People who have read this book give mix opinion about the book. As per my opinion, the book Higher Algebra by Hall and Knight is really helpful to get in-depth knowledge in Algebra. The practice will not only help you to crack most of the questions from this part. But also help you to get knowledge for regular course work.
However, the book is really good I will not suggest you buy this book if you are a repeater and you have only one year left for preparation.
For the students of class XI, this book may be really useful.
Here are the chapters covered in this book.
Theorems Connected with The Progression
Scales of Notation
Surds and Imaginary Quantities
The Theory of Quadratic Equations
Permutations and Combinations
Binomial Theorem Positive Integral Index
Binomial Theorem. Any Index
Exponential and Logarithmic Series
Interest and Annuities
Limiting Values and Vanishing Fractions
Convergence and Divergency of Series
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
The best part of the book is a large number of solved examples and questions provided in the book which helps an aspirant to get a good grasp over the topic. We recommend buying this book if you have enough time and you are curious to solve challenges from the book.