Explorations in Numerical Analysis : Python Edition / James V Lambers, ; Amber C Sumner ; Vivian Ashley Montiforte.

By:

Lambers, James V

Contributor(s):

Material type: Text

TextLanguage: English Publication details: Chennai: World Scientific, 2021.Edition: 1st edDescription: xv, 673 p. : ill. ; 24 cmISBN:

9780000990440
0000990442

Subject(s):

DDC classification:

23 518.0285536 LAM

Contents:

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

Summary: 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"-- Provided by publisher

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Item type	Current library	Collection	Call number	Status	Date due	Barcode
General Books	CUTN Central Library Sciences	Non-fiction	518.0285536 LAM (Browse shelf(Opens below))	Available		47785

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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"-- Provided by publisher

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