Introduction to the Mathematics of Inversion in Remote Sensing and Indirect Measurements

Introduction to the Mathematics of Inversion in Remote Sensing and Indirect Measurements PDF

Author: S. Twomey

Publisher: Courier Dover Publications

Published: 2019-05-15

Total Pages: 259

ISBN-13: 0486832988

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In this graduate-level monograph, S. Twomey, a professor of atmospheric sciences, develops the background and fundamental theory of inversion processes used in remote sensing — e.g., atmospheric temperature structure measurements from satellites—starting at an elementary level. The text opens with examples of inversion problems from a variety of disciplines, showing that the same problem—solution of a Fredholm linear integral equation of the first kind — is involved in every instance. A discussion of the reduction of such integral equations to a system of linear algebraic equations follows. Subsequent chapters examine methods for obtaining stable solutions at the expense of introducing constraints in the solution, the derivation of other inversion procedures, and the detailed analysis of the information content of indirect measurements. Each chapter begins with a discussion that outlines problems and questions to be covered, and a helpful Appendix includes suggestions for further reading.

Introduction to the Mathematics of Inversion in Remote Sensing and Indirect Measurements

Introduction to the Mathematics of Inversion in Remote Sensing and Indirect Measurements PDF

Author: S. Twomey

Publisher: Courier Corporation

Published: 2014-02-04

Total Pages: 302

ISBN-13: 0486781380

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Graduate-level monograph develops background and fundamental theory of inversion processes used in remote sensing (e.g. atmospheric temperature structure measurements from satellites), starting at elementary level. Largely self-contained; each chapter begins with elementary discussion outlining problems and questions to be covered. Suggestions for further reading.

Introduction to Inverse Problems in Imaging

Introduction to Inverse Problems in Imaging PDF

Author: M. Bertero

Publisher: CRC Press

Published: 2020-08-30

Total Pages: 366

ISBN-13: 9781439822067

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This is a graduate textbook on the principles of linear inverse problems, methods of their approximate solution, and practical application in imaging. The level of mathematical treatment is kept as low as possible to make the book suitable for a wide range of readers from different backgrounds in science and engineering. Mathematical prerequisites are first courses in analysis, geometry, linear algebra, probability theory, and Fourier analysis. The authors concentrate on presenting easily implementable and fast solution algorithms. With examples and exercises throughout, the book will provide the reader with the appropriate background for a clear understanding of the essence of inverse problems (ill-posedness and its cure) and, consequently, for an intelligent assessment of the rapidly growing literature on these problems.

Mathematical Principles of Remote Sensing

Mathematical Principles of Remote Sensing PDF

Author: Andrew S Milman

Publisher: CRC Press

Published: 2000-03-01

Total Pages: 424

ISBN-13: 9780203305782

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This book is an informative reference, or working textbook, on the mathematics, and general physical and chemical processes behind remote sensor measurements.

Problems in Modern Mathematics

Problems in Modern Mathematics PDF

Author: Stanislaw M. Ulam

Publisher: Courier Corporation

Published: 2004-06-23

Total Pages: 182

ISBN-13: 9780486495835

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Ulam, famous for his solution to the difficulties of initiating fusion in the hydrogen bomb, devised the well-known Monte-Carlo method. Here he presents challenges in the areas of set theory, algebra, metric and topological spaces, and topological groups. Issues in analysis, physical systems, and the use of computers as a heuristic aid are also addressed.

Occultations for Probing Atmosphere and Climate

Occultations for Probing Atmosphere and Climate PDF

Author: Gottfried Kirchengast

Publisher: Springer Science & Business Media

Published: 2013-03-09

Total Pages: 432

ISBN-13: 3662090414

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Use of occultation methodology for observing the Earth's atmosphere and climate has become so broad as to comprise solar, lunar, stellar, navigation and satellite crosslink occultation methods. The atmospheric parameters obtained extend from the fundamental variables temperature, density, pressure, water vapor, and ozone via a multitude of trace gas species to particulate species such as aerosols and cloud liquid water. Ionospheric electron density is sensed as well. The methods all share the key properties of self-calibration, high accuracy and vertical resolution, global coverage, and (if using radio signals) all-weather capability. Occultation data are thus of high value in a wide range of fields including climate monitoring and research, atmospheric physics and chemistry, operational meteorology, and other fields such as space weather and planetary science. This wide area of variants and uses of the occultation method has led to a diversi fication of the occultation-related scientific community into a range of different sub-communities, however. The 1st International Workshop on Occultations for Probing Atmosphere and Cli mate-OPAC-1- held September 16-20, 2002, in Graz, Austria, has set in ex actly at this point. OPAC-1 aimed at providing a casual forum and stimulating at mosphere fertilizing scientific discourse, co-operation initiatives, and mutual learning and support amongst members of all the different sub-communities. The workshop was attended by about 80 participants from 17 different countries who actively contributed to a scientific programme of high quality and to an excellent workshop atmosphere, which was judged by the participants to have fully met the aims expressed.

On the Study and Difficulties of Mathematics

On the Study and Difficulties of Mathematics PDF

Author: Augustus De Morgan

Publisher: Courier Corporation

Published: 2014-03-05

Total Pages: 308

ISBN-13: 0486155153

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One of the twentieth century's most eminent mathematical writers, Augustus De Morgan enriched his expositions with insights from history and psychology. On the Study and Difficulties of Mathematics represents some of his best work, containing points usually overlooked by elementary treatises, and written in a fresh and natural tone that provides a refreshing contrast to the mechanical character of common textbooks. Presuming only a knowledge of the rules of algebra and Euclidean theorems, De Morgan begins with some introductory remarks on the nature and objects of mathematics. He discusses the concept of arithmetical notion and its elementary rules, including arithmetical reactions and decimal fractions. Moving on to algebra, he reviews the elementary principles, examines equations of the first and second degree, and surveys roots and logarithms. De Morgan's book concludes with an exploration of geometrical reasoning that encompasses the formulation and use of axioms, the role of proportion, and the application of algebra to the measurement of lines, angles, the proportion of figures, and surfaces.

Great Currents of Mathematical Thought

Great Currents of Mathematical Thought PDF

Author: François Le Lionnais

Publisher: Courier Corporation

Published: 2004-01-01

Total Pages: 280

ISBN-13: 9780486495798

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50 essays by eminent scholars include meditations on "Structures," Disciplines," "Space," "Function," "Group," "Probability," and "The Mathematical Epic" (Volume I) and on "Mathematics and the Human Intellect," "Mathematics and Technology," and "Mathematics and Civilization" (Volume II). 1962 edition.