Algebra by Hall and Knight is one of the best books for JEE preparation. Students preparing for IIT JEE and other engineering entrance exams as well as students appearing for board exams should read this everyday, especially to master Algebra and Probability. Hall and Knight have explained the concepts logically in their book.
The book is quite interesting and challenging. Authored by some of the best authors, Hall and Knight Algebra book is quite affordable too.
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.
Other Algebra books you may want to buy are:
Barnard and Child
K.P. Basu
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