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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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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...
An Introduction to Modeling and Simulation of Particulate Flows (Computational Science and Engineering)
An Introduction to Modeling and Simulation of Particulate Flows (Computational Science and Engineering)
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...
Graph Algorithms in the Language of Linear Algebra (Software, Environments, and Tools)
Graph Algorithms in the Language of Linear Algebra (Software, Environments, and Tools)

Graphs are among the most important abstract data types in computer science, and the algorithms that operate on them are critical to modern life. Graphs have been shown to be powerful tools for modeling complex problems because of their simplicity and generality. Graph algorithms are one of the pillars of mathematics, informing research in...

The DFT: An Owners' Manual for the Discrete Fourier Transform
The DFT: An Owners' Manual for the Discrete Fourier Transform
Just as a prism separates white light into its component bands of colored light, so the discrete Fourier transform (DFT) is used to separate a signal into its constituent frequencies. Just as a pair of sunglasses reduces the glare of white light, permitting only the softer green light to pass, so the DFT may be used to modify a signal to achieve a...
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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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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Matrix Algorithms, Volume I
Matrix Algorithms, Volume I
This book, Basic Decompositions, is the first volume in a projected five-volume series entitled Matrix Algorithms. The other four volumes will treat eigensystems, iterative methods for linear systems, sparse direct methods, and special topics, including fast algorithms for structured matrices.

My intended audience is the nonspecialist
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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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The Lanczos and Conjugate Gradient Algorithms: From Theory to Finite Precision Computations
The Lanczos and Conjugate Gradient Algorithms: From Theory to Finite Precision Computations
"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...
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...
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,...
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