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Numerical Approximation Methods
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Table of Contents

Preface. -1 INTERPOLATION and CURVE FITTING. -2 ZEROS of a FUNCTION. -3 SERIES. -4 INTEGRATION. -5 DETERMINANTS and MATRICES. -6 ORDINARY FIRST ORDER DIFFERENTIAL EQUATIONS. -7 ORDINARY SECOND ORDER DIFFERENTIAL EQUATIONS. -8 PARTIAL DIFFERENTIAL EQUATIONS. -9 LINEAR INTEGRAL EQUATIONS IN ONE VARIABLE. -APPENDIX 1 PADE APPROXIMANTS. -APPENDIX 2 INFINITE SERIES CONVERGENCE TESTS. -APPENDIX 3 GAMMA and BETA FUNCTIONS. -APPENDIX 4 PROPERTIES OF DETERMINANTS. -APPENDIX 5 PROOF OF THE SINGULARITY OF A MATRIX. –References. -INDEX.

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From the reviews:“This book is appropriate as a text for a course in computational methods as well as a reference for researchers who need such methods in their work. This book presents numerical approximation techniques for solving various types of mathematical problems that cannot be solved analytically. … This text also contains original methods developed by the author. Examples are used extensively to illustrate the theory.” (Michael M. Pahirya, Zentralblatt MATH, Vol. 1228, 2012)

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