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Numerical Methods for Least Squares Problems

SIAM, 1996

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...

Algebraic Theory of Automata Networks (SIAM Monographs on Discrete Mathematics and Applications, 11)

SIAM, 2004

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...

Numerical Polynomial Algebra

SIAM, 2004

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...

Mathematical Principles of Optical Fiber Communication (CBMS-NSF Regional Conference Series in Applied Mathematics)

SIAM, 2004

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...

The Lanczos and Conjugate Gradient Algorithms: From Theory to Finite Precision Computations

SIAM, 2006

"No present book comes near this one in the range and depth of treatment of these two extremely important methods—the Lanczos algorithm and the method of conjugate gradients." Chris Paige, School of Computer Science, McGill University. The Lanczos and conjugate gradient (CG) algorithms are fascinating numerical...

An Introduction to Modeling and Simulation of Particulate Flows (Computational Science and Engineering)

SIAM, 2007

The relatively recent increase in computational power available for mathematical modeling and simulation raises the possibility that modern numerical methods can play a significant role in the analysis of complex particulate flows. This introductory monograph focuses on basic models and physically based computational solution strategies for the...

Ants, Bikes, and Clocks: Problem Solving for Undergraduates

SIAM, 2004

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...

Functions of a Complex Variable: Theory and Technique (Classics in Applied Mathematics)

SIAM, 2005

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...

Numerical Computing with Simulink, Volume I: Creating Simulations

SIAM, 2007

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 SimulinkÂ®, a robust,...

The Lanczos Method: Evolution and Application (Software, Environments and Tools)

SIAM, 1987

'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...

Numerical Computing with MATLAB

SIAM, 2008

This is a lively textbook for an introductory course in numerical methods, MATLAB, and technical computing, which emphasises the informed use of mathematical software. Numerical Computing with MATLAB helps readers learn about the mathematical functions in MATLAB, how to appreciate their limitations, and how to use and modify them appropriately....

Introduction to the Mathematics of Medical Imaging, Second Edition

SIAM, 2007

At the heart of every medical imaging technology is a sophisticated mathematical model of the measurement process and an algorithm to reconstruct an image from the measured data. This book provides a firm foundation in the mathematical tools used to model the measurements and derive the reconstruction algorithms used in most imaging modalities in...

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