Ratio

Proportion

Variation

Arithmetical Progression

Geometrical Progression

Harmonical Progression Theorems Connected with The Progression

Scales of Notation

Surds and Imaginary Quantities

The Theory of Quadratic Equations

Miscellaneous Equations

Permutations and Combinations

Mathematical Induction

Binomial Theorem Positive Integral Index

Binomial Theorem. Any Index

Multinomial Theorem

Logarithms

Exponential and Logarithmic Series

Interest and Annuities

Inequalities

Limiting Values and Vanishing Fractions

Convergency and Divergency of Series

Undetermined Coefficients

Partial Fractions

Recurring Series

Continued Fractions

Indeterminate Equations of the First Degree

Recurring Continued Fractions

Indeterminate Equations of the Second Degree

Summation of Series

Theory of Numbers

The General Theory of Continued Fractions

Probability

Chapter 33 Determinants

Chapter 34 Miscellaneous Theorems and Examples

Chapter 35 Theory of Equations

Hall and Knight Algebra includes lots of solved and unsolved examples, which offer excellent practice to students preparing for competitive exams. Solutions to the problems in the Higher Algebra by Hall and Knight are arranged in a point-wise manner with step-by-step explanations, making them easier to understand.

Books such as pre-algebra book, Higher School Mathematics by Hall and Knight, and Hall and Knight Algebra book are interlinked and hence, it is difficult to classify them as Class 11 or Class 12 books.

Many of the sub-topics that JEE aspirants need to master are missing in the book like position of roots, range of quadratic functions, and rational inequalities. Besides, the book follows a subjective pattern, not best suitable for JEE preparation. It is best for students of Class IX and X to develop an interest in Algebra as it introduces them to several new theorems in a very interesting manner.

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