Problems Plus In IIT Mathematics is a book written for the IIT-JEE entrance examination preparation by A. Das Gupta. It serves as an excellent guidebook for the brushing up of vital concepts and contains practice questions required for the IIT-JEE aspirants.
Summary Of The Book
This book, Problems Plus In IIT Mathematics, has been compiled mainly to hone the skills of students and help them in their preparation for the IIT-JEE. A lot of exercises have been provided in the book for the necessary revision and practice of the IIT-JEE aspirants.
The book carries with it some salient features which separate it from the rest of its kind. The inception of every chapter occurs with a gist of facts, formulae, and working techniques. Icons are given to mark the tricks and hints. Solved questions are provided for each chapter which include both short and long objective type questionnaires. In addition to that, multiple answer questions have also been included. Practice tests have been given at the end for the benefit of the students along with solutions. Moreover, a separate chapter comprising miscellaneous questions is there in the end. This provision should turn out to be very helpful for the students because they would not know the chapter from which the question is given beforehand.
The contents of the book are widely categorised into various topics. The first topic is Algebra, which consists of sub-topics like Determinants and Cramer’s Rule, Progressions, Equations, Inequations and Expressions, Infinite Series, Principle of Mathematical Induction (PMI), and Matrices. The next topics given is Trigonometry. It comes with sub-categories like Identities, Inverse Circular Functions, Logarithm, Solution of Equations, Heights and Distances, Properties of Triangle, Trigonometrical Inequalities and Inequations, and Circular Functions. The next sub heading covered is Coordinate Geometry. It consists of sub-topics like Circles, Parabola, Ellipse and Hyperbola, and Transformation of Axes. Then there is the topic called Calculus. It involves the sub-headings of Differentiation, Function, Indeterminate Form, Limit, Differentiability and Graph of Function, Continuity, Maxima and Minima, Application of dy/dx, Monotonic Function and Lagrange’s Theorem, Definite Integration, and Differential Equation of the First Order. The next topic is Vectors. It contains the sub-topics of Application of Vectors, Product of two Vectors, Vectors and Addition of Vector, and Product of three or more Vectors. Next topic is Probability having subtopics such as Total Conditional Probability, Elementary Probability, and Bayes’ Theorem. Then comes Coordinate Geometry of Three Dimensions containing sub-headings of Planes, Points, and Direction cosines and Direction ratios. The book concludes with practice tests comprising Miscellaneous Exercises.
In short, the book is comprehensively written and covers its topics well. It is a useful read for students and mathematics buffs.
About A. Das Gupta
Apart from this book, A. Das Gupta is renowned for authoring or co-authoring many other books, some of which include books such asPrinciples Of Physical Geography.
Publisher Bharati Bhawan
Publication Year 2014
Exam JEE Main & Advanced