Higher Algebra by H. S. Hall, S. R. Knight - PDF

About this book :-
"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 Detail :-
Title: Higher Algebra by H. S. Hall, S. R. Knight - PDF
Publisher: Macmillan
Year: 1927
Pages: 588
Type: PDF
Language: English
ISBN-10 #: 9385923587
ISBN-13 #: 978-9385923586
License: Public Domain Work
Amazon: Amazon

About Author :-
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.

Book 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

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