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P 26
Parker, Robert L. ,
Geophysical Inverse Theory / / Robert L. Parker. - 1515/9780691206837. - Princeton, NJ : : Princeton University Press,, ©1994. - 1 online resource : : 90 figs. ( час. мин.), 1515/9780691206837. - (Princeton Series in Geophysics ; ; 1). - In English. - URL: https://library.dvfu.ru/lib/document/SK_ELIB/4E20391F-F670-46D5-A6AB-A7E0BACAF58F. - ISBN 069120683X. - ISBN 9780691206837 (electronic bk.)
Description based on online resource; title from PDF title page (publisher's Web site, viewed 29. Feb 2020).
~РУБ DDC 550/.1/515
Рубрики: SCIENCE / Earth Sciences / General.
Inversion (Geophysics)
Geophysics--Measurement.
Functional analysis.
Mathematical optimization.
Аннотация: In many physical sciences, the most natural description of a system is with a function of position or time. In principle, infinitely many numbers are needed to specify that function, but in practice only finitely many measurements can be made. Inverse theory concerns the mathematical techniques that enable researchers to use the available information to build a model of the unknown system or to determine its essential properties. In Geophysical Inverse Theory, Robert Parker provides a systematic development of inverse theory at the graduate and professional level that emphasizes a rigorous yet practical solution of inverse problems, with examples from experimental observations in geomagnetism, seismology, gravity, electromagnetic sounding, and interpolation. Although illustrated with examples from geophysics, this book has broad implications for researchers in applied disciplines from materials science and engineering to astrophysics, oceanography, and meteorology. Parker's approach is to avoid artificial statistical constructs and to emphasize instead the reasonable assumptions researchers must make to reduce the ambiguity that inevitably arises in complex problems. The structure of the book follows a natural division in the subject into linear theory, in which the measured quantities are linear functionals of the unknown models, and nonlinear theory, which covers all other systems but is not nearly so well understood. The book covers model selection as well as techniques for drawing firm conclusions about the earth independent of any particular model.
P 26
Parker, Robert L. ,
Geophysical Inverse Theory / / Robert L. Parker. - 1515/9780691206837. - Princeton, NJ : : Princeton University Press,, ©1994. - 1 online resource : : 90 figs. ( час. мин.), 1515/9780691206837. - (Princeton Series in Geophysics ; ; 1). - In English. - URL: https://library.dvfu.ru/lib/document/SK_ELIB/4E20391F-F670-46D5-A6AB-A7E0BACAF58F. - ISBN 069120683X. - ISBN 9780691206837 (electronic bk.)
Description based on online resource; title from PDF title page (publisher's Web site, viewed 29. Feb 2020).
Рубрики: SCIENCE / Earth Sciences / General.
Inversion (Geophysics)
Geophysics--Measurement.
Functional analysis.
Mathematical optimization.
Аннотация: In many physical sciences, the most natural description of a system is with a function of position or time. In principle, infinitely many numbers are needed to specify that function, but in practice only finitely many measurements can be made. Inverse theory concerns the mathematical techniques that enable researchers to use the available information to build a model of the unknown system or to determine its essential properties. In Geophysical Inverse Theory, Robert Parker provides a systematic development of inverse theory at the graduate and professional level that emphasizes a rigorous yet practical solution of inverse problems, with examples from experimental observations in geomagnetism, seismology, gravity, electromagnetic sounding, and interpolation. Although illustrated with examples from geophysics, this book has broad implications for researchers in applied disciplines from materials science and engineering to astrophysics, oceanography, and meteorology. Parker's approach is to avoid artificial statistical constructs and to emphasize instead the reasonable assumptions researchers must make to reduce the ambiguity that inevitably arises in complex problems. The structure of the book follows a natural division in the subject into linear theory, in which the measured quantities are linear functionals of the unknown models, and nonlinear theory, which covers all other systems but is not nearly so well understood. The book covers model selection as well as techniques for drawing firm conclusions about the earth independent of any particular model.
2.
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G 37
Georgiev, Svetlin G. ,
Functional Analysis with Applications / / Svetlin G. Georgiev, Khaled Zennir. - 1515/9783110657722. - Berlin ; ; Boston : : De Gruyter,, ©2019. - 1 online resource (402 pages) ( час. мин.), 1515/9783110657722. - (De Gruyter Textbook Ser.). - In English. - Includes bibliographical references and index. - URL: https://library.dvfu.ru/lib/document/SK_ELIB/6680DE85-1A4C-4900-92F3-019B95FCF7E4. - ISBN 9783110657722. - ISBN 3110657724. - ISBN 9783110658040 (electronic bk.). - ISBN 3110658046 (electronic bk.)
Online resource; title from PDF title page (publisher's Web site, viewed 20. Jun 2019).
Параллельные издания: Print version: : Georgiev, Svetlin G. Functional Analysis with Applications. - Berlin/Boston : Walter de Gruyter GmbH, ©2019
Содержание:
Intro; Preface; Contents; 1. Vector, metric, normed and Banach spaces; 2. Lebesgue integration; 3. The Lp spaces; 4. Linear operators; 5. Linear functionals; 6. Relatively compact sets in metric and normed spaces. Compact operators; 7. Self-adjoint operators in Hilbert spaces; 8. The method of the small parameter; 9. The parameter continuation method; 10. Fixed-point theorems and applications; A. Sets and mappings; B. Functions of bounded variation; Bibliography; Index
~РУБ DDC 515.7
Рубрики: MATHEMATICS--Functional Analysis.
Functional analysis.
Доп.точки доступа:
Zennir, Khaled, \author.\
G 37
Georgiev, Svetlin G. ,
Functional Analysis with Applications / / Svetlin G. Georgiev, Khaled Zennir. - 1515/9783110657722. - Berlin ; ; Boston : : De Gruyter,, ©2019. - 1 online resource (402 pages) ( час. мин.), 1515/9783110657722. - (De Gruyter Textbook Ser.). - In English. - Includes bibliographical references and index. - URL: https://library.dvfu.ru/lib/document/SK_ELIB/6680DE85-1A4C-4900-92F3-019B95FCF7E4. - ISBN 9783110657722. - ISBN 3110657724. - ISBN 9783110658040 (electronic bk.). - ISBN 3110658046 (electronic bk.)
Online resource; title from PDF title page (publisher's Web site, viewed 20. Jun 2019).
Параллельные издания: Print version: : Georgiev, Svetlin G. Functional Analysis with Applications. - Berlin/Boston : Walter de Gruyter GmbH, ©2019
Содержание:
Intro; Preface; Contents; 1. Vector, metric, normed and Banach spaces; 2. Lebesgue integration; 3. The Lp spaces; 4. Linear operators; 5. Linear functionals; 6. Relatively compact sets in metric and normed spaces. Compact operators; 7. Self-adjoint operators in Hilbert spaces; 8. The method of the small parameter; 9. The parameter continuation method; 10. Fixed-point theorems and applications; A. Sets and mappings; B. Functions of bounded variation; Bibliography; Index
Рубрики: MATHEMATICS--Functional Analysis.
Functional analysis.
Доп.точки доступа:
Zennir, Khaled, \author.\
3.
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T 59
Tintarev, Kyril,.
Concentration Compactness : : Functional-Analytic Theory of Concentration Phenomena / / Cyril Tintarev. - 1515/9783110532432. - Berlin ; ; Boston : : De Gruyter,, ©2020. - 1 online resource (xii, 216 pages) ( час. мин.), 1515/9783110532432. - (De Gruyter Series in Nonlinear Analysis and Applications ; ; 33). - In English. - Includes bibliographical references and index. - URL: https://library.dvfu.ru/lib/document/SK_ELIB/A5F522CA-F978-4AC8-9AB2-0B790040F4F2. - ISBN 3110532433. - ISBN 9783110532432 (electronic bk.)
Online resource; title from PDF title page (publisher's Web site, viewed 29. Feb 2020).
Параллельные издания:
1. Print version: :
2. Print version: :
~РУБ DDC 515.7
Рубрики: Functional analysis.
MATHEMATICS--Functional Analysis.
Functional analysis.
Аннотация: Concentration compactness methods are applied to PDE's that lack compactness properties, typically due to the scaling invariance of the underlying problem. This monograph presents a systematic functional-analytic presentation of concentration mechanisms and is by far the most extensive and systematic collection of mathematical tools for analyzing the convergence of functional sequences via the mechanism of concentration.
T 59
Tintarev, Kyril,.
Concentration Compactness : : Functional-Analytic Theory of Concentration Phenomena / / Cyril Tintarev. - 1515/9783110532432. - Berlin ; ; Boston : : De Gruyter,, ©2020. - 1 online resource (xii, 216 pages) ( час. мин.), 1515/9783110532432. - (De Gruyter Series in Nonlinear Analysis and Applications ; ; 33). - In English. - Includes bibliographical references and index. - URL: https://library.dvfu.ru/lib/document/SK_ELIB/A5F522CA-F978-4AC8-9AB2-0B790040F4F2. - ISBN 3110532433. - ISBN 9783110532432 (electronic bk.)
Online resource; title from PDF title page (publisher's Web site, viewed 29. Feb 2020).
Параллельные издания:
1. Print version: :
2. Print version: :
Рубрики: Functional analysis.
MATHEMATICS--Functional Analysis.
Functional analysis.
Аннотация: Concentration compactness methods are applied to PDE's that lack compactness properties, typically due to the scaling invariance of the underlying problem. This monograph presents a systematic functional-analytic presentation of concentration mechanisms and is by far the most extensive and systematic collection of mathematical tools for analyzing the convergence of functional sequences via the mechanism of concentration.
Page 1, Results: 3