Applications of Number Theory to Numerical Analysis

0 avg rating
( 0 ratings by Goodreads )
 
9780387103822: Applications of Number Theory to Numerical Analysis
View all copies of this ISBN edition:
 
 

Owing to the developments and applications of computer science, ma­ thematicians began to take a serious interest in the applications of number theory to numerical analysis about twenty years ago. The progress achieved has been both important practically as well as satisfactory from the theoretical view point. It'or example, from the seventeenth century till now, a great deal of effort was made in developing methods for approximating single integrals and there were only a few works on multiple quadrature until the 1950's. But in the past twenty years, a number of new methods have been devised of which the number theoretic method is an effective one. The number theoretic method may be described as follows. We use num­ ber theory to construct a sequence of uniformly distributed sets in the s­ dimensional unit cube G , where s ~ 2. Then we use the sequence to s reduce a difficult analytic problem to an arithmetic problem which may be calculated by computer. For example, we may use the arithmetic mean of the values of integrand in a given uniformly distributed set of G to ap­ s proximate the definite integral over G such that the principal order of the s error term is shown to be of the best possible kind, if the integrand satis­ fies certain conditions.

"synopsis" may belong to another edition of this title.

Buy Used
Condition: Good
Former Library book. Shows some... Learn more about this copy

Shipping: FREE
Within U.S.A.

Destination, rates & speeds

Add to Basket

Other Popular Editions of the Same Title

9783642678318: Applications of Number Theory to Numerical Analysis

Featured Edition

ISBN 10: 3642678319 ISBN 13: 9783642678318
Publisher: Springer Berlin Heidelberg, 2011
Softcover

9783540103820: Applications of Number Theory to Numerical Analysis

Springer, 1981
Hardcover

Top Search Results from the AbeBooks Marketplace

Stock Image

1.

Hua, Luogeng, Wang, Y.
Published by Springer-Verlag (1981)
ISBN 10: 0387103821 ISBN 13: 9780387103822
Used Quantity Available: 1
Seller:
Better World Books
(Mishawaka, IN, U.S.A.)

Book Description Springer-Verlag, 1981. Condition: Good. Former Library book. Shows some signs of wear, and may have some markings on the inside. Seller Inventory # GRP12884160

More information about this seller | Contact this seller

Buy Used
US$ 29.28
Convert currency

Add to Basket

Shipping: FREE
Within U.S.A.
Destination, rates & speeds
Stock Image

2.

Hua, Luogeng, Wang, Y.
Published by Springer-Verlag (1981)
ISBN 10: 0387103821 ISBN 13: 9780387103822
Used Quantity Available: 1
Seller:
Better World Books
(Mishawaka, IN, U.S.A.)

Book Description Springer-Verlag, 1981. Condition: Very Good. Former Library book. Great condition for a used book! Minimal wear. Seller Inventory # GRP114607810

More information about this seller | Contact this seller

Buy Used
US$ 29.28
Convert currency

Add to Basket

Shipping: FREE
Within U.S.A.
Destination, rates & speeds
Stock Image

3.

Luogeng Hua; Y. Wang
Published by Springer (1981)
ISBN 10: 0387103821 ISBN 13: 9780387103822
Used Hardcover Quantity Available: 1
Seller:
Ergodebooks
(RICHMOND, TX, U.S.A.)

Book Description Springer, 1981. Hardcover. Condition: Good. Seller Inventory # SONG0387103821

More information about this seller | Contact this seller

Buy Used
US$ 34.20
Convert currency

Add to Basket

Shipping: US$ 3.99
Within U.S.A.
Destination, rates & speeds