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
created the world's most successful math textbooks. If you want to build a rock-solid foundation, downloading the definitive hall and knight elementary algebra pdf is highly recommended. Our digital library also provides a secure link for the advanced higher algebra by hall and knight pdf free download, as well as the complete hall and knight algebra pdf download series for students and self-study learners worldwide.
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