Essentials of Algebra by John Stone, James Millis
Essentials of Algebra - Table of Contents
- 1. Introduction to Algebra
- 2. Fundamental Laws of Numbers
- 3. Negative Numbers and Directed Quantities
- 4. Addition and Subtraction of Literal Expressions
- 5. Multiplication of Literal Expressions
- 6. Division of Literal Expressions
- 7. Powers and Roots Operations
- 8. Special Products and Quotients
- 9. Factors and Factoring Methods
- 10. Common Factors and Multiples
- 11. Algebraic Fractions Operations
- 12. Linear Equations — One Unknown
- 13. Linear Equations — Systems
- 14. Surds and Imaginary Numbers
- 15. Quadratic Equations — One Unknown
- 16. Higher Equations & Equations Involving Surds
- 17. Systems Involving Quadratic and Higher Equations
- 18. Algebraic Inequalities
- 19. Ratio and Proportion Principles
- 20. Variation — Algebraic Expression of Law
- 21. Fractional and Negative Exponents
- 22. Permutations and Combinations
- 23. The Binomial Theorem Expansion
- 24. Arithmetic and Geometric Progressions
- 25. Method of Undetermined Coefficients
- 26. Logarithms and Computation
What You Will Learn in Essentials of Algebra
Essentials of Algebra by John C. Stone and James F. Millis is a classic beginner’s guide that makes learning fundamental algebraic operations, linear equations, and functional reasoning simple and approachable. This famous textbook breaks down complex topics like algebraic notation, positive and negative numbers, linear equations in one variable, special product expansion, factoring techniques, algebraic fractions, simultaneous linear equations, powers, radicals, and quadratic equation solving into easy-to-understand explanations. Ideal for students and self-learners, it removes the academic confusion often associated with higher mathematics.
Perfect for high school and introductory algebra students, this foundational text helps readers build an intuitive understanding of mathematical concepts. Stone and Millis use clear, informal language and practical examples to make the subject less intimidating and more accessible. Whether you are completely new to the field or just need a quick refresher, the book provides step-by-step guidance through every chapter.
Known for its straightforward style and focus on core principles, it remains one of the best classical elementary algebra books for students worldwide. It intentionally emphasizes intuition and clarity over abstract math theory, making it an invaluable and timeless resource for mastering introductory algebra with confidence.
Book Details & Specifications
Title:
Essentials of Algebra by John Stone, James Millis
Publisher:
Benj. H. Sanborn & Co.
Year:
1905
Pages:
552
Type:
PDF
Language:
English
ISBN-10 #:
1146283350
ISBN-13 #:
978-1146283359
License:
Public Domain Work
Amazon:
Amazon
About the Author: John Charles Stone
The author John Charles Stone
was Head of the Department of Mathematics at the State Normal School in Montclair, New Jersey, and James F. Millis was Head of the Department of Mathematics at the Francis W. Parker School in Chicago. Both were highly influential American mathematics educators known for pioneering practical, student-centered secondary school curricula.
Through Essentials of Algebra, Stone and Millis deliver a masterfully structured, clear presentation of fundamental algebraic mechanics and problem-solving strategies. Their logical progression, well-graded exercise sets, and emphasis on intuitive clarity make this volume a classic reference for introductory algebra valued by educators and students worldwide.
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