Algebra: Quadratic Equations by Joseph Collins
Algebra: Quadratic Equations - Table of Contents
- 1. Algebra as a Branch of Mathematics
- 2. On Opposite Numbers
- 3. Letters Used to Signify Numbers, Definitions and Explanations
- 4. Exercises in Notation
- 5. Addition
- 6. Subtraction
- 7. Symbols of Aggregation; Exercises in Addition & Subtraction
- 8. Multiplication
- 9. Division
- 10. Algebraic Factoring
- 11. Common Factors
- 12. Common Multiples
- 13. Algebraic Fractions
- 14. Simple Equations with One Unknown
- 15. Simple Equations Containing Two or More Unknowns
- 16. Indeterminate & Redundant Equations, Negative Solutions
- 17. Of Powers
- 18. Of Exact Roots
- 19. Fractional Exponents
- 20. Radicals and Radical Equations
- 21. Quadratic Equations Containing One Unknown Quantity
- 22. Simultaneous Quadratics
- 23. Quadratic Equations and Equations in General
- 24. Inequalities
- 25. Ratio and Proportion
- 26. Exponential Equations & Logarithms
- 27. Arithmetic and Geometric Progressions
- 28. Interest, Annuities, and Bonds
What You Will Learn in Algebra: Quadratic Equations
Text-Book of Algebra. Through Quadratic Equations by Joseph V. Collins is an authoritative, classical textbook designed for high school students, introductory college courses, and self-learners in pure mathematics. Serving as an essential open study guide, this volume provides a structured framework for algebraic quadratic equations and polynomial problem solving practice.
The textbook systematically covers factoring second-degree polynomials, completing the square, the quadratic formula, radical expressions, imaginary numbers, simultaneous quadratic equations, and real-world word problems. By pairing fundamental theoretical concepts with extensive step-by-step worked examples, Collins enables readers to execute complex algebraic factorizations and quadratic solution methods with confidence.
Treasured globally by mathematics educators and competitive exam candidates for its practical clarity and rigorous problem sets, this timeless monograph serves as an outstanding self-study guide. Collins’s structured pedagogical approach equips learners with vital mathematical reasoning required for mastering modern elementary and intermediate algebra principles.
Book Details & Specifications
Title:
Algebra: Quadratic Equations by Joseph Collins
Publisher:
Albert, Scott & co.
Year:
1893
Pages:
474
Type:
PDF
Language:
English
ISBN-10 #:
1295640104
ISBN-13 #:
978-1295640102
License:
Public Domain Work
Amazon:
Amazon
About the Author: Joseph Victor Collins
The author Joseph Victor Collins
(1858–1943) was a distinguished American mathematics professor and textbook author, widely recognized for his pedagogical contributions to high school and college algebra instruction.
His classic educational works stand as foundational quadratic equations, elementary algebra, and classical polynomial study guides.
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