Geophysical Inverse Theory
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...
| Main Author: | |
|---|---|
| Format: | eBook |
| Language: | English |
| Published: |
Princeton, NJ
Princeton University Press,
[2019]
|
| Series: | Princeton Series in Geophysics ;
1 |
| Subjects: | |
| Online Access: | https://www.lib.tsu.ru/mminfo/2023/EBSCO/2296568.pdf Перейти в каталог НБ ТГУ |
| LEADER | 03599cam a2200481Mi 4500 | ||
|---|---|---|---|
| 001 | koha001010185 | ||
| 003 | OCoLC | ||
| 005 | 20250707124923.0 | ||
| 006 | m d | ||
| 007 | cr ||||||||||| | ||
| 008 | 200229t20191994nju fod z000 0 eng d | ||
| 035 | |a koha001010185 | ||
| 040 | |a DEGRU |b eng |e rda |c DEGRU |d N$T | ||
| 020 | |a 069120683X | ||
| 020 | |a 9780691206837 |q (electronic bk.) | ||
| 024 | 7 | |a 10.1515/9780691206837 |2 doi | |
| 044 | |a nju |c US-NJ | ||
| 050 | 4 | |a QC808.5.P37 1994 | |
| 072 | 7 | |a SCI019000 |2 bisacsh | |
| 082 | 0 | 4 | |a 550/.1/515 |
| 049 | |a MAIN | ||
| 100 | 1 | |a Parker, Robert L., |4 aut |4 http://id.loc.gov/vocabulary/relators/aut |9 902071 | |
| 245 | 1 | 0 | |a Geophysical Inverse Theory |c Robert L. Parker. |
| 264 | 1 | |a Princeton, NJ |b Princeton University Press, |c [2019] | |
| 264 | 4 | |c ©1994 | |
| 300 | |a 1 online resource |b 90 figs. | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 0 | |a Princeton Series in Geophysics ; |v 1 | |
| 505 | 0 | 0 | |t Frontmatter -- |t CONTENTS -- |t Preface -- |t Chapter 1: Mathematical Precursor -- |t Chapter 2: Linear Problems with Exact Data -- |t Chapter 3: Linear Problems with Uncertain Data -- |t Chapter 4: Resolution and Inference -- |t Chapter 5: Nonlinear Problems -- |t Appendix A: The Dilogarithm Function -- |t Appendix B: Table for 1-norm Misfits -- |t References -- |t Index |
| 520 | |a 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. | ||
| 546 | |a In English. | ||
| 588 | 0 | |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 29. Feb 2020). | |
| 653 | 7 | |a SCIENCE / Earth Sciences / General. |2 bisacsh |9 900211 | |
| 653 | 0 | |a Inversion (Geophysics) |9 902072 | |
| 653 | 0 | |a Geophysics |x Measurement. |9 902073 | |
| 653 | 0 | |a Functional analysis. | |
| 653 | 0 | |a Mathematical optimization. | |
| 655 | 4 | |a EBSCO eBooks | |
| 856 | 4 | 0 | |u https://www.lib.tsu.ru/mminfo/2023/EBSCO/2296568.pdf |
| 856 | |y Перейти в каталог НБ ТГУ |u https://koha.lib.tsu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=1010185 | ||
| 910 | |a EBSCO eBooks | ||
| 999 | |c 1010185 |d 1010185 | ||
| 039 | |b 2 | ||