The Art of Polynomial Interpolation

The inspiration for this text grew out of a simple question that emerged over a number of years of teaching math to Middle School, High School and College students. Practically speaking, what is the origin of a particular polynomial? So much time is spent analyzing, factoring, simplifying and graphi...

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Bibliographic Details
Main Author: Murphy, Stuart (Author)
Format: Electronic eBook
Language:English
Published: [Place of publication not identified] Pennsylvania State University
Series:Open textbook library.
Subjects:
Online Access:Access online version
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Table of Contents:
  • Introduction
  • Techniques
  • Chapter One - Elimination (Substitution) Interpolation
  • Chapter One - Practice Exercises
  • Chapter Two - Newton's Divided Difference Interpolation
  • Chapter Two- Practice Exercises
  • Chapter Three- Quadratic Spline Interpolation
  • Chapter Three- Practice Exercises
  • Chapter Four - Least Squares Regression
  • Chapter Four- Practice Exercises
  • Chapter Five- Measuring the Least Squares Fit/Exponential Least Squares Regression
  • Chapter Five- Practice Exercises
  • Chapter Six - Approximation with Taylor Series
  • Chapter Six- Practice Exercises
  • Chapter Seven - Taylor Series Remainder Test
  • Chapter Seven- Practice Exercises
  • Solutions to Selected Practice Exercises
  • Acknowledgments
  • About the Author
  • Versioning History