Concise Numerical Mathematics

Concise Numerical Mathematics

Author: Robert Plato

Publisher: American Mathematical Soc.

Published: 2003

Total Pages: 476

ISBN-13: 9780821834145

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"The book is suitable as a text for a first course in numerical methods for mathematics students or students in neighboring fields, such as engineering, physics, and computer science. In general, the author assumes only a knowledge of calculus and linear algebra."--BOOK JACKET.


A Survey of Numerical Mathematics

A Survey of Numerical Mathematics

Author: David M. Young

Publisher: Courier Corporation

Published: 1988-01-01

Total Pages: 562

ISBN-13: 0486656918

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Volume I of two-volume set offers broad self-contained coverage of computer-oriented numerical algorithms for solving mathematical problems related to linear algebra, ordinary and partial differential equations, and much more. 1972 edition.


Numerical Mathematics

Numerical Mathematics

Author: Alfio Quarteroni

Publisher: Springer

Published: 2017-01-26

Total Pages: 669

ISBN-13: 0387227504

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The purpose of this book is to provide the mathematical foundations of numerical methods, to analyze their basic theoretical properties and to demonstrate their performances on examples and counterexamples. Within any specific class of problems, the most appropriate scientific computing algorithms are reviewed, their theoretical analyses are carried out and the expected results are verified using the MATLAB software environment. Each chapter contains examples, exercises and applications of the theory discussed to the solution of real-life problems. While addressed to senior undergraduates and graduates in engineering, mathematics, physics and computer sciences, this text is also valuable for researchers and users of scientific computing in a large variety of professional fields.


Numerical Polynomial Algebra

Numerical Polynomial Algebra

Author: Hans J. Stetter

Publisher: SIAM

Published: 2004-05-01

Total Pages: 475

ISBN-13: 0898715571

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This book is the first comprehensive treatment of numerical polynomial algebra, an area which so far has received little attention.


Numerical Methods in Scientific Computing

Numerical Methods in Scientific Computing

Author: Germund Dahlquist

Publisher: SIAM

Published: 2008-01-01

Total Pages: 742

ISBN-13: 0898717787

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This new book from the authors of the classic book Numerical methods addresses the increasingly important role of numerical methods in science and engineering. More cohesive and comprehensive than any other modern textbook in the field, it combines traditional and well-developed topics with other material that is rarely found in numerical analysis texts, such as interval arithmetic, elementary functions, operator series, convergence acceleration, and continued fractions. Although this volume is self-contained, more comprehensive treatments of matrix computations will be given in a forthcoming volume. A supplementary Website contains three appendices: an introduction to matrix computations; a description of Mulprec, a MATLAB multiple precision package; and a guide to literature, algorithms, and software in numerical analysis. Review questions, problems, and computer exercises are also included. For use in an introductory graduate course in numerical analysis and for researchers who use numerical methods in science and engineering.


Numerical Methods for Least Squares Problems

Numerical Methods for Least Squares Problems

Author: Ake Bjorck

Publisher: SIAM

Published: 1996-01-01

Total Pages: 425

ISBN-13: 9781611971484

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The method of least squares was discovered by Gauss in 1795. It has since become the principal tool to reduce 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 there has been a great increase in the capacity for automatic data capturing and computing. Least squares problems of large size are now routinely solved. Tremendous progress has been made in numerical methods for least squares problems, in particular for generalized and modified least squares problems and direct and iterative methods for sparse problems. Until now there has not been a monograph that covers the full spectrum of relevant problems and methods in least squares. This volume gives an in-depth treatment of topics such as methods for sparse least squares problems, iterative methods, modified least squares, weighted problems, and constrained and regularized problems. The more than 800 references provide a comprehensive survey of the available literature on the subject.


Numerical Algorithms

Numerical Algorithms

Author: Justin Solomon

Publisher: CRC Press

Published: 2015-06-24

Total Pages: 400

ISBN-13: 1482251892

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Numerical Algorithms: Methods for Computer Vision, Machine Learning, and Graphics presents a new approach to numerical analysis for modern computer scientists. Using examples from a broad base of computational tasks, including data processing, computational photography, and animation, the textbook introduces numerical modeling and algorithmic desig


Numerical Analysis of Spectral Methods

Numerical Analysis of Spectral Methods

Author: David Gottlieb

Publisher: SIAM

Published: 1977-01-01

Total Pages: 167

ISBN-13: 0898710235

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A unified discussion of the formulation and analysis of special methods of mixed initial boundary-value problems. The focus is on the development of a new mathematical theory that explains why and how well spectral methods work. Included are interesting extensions of the classical numerical analysis.