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1.
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DDC 550/.1/515
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/842D3E66-EFF4-4D9A-9001-D764C418A0D0. - 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/842D3E66-EFF4-4D9A-9001-D764C418A0D0. - 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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DDC 519.7/2
B 79
Bosch, Robert ((Professor of Mathematics, Oberlin College),).
Opt art : : from mathematical optimization to visual design / / Robert Bosch. - Princeton ; ; Oxford : : Princeton University Press,, ©2019. - 1 online resource (x, 188 pages) : il. - In English. - Includes bibliographical references (pages 183-184) and index. - URL: https://library.dvfu.ru/lib/document/SK_ELIB/5E45CBA4-452A-435C-A87D-56A9592F6DED. - ISBN 9780691197036 (ebook). - ISBN 0691197032
Description based on print version record and CIP data provided by publisher; resource not viewed.
Параллельные издания: Print version: : Opt art. - Princeton ; Princeton University Press, [2019]. - ISBN 9780691164069
~РУБ DDC 519.7/2
Рубрики: Mathematics in art.
Art--Mathematics.
Mathematical optimization.
Linear programming.
Computer art.
Linear programming.
Art--Mathematics.
Computer art.
Mathematical optimization.
Mathematics in art.
Gebrauchsgrafik.
Visualisierung.
Kunst.
Lineare Optimierung.
Mathematik.
MATHEMATICS--Optimization.
Кл.слова (ненормированные):
Western, International (Western Style) -- Electronic Media/Computer Art
Аннотация: "Linear optimization is a powerful modeling method for discovering the best solution to a problem among a set of available alternatives. It is one of today's most important branches of mathematics and computer science--and also a surprisingly rich medium for creating breathtaking works of art. Opt Art takes readers on an entertaining tour of linear optimization and its applications, showing along the way how it can be used to design visual art. Robert Bosch provides a lively and accessible introduction to the geometric, algebraic, and algorithmic foundations of optimization. He presents classical applications, such as the legendary Traveling Salesman Problem, and shows how to adapt them to make optimization art--opt art. Each chapter in this marvelously illustrated book begins with a problem or puzzle and demonstrates how the solution can be derived using a host of artistic methods and media, including 3D printing, laser cutting, and computer-controlled machining. Bosch focuses on mathematical modeling throughout--converting a problem into a workable mathematical form, solving it using optimization techniques, and examining the results, which can take the form of mosaics, line drawings, and even sculpture. All you need is some high-school algebra, geometry, and calculus to follow along. Featuring more than a hundred illustrations and photos of Bosch's own art, Opt Art demonstrates how mathematics and computing can be used to create beauty and express emotion through amazing works of art."--
B 79
Bosch, Robert ((Professor of Mathematics, Oberlin College),).
Opt art : : from mathematical optimization to visual design / / Robert Bosch. - Princeton ; ; Oxford : : Princeton University Press,, ©2019. - 1 online resource (x, 188 pages) : il. - In English. - Includes bibliographical references (pages 183-184) and index. - URL: https://library.dvfu.ru/lib/document/SK_ELIB/5E45CBA4-452A-435C-A87D-56A9592F6DED. - ISBN 9780691197036 (ebook). - ISBN 0691197032
Description based on print version record and CIP data provided by publisher; resource not viewed.
Параллельные издания: Print version: : Opt art. - Princeton ; Princeton University Press, [2019]. - ISBN 9780691164069
Рубрики: Mathematics in art.
Art--Mathematics.
Mathematical optimization.
Linear programming.
Computer art.
Linear programming.
Art--Mathematics.
Computer art.
Mathematical optimization.
Mathematics in art.
Gebrauchsgrafik.
Visualisierung.
Kunst.
Lineare Optimierung.
Mathematik.
MATHEMATICS--Optimization.
Кл.слова (ненормированные):
Western, International (Western Style) -- Electronic Media/Computer Art
Аннотация: "Linear optimization is a powerful modeling method for discovering the best solution to a problem among a set of available alternatives. It is one of today's most important branches of mathematics and computer science--and also a surprisingly rich medium for creating breathtaking works of art. Opt Art takes readers on an entertaining tour of linear optimization and its applications, showing along the way how it can be used to design visual art. Robert Bosch provides a lively and accessible introduction to the geometric, algebraic, and algorithmic foundations of optimization. He presents classical applications, such as the legendary Traveling Salesman Problem, and shows how to adapt them to make optimization art--opt art. Each chapter in this marvelously illustrated book begins with a problem or puzzle and demonstrates how the solution can be derived using a host of artistic methods and media, including 3D printing, laser cutting, and computer-controlled machining. Bosch focuses on mathematical modeling throughout--converting a problem into a workable mathematical form, solving it using optimization techniques, and examining the results, which can take the form of mosaics, line drawings, and even sculpture. All you need is some high-school algebra, geometry, and calculus to follow along. Featuring more than a hundred illustrations and photos of Bosch's own art, Opt Art demonstrates how mathematics and computing can be used to create beauty and express emotion through amazing works of art."--
Page 1, Results: 2