A Circle-Line Study of Mathematical Analysis by Simone Secchi

A Circle-Line Study of Mathematical Analysis by Simone Secchi

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.

Simone Secchi obtained a Ph.D. in Functional Analysis from SISSA, Trieste under the supervision of Prof. Antonio Ambrosetti. He is currently Associate Professor of Mathematical Analysis at Università degli Studi di Milano Bicocca. His research interests are partial differential equations, critical point theory, and topological and variational methods for PDEs.

SKU	Unavailable
ISBN 13	9783031197376
ISBN 10	3031197372
Title	A Circle-Line Study of Mathematical Analysis
Author	Simone Secchi
Series	La Matematica Per Il 3+2
Condition	Unavailable
Binding Type	Paperback
Publisher	Springer International Publishing AG
Year published	2023-03-16
Number of pages	469
Cover note	Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
Note	Unavailable