Higher Algebra by H. S. Hall, S. R. Knight
Higher Algebra - Table of Contents
1. Ratio
2. Proportion
3. Variation
4. Arithmetical Progression
5. Geometrical Progression
6. Harmonical Progression; Theorems connected with the Progressions
7. Scales of Notation
8. Surds and Imaginary Quantities
9. The Theory of Quadratic Equations
10. Miscellaneous Equations
11. Permutations and Combinations
12. Mathematical Induction
13. Binomial Theorem — Positive Integral Index
14. Binomial Theorem — Any Index
15. Multinomial Theorem
16. Logarithms
17. Exponential and Logarithmic Series
18. Interest and Annuities
19. Inequalities
20. Limiting Values and Vanishing Fractions
21. Convergence and Divergence of Series
22. Undetermined Coefficients
23. Partial Fractions
24. Recurring Series
25. Continued Fractions
26. Indeterminate Equations of the First Degree
27. Recurring Continued Fractions
28. Indeterminate Equations of the Second Degree
29. Summation of Series
30. Theory of Numbers
31. The General Theory of Continued Fractions
32. Probability
33. Determinants
34. Miscellaneous Theorems and Examples
35. Theory of Equations
What You Will Learn in Higher Algebra
"Higher Algebra: A Sequel to Elementary Algebra for Schools" by H. S. Hall and S. R. Knight is a classic "algebra textbook" widely used for advanced high-school and early college students. It builds a strong foundation in algebra, moving beyond elementary topics into deeper concepts. The book emphasizes clear explanations, logical progression, and systematic coverage, making it suitable for classroom learning and "self-study". It bridges basic arithmetic and algebra with advanced problem-solving, ensuring students develop a solid understanding of "algebraic concepts".
The textbook covers a wide range of topics, including ratio, proportion, arithmetic and geometric progressions, surds, imaginary quantities, quadratic and higher-order equations, binomial and multinomial theorems, series, logarithms, partial and continued fractions, determinants, and the theory of equations. Each chapter provides thorough explanations, worked examples, and exercises for practice. This structured approach allows students to master complex topics step by step while reinforcing their problem-solving skills and analytical thinking.
Historically, "Higher Algebra" has been a cornerstone in "mathematics education", serving students preparing for competitive exams, higher studies, or rigorous algebra practice. Its comprehensive coverage, clarity, and abundance of examples make it a reliable reference for understanding "higher algebra", building mastery in "algebraic concepts", and strengthening overall mathematical reasoning.
Book Details & Specifications
Title:
Higher Algebra by H. S. Hall, S. R. Knight
Publisher:
Macmillan
Year:
1927
Pages:
588
Type:
PDF
Language:
English
ISBN-10 #:
9385923587
ISBN-13 #:
978-9385923586
License:
Public Domain Work
Amazon:
Amazon
About the Author: Henry Sinclair Hall and Samuel Ratcliffe Knight
The author
Henry Sinclair Hall and Samuel Ratcliffe Knight
are renowned authors of the classic mathematics textbook "Higher Algebra". Hall, a British mathematician and educator, focused on presenting complex algebraic concepts with "clarity" and logical structure. Knight collaborated closely, contributing extensive "examples" and exercises that made learning algebra practical and effective. Their book covers advanced topics like the "theory of equations", "determinants", "matrices", and series, offering step-by-step explanations and challenging problems. Even today, it is a trusted resource for students and competitive exam aspirants, providing a strong foundation in "higher algebra" through a blend of theory and problem-solving practice.
Read or Downloadable Higher Algebra
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