The theory of splines and their applications

 
9780124109575: The theory of splines and their applications

The Theory of Splines and Their Applications discusses spline theory, the theory of cubic splines, polynomial splines of higher degree, generalized splines, doubly cubic splines, and two-dimensional generalized splines. The book explains the equations of the spline, procedures for applications of the spline, convergence properties, equal-interval splines, and special formulas for numerical differentiation or integration. The text explores the intrinsic properties of cubic splines including the Hilbert space interpretation, transformations defined by a mesh, and some connections with space technology concerning the payload of a rocket. The book also discusses the theory of polynomial splines of odd degree which can be approached through algebraically (which depends primarily on the examination in detail of the linear system of equations defining the spline). The theory can also be approached intrinsically (which exploits the consequences of basic integral relations existing between functions and approximating spline functions). The text also considers the second integral relation, raising the order of convergence, and the limits on the order of convergence. The book will prove useful for mathematicians, physicist, engineers, or academicians in the field of technology and applied mathematics.

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J. H. Ahlberg
Published by Academic Press (1967)
ISBN 10: 0124109578 ISBN 13: 9780124109575
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Book Description Academic Press, 1967. Paperback. Book Condition: Brand New. 296 pages. 9.00x6.00x0.67 inches. This item is printed on demand. Bookseller Inventory # zk0124109578

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Ahlberg, J. H.
Published by Academic Press (1967)
ISBN 10: 0124109578 ISBN 13: 9780124109575
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Book Description Academic Press, 1967. Paperback. Book Condition: New. book. Bookseller Inventory # 0124109578

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Ahlberg, J. H.
Published by Academic Press (1967)
ISBN 10: 0124109578 ISBN 13: 9780124109575
New Paperback Quantity Available: 1
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Irish Booksellers
(Rumford, ME, U.S.A.)
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Book Description Academic Press, 1967. Paperback. Book Condition: New. book. Bookseller Inventory # 124109578

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