
Basic Numerical Mathematics
Vol. 1: Numerical Analysis
J. Todd(Author)
Birkhäuser (Publisher)
Published on 12. February 2012
Book
Paperback/Softback
253 pages
978-3-0348-7231-7 (ISBN)
Description
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.
More details
Series
Edition
Softcover reprint of the original 1st ed. 1979
Language
English
Place of publication
Basel
Switzerland
Publishing group
Springer Basel
Target group
Professional and scholarly
Research
Illustrations
253 p.
Dimensions
Height: 244 mm
Width: 170 mm
Thickness: 15 mm
Weight
448 gr
ISBN-13
978-3-0348-7231-7 (9783034872317)
DOI
10.1007/978-3-0348-7229-4
Schweitzer Classification
Other editions
Additional editions

Book
01/1979
1st Edition
Birkhäuser
€85.55
No shipping information available
Content
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.