First Course in Theory of Equations by Leonard Dickson
First Course in Theory of Equations - Table of Contents
1. Complex Numbers
2. Theorems on Roots of Equations
3. Constructions with Ruler and Compasses
4. Cubic and Quartic Equations
5. The Graph of an Equation
6. Isolation of Real Roots
7. Solution of Numerical Equations
8. Determinants; Systems of Linear Equations
9. Symmetric Functions
10. Elimination, Resultants and Discriminants
A: Fundamental Theorem of Algebra
What You Will Learn in First Course in Theory of Equations
"First Course in the Theory of Equations" by "Leonard Dickson" is a classical mathematics textbook that introduces students to the fundamental concepts of "algebraic equations". The book is designed as a beginner-friendly yet rigorous guide, providing a structured approach to understanding the roots, factors, and properties of polynomial equations.
Dickson covers essential topics such as "quadratic, cubic, and quartic equations", the "relations between roots and coefficients", methods for solving equations, and applications in "geometry and algebraic problem solving". The text emphasizes logical reasoning and step-by-step methods, making it suitable for self-study as well as classroom instruction.
Widely regarded as a foundational work in algebra, the book balances theory with practical examples and exercises. It introduces students to both the computational techniques and the theoretical principles behind equation solving, laying the groundwork for further study in higher algebra, number theory, and mathematical analysis.
Book Details & Specifications
Title:
First Course in Theory of Equations by Leonard Dickson
Publisher:
John Wiley & Sons, Inc
Year:
1922
Pages:
207
Type:
PDF
Language:
English
ISBN-10 #:
1172078408
ISBN-13 #:
978-1172078400
License:
Public Domain Work
Amazon:
Amazon
About the Author: Leonard Eugene Dickson
The author Leonard Eugene Dickson
(1874–1954) was a renowned American mathematician specializing in "algebra", "number theory", and the "theory of equations". He made pioneering contributions to the study of "polynomials" and "finite fields", combining computational methods with theoretical insights. Dickson authored influential works, including "First Course in the Theory of Equations", helping students understand "roots of equations" and polynomial structures. His clear explanations and rigorous approach laid the foundation for modern algebra, inspiring generations of mathematicians and advancing research in both "abstract algebra" and applied mathematics.
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