A Course of Higher Mathematics: International Series of Monographs in Pure and Applied Mathematics, Volume 62
International Series of Monographs in Pure and Applied Mathematics, Volume 62: A Course of Higher Mathematics, V: Integration and Functional Analysis focuses on the theory of functions. The book first discusses the Stieltjes integral. Concerns include sets and their powers, Darboux sums, improper St...
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| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
London
Elsevier Science
2014
|
| Series: | International Series in Pure and Applied Mathematics
v.62 |
| Subjects: | |
| Online Access: | FAW01 |
| Summary: | International Series of Monographs in Pure and Applied Mathematics, Volume 62: A Course of Higher Mathematics, V: Integration and Functional Analysis focuses on the theory of functions. The book first discusses the Stieltjes integral. Concerns include sets and their powers, Darboux sums, improper Stieltjes integral, jump functions, Helly's theorem, and selection principles. The text then takes a look at set functions and the Lebesgue integral. Operations on sets, measurable sets, properties of closed and open sets, criteria for measurability, and exterior measure and its properties are discussed. The text also examines set functions, absolute continuity, and generalization of the integral. Absolutely continuous set functions; absolutely continuous functions of several variables; supplementary propositions; and the properties of the Hellinger integral are presented. The text also focuses on metric and normed spaces. Separability, compactness, linear functionals, conjugate spaces, and operators in normed spaces are underscored. The book also discusses Hilbert space. Linear functionals, projections, axioms of the space, sequences of operators, and weak convergence are described. The text is a valuable source of information for students and mathematicians interested in studying the theory of functions |
| Item Description: | Description based on publisher supplied metadata and other sources |
| Physical Description: | 1 online resource (653 pages) |
| ISBN: | 9781483139371 9780080137193 |
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| 520 | |a International Series of Monographs in Pure and Applied Mathematics, Volume 62: A Course of Higher Mathematics, V: Integration and Functional Analysis focuses on the theory of functions. The book first discusses the Stieltjes integral. Concerns include sets and their powers, Darboux sums, improper Stieltjes integral, jump functions, Helly's theorem, and selection principles. The text then takes a look at set functions and the Lebesgue integral. Operations on sets, measurable sets, properties of closed and open sets, criteria for measurability, and exterior measure and its properties are discussed. The text also examines set functions, absolute continuity, and generalization of the integral. Absolutely continuous set functions; absolutely continuous functions of several variables; supplementary propositions; and the properties of the Hellinger integral are presented. The text also focuses on metric and normed spaces. Separability, compactness, linear functionals, conjugate spaces, and operators in normed spaces are underscored. The book also discusses Hilbert space. Linear functionals, projections, axioms of the space, sequences of operators, and weak convergence are described. The text is a valuable source of information for students and mathematicians interested in studying the theory of functions | ||
| 650 | 4 | |a Mathematical analysis | |
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| 776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe |a Smirnov, V |t I.. A Course of Higher Mathematics : International Series of Monographs in Pure and Applied Mathematics, Volume 62 |
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| author | Smirnov, Vladimir I. 1887-1975 |
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| author_variant | v i s vi vis |
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| dewey-full | 515 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515 |
| dewey-search | 515 |
| dewey-sort | 3515 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV043616483 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:30:55Z |
| institution | BVB |
| isbn | 9781483139371 9780080137193 |
| language | English |
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| physical | 1 online resource (653 pages) |
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| publishDate | 2014 |
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| publisher | Elsevier Science |
| record_format | marc |
| series | International Series in Pure and Applied Mathematics |
| series2 | International Series in Pure and Applied Mathematics |
| spelling | Smirnov, Vladimir I. 1887-1975 Verfasser (DE-588)119201607 aut A Course of Higher Mathematics International Series of Monographs in Pure and Applied Mathematics, Volume 62 London Elsevier Science 2014 © 1964 1 online resource (653 pages) txt rdacontent c rdamedia cr rdacarrier International Series in Pure and Applied Mathematics v.62 Description based on publisher supplied metadata and other sources International Series of Monographs in Pure and Applied Mathematics, Volume 62: A Course of Higher Mathematics, V: Integration and Functional Analysis focuses on the theory of functions. The book first discusses the Stieltjes integral. Concerns include sets and their powers, Darboux sums, improper Stieltjes integral, jump functions, Helly's theorem, and selection principles. The text then takes a look at set functions and the Lebesgue integral. Operations on sets, measurable sets, properties of closed and open sets, criteria for measurability, and exterior measure and its properties are discussed. The text also examines set functions, absolute continuity, and generalization of the integral. Absolutely continuous set functions; absolutely continuous functions of several variables; supplementary propositions; and the properties of the Hellinger integral are presented. The text also focuses on metric and normed spaces. Separability, compactness, linear functionals, conjugate spaces, and operators in normed spaces are underscored. The book also discusses Hilbert space. Linear functionals, projections, axioms of the space, sequences of operators, and weak convergence are described. The text is a valuable source of information for students and mathematicians interested in studying the theory of functions Mathematical analysis Sneddon, Ian Naismith 1919-2000 Sonstige (DE-588)121675343 oth Stark, M. Sonstige oth Ulam, Stanisław M. 1909-1984 Sonstige (DE-588)119103281 oth Erscheint auch als Druck-Ausgabe Smirnov, V I.. A Course of Higher Mathematics : International Series of Monographs in Pure and Applied Mathematics, Volume 62 International Series in Pure and Applied Mathematics v.62 (DE-604)BV024976318 62 |
| spellingShingle | Smirnov, Vladimir I. 1887-1975 A Course of Higher Mathematics International Series of Monographs in Pure and Applied Mathematics, Volume 62 International Series in Pure and Applied Mathematics Mathematical analysis |
| title | A Course of Higher Mathematics International Series of Monographs in Pure and Applied Mathematics, Volume 62 |
| title_auth | A Course of Higher Mathematics International Series of Monographs in Pure and Applied Mathematics, Volume 62 |
| title_exact_search | A Course of Higher Mathematics International Series of Monographs in Pure and Applied Mathematics, Volume 62 |
| title_full | A Course of Higher Mathematics International Series of Monographs in Pure and Applied Mathematics, Volume 62 |
| title_fullStr | A Course of Higher Mathematics International Series of Monographs in Pure and Applied Mathematics, Volume 62 |
| title_full_unstemmed | A Course of Higher Mathematics International Series of Monographs in Pure and Applied Mathematics, Volume 62 |
| title_short | A Course of Higher Mathematics |
| title_sort | a course of higher mathematics international series of monographs in pure and applied mathematics volume 62 |
| title_sub | International Series of Monographs in Pure and Applied Mathematics, Volume 62 |
| topic | Mathematical analysis |
| topic_facet | Mathematical analysis |
| volume_link | (DE-604)BV024976318 |
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