A Circle-Line Study of Mathematical Analysis
Language: English
Published by Springer International Publishing, 2023
- Softcover
- Used
Condition: Used - Fine
£ 23.36
Quantity: 1 available
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Zustand: Sehr gut | Seiten: 492 | Sprache: Englisch | Produktart: Bücher | 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.…
Seller Inventory # 41542267/2
- Title
- A Circle-Line Study of Mathematical Analysis
- Author
- Secchi, Simone
- Publisher
- Springer International Publishing
- Publication year
- 2023
- Condition
- Sehr gut
- Binding
- Soft cover
- Language
- English
- ISBN 10
- 3031197372
- ISBN 13
- 9783031197376
- Seller catalogs
- Bücher
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.
"Synopsis" may belong to another edition of this title.
About the Author
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.
"About the title" may belong to another edition of this title.
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