Harold Cohen

Numerical Approximation Methods (eBook, PDF)

p ~ 355/113

• Format: PDF

Produktbeschreibung

This book presents numerical approximation techniques for solving various types of mathematical problems that cannot be solved analytically. In addition to well-known methods, it contains a collection of non-standard approximation techniques that appear in the literature but are not otherwise well known. This text also contains original methods developed by the author. It includes an extensive treatment of approximate solutions to various types of integral equations. Examples are used extensively to illustrate the theory. Problems at the end of the chapters are provided for practice.

The book is suitable as a textbook or as a reference for students taking a course in numerical methods. Researchers in need of approximation methods in their work will also find this book useful.

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Produktdetails

• Verlag: Springer New York
• Seitenzahl: 485
• Erscheinungstermin: 10. Dezember 2011
• Englisch
• ISBN-13: 9781441998378
• Artikelnr.: 37338080

Inhaltsangabe

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.

Rezensionen

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)