Basic Numerical Mathematics

J. Todd

ISBN 10: 3034872313 / ISBN 13: 9783034872317

Editore: Birkhäuser Basel, Birkhäuser Basel Feb 2012, 2012

Riguardo questo articolo

This item is printed on demand - Print on Demand Titel. Neuware -There is no doubt nowadays that numerical mathematics is an essential component of any educational program. It is probably more efficient to present such material after a strong grasp of (at least) linear algebra and calculus has already been attained -but at this stage those not specializing in numerical mathematics are often interested in getting more deeply into their chosen field than in developing skills for later use. An alternative approach is to incorporate the numerical aspects of linear algebra and calculus as these subjects are being developed. Long experience has persuaded us that a third attack on this problem is the best and this is developed in the present two volumes, which are, however, easily adaptable to other circumstances. The approach we prefer is to treat the numerical aspects separately, but after some theoretical background. This is often desirable because of the shortage of persons qualified to present the combined approach and also because the numerical approach provides an often welcome change which, however, in addition, can lead to better appreciation of the fundamental concepts. For instance, in a 6-quarter course in Calculus and Linear Algebra, the material in Volume 1 can be handled in the third quarter and that in Volume 2 in the fifth or sixth quarter.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 256 pp. Englisch.

Codice articolo 9783034872317

Dati bibliografici

• Titolo: Basic Numerical Mathematics
• Editore: Birkhäuser Basel, Birkhäuser Basel Feb 2012
• Data di pubblicazione: 2012
• Lingua: Inglese
• ISBN 10: 3034872313
• ISBN 13: 9783034872317
• Rilegatura: Taschenbuch
• Condizione: Neu
• Dimensioni: 244 L x 170 A x 15 P (millimetri) 244 millimetri di larghezza per 170 millimetri di altezza per 15 millimetri di profondità
• Peso: 448 grammi

Descrizione articolo

Riassunto

There is no doubt nowadays that numerical mathematics is an essential component of any educational program. It is probably more efficient to present such material after a strong grasp of (at least) linear algebra and calculus has already been attained -but at this stage those not specializing in numerical mathematics are often interested in getting more deeply into their chosen field than in developing skills for later use. An alternative approach is to incorporate the numerical aspects of linear algebra and calculus as these subjects are being developed. Long experience has persuaded us that a third attack on this problem is the best and this is developed in the present two volumes, which are, however, easily adaptable to other circumstances. The approach we prefer is to treat the numerical aspects separately, but after some theoretical background. This is often desirable because of the shortage of persons qualified to present the combined approach and also because the numerical approach provides an often welcome change which, however, in addition, can lead to better appreciation of the fundamental concepts. For instance, in a 6-quarter course in Calculus and Linear Algebra, the material in Volume 1 can be handled in the third quarter and that in Volume 2 in the fifth or sixth quarter.

Contenuti

1. The algorithms of Gauss, Borchardt and Carlson..- Chpater 2. Orders of magnitude and rates of convergence.- 3. Recurrence relations for powers.- 4. The solution of equations.- 5. Uniform convergence and approximation.- 6. The acceleration processes of Aitken and Euler.- 7. Asymptotic series.- 8. Interpolation.- 9. Quadrature.- 10. Difference equations, differentiation and differential equations.- Appendix: Bessel functions.- Solutions to Selected Problems.- Bibliographical Remarks.- Table of Contents, Vol. 2 Numerical Algebra.