
Introduction to the Mathematics of Inversion in Remote Sensing and Indirect Measurements
- English
- PDF
- Available on iOS & Android
Introduction to the Mathematics of Inversion in Remote Sensing and Indirect Measurements
About this book
Developments in Geomathematics, 3: Introduction to the Mathematics of Inversion in Remote Sensing and Indirect Measurements focuses on the application of the mathematics of inversion in remote sensing and indirect measurements, including vectors and matrices, eigenvalues and eigenvectors, and integral equations. The publication first examines simple problems involving inversion, theory of large linear systems, and physical and geometric aspects of vectors and matrices. Discussions focus on geometrical view of matrix operations, eigenvalues and eigenvectors, matrix products, inverse of a matrix, transposition and rules for product inversion, and algebraic elimination. The manuscript then tackles the algebraic and geometric aspects of functions and function space and linear inversion methods, as well as the algebraic and geometric nature of constrained linear inversion, least squares solution, approximation by sums of functions, and integral equations. The text examines information content of indirect sensing measurements, further inversion techniques, and linear inversion methods. The publication is a valuable reference for researchers interested in the application of the mathematics of inversion in remote sensing and indirect measurements.
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Information
Table of contents
- Front Cover
- Introduction to the Mathematics of Inversion in Remote Sensing and Indirect Measurements
- Copyright Page
- Table of Contents
- Preface
- List of frequently used symbols and their meanings
- Chapter 1. Introduction
- Chapter 2. Simple problems involving inversion
- Chapter 3. Theory of large linear systems
- Chapter 4. Physical and geometric aspects of vectors and matrices
- Chapter 5. Algebraic and geometric aspects of functions and function space
- Chapter 6. Linear inversion methods
- Chapter 7. Further inversion techniques
- Chapter 8. Information content of indirect sensing measurements
- Chapter 9. Further topics
- Appendix
- Suggestions for further reading
- Name index
- Subject index