Geophysical Inverse Theory / / Robert L. Parker.
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...
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Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2019] ©1994 |
Year of Publication: | 2019 |
Language: | English |
Series: | Princeton Series in Geophysics ;
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Physical Description: | 1 online resource (400 p.) :; 90 figs. |
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Parker, Robert L., author. aut http://id.loc.gov/vocabulary/relators/aut Geophysical Inverse Theory / Robert L. Parker. Princeton, NJ : Princeton University Press, [2019] ©1994 1 online resource (400 p.) : 90 figs. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Princeton Series in Geophysics ; 1 Frontmatter -- CONTENTS -- Preface -- Chapter 1: Mathematical Precursor -- Chapter 2: Linear Problems with Exact Data -- Chapter 3: Linear Problems with Uncertain Data -- Chapter 4: Resolution and Inference -- Chapter 5: Nonlinear Problems -- Appendix A: The Dilogarithm Function -- Appendix B: Table for 1-norm Misfits -- References -- Index restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star 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. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 30. Aug 2021) Functional analysis. Geophysics Measurement. Inversion (Geophysics). Mathematical optimization. SCIENCE / Earth Sciences / General. bisacsh Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Archive 1927-1999 9783110442496 https://doi.org/10.1515/9780691206837?locatt=mode:legacy https://www.degruyter.com/isbn/9780691206837 Cover https://www.degruyter.com/cover/covers/9780691206837.jpg |
language |
English |
format |
eBook |
author |
Parker, Robert L., Parker, Robert L., |
spellingShingle |
Parker, Robert L., Parker, Robert L., Geophysical Inverse Theory / Princeton Series in Geophysics ; Frontmatter -- CONTENTS -- Preface -- Chapter 1: Mathematical Precursor -- Chapter 2: Linear Problems with Exact Data -- Chapter 3: Linear Problems with Uncertain Data -- Chapter 4: Resolution and Inference -- Chapter 5: Nonlinear Problems -- Appendix A: The Dilogarithm Function -- Appendix B: Table for 1-norm Misfits -- References -- Index |
author_facet |
Parker, Robert L., Parker, Robert L., |
author_variant |
r l p rl rlp r l p rl rlp |
author_role |
VerfasserIn VerfasserIn |
author_sort |
Parker, Robert L., |
title |
Geophysical Inverse Theory / |
title_full |
Geophysical Inverse Theory / Robert L. Parker. |
title_fullStr |
Geophysical Inverse Theory / Robert L. Parker. |
title_full_unstemmed |
Geophysical Inverse Theory / Robert L. Parker. |
title_auth |
Geophysical Inverse Theory / |
title_alt |
Frontmatter -- CONTENTS -- Preface -- Chapter 1: Mathematical Precursor -- Chapter 2: Linear Problems with Exact Data -- Chapter 3: Linear Problems with Uncertain Data -- Chapter 4: Resolution and Inference -- Chapter 5: Nonlinear Problems -- Appendix A: The Dilogarithm Function -- Appendix B: Table for 1-norm Misfits -- References -- Index |
title_new |
Geophysical Inverse Theory / |
title_sort |
geophysical inverse theory / |
series |
Princeton Series in Geophysics ; |
series2 |
Princeton Series in Geophysics ; |
publisher |
Princeton University Press, |
publishDate |
2019 |
physical |
1 online resource (400 p.) : 90 figs. |
contents |
Frontmatter -- CONTENTS -- Preface -- Chapter 1: Mathematical Precursor -- Chapter 2: Linear Problems with Exact Data -- Chapter 3: Linear Problems with Uncertain Data -- Chapter 4: Resolution and Inference -- Chapter 5: Nonlinear Problems -- Appendix A: The Dilogarithm Function -- Appendix B: Table for 1-norm Misfits -- References -- Index |
isbn |
9780691206837 9783110442496 |
callnumber-first |
Q - Science |
callnumber-subject |
QC - Physics |
callnumber-label |
QC808 |
callnumber-sort |
QC 3808.5 P37 41994 |
url |
https://doi.org/10.1515/9780691206837?locatt=mode:legacy https://www.degruyter.com/isbn/9780691206837 https://www.degruyter.com/cover/covers/9780691206837.jpg |
illustrated |
Not Illustrated |
dewey-hundreds |
500 - Science |
dewey-tens |
550 - Earth sciences & geology |
dewey-ones |
550 - Earth sciences |
dewey-full |
550/.1/515 |
dewey-sort |
3550 11 3515 |
dewey-raw |
550/.1/515 |
dewey-search |
550/.1/515 |
doi_str_mv |
10.1515/9780691206837?locatt=mode:legacy |
oclc_num |
1143833237 |
work_keys_str_mv |
AT parkerrobertl geophysicalinversetheory |
status_str |
n |
ids_txt_mv |
(DE-B1597)544954 (OCoLC)1143833237 |
carrierType_str_mv |
cr |
hierarchy_parent_title |
Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Archive 1927-1999 |
is_hierarchy_title |
Geophysical Inverse Theory / |
container_title |
Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Archive 1927-1999 |
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1806143275497684992 |
fullrecord |
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