We now come to Problem Book In High School Mathematics edited by A. I. Prilepko.

The present problem book is meant for high-school students

who intend to enter technical colleges. I t contains more than

two thousand problems and examples covering all divisions

of high-school mathematics.The main aim of the book is to help students to revise their

school knowledge of mathematics and develop a technique

in solving a variety of problems.The book consists of nine chapters divided into sections,

each of which deals with a certain theme. The problems on

a definite theme are arranged in the order of increasing

difficulty, which makes it possible for a student to gradually

acquire the necessary techniques and experience in problem

solving. Thus, the problems are classified as far as possible.

Most of the problems were given at the entrance examinations

in various colleges to the USSR in recent years. All the

problems are supplied with answers, and some of them with

solutions or instructions. The words “Solution” and “Hint”

are replaced by the signs A and. respectively. The list of

designations makes the use of the book more convenient.

All the contributors to the book have a long experience

as lecturers at preparatory courses of colleges, as teachers

at high schools specializing in physics and mathematics and

as examiners in mathematics.

This book was translated from the Russian by *I. A. Aleksanova*. The

book was published by first Mir Publishers in 1985.

All credits to the *original uploader.*

DJVU | 4 MB | Pages: 280 | Cover

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Table of Contents

**Chapter 1. Rational Equations, Inequalities and Functions in One Variable**

1.1. Linear Equations and Inequalities in One Variable. A Linear Function

1.2. Quadratic Equations and Inequalities. A Quadratic Function

1.3. Inverse Proportionality

1.4. Equations and Inequalities of Higher Degrees. A Rational Function

1.5. Linear Systems of Equations and Inequalities

1.6. Systems of Equations and Inequalities in Several Higher-Degree Variables

**Chapter 2. Transcendental Functions, Equations and Inequalities**

2.1. Irrational Equations and Inequalities

2.2. Systems of Irrational Equations and Inequalities

2.3. An Exponential and a Logarithmic Function, Exponential and

Logarithmic Equations, Systems of Equations, and Inequalities

2.4. Transformation of Trigonometric Expressions

2.5. Trigonometric Functions

2.6. Inverse Trigonometric Functions

2.7. Trigonometric Equations and Systems of Equations

2.8. Trigonometric Inequalities

**Chapter 3. Problems on Deriving Equations and Inequalities**

3.1. Problems on Motion

3.2. Problems on Percentages, Mixtures, Numbers and Work

3.3. Problems on Deriving Inequalities and Systems of

Inequalities. Problems on the Extremum

**Chapter 4. The Antiderivative and the Integral**

4.1. The Antiderivative. The NewtonLeibniz Formula

4.2. Calculating the Areas of Plane Figures

**Chapter 5. Progressions and Number Sequences**

5.1. Progressions

5.2. Number Sequences

**Chapter 6. Elements of Vector Algebra**

6.1. Linear Operations on Vectors

6.2. The Scalar Product of Vectors

**Chapter 7. Plane Geometry**

7.1. Problems on Proving Propositions

7.2. Construction Problems

7.3. Problems on Calculation

**Chapter 8. Solid Geometry**

8.1. A Straight Line, a Plane. Polyhedra. Solids of Revolution

8.2. Problems on Combinations of Polyhedra and Solids of Revolution

8.3. Volumes of Solids of Revolution

**Chapter 9. Miscellaneous Problems**

9.1. Problems in Algebra

9.2. Limit of a Function. Continuity

9.3. The Derivative of a Function

9.4. Integral Calculus. Miscellaneous Problems

When I click “request download file” it says “no such file”. Could you reupload the file please? Thank you.

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V nice post, many many thanks

admin!!!!!!! please try uploading gn berman.

i need it for jee preparation

i am not being able to open the downloaded file bcoz it the file type is djvu something so how should i open it

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I have solved almost every solution of this book. 🙂 I Have used for IIT-JEE prepration nice book. 🙂

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it is really very tough and interesting book

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I want solutions of prilepko book