Explorations in Numerical Analysis (Paperback)

James V. Lambers

ISBN 10: 9811229341 / ISBN 13: 9789811229343

Published by World Scientific Publishing Co Pte Ltd, Singapore, 2021

About this Item

Paperback. 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." This textbook is intended to introduce advanced undergraduate and early-career graduate students to the field of numerical analysis. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

Seller Inventory # 9789811229343

Bibliographic Details

• Title: Explorations in Numerical Analysis (Paperback)
• Publisher: World Scientific Publishing Co Pte Ltd, Singapore
• Publication Date: 2021
• Language: English
• ISBN 10: 9811229341
• ISBN 13: 9789811229343
• Binding: Paperback
• Condition: new

About this title

Synopsis

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.

About the Author

James V Lambers is a Professor in the School of Mathematics and Natural Sciences at The University of Southern Mississippi, and an ACUE Distinguished Teaching Scholar. His research interests span numerical methods for partial differential equations and numerical linear algebra. Amber C Sumner is an Assistant Professor of Mathematics at William Carey University. She was a PhD student of Lambers at USM. Her research interests include deep learning and numerical linear algebra. Vivian A Montiforte is a PhD student of Lambers at USM. Her research pertains to spectral methods and meshless methods for partial differential equations.