Explorations in numerical analysis /
Lambers, James V.
Explorations in numerical analysis / James V. Lambers and Amber C. Summer - New Jersey World Scientific 2020 - 658p.
This textbook introduces advanced undergraduate and early-career graduate students to the field of numerical analysis. This field pertains to the design, research, 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 and linear algebra or differential equations. Topics covered include error analysis, computer arithmetic, solution of systems of linear equations, most minor squares problems, eigenvalue problems, polynomial interpolation and approximation, numerical differentiation and integration, nonlinear equations and ordinary differential equations. For each issue 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.
9780000988638
Numerical analysis
Python (Computer program language)
Numerical analysis--Computer programs
Numerical analysis--Data processing
MATLAB
518.0285 LAM-J
Explorations in numerical analysis / James V. Lambers and Amber C. Summer - New Jersey World Scientific 2020 - 658p.
This textbook introduces advanced undergraduate and early-career graduate students to the field of numerical analysis. This field pertains to the design, research, 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 and linear algebra or differential equations. Topics covered include error analysis, computer arithmetic, solution of systems of linear equations, most minor squares problems, eigenvalue problems, polynomial interpolation and approximation, numerical differentiation and integration, nonlinear equations and ordinary differential equations. For each issue 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.
9780000988638
Numerical analysis
Python (Computer program language)
Numerical analysis--Computer programs
Numerical analysis--Data processing
MATLAB
518.0285 LAM-J