First Semester in Numerical Analysis with Julia - 2.1 - Open Textbook Library

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The following reviews were for a previous edition.

Reviewed by Namyong Lee, Professor, Minnesota State University Mankato on 3/4/24

The textbook seemed more focused on brief one-semester material. It has the most essential topics in the first course in Numerical Methods for college students. Some other textbooks have a topic in numerical linear algebra which is missing in this... read more

Reviewed by Yaning Liu, Assistant Professor, University of Colorado Denver on 5/5/20

This book covers the topics of computer arithmetic, iterative methods for nonlinear equations, interpolation methods, numerical quadrature and differentiation, and least squares problems, which are typically discussed in a first course of... read more

Reviewed by Sangphil Kim, Assistant Professor, Minnesota State University System on 2/18/20

This book doesn't cover several topics in numerical analysis such as differential equations and eigenvalue if we compare it with conventional textbooks. However, this textbook covers enough topics in numerical analysis for undergraduate students.... read more

Table of Contents

  • 1 Introduction
  • 2 Solutions of equations: Root-finding
  • 3 Interpolation
  • 4 Numerical Quadrature and Differentiation
  • 5 Approximation Theory

About the Book

First Semester in Numerical Analysis with Julia presents the theory and methods, together with the implementation of the algorithms using the Julia programming language (version 1.1.0). The book covers computer arithmetic, root-finding, numerical quadrature and differentiation, and approximation theory. The reader is expected to have studied calculus and linear algebra. Some familiarity with a programming language is beneficial, but not required. The programming language Julia will be introduced in the book. The simplicity of Julia allows bypassing the pseudocode and writing a computer code directly after the description of a method while minimizing the distraction the presentation of a computer code might cause to the flow of the main narrative.

Author

Giray Ökten

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