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| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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240318b xxu||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9783031197376 |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
515 |
| Item number |
SEC |
| 100 ## - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Secchi, Simone |
| 245 ## - TITLE STATEMENT |
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| Title |
A circle-Line Study of Mathematical Analysis |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Name of publisher, distributor, etc |
Springer, |
| Date of publication, distribution, etc |
2022 |
| Place of publication, distribution, etc |
Cham : |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
xix, 469 p. ; |
| Other physical details |
ill., |
| Dimensions |
24 cm. |
| 365 ## - TRADE PRICE |
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| Price amount |
54.99 |
| Price type code |
€ |
| Unit of pricing |
93.50 |
| 490 ## - SERIES STATEMENT |
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| Series statement |
La Matematica per il 3+2 |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc |
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. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Mathematical analysis |
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| Topical term or geographic name as entry element |
Set theory |
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Accumulation point |
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| Topical term or geographic name as entry element |
Banach spaces |
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| Topical term or geographic name as entry element |
Cauchy sequence |
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| Topical term or geographic name as entry element |
Closed set |
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| Topical term or geographic name as entry element |
Compact space |
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| Topical term or geographic name as entry element |
Continuous function |
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| Topical term or geographic name as entry element |
Elementary functions |
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| Topical term or geographic name as entry element |
Hausdorff space |
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| Topical term or geographic name as entry element |
Levi's Theorem |
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| Topical term or geographic name as entry element |
Measurable functions |
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| Topical term or geographic name as entry element |
Open cover |
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| Topical term or geographic name as entry element |
Product topology |
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| Topical term or geographic name as entry element |
Riemann integra |
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| Topical term or geographic name as entry element |
Topological space |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Source of classification or shelving scheme |
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| Item type |
Books |