The Art of Polynomial Interpolation by Stuart Murphy
The Art of Polynomial Interpolation - Table of Contents
1. Elimination (Substitution) Interpolation
2. Newton's Divided Difference Interpolation
3. Quadratic Spline Interpolation
4. Least Squares Regression
5. Measuring the Least Squares Fit/Exponential Least Squares Regression
6. Approximation with Taylor Series
7. Taylor Series Remainder Test
8. Solutions to Selected Practice Exercises
What You Will Learn in The Art of Polynomial Interpolation
"The Art of Polynomial Interpolation" by Stuart Murphy is a practical and insightful textbook that introduces students to the world of "polynomial interpolation". It focuses on constructing polynomials that pass through given data points, helping learners understand both the "theory" and "applications" of interpolation. The book emphasizes why and when different methods should be used, making complex concepts accessible to beginners and advanced students alike.
The text covers a variety of techniques, including "Newton’s divided difference", Taylor series approximations, spline interpolation, and least squares regression. Each method is explained step by step, with clear examples that illustrate how to apply them to real-world problems. Exercises throughout the chapters reinforce understanding and encourage hands-on practice, helping readers develop confidence in solving interpolation problems and understanding trends in data.
Murphy’s book is ideal for students in numerical analysis, applied mathematics, or introductory data approximation courses. By combining conceptual explanations with practical exercises, it provides a solid foundation for further study in "numerical methods" and "data fitting". "The Art of Polynomial Interpolation" equips readers with the tools and intuition to apply interpolation techniques effectively in mathematics, science, and engineering.
Book Details & Specifications
Title:
The Art of Polynomial Interpolation by Stuart Murphy
Publisher:
Pennsylvania State University
Year:
2022
Pages:
90
Type:
PDF
Language:
English
ISBN-10 #:
3659781754
ISBN-13 #:
978-3659781759
License:
CC BY-NC 4.0
Amazon:
Amazon
About the Author: Stuart Murphy
The author Stuart Murphy
is a mathematician and educator with experience teaching at multiple levels and a background in industry. He combines practical knowledge with clear instruction, focusing on making complex mathematical concepts approachable and relevant. His book "The Art of Polynomial Interpolation" introduces students to "Polynomial Interpolation" using clear explanations and step-by-step methods. Incorporating "Numerical Methods", basic matrix algebra, and hands-on exercises, it emphasizes "Applied Learning" and real-world data applications.
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