Numerical Analysis PDF
Preview Numerical Analysis
NUNC COGNOSCO EX PARTE TRENT UNIVERSITY LIBRARY Digitized by the Internet Archive in 2019 with funding from Kahle/Austin Foundation https://archive.org/details/numericalanalysiOOOOhart NUMERICAL ANALYSIS BY D. R. HARTREE, F.R.S. Plummer Professor of Mathematical Physics University of Cambridge SECOND EDITION OXFORD AT THE CLARENDON PRESS Oxford University Press, Amen House, London E.C.4 GLASGOW NEW YORK TORONTO MELBOURNE WELLINGTON BOMBAY CALCUTTA MADRAS KARACHI KUALA LUMPUR CAPE TOWN IBADAN NAIROBI ACCRA © Oxford University Press ig§8 FIRST EDITION 1952 REPRINTED LITHOGRAPHICALLY IN GREAT BRITAIN FROM SHEETS OF THE FIRST EDITION 1954 SECOND EDITION 1958 REPRINTED LITHOGRAPHICALLY 1961 ONULP PREFACE TO THE SECOND EDITION In revising the text of this book for a second edition, it has been my intention to preserve its character as an introduction to numerical analysis for those who want to know about numerical methods for the purpose of applying them in practice, when actual numbers take the place of the literal symbols of an algebraic formula. The main change from the first edition is in Chapter VII on the numerical integration of differential equations, which has been largely rearranged and somewhat extended, particularly in the treatment of equations with two-point boundary conditions. I have also included a section on Whittaker’s ‘cardinal function’ in the theory of interpola¬ tion, and an account of a method, due to Wilkes, of handling the Choleski method of matrix factorization which, in my view, converts this from a method for specialists (as it seemed to me when the first edition was written) to a practicable method for the occasional user. The treatment of quadrature formulae of the Gauss type has been extended, and a number of other sections have been added or revised. When the first edition was written, little had been published on pro¬ gramming for automatic digital computers, and it seemed advisable to include an introduction to this subject with some simple examples; these required the use of a particular programming system, which had to be explained. Since then, much more has been published on the sub¬ ject (see references on p. 284), and I have consequently excised those sections concerned with details of programming. I wish to thank various correspondents, particularly Mr. R. E. Beard, Mr. D. R. Bland, Mr. G. A. Erskine, and Mr. M. Fine, who have written to draw my attention to points in the first edition requiring correction or modification. It is a pleasure to renew my thanks to the staff of the Clarendon Press for their co-operation. D. R. H. Cavendish Laboratory Cambridge October 1957 004780
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