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A comprehensive description of the current theoretical and
numerical aspects of inverse problems in partial differential
equations. Applications include recovery of inclusions from
anomalies of their gravity fields, reconstruction of the interior
of the human body from exterior electrical, ultrasonic, and
magnetic measurement. By presenting the data in a readable and
informative manner, the book introduces both scientific and
engineering researchers as well as graduate students to the
significant work done in this area in recent years, relating it to
broader themes in mathematical analysis.
A comprehensive description of the current theoretical and
numerical aspects of inverse problems in partial differential
equations. Applications include recovery of inclusions from
anomalies of their gravity fields, reconstruction of the interior
of the human body from exterior electrical, ultrasonic, and
magnetic measurement. By presenting the data in a readable and
informative manner, the book introduces both scientific and
engineering researchers as well as graduate students to the
significant work done in this area in recent years, relating it to
broader themes in mathematical analysis.
Victor Isakov This volume contains various results on partial
di?erential equations where Sobolev spaces are used. Their
selection is motivated by the research int- ests of the editor and
the geographicallinks to the places where S. L. Sobolev worked and
lived: St. Petersburg, Moscow, and Novosibirsk. Most of the papers
are written by leading experts in control theory and inverse pr-
lems. Another reason for the selection is a strong link to applied
areas. In my opinion, control theory and inverse problems are main
areas of di?er- tial equations of importance for some branches of
contemporary science and engineering. S. L. Sobolev, as many great
mathematicians, was very much motivated by applications. He did not
distinguished between pure and - plied mathematics, but, in his own
words, between "good mathematics and bad mathematics. " While he
possessed a brilliant analytical technique, he most valued
innovative ideas, solutions of deep conceptual problems, and not
mathematical decorations, perfecting exposition, and
"generalizations. " S. L. Sobolev himself never published papers on
inverse problems or c- trol theory, but he was very much aware of
the state of art and he monitored research on inverse problems. In
particular, in his lecture at a Conference on
Di?erentialEquationsin1954(found inSobolev'sarchiveandmadeavailable
to me by Alexander Bukhgeim), he outlined main inverse problems in
g- physics: theinverseseismicproblem,
theelectromagneticprospecting, andthe inverse problem of
gravimetry.
Victor Isakov This volume contains various results on partial
di?erential equations where Sobolev spaces are used. Their
selection is motivated by the research int- ests of the editor and
the geographicallinks to the places where S. L. Sobolev worked and
lived: St. Petersburg, Moscow, and Novosibirsk. Most of the papers
are written by leading experts in control theory and inverse pr-
lems. Another reason for the selection is a strong link to applied
areas. In my opinion, control theory and inverse problems are main
areas of di?er- tial equations of importance for some branches of
contemporary science and engineering. S. L. Sobolev, as many great
mathematicians, was very much motivated by applications. He did not
distinguished between pure and - plied mathematics, but, in his own
words, between "good mathematics and bad mathematics. " While he
possessed a brilliant analytical technique, he most valued
innovative ideas, solutions of deep conceptual problems, and not
mathematical decorations, perfecting exposition, and
"generalizations. " S. L. Sobolev himself never published papers on
inverse problems or c- trol theory, but he was very much aware of
the state of art and he monitored research on inverse problems. In
particular, in his lecture at a Conference on
Di?erentialEquationsin1954(found inSobolev'sarchiveandmadeavailable
to me by Alexander Bukhgeim), he outlined main inverse problems in
g- physics: theinverseseismicproblem,
theelectromagneticprospecting, andthe inverse problem of
gravimetry.
Prepare for Microsoft Exam 70-764-and help demonstrate your
real-world mastery of skills for database administration. This exam
is intended for database administrators charged with installation,
maintenance, and configuration tasks. Their responsibilities also
include setting up database systems, making sure those systems
operate efficiently, and regularly storing, backing up, and
securing data from unauthorized access. Focus on the expertise
measured by these objectives: * Configure data access and auditing
* Manage backup and restore of databases * Manage and monitor SQL
Server instances * Manage high availability and disaster recovery
This Microsoft Exam Ref: * Organizes its coverage by exam
objectives * Features strategic, what-if scenarios to challenge you
* Assumes you have working knowledge of database installation,
configuration, and maintenance tasks. You should also have
experience with setting up database systems, ensuring those systems
operate efficiently, regularly storing and backing up data, and
securing data from unauthorized access. About the Exam Exam 70-764
focuses on skills and knowledge required for database
administration. About Microsoft Certification Passing both Exam
70-764 and Exam 70-765 (Provisioning SQL Databases) earns you
credit toward an MCSA: SQL 2016 Database Administration
certification. See full details at: microsoft.com/learning
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