### Introduction

I explain all chapter some important details paragraphs that were taken from 9th class math book and also images taken from this book.

## 9th class maths book chapter details

### 1-Matrices and Determinants

The matrices and determinants are used in Physics, Statistics, Electronics, Mathematics, and other branches of science. The matrices have played a very important role in this age of computer science.

The idea of matrices was given by Arthur Carlyle, an English mathematician of the nineteenth century, who first developed, Theory of Metrics in 1858.

### 2-Real and Complex Numbers

The numbers we use are the foundation of mathematics and we use different types of numbers in our daily life. So it is necessary to be familiar with various kinds of numbers. In this chapter, we shall discuss real and complex numbers including their properties.

There is a one-one correspondence between real numbers and the points on the real line. The basic operation of addition, subtraction, multiplication, and division on complex numbers will also be discussed in this unit.

### 3-Logarithms

The difficult and complicated calculations become easier by using logarithms. Abu Muhammad Musa Al Khwarizmi first person who gave the idea of logarithms. Later on, in the seventeenth century, John Napier extended his work logarithms and prepared tables for logarithms.

He used e as the base for the preparation for logarithm tables. Professor Henry Briggs had a social interest in the work of John Napier. He prepared logarithm tables with base 10. Antilogarithm table was prepared and announced by Jost Burgi in 1620 A.D.

### 4-Algebraic Expressions and Algebraic Formulas

Algebra is a generalization of arithmetic. Recall that when the operation of addition and subtraction is applied to algebraic terms, we obtain an algebraic expression.

### 5-Factorization

Factorization plays a very important role in mathematics and it helps to reduce the study of complicated expression to the study of simpler expressions. In this unit, we deal with different types of factorization of polynomials.

### 6-Algebraic Manipulation

In this unit, we will first deal with the finding H.C.F and L.C.M of algebraic expressions by factorization and long division. I hope you download the 9th class maths book pdf for free.

Then by using H.C.F and L.C.M we will simplify fractional expressions. Toward the end of the unit finding square root of algebraic expression by factorization and division are discussed.

### 7-Linear Equations and Inequalities

In this unit, we will extend the study of previously learned skills to the solution of equations with rational coefficients of Unit 2 and the equations involving radicals and absolute value.

Finally, after defining inequalities, and recalling their dichotomy, transitive, additive, and multiplicative properties we will use them to solve linear inequalities with rational coefficients.

### 8-Linear Graphs & Their Application

I can't explain this chapter because I can't get any information about this chapter with details so if you interested then download the 9th Math book. If you find any explanation then tell me through comment I will appreciate you.

### 9-Introduction to Coordinate Geometry Descriptive Geometry

The study of geometrical shapes in a plane is called plane geometry. Coordinate geometry is the study of geometrical shapes in the Cartesian plane (coordinate plane). We know that a plane is divided into four quadrants by two perpendicular lines called the axes intersecting at the origin.

We have also seen that there is one to one correspondence between the points of the plane and the ordered pairs in R * R.

### 10-Congruent Triangles

In this unit before proving the theorems, we will explain what is meant by 1 - 1 correspondence (the symbol used for 1 - 1 correspondence is ) and the congruence of triangles. We shall also state the S.A.S postulate.

### 11-Parallelograms and Triangles

Before proceeding to prove the theorems in this unit the students are advised to recall definitions of polygons like a parallelogram, rectangle, square, rhombus, trapezium, etc. and in particular triangles and their congruence. For more information download 9th class maths book.

### 12-Line Bisectors and Angle Bisectors

In this unit, we will prove theorems and their converses, if any, about the right bisector of a line segment and bisector of an angle. But before that, it will be useful to recall the following definitions. But before that, it will be useful to recall the following definitions.

### 13-Sides and Angles of a Triangle

Recall that if two sides of a triangle are equal, then the angles opposite to them are also equal and vice-versa. But in this unit, we shall study some interesting inequality relations among the sided and angles of a triangle. I hope you download the 9th mathematics book English medium.

### 14-Ratio and Proportion

In this chapter, we will prove some theorems and corollaries involving ratio and proportions of sides of triangle and similarity of triangles.

A knowledge of ratio and proportion is a necessary requirement of many occupations like food service occupation, medications in health, preparing maps for land survey and construction works, profit to cost ratios, etc. Here dear you download 9th mathematics book easily.

### 15-Pythagoras Theorem

A Greek philosopher and mathematician discovered the simple but very important relationship between the sides of a right-angled triangle. He formulated these relationships in the form of a theorem called Pythagoras' Theorem after his name.

There are various methods of proving this theorem. We shall prove it by using similar triangles. We shall state to prove its converse also then apply them to solve different problems.

### 16-Theorems Related With Area

In this chapter, we will state and prove some important theorems related to the area of parallelograms and triangles along with corollaries. We shall apply to solve the appropriate problems to prove some useful results.

### 17-Practical Geometry Triangles

In this unit, we shall learn to construct different triangles, rectangles, squares, etc. The knowledge of these basic constructions is very useful in everyday life, especially in the occupations of wood-working, graphic art and metal trade, etc.

Intermixing of geometrical figures used to create an artistic look. The geometrical constructions are usually made with the help of a pair of compasses, set squares, divider, and a straight edge. Download 9th math book in English for complete details