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Spectral Methods in MATLAB (Software, Environments, Tools)
Spectral Methods in MATLAB (Software, Environments, Tools)
This is the only book on spectral methods built around MATLAB programs. Along with finite differences and finite elements, spectral methods are one of the three main technologies for solving partial differential equations on computers. Since spectral methods involve significant linear algebra and graphics they are very suitable for the high...
Mathematical Methods in Image Reconstruction (Monographs on Mathematical Modeling and Computation)
Mathematical Methods in Image Reconstruction (Monographs on Mathematical Modeling and Computation)

Since the advent of computerized tomography in radiology, many imaging techniques have been introduced in medicine, science, and technology. This book describes the state of the art of the mathematical theory and numerical analysis of imaging. The authors survey and provide a unified view of imaging techniques, provide the necessary...

The Mathematics of Computerized Tomography (Classics in Applied Mathematics)
The Mathematics of Computerized Tomography (Classics in Applied Mathematics)

By computerized tomography (CT) we mean the reconstruction of a function from its line or plane integrals, irrespective of the field where this technique is applied. In the early 1970s CT was introduced in diagnostic radiology and since then, many other applications of CT have become known, some of them preceding the application in radiology...

Matrix Algorithms, Volume II: Eigensystems
Matrix Algorithms, Volume II: Eigensystems
This book, Eigensystems, is the second volume in a projected five-volume series entitled Matrix Algorithms. The first volume treated basic decompositions. The three following this volume will treat iterative methods for linear systems, sparse direct methods, and special topics, including fast algorithms for structured matrices.

My
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Fuzzy Logic and Probability Applications: A Practical Guide
Fuzzy Logic and Probability Applications: A Practical Guide

Probability theory and fuzzy logic are the principal components of an array of methodologies for dealing with problems in which uncertainty and imprecision play important roles. In relation to probability theory, fuzzy logic is a new kid on the block. As such, it has been and continues to be, though to a lesser degree, an object of...

The Lanczos Method: Evolution and Application (Software, Environments and Tools)
The Lanczos Method: Evolution and Application (Software, Environments and Tools)
'I recommend this book to anyone who wants to appreciate the often subtle interactions between algorithm research and engineering applications. For the engineer, it comprehensively summarizes 25 years of intellectual development in the understanding of the basic Lanczos algorithm and its many variants. For the numerical analysts, it describes the...
Solving Nonlinear Equations with Newton's Method (Fundamentals of Algorithms)
Solving Nonlinear Equations with Newton's Method (Fundamentals of Algorithms)
This small book on Newton's method is a user-oriented guide to algorithms and implementation. Its purpose is to show, via algorithms in pseudocode, in MATLAB®, and with several examples, how one can choose an appropriate Newton-type method for a given problem and write an efficient solver or apply one written by others.

This book is
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Marine Acoustics: Direct and Inverse Problems
Marine Acoustics: Direct and Inverse Problems
‘This book is a very thorough mathematical treatise on direct and inverse problems in marine acoustics. Waveguide inversion problems have not received the attention they deserve in the literature and this book may correct some of this inattention.’ John A. DeSanto, Mathematical Reviews

This book presents current
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Mathematical Principles of Optical Fiber Communication (CBMS-NSF Regional Conference Series in Applied Mathematics)
Mathematical Principles of Optical Fiber Communication (CBMS-NSF Regional Conference Series in Applied Mathematics)
With the maturing of mobile portable telephony and the emerging broadband access market, greater fiber transmission capacity will be essential in the early 21st century. Since the demand for more capacity drives the development of new optics-based technologies, fiber optics therefore remains a vibrant area for research. Mathematical Principles of...
Numerical Polynomial Algebra
Numerical Polynomial Algebra
This first book on the numerical analysis of polynomial systems is a stepping stone at the interface of symbolic computation and numerical computation. Bernard Sturmfels, Department of Mathematics, University of Berkeley

I am not familiar with any books that do such a careful job of combining numerical analysis with the algebra of
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The SIAM 100-Digit Challenge: A Study in High-Accuracy Numerical Computing
The SIAM 100-Digit Challenge: A Study in High-Accuracy Numerical Computing
"Destined to be a classic of modern computational science... a gourmet feast in ten courses." from the foreword by David H. Bailey, Lawrence Berkeley National Laboratory."

The authors, members of teams that solved all 10 problems, show in detail multiple approaches for solving each problem,
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Algebraic Theory of Automata Networks (SIAM Monographs on Discrete Mathematics and Applications, 11)
Algebraic Theory of Automata Networks (SIAM Monographs on Discrete Mathematics and Applications, 11)
This self-contained monograph covers the foundations of what is currently known about automata networks, giving the reader sufficient theoretical background to be at the forefront of research in many related areas. Alexandra Kireeva, Mathematical Reviews

Algebraic Theory of Automata Networks investigates automata networks as
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