A Direct and General Method of Finding the Approximate Values of the Real Roots

J. W. Nicholson

ISBN 10: 1332763561 / ISBN 13: 9781332763566

Published by Forgotten Books, 2016

About this Item

Print on Demand. This book presents a revolutionary method for finding the approximate values of the real roots of numerical equations with any desired degree of accuracy. The method, developed by the author, is a generalization of Newton's method and is applicable to equations of any degree. It provides a direct and absolute solution to a problem that has long eluded mathematicians. The book provides detailed explanations of the method, along with numerous examples to illustrate its application. It also discusses the historical context of the problem and the significance of the author's solution. Overall, this book is a valuable resource for anyone interested in numerical analysis, and its insights will be of great significance to mathematicians, scientists, and engineers. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book.

Seller Inventory # 9781332763566_0

Bibliographic Details

• Title: A Direct and General Method of Finding the Approximate Values of the Real Roots
• Publisher: Forgotten Books
• Publication Date: 2016
• Language: English
• ISBN 10: 1332763561
• ISBN 13: 9781332763566
• Binding: Paperback
• Condition: New
• Book Type: print-on-demand item
• Seller catalogs:
  • Calculus

About this title

Synopsis

Discover a practical way to approximate the real roots of numerical equations with this focused method.

This lightweight guide introduces a general, trial‑free approach that uses successive substitutions to home in on roots, even when imaginary roots are involved. It emphasizes clear steps and simple formulas to find real roots to any degree of accuracy.

The material shows how this method applies to equations of varying degree, including cubic and quadratic cases, and explains how to handle multiple or imaginary roots. It avoids heavy theory in favor of actionable procedures you can apply directly to problems you encounter in work or study.

• Learn how to set up the problem so substitutions converge toward a root.
• Use the provided formulas to approximate real roots quickly, with practical accuracy guidance.
• See how the method extends to equations with imaginary roots and higher degrees.
• Work through examples that illustrate selecting starting values and interpreting results.

Ideal for readers who want a straightforward, reliable technique for numerical root finding in math, engineering, and science.