Problems in Mathematics with Hints and Solutions

by V. Govorov, P. Dybov, N. Miroshin

Key Features A book for the students appearing for AIEEE and Other Engineering Entrance Examinations. Theory has been provided in points between each chapter for clarifying relevant basic concepts. The book consist four parts algebra and trigonometry, fundamentals of analysis, geometry and vector algebra and the problems and questions set during oral examinations. Each chapter consist topic wise problems. Sample examples are provided after each text for understanding the topic well. The fourth part "oral examination problems and question" includes samples suggested by the higher schools for the help of students. Answers and hints are given at the end of the book for understanding the concept well. About the Problems in Mathematics with Hints and Solutions Preface Part 1. Algebra, Trigonometry and Elementary Functions Problems on Integers. Criteria for Divisibility Real Number, Transformation of Algebraic Expressions Mathematical Induction. Elements of Combinatorics. BinomialTheorem Equations and Inequalities of the First and the SecondDegree Equations of Higher Degrees, Rational Inequalities Irrational Equations and Inequalities Systems of Equations and Inequalities The Domain of Definition and the Range of a Function Exponential and Logarithmic Equations and Inequalities Transformations of Trigonometric Expressions. InverseTrigonometric Functions Solutions of Trigonometric Equations, Inequalities and Systemsof Equations Progressions Solutions of Problems on Derivation of Equations Complex Numbers Part 2. Fundamentals of Mathematical Analysis Sequences and Their Limits. An Infinitely Decreasing GeometricProgression. Limits of Functions The Derivative. Investigating the Behaviors of Functions withthe Aid of the Derivative Graphs of Functions The Antiderivative. The Integral. The Area of a CurvilinearTrapezoid Part 3. Geometry and Vector Algebra Vector Algebra Plane Geometry. Problems on Proof Plane Geometry. Construction Problems Plane Geometry. C

Genres: Mathematics, Science

386 pages, Paperback

First published December 1, 1996

Reviews

[Viveka Nand · Rating 1 out of 5]

Feeling much good

[RAjeev Kumar · Rating 5 out of 5]

Good

[Rohan]

How to read books

[Muhammad Qodir]

Nothing

[Khk · Rating 5 out of 5]

Good book

[SANJAY KUMAR]

Good book

[Prateek Yadav]

kk

[Aryan Prasad · Rating 3 out of 5]

This book is to much overrated among JEE circles.

[Shivam Yadav · Rating 5 out of 5]

this is awesome book I have ever read.

[Ravi]

Good

[Rohnit Chauhan]

Very exciting

[Sushmita · Rating 4 out of 5]

nice one