg. Dato:
16 mar 2023
Længde:
27mm
Bredde:
235mm
Højde:
153mm
Forlag:
Springer International Publishing AG
Oplagsdato:
16 mar 2023
Forfatter(e):
Kategori sammenhænge