Explorations in numerical analysis (Record no. 72761)

000 -LEADER
fixed length control field 03340nam a2200409 i 4500
001 - CONTROL NUMBER
control field 00012031
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 210204s2021 si ob 001 0 eng
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
ISBN 9789811227943
-- (ebook)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
-- (hbk.)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
-- (pbk.)
082 04 - CLASSIFICATION NUMBER
Call Number 518.0285/5133
100 1# - AUTHOR NAME
Author Lambers, James V.
245 10 - TITLE STATEMENT
Title Explorations in numerical analysis
Sub Title Python edition /
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication Singapore :
Publisher World Scientific,
Year of publication 2021.
300 ## - PHYSICAL DESCRIPTION
Number of Pages 1 online resource (xv, 674 p.)
505 0# - FORMATTED CONTENTS NOTE
Remark 2 Preface -- Preliminaries. What is numerical analysis?. Understanding error -- Numerical linear algebra. Direct methods for linear systems. Least squares problems. Iterative methods for linear systems. Eigenvalue problems -- Data fitting and function approximation. Polynomial interpolation. Approximation of functions. Differentiation and integration -- Nonlinear equations and optimization. Zeros of nonlinear functions. Optimization -- Differential equations. Initial value problems. Two-point boundary value problems. Partial differential equations -- Appendices. Review of calculus. Review of linear algebra -- Bibliography -- Index.
520 ## - SUMMARY, ETC.
Summary, etc "This textbook is intended to introduce advanced undergraduate and early-career graduate students to the field of numerical analysis. This field pertains to the design, analysis, and implementation of algorithms for the approximate solution of mathematical problems that arise in applications spanning science and engineering, and are not practical to solve using analytical techniques such as those taught in courses in calculus, linear algebra or differential equations. Topics covered include computer arithmetic, error analysis, solution of systems of linear equations, least squares problems, eigenvalue problems, nonlinear equations, optimization, polynomial interpolation and approximation, numerical differentiation and integration, ordinary differential equations, and partial differential equations. For each problem considered, the presentation includes the derivation of solution techniques, analysis of their efficiency, accuracy and robustness, and details of their implementation, illustrated through the Python programming language. This text is suitable for a year-long sequence in numerical analysis, and can also be used for a one-semester course in numerical linear algebra"--Publisher's website.
700 1# - AUTHOR 2
Author 2 Mooney, Amber Sumner.
700 1# - AUTHOR 2
Author 2 Montiforte, Vivian A.
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier https://www.worldscientific.com/worldscibooks/10.1142/12031#t=toc
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type eBooks
650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1
-- Numerical analysis.
650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1
-- Numerical analysis
650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1
-- Python (Computer program language)

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