Numerical Mathematics and Computing

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Cengage Learning, Aug 3, 2007 - Mathematics - 784 pages
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Authors Ward Cheney and David Kincaid show students of science and engineering the potential computers have for solving numerical problems and give them ample opportunities to hone their skills in programming and problem solving. The text also helps students learn about errors that inevitably accompany scientific computations and arms them with methods for detecting, predicting, and controlling these errors. A more theoretical text with a different menu of topics is the authors' highly regarded NUMERICAL ANALYSIS: MATHEMATICS OF SCIENTIFIC COMPUTING, THIRD EDITION.
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Contents

Introduction
1
FloatingPoint Representation and Errors
43
Locating Roots of Equations
76
Interpolation and Numerical Differentiation
124
Numerical Integration
180
Additional Topics on Numerical Integration
216
Systems of Linear Equations
245
Additional Topics Concerning Systems of Linear Equations
293
BoundaryValue Problems for Ordinary Differential Equations
563
Partial Differential Equations
582
Minimization of Functions
625
Linear Programming
657
Advice on Good Programming Practices
684
Representation of Numbers in Different Bases
692
Additional Details on IEEE FloatingPoint Arithmetic
703
Linear Algebra Concepts and Notation
706

Approximation by Spline Functions
371
Ordinary Differential Equations
426
Systems of Ordinary Differential Equations
465
Smoothing of Data and the Method of Least Squares
495
Monte Carlo Methods and Simulation
532
Answers for Selected Problems
724
Bibliography
745
Index
754
Copyright

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About the author (2007)

Kincaid is the recently retired Director of the Bartlett School of Graduate Studies at University College London. Prior to his academic career he was variously London Regional Property Manager for IBM, a member of the Visitors Board of the Building Research Establishment, and Associate Director of Symonds Facilities Management, and Chief Engineer for Drake and Scull Engineering in London.

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