A Circle-Line Study of Mathematical Analysis (Paperback)
Language: English
Published by Springer International Publishing AG, Cham, 2023
- First Edition
- Softcover
- New
Seller: AussieBookSeller, Truganina, VIC, AustraliaAussieBookSeller
AbeBooks seller since June 22, 2007
Condition: New
£ 92.42
Quantity: 1 available
Add to basketItem description from seller
Paperback. 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. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.…
Seller Inventory # 9783031197376
- Title
- A Circle-Line Study of Mathematical Analysis (Paperback)
- Author
- Simone Secchi
- Publisher
- Springer International Publishing AG, Cham
- Publication year
- 2023
- Condition
- new
- Binding
- Paperback
- Language
- English
- ISBN 10
- 3031197372
- ISBN 13
- 9783031197376
- Edition
- 1st Edition
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.
AussieBookSeller
Truganina, VIC, Australia
AbeBooks seller since June 22, 2007
Shipping rates from Australia to U.S.A.
| Item | 25 to 45 business days | 8 to 14 business days |
|---|---|---|
| First item | £ 27.94 | £ 33.23 |
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The Nile Group Pty Ltd
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Truganina, VIC Australia 3029
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