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Explorations in numerical analysis /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Explorations in numerical analysis /James V. Lambers, Amber C. Sumner.
作者:	Lambers, James V.,
其他作者:	Sumner, Amber C.,
面頁冊數:	xv, 658 pages ;25 cm
標題:	Numerical analysis
ISBN:	9789813209961

Explorations in numerical analysis /
Lambers, James V.,

Explorations in numerical analysis /James V. Lambers, Amber C. Sumner. - xv, 658 pages ;25 cm

Includes bibliographical references and index.

What is numerical analysis? -- Understanding error -- Direct methods for linear systems -- Least squares problems -- Iterative methods for linear systems -- Eigenvalue problems -- Polynomial interpolation -- Approximation of functions -- Dierentiation and integration -- Zeros of nonlinear functions -- Optimization -- Initial value problems -- Two-point boundary value problems -- Partial dierential equations.

"This textbook introduces 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 error analysis, computer arithmetic, solution of systems of linear equations, least squares problems, eigenvalue problems, polynomial interpolation and approximation, numerical differentiation and integration, nonlinear equations and ordinary 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 MATLAB 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"--

ISBN: 9789813209961

LCCN: 2018011145Subjects--Topical Terms:

254066
Numerical analysis
Index Terms--Genre/Form:

708244
Textbooks.

LC Class. No.: QA297 / .L335 2019

Dewey Class. No.: 518.0285/536

Explorations in numerical analysis /
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020 $a 9813209968 $q (hardcover $q alkaline paper)
020 $a 9789813209978 $q (paperback $q alkaline paper)
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100 1 $a Lambers, James V., $e author. $3 916220
245 1 0 $a Explorations in numerical analysis / $c James V. Lambers, Amber C. Sumner.
264 1 $a Singapore ; $a Hackensack, NJ : $b World Scientific Publishing Co. Pte. Ltd., $c [2019]
300 $a xv, 658 pages ; $c 25 cm
336 $a text $b txt $2 rdacontent
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504 $a Includes bibliographical references and index.
505 0 $a What is numerical analysis? -- Understanding error -- Direct methods for linear systems -- Least squares problems -- Iterative methods for linear systems -- Eigenvalue problems -- Polynomial interpolation -- Approximation of functions -- Dierentiation and integration -- Zeros of nonlinear functions -- Optimization -- Initial value problems -- Two-point boundary value problems -- Partial dierential equations.
520 $a "This textbook introduces 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 error analysis, computer arithmetic, solution of systems of linear equations, least squares problems, eigenvalue problems, polynomial interpolation and approximation, numerical differentiation and integration, nonlinear equations and ordinary 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 MATLAB 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"-- $c Provided by publisher.
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650 7 $a Numerical analysis. $3 182073
655 7 $a Textbooks. $2 fast $3 708244
700 1 $a Sumner, Amber C., $e author. $3 916221
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