The Joint Entrance examination (JEE) can be considered as one of the toughtest examinations conducted in India, which it has to be as it is the gateway to the IITs India's prestigious institutes of learning. It has thus inevitably led to keen competition. While such a competiton is not bad in itself, the subsequent mechanisation and commercialisation of the preparation for its has some undesirable consequences. Probably the most undersirable side effect is that is the mad rush to solve problems, the educative value of a problems is often lost. The thought process of students is thus skewed into solving problems without thoroughly understanding the basic concepts lying behind the problems and without a corresponding development of the thinking ability. About Author : K D Joshi obtained his Ph.D. in Mathematics from Indian University, USA in 1972 and has been teaching mathematics at IIT Bombay since 1975. He has been involved with the conduct of the Joint Entrance Examination in various capacities for over two decades. Contents : Counting Problems Basic Algebra Theory of Equations Number Theory Binomial Identities Inequalities Trigonometric Identities Geemoetry Coordinate Geometry Trigonometric Equations Solution of Triangles Heights and Distances Answers to Exercises in Part I
This book tells us what elementary mathematics is all about. Without appearing like a coaching manual for the JEE, it expounds many new but quite interesting concepts and their newer applications in mathematics. It is a must for anybody who has interest in this type of mathematics regardless of whether he or she is appearing for the jee or not. It also teaches us how to read mathematical text and what rigour is. It is an absolute must for mathematics teachers at the UG level.