Basic Numerical Mathematics: Vol. 1: Numerical Analysis

Author:   J. Todd
Publisher:   Springer Basel
Edition:   Softcover reprint of the original 1st ed. 1979
Volume:   14
ISBN:  

9783034872317


Pages:   253
Publication Date:   12 February 2012
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Basic Numerical Mathematics: Vol. 1: Numerical Analysis


Overview

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.

Full Product Details

Author:   J. Todd
Publisher:   Springer Basel
Imprint:   Springer Basel
Edition:   Softcover reprint of the original 1st ed. 1979
Volume:   14
Dimensions:   Width: 17.00cm , Height: 1.30cm , Length: 24.40cm
Weight:   0.448kg
ISBN:  

9783034872317


ISBN 10:   3034872313
Pages:   253
Publication Date:   12 February 2012
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

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.

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