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Numerical Analysis

Numerical Analysis (Hardback)

By Scott, L. Ridgway

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Computational science is fundamentally changing how technological questions are addressed. The design of aircraft, automobiles, and even racing sailboats is now done by computational simulation. The mathematical foundation of this new approach is numerical analysis, which studies... algorithms for computing expressions defined with real numbers. Emphasizing the theory behind the computation, this book provides a rigorous and self-contained introduction to numerical analysis and presents the advanced mathematics that underpin industrial software, including complete details that are missing from most textbooks.Using an inquiry-based learning approach, Numerical Analysis is written in a narrative style, provides historical background, and includes many of the proofs and technical details in exercises. Students will be able to go beyond an elementary understanding of numerical simulation and develop deep insights into the foundations of the subject. They will no longer have to accept the mathematical gaps that exist in current textbooks. For example, both necessary and sufficient conditions for convergence of basic iterative methods are covered, and proofs are given in full generality, not just based on special cases.The book is accessible to undergraduate mathematics majors as well as computational scientists wanting to learn the foundations of the subject.Presents the mathematical foundations of numerical analysis Explains the mathematical details behind simulation software Introduces many advanced concepts in modern analysis Self-contained and mathematically rigorous Contains problems and solutions in each chapter Excellent follow-up course to Principles of Mathematical Analysis by Rudin
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ISBN 9780691146867
Released NZ 15 May 2011
Format Hardback
Alternate Format(s) View All (1 other possible title(s) available)
Language English (translated from: English)
4 In stock at publisher; ships 6-12 working days

Full details for this title

ISBN-13 9780691146867
Stock Available
Status In stock at publisher; ships 6-12 working days
Publisher unlisted
Imprint Princeton University Press
Released 15 May 2011
Publication Country United States United States
Format Hardback
Language English
Translated from English
Author(s) By Scott, L. Ridgway
Category Non-Fiction (Child / Teen)
Numerical Analysis
Applied Mathematics
Number of Pages 344
Dimensions Width: 152mm
Height: 235mm
Spine: 28mm
Dewey Code 518
Weight 595g
Interest Age 19+ years
Reading Age 19+ years
Library of Congress Numerical analysis
NBS Text Mathematics
ONIX Text College/higher education;Professional and scholarly