Concise Numerical Mathematics

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American Mathematical Soc., 2003 - Mathematics - 453 pages
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This book succinctly covers the key topics of numerical methods. While it is basically a survey of the subject, it has enough depth for the student to walk away with the ability to implement the methods by writing computer programs or by applying them to problems in physics or engineering. The author manages to cover the essentials while avoiding redundancies and using well-chosen examples and exercises. The exposition is supplemented by numerous figures. Work estimates and pseudo codes are provided for many algorithms, which can be easily converted to computer programs. Topics covered include interpolation, the fast Fourier transform, iterative methods for solving systems of linear and nonlinear equations, numerical methods for solving ODEs, numerical methods for matrix eigenvalue problems, approximation theory, and computer arithmetic.In general, the author assumes only a knowledge of calculus and linear algebra. 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.
 

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Contents

III
1
IV
20
V
41
VI
59
VII
105
VIII
123
IX
161
X
189
XIII
311
XIV
339
XV
355
XVI
393
XVII
401
XVIII
423
XIX
443
XX
449

XI
247
XII
281

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