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Numerical Computing with IEEE Floating Point Arithmetic
Numerical Computing with IEEE Floating Point Arithmetic

Are you familiar with the IEEE floating point arithmetic standard? Would you like to understand it better? This book gives a broad overview of numerical computing, in a historical context, with a special focus on the IEEE standard for binary floating point arithmetic. Key ideas are developed step by step, taking the reader from floating point...

Inverse Problem Theory and Methods for Model Parameter Estimation
Inverse Problem Theory and Methods for Model Parameter Estimation
‘Tarantola's book is undoubtedly the most important work on probabilistic inverse theory. It presents a complete theory where a physical parameter is represented, not by a number, but by a probability distribution.’ Klaus Mosegaard, Niels Bohr Institute

The use of actual observations to infer the properties of a
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Numerical Computing with Simulink, Volume I: Creating Simulations
Numerical Computing with Simulink, Volume I: Creating Simulations
Simulation is the preferred approach for engineers and scientists who design complex systems because it allows them to test a system design's performance standards. This book explores simulation, starting with Galileo and ending with the lunar landing. It provides an introduction to computer-aided system design with Simulink®, a robust,...
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...

Numerical Methods for Least Squares Problems
Numerical Methods for Least Squares Problems
The method of least squares was discovered by Gauss in 1795. It has since become the principal tool for reducing the influence of errors when fitting models to given observations. Today, applications of least squares arise in a great number of scientific areas, such as statistics, geodetics, signal processing, and control.

In the last 20 years...

Deblurring Images: Matrices, Spectra, and Filtering (Fundamentals of Algorithms 3)
Deblurring Images: Matrices, Spectra, and Filtering (Fundamentals of Algorithms 3)
“The book’s focus on imaging problems is very unique among the competing books on inverse and ill-posed problems. …It gives a nice introduction into the MATLAB world of images and deblurring problems.”

— Martin Hanke, Professor, Institut für Mathematik, Johannes-Gutenberg-Universität.
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Functions of Matrices: Theory and Computation (Other Titles in Applied Mathematics)
Functions of Matrices: Theory and Computation (Other Titles in Applied Mathematics)
This superb book is timely and is written with great attention paid to detail, particularly in its referencing of the literature. The book has a wonderful blend of theory and code (MATLAB®) so will be useful both to nonexperts and to experts in the field. --Alan Laub, Professor, University of California, Los Angeles

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The Structural Representation of Proximity Matrices With Matlab (ASA-SIAM Series on Statistics and Applied Probability)
The Structural Representation of Proximity Matrices With Matlab (ASA-SIAM Series on Statistics and Applied Probability)

The Structural Representation of Proximity Matrices with MATLAB presents and demonstrates the use of functions within a MATLAB computational environment, affecting various structural representations for the proximity information that is assumed to be available on a set of objects. The representations included in the book have been developed...

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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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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Functions of a Complex Variable: Theory and Technique (Classics in Applied Mathematics)
Functions of a Complex Variable: Theory and Technique (Classics in Applied Mathematics)
In addition to being a rewarding branch of mathematics in its own right, the theory of functions of a complex variable underlies a large number of enormously powerful techniques which find their application not only in other branches of mathematics but also in the sciences and in engineering. Chapters 1, 2, and 5 of this book provide concisely but...
Ants, Bikes, and Clocks: Problem Solving for Undergraduates
Ants, Bikes, and Clocks: Problem Solving for Undergraduates
Mathematics educators agree that problem solving is one of the essential skills their students should possess, yet few mathematics courses or textbooks are devoted entirely to developing this skill. Supported by narrative, examples, and exercises, Ants, Bikes, and Clocks: Problem Solving for Undergraduates is a readable and enjoyable text designed...
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