A Circle-Line Study of Mathematical Analysis
Format:Paperback
Publisher:Springer International Publishing AG
Published:16th Mar '23
Should be back in stock very soon
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.
ISBN: 9783031197376
Dimensions: unknown
Weight: unknown
469 pages
1st ed. 2022