Theoretical Numerical Analysis: An Introduction to Advanced Techniques (Dover Books on Mathematics) [Paperback] Peter Linz

Book Details

• Author: Peter Linz

• Binding: Paperback

• Number of Pages: 240

• Release Date: 30-09-2019

• Languages: English

About the Book

This concise text serves as an introduction to numerical analysis, aimed at practical problem-solving. The book is divided into three parts, making it accessible for students and professionals alike.

Core Content

1. Part I: Fundamentals of Functional Analysis and Approximation Theory

   • Introduction to essential concepts in functional analysis and approximation theory.

2. Part II: Theoretical Numerical Analysis

   • A review of major results in numerical analysis, including:

     • Product integration

     • Approximate expansion methods

     • Minimization of functions

     • Related topics in theoretical analysis.

3. Part III: Practical Applications

   • Real-world examples demonstrating the power and usefulness of the theoretical concepts discussed in earlier sections.

Audience:

• Graduate Students: Ideal for a one-year graduate course in numerical analysis.

• Engineers and Scientists: Those with some practical experience in numerical computing, seeking an introduction to modern numerical analysis concepts.

Prerequisites:

• No advanced background is required, except for advanced calculus.

• Functional analysis ideas are introduced only as needed.

This book is perfect for those looking to deepen their understanding of numerical analysis, focusing on both theoretical and practical aspects.