Principles and Procedures of Numerical Analysis (Mathematical concepts and methods in science and engineering; v. 14) (Mathematical Concepts and Methods in Science and Engineering, 14) - Softcover

Szidarovszky, Ferenc

 
9780306400872: Principles and Procedures of Numerical Analysis (Mathematical concepts and methods in science and engineering; v. 14) (Mathematical Concepts and Methods in Science and Engineering, 14)
Softcover
ISBN 10: 0306400871 ISBN 13: 9780306400872
Verlag: Plenum Pub Corp, 1978

Inhaltsangabe

It is an incontestable fact that numerical analysis techniques are used rou­ tinely (although not always effectively) in virtually every quantitative field of scientific endeavor. In this book, which is directed toward upper-division and graduate level students in engineering and mathematics, we have selected for discussion subjects that are traditionally found in numerical analysis texts. But our choice of methodology rejects the traditional where analysis and experience clearly warrant such a departure, and one of our primary aspirations in this work is to equip the reader with the wherewithal to apply numerical analysis thinking to nontraditional subjects. For there is a plethora of computer-oriented sciences such as optimization, statistics, and system analysis and identification that are sorely in need of methods comparable to those related here for classical numerical analysis problems. Toward uncovering for the reader the structure of numerical methods we have, for example, devoted a chapter to a metric space theory for iter­ ative application of operators. In this chapter, we have collected those definitions and concepts of real and functional analysis that are requisite to a modern intermediate-level exposition of the principles of numerical anal­ ysis. Further, we derive the abstract theory (most notably, the contraction mapping theorem) for iteration processes.

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Reseña del editor

It is an incontestable fact that numerical analysis techniques are used rou­ tinely (although not always effectively) in virtually every quantitative field of scientific endeavor. In this book, which is directed toward upper-division and graduate level students in engineering and mathematics, we have selected for discussion subjects that are traditionally found in numerical analysis texts. But our choice of methodology rejects the traditional where analysis and experience clearly warrant such a departure, and one of our primary aspirations in this work is to equip the reader with the wherewithal to apply numerical analysis thinking to nontraditional subjects. For there is a plethora of computer-oriented sciences such as optimization, statistics, and system analysis and identification that are sorely in need of methods comparable to those related here for classical numerical analysis problems. Toward uncovering for the reader the structure of numerical methods we have, for example, devoted a chapter to a metric space theory for iter­ ative application of operators. In this chapter, we have collected those definitions and concepts of real and functional analysis that are requisite to a modern intermediate-level exposition of the principles of numerical anal­ ysis. Further, we derive the abstract theory (most notably, the contraction mapping theorem) for iteration processes.

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Verlag
Plenum Pub Corp
Erscheinungsdatum
1978
Sprache
Englisch
ISBN 10 
0306400871
ISBN 13 
9780306400872
Einband
Tapa blanda
Anzahl der Seiten
344
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
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