A Circle Line Study of Mathematical Analysis is popular PDF and ePub book, written by Simone Secchi in 2023-03-15, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, A Circle Line Study of Mathematical Analysis can be Read Online from any device for your convenience.
A Circle Line Study of Mathematical Analysis Book PDF Summary
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.
Detail Book of A Circle Line Study of Mathematical Analysis PDF
- Author : Simone Secchi
- Release : 15 March 2023
- Publisher : Springer Nature
- ISBN : 9783031197383
- Genre : Mathematics
- Total Page : 480 pages
- Language : English
- PDF File Size : 10,6 Mb
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