N.-Y.: CRC Press, 2010. — 608 p.Classical and Modern Numerical Analysis: Theory, Methods and Practice provides a sound foundation in numerical analysis for more specialized topics, such as finite element theory, advanced numerical linear algebra, and optimization. It prepares graduate students for taking doctoral examinations in numerical analysis. The text covers the main areas of introductory numerical analysis, including the solution of nonlinear equations, numerical linear algebra, ordinary differential equations, approximation theory, numerical integration, and boundary value problems. Focusing on interval computing in numerical analysis, it explains interval arithmetic, interval computation, and interval algorithms. The authors illustrate the concepts with many examples as well as analytical and computational exercises at the end of each chapter. This advanced, graduate-level introduction to the theory and methods of numerical analysis supplies the necessary background in numerical methods so that students can apply the techniques and understand the mathematical literature in this area. Although the book is independent of a specific computer program, MATLAB® code is available on the authors' website to illustrate various concepts.
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Academic Press, 2008. - 272 pages.
Precise numerical analysis may be defined as the study of computer methods for solving mathematical problems either exactly or to prescribed accuracy. This book explains how precise numerical analysis is constructed.
· Clearer, simpler descriptions and explanations of the various numerical methods
· Windows based software
· Two new types...
AvE4EvA, 2014. VI, 653 p. — ISBN-10 953511719X, ISBN-13 978-9535117193.
This volume presents a novel application and use of MATLAB for a specific result.
MATLAB isnt everything to a practicing engineer, its just most everything.
MATLAB is an indispensable asset for scientists, researchers, and engineers.
The richness of the MATLAB computational environment combined with...
CRC Press, Taylor & Francis Group, 2009. — 472 p. — ISBN-13 978-1-4200-9357-5. Numerical and Analytical Methods with MATLAB presents extensive coverage of the MATLAB programming language for engineers. It demonstrates how the built-in functions of MATLAB can be used to solve systems of linear equations, ODEs, roots of transcendental equations, statistical problems, optimization...
3rd Edition. — MIT Press, 2009. — 1312 p. — ISBN 978-0262033848. Some books on algorithms are rigorous but incomplete; others cover masses of material but lack rigor. Introduction to Algorithms uniquely combines rigor and comprehensiveness. The book covers a broad range of algorithms in depth, yet makes their design and analysis accessible to all levels of readers. Each chapter is...
Hoboken: CRC Press, 2013. — 328 p.
About the Authors
List of Figures
List of Tables
Computer Number Systems and Floating Point Arithmetic
Finding Roots of Real Single-Valued Functions
Solving Systems of Linear Equationsby Gaussian Elimination
Polynomial Interpolation and Splines Fitting
Numerical Differentiation and Integration
Advanced Numerical Integration...
5th Edition. — Pearson, 2015. — 579 p. — ISBN: 032198238X, 1292092238
With traditional linear algebra texts, the course is relatively easy for students during the early stages as material is presented in a familiar, concrete setting. However, when abstract concepts are introduced, students often hit a wall. Instructors seem to agree that certain concepts (such as linear...