Researches Respecting the Imaginary Roots of Numerical Equations: Being a Continuation of Newton's Investigations on That Subject, and Forming an ... of the Higher Orders (Classic Reprint) - Hardcover
Synopsis
Discover how to detect and analyze imaginary roots in high-degree equations with clear, algebra‑driven methods.
This volume continues Newton’s investigations, presenting practical criteria and transformations that reveal when a numerical equation has complex roots. It emphasizes accessible, step‑by‑step tests you can apply to standard polynomial forms.
Through streamlined rules and worked examples, you’ll learn how to determine the character of doubtful root intervals and how to use reciprocal relationships to test for imaginary roots. The text also contrasts different approaches, including Fourier’s criterion, and explains when each method is most effective in actual problem solving.
- How to apply criteria for imaginary roots to a given polynomial.
- How to use transformations and limiting equations to reveal root nature.
- Practical examples and step‑by‑step analyses that illustrate the methods.
- A comparison of approaches, including Fourier’s criterion and Newtonian ideas.
Ideal for readers of historical and practical treatments of equations, as well as students seeking a solid, algebraic approach to root analysis.
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Researches Respecting the Imaginary Roots of Numerical Equations: Being a Continuation of Newton''s Investigations on That Subject, and Forming an Appendix to the Theory and Solution of Equations of the Higher Orders (Classic Reprint)
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HRD. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LX-9780267684182
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Researches Respecting the Imaginary Roots of Numerical Equations: Being a Continuation of Newton''s Investigations on That Subject, and Forming an Appendix to the Theory and Solution of Equations of the Higher Orders (Classic Reprint)
Seller: PBShop.store UK, Fairford, GLOS, United Kingdom
Seller rating 5 out of 5 stars
HRD. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LX-9780267684182
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