Approximation Theory and Methods

M. J. D. Powell

ISBN 10: 0521295149 / ISBN 13: 9780521295147

Editore: Cambridge University Press, 1981

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Druck auf Anfrage Neuware - Printed after ordering - Most functions that occur in mathematics cannot be used directly in computer calculations. Instead they are approximated by manageable functions such as polynomials and piecewise polynomials. The general theory of the subject and its application to polynomial approximation are classical, but piecewise polynomials have become far more useful during the last twenty years. Thus many important theoretical properties have been found recently and many new techniques for the automatic calculation of approximations to prescribed accuracy have been developed. This book gives a thorough and coherent introduction to the theory that is the basis of current approximation methods. Professor Powell describes and analyses the main techniques of calculation supplying sufficient motivation throughout the book to make it accessible to scientists and engineers who require approximation methods for practical needs. Because the book is based on a course of lectures to third-year undergraduates in mathematics at Cambridge University, sufficient attention is given to theory to make it highly suitable as a mathematical textbook at undergraduate or postgraduate level.

Codice articolo 9780521295147

Dati bibliografici

• Titolo: Approximation Theory and Methods
• Editore: Cambridge University Press
• Data di pubblicazione: 1981
• Lingua: Inglese
• ISBN 10: 0521295149
• ISBN 13: 9780521295147
• Rilegatura: Taschenbuch
• Condizione: Neu
• Dimensioni: 229 L x 152 A x 21 P (millimetri) 229 millimetri di larghezza per 152 millimetri di altezza per 21 millimetri di profondità
• Peso: 572 grammi

Descrizione articolo

Riassunto

Most functions that occur in mathematics cannot be used directly in computer calculations. Instead they are approximated by manageable functions such as polynomials and piecewise polynomials. The general theory of the subject and its application to polynomial approximation are classical, but piecewise polynomials have become far more useful during the last twenty years. Thus many important theoretical properties have been found recently and many new techniques for the automatic calculation of approximations to prescribed accuracy have been developed. This book gives a thorough and coherent introduction to the theory that is the basis of current approximation methods. Professor Powell describes and analyses the main techniques of calculation supplying sufficient motivation throughout the book to make it accessible to scientists and engineers who require approximation methods for practical needs. Because the book is based on a course of lectures to third-year undergraduates in mathematics at Cambridge University, sufficient attention is given to theory to make it highly suitable as a mathematical textbook at undergraduate or postgraduate level.

Recensione

"Of its kind, this book is excellent, perhaps the best." Journal of Classification