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Catalogue Information
Field name	Details
Dewey Class	500
Title	Basic Numerical Mathematics ([EBook] :) : Vol 2: Numerical Algebra / / by John Todd.
Author	Todd, John
Other name(s)	SpringerLink (Online service)
Publication	Basel : : Birkhäuser Basel, , 1977.
Physical Details	216 p. : online resource.
Series	ISNM International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale D’Analyse Numérique ; 22
ISBN	9783034872867
Summary Note	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 reasonable competence in (at least) linear algebra and calculus has already been attained - but at this stage those not specializ ing 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 cal culus 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 circum stances. 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 con cepts. 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.:
Contents note	1. Manipulation of Vectors and Matrices -- 2. Norms of Vectors and Matrices -- 3. Induced Norms -- 4. The Inversion Problem I: Theoretical Arithmetic -- 5. The Inversion Problem II: Practical Computation -- 6. The Characteristic Value Problem — Generalities -- 7. The Power Method, Deflation, Inverse Iteration -- 8. Characteristic Values -- 9. Iterative Methods for the Solution of Systems Ax=b -- 10. Application: Solution of a Boundary Value Problem -- 11. Application: Least Squares Curve Fitting -- 12. Singular Value Decomposition and Pseudo-Inverses -- Solutions to Selected Problems -- Bibliographical Remarks.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-3-0348-7286-7
Links to Related Works	Subject References: Science . Science, general . Authors: Todd, John . Corporate Authors: SpringerLink (Online service) . Series: ISNM International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale D’Analyse Numérique . Classification: 500 .

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Basic Numerical Mathematics: Vol 2: Numerical Algebra /

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