(Book) Problems Plus In IIT Mathematics Exam by Bharati Bhawan
BOOK DETAILS :
Language : English
Binding : Paperback
Publisher : Bharati Bhawan (Publishers & Distributors); Seventh
Edition : 2005 edition (2011)
Product Dimensions : 27.4 x 20.1 x 4.3 cm
ISBN : 9788177096576, 8177096575
Edition : 2014
Pages : 727
Description : 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 as Principles
Of Physical Geography.