Read ebook Panos M. Pardalos - Chapman and Hall/CRC Numerical Analysis and Scientific Computing: Numerical Methods and Optimization : An Introduction EPUB, FB2, PDF
9781466577770 1466577770 Based on the authors' experience teaching introductory numerical methods and optimization courses, this book covers numerical methods for Industrial and Systems Engineering and Operations Research. It combines the materials from introductory numerical methods and introductory optimization courses into a single text, which, on the one hand, enriches a "standard" numerical methods syllabus with optional chapters on numerical optimization, and, on the other hand, provides a valuable numerical methods background for students taking an introductory optimization course., For students in industrial and systems engineering (ISE) and operations research (OR) to understand optimization at an advanced level, they must first grasp the analysis of algorithms, computational complexity, and other concepts and modern developments in numerical methods. Satisfying this prerequisite, Numerical Methods and Optimization: An Introductioncombines the materials from introductory numerical methods and introductory optimization courses into a single text. This classroom-tested approach enriches a standard numerical methods syllabus with optional chapters on numerical optimization and provides a valuable numerical methods background for students taking an introductory OR or optimization course. The first part of the text introduces the necessary mathematical background, the digital representation of numbers, and different types of errors associated with numerical methods. The second part explains how to solve typical problems using numerical methods. Focusing on optimization methods, the final part presents basic theory and algorithms for linear and nonlinear optimization. The book assumes minimal prior knowledge of the topics. Taking a rigorous yet accessible approach to the material, it includes some mathematical proofs as samples of rigorous analysis but in most cases, uses only examples to illustrate the concepts. While the authors provide a MATLAB®guide and code available for download, the book can be used with other software packages.
9781466577770 1466577770 Based on the authors' experience teaching introductory numerical methods and optimization courses, this book covers numerical methods for Industrial and Systems Engineering and Operations Research. It combines the materials from introductory numerical methods and introductory optimization courses into a single text, which, on the one hand, enriches a "standard" numerical methods syllabus with optional chapters on numerical optimization, and, on the other hand, provides a valuable numerical methods background for students taking an introductory optimization course., For students in industrial and systems engineering (ISE) and operations research (OR) to understand optimization at an advanced level, they must first grasp the analysis of algorithms, computational complexity, and other concepts and modern developments in numerical methods. Satisfying this prerequisite, Numerical Methods and Optimization: An Introductioncombines the materials from introductory numerical methods and introductory optimization courses into a single text. This classroom-tested approach enriches a standard numerical methods syllabus with optional chapters on numerical optimization and provides a valuable numerical methods background for students taking an introductory OR or optimization course. The first part of the text introduces the necessary mathematical background, the digital representation of numbers, and different types of errors associated with numerical methods. The second part explains how to solve typical problems using numerical methods. Focusing on optimization methods, the final part presents basic theory and algorithms for linear and nonlinear optimization. The book assumes minimal prior knowledge of the topics. Taking a rigorous yet accessible approach to the material, it includes some mathematical proofs as samples of rigorous analysis but in most cases, uses only examples to illustrate the concepts. While the authors provide a MATLAB®guide and code available for download, the book can be used with other software packages.