Practical Elementary Algebra by Joseph Victor Collins
Practical Elementary Algebra - Table of Contents
1. The Algebraic Notation
2. Theorems, Factoring, Lowest Common Multiple
3. Fractions
4. Simple Equations with One Unknown Quantity
5. Simultaneous Equations — Two Unknown Quantities
6. Graphs and Graphical Solution of Simple Equations
7. Miscellaneous Topics
8. Involution and Evolution
9. Applications of Algebra
10. Fractional Exponent Quantities and Radicals
11. Quadratic Equations
12. Quadratic Equations (Continued)
13. Ratio and Proportion
14. Arithmetical and Geometrical Progressions
15. The Binomial Theorem
16. Logarithms
17. Fundamental Principles of Algebra
18. Applications of Algebra in Science and Other Mathematics
What You Will Learn in Practical Elementary Algebra
"Practical Elementary Algebra, First Year Course" by "Joseph V. Collins" is a classic textbook designed to make algebra easy and practical for beginners. The book introduces fundamental concepts in a clear and structured way, helping students understand the "basics of algebra" step by step. It focuses on essential topics such as "fractions, factors, simple equations, indices, and ratios", making it suitable for school students and anyone starting their algebra journey.
Collins emphasizes "practice and problem-solving", providing numerous worked examples and exercises that reinforce learning. Each chapter builds gradually, ensuring learners gain confidence before moving to more complex topics. The explanations are simple and direct, making abstract ideas more approachable, which is especially helpful for self-learners or students struggling with mathematics.
The book’s practical approach ensures that learners not only understand algebraic theory but also learn how to apply it in everyday problem-solving. With its systematic structure, clear explanations, and abundant practice material, "Practical Elementary Algebra" remains a trusted resource for mastering foundational algebra concepts. It lays a solid groundwork for more advanced mathematics, making it a valuable reference for students, teachers, and competitive exam aspirants.
Book Details & Specifications
Title:
Practical Elementary Algebra by Joseph Victor Collins
Publisher:
Cincinnati
Year:
1908
Pages:
447
Type:
PDF
Language:
English
ISBN-10 #:
1340718723
ISBN-13 #:
978-1340718725
License:
Public Domain Work
Amazon:
Amazon
About the Author: Joseph Victor Collins
The author
Joseph Victor Collins
was a renowned educator and mathematician who focused on making algebra simple and practical for beginners. His teaching approach emphasized "clarity", structured explanations, and step-by-step guidance, helping students understand the "basics of algebra" with ease. Collins authored "Practical Elementary Algebra", a book designed for learning "simple equations", "fractions", "problem-solving", and other foundational algebra concepts. His work remains widely respected in schools and self-study programs, providing students with a solid foundation for advanced mathematics while making algebra accessible and engaging.
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