Text-Book of Algebra Through Quadratic Equations by Joseph Collins
Text-Book of Algebra Through 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; Also Exercises in Addition and Subtraction
8. Multiplication
9. Division
10. Factoring
11. Common Factors
12. Common Multiples
13. Fractions
14. Simple Equations with One Unknown
15. Simple Equations Containing Two or More Unknowns
16. Indeterminate and Redundant Equations, Negative Solutions, Generalization
17. Of Powers
18. Of Exact Roots
19. Of Fractional Exponents
20. Of Radicals
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. The Progressions
28. Interest, Annuities, and Bonds
What You Will Learn in Text-Book of Algebra Through Quadratic Equations
"Text-Book of Algebra. Through Quadratic Equations" by Joseph Collins is a classic algebra textbook first published in 1893. It provides a clear, step-by-step introduction to "algebra", starting with basic operations, fractions, and linear equations. Collins’ approach emphasizes understanding concepts rather than memorizing rules, making it accessible for high school and early college students.
The book gradually progresses to "quadratic equations", guiding learners through methods of solving them and applying these solutions to practical problems. Each chapter includes "worked examples" and exercises that strengthen problem-solving skills and reinforce the student’s grasp of key principles. The structured progression ensures that readers build a solid foundation in "algebraic thinking".
Collins’ textbook also highlights logical reasoning and careful computation, encouraging students to approach algebra systematically. Its combination of clarity, structured lessons, and practical exercises makes it valuable for both classroom teaching and self-study. By focusing on "equations", quadratic methods, and foundational algebraic concepts, the book helps learners develop confidence in mathematics and prepares them for more advanced studies.
Book Details & Specifications
Title:
Text-Book of Algebra Through 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 British mathematician and educator, best known for his textbooks, including "Text-Book of Algebra. Through Quadratic Equations" and "Advanced Algebra". He focused on improving "algebra education" for high school and early college students, emphasizing clarity and structured learning. Collins’ books guide learners through "quadratic equations", arithmetic, and algebraic operations with numerous "worked examples" and exercises. His approach develops strong "problem-solving" skills and solid "mathematical foundations", helping students understand concepts rather than memorize rules.
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