Elementary Algebra by Hamblin Smith
Elementary Algebra - Table of Contents
1. Addition and Subtraction
2. Multiplication
3. Involution
4. Division
5. On the Resolution of Expressions into Factors
6. On Simple Equations
7. Problems leading to Simple Equations
8. On the Method of finding the Highest Common Factor
9. Fractions
10. The Lowest Common Multiple
11. On Addition and Subtraction of Fractions
12. On Fractional Equations
13. Problems in Fractional Equations
14. On Miscellaneous Fractions
15. Simultaneous Equations of the First Degree
16. Problems resulting in Simultaneous Equations
17. On Square Root
18. On Cube Root
19. Quadratic Equations
20. On Simultaneous Equations involving Quadratics
21. On Problems resulting in Quadratic Equations
22. Indeterminate Equations
23. The Theory of Indices
24. On Surds
25. On Equations involving Surds
26. On the Roots of Equations
27. On Ratio
28. On Proportion
29. On Variation
30. On Arithmetical Progression
31. On Geometrical Progression
32. On Harmonical Progression
33. Permutations
34. Combinations
35. The Binomial Theorem, Positive Integral Exponents
36. The Binomial Theorem, Fractional and Negative Indices
37. Scales of Notation
38. On Logarithms
39. Appendix
40. Answers
What You Will Learn in Elementary Algebra
"Elementary Algebra" by James Hamblin Smith is a classic "algebra textbook" designed for high school students and early college learners. It introduces algebraic concepts progressively, bridging the gap between "arithmetic" and more advanced algebra. The book focuses on clarity and logical explanation, helping students understand the principles behind equations and expressions rather than just memorizing rules. Its structured approach makes it ideal for classroom use or "self-study".
The textbook covers a wide range of foundational topics, including "equations", quadratic expressions, simultaneous equations, progressions, and the Binomial Theorem. It also introduces powers, roots, radicals, and logarithms, providing a thorough grounding in classical algebra. Each topic is explained step by step, with practical exercises to reinforce learning and develop problem-solving skills. Smith’s emphasis on careful development of "algebraic concepts" ensures students build confidence and mastery as they progress.
Historically, "Elementary Algebra" reflects early 20th-century "mathematics education", combining rigor with accessibility. Its comprehensive coverage and methodical presentation make it a valuable resource for understanding classical algebra teaching and learning. Even today, it serves as a reliable guide for students seeking a strong foundation in algebra and for educators exploring traditional "algebra learning" methods.
Book Details & Specifications
Title:
Elementary Algebra by Hamblin Smith
Publisher:
Benj. H. Sanborn & Co.
Year:
1905
Pages:
456
Type:
PDF
Language:
English
ISBN-10 #:
1178986276
ISBN-13 #:
978-1178986273
License:
Public Domain Work
Amazon:
Amazon
About the Author: Hamblin Smith
The author
Hamblin Smith
was an influential American educator and mathematician known for his contributions to "mathematics education". He authored clear, structured "algebra textbooks" for high school and early college students, focusing on logical progression and practical exercises. His work emphasized understanding "algebraic concepts" over rote memorization. Smith’s "Elementary Algebra" guided students through foundational algebra topics, promoting problem-solving and critical thinking. Widely used in schools and for "self-study", his textbooks reflect early 20th-century teaching methods. His legacy continues to influence classical approaches to "algebra learning", making his work a valuable resource for educators and students alike.
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