Sciences, Technology & Medicine

## Mathematical Methods

It has been written in a simple, lucid and easy to understand style. Number of solved examples and the problems given in the exercise have been taken from examination papers of JNTU to make students familiar with the type of questions. Hints and answers are given in the exercise to help students in self learning. Each chapter has been planned as an independent unit so that various topics connected with can also be read separately. At the end of each Unit, objective type questions along with answers are provided to equip the students in facing JNTU on-line internal examinations as well as competitive examinations like GATE, IES, etc.
• Publisher: Laxmi Publications
• Language: English
• ISBN : 978-93-80856-47-6
• Chapter 1

### Matrices and Linear System of Equations Price 2.99  |  2.99 Rewards Points

In modern Engineering Mathematics Matrix theory is used in various branches of pure and applied mathematics. A matrix is a collection of numbers arranged in the form of a rectangular array. In this chapter, a brief revision of matrices, types, properties, inverse of a matrix, Rank of a matrix is presented.
• Chapter 2

### Eigen Values Eigen Vectors and Diagonalization of a Matrix Price 2.99  |  2.99 Rewards Points

The concept of eigen values, eigen vectors, and diagonalization of a matrix plays very important roles in many scientific and engineering applications. In this chapter, we will study eigen values, eigen vectors and their properties and diagonalization of a matrix through similarity and orthogonal transformations.
• Chapter 3

### Real Complex Matrices and Quadratic Forms Price 2.99  |  2.99 Rewards Points

Real, complex matrices and quadratic forms play an important role in various scientific applications.This chapter discusses the various properties of real, complex matrices and quadratic forms.
• Chapter 4

### Solution of Algebraic and Transcendental Equations Price 2.99  |  2.99 Rewards Points

This chapter has brief definitions of the main concepts algebraic equations and transcendental equations. It also discusses concepts such as the bisection method or the Bolzano method, iteration method or successive approximation method etc. Question with solutions have been discussed at the end of each concept.
• Chapter 5

### Interpolation Price 2.99  |  2.99 Rewards Points

The process of estimating the value of y for some value of x outside the interval (x0, xn) is called extrapolation. The word interpolation generally includes extrapolation as well. The study of interpolation is based on the concept of differences of a function which is discussed in this chapter.
• Chapter 6

### Curve Fitting Price 2.99  |  2.99 Rewards Points

The general problem of finding equations of approximating curves which fit given data is called curve fitting. In this chapter, fitting of a linear and non-linear curves by using different methods are discussed.
• Chapter 7

### Numerical Differenciation and Integration Price 2.99  |  2.99 Rewards Points

In many Engineering and Scientific applications, the problem of differentiation or integration of some functions can be seen. If the functions have a closed form representation and are amicable for standard calculus methods, the differentiation and integration can be carried out. This chapter discusses various numerical differentiation and numerical integration methods.
• Chapter 8

### Numerical Solution of Ordinary Differential Equations Price 2.99  |  2.99 Rewards Points

Many problems in Science and Engineering can be reduced to the problem of solving differential equations satisfying certain given conditions. By applying analytical methods, several standard types of differentiation equations can be solved. However, the differential equations appearing in physical problems are quite difficult and may not be posses close form solutions. In such cases, they may be solved numerically, This chapter discusses various methods of solving an initial value problem in the dy/dx = f(x,y) with initial condition y(x0) = y0.
• Chapter 9

### Fourier Series Price 2.99  |  2.99 Rewards Points

Fourier Series named after the French Mathematician and Physicist Jean - Baptiste Joseph Fourier (1768-1830), has several interesting applications in Engineering. He introduced Fourier series in 1822, when he was dealing with the problem of heat conduction along a bar. Fourier Series became a very important tool in mathematical physics and had a considerable amount of influence on further development of mathematics. This chapter discusses the basic concepts of the Fourier Series.
• Chapter 10

### Fourier Integral Transforms Price 2.99  |  2.99 Rewards Points

This chapter discusses the properties of Fourier Integral Transforms and makes use of them in solving partial differential equations. Fouurier Transforms are widely used in various boundary value problems of engineering such as vibration of strings, conduction of heat, oscillation of an elastic beam, transmission lines etc.
• Chapter 11

### Partial Differential Equations Price 2.99  |  2.99 Rewards Points

A differential equation which involves partial derivatives is called a partial differential equation. This chapter studies the formations and solutions of partial differential equations.
• Chapter 12

### Z-Transforms Price 2.99  |  2.99 Rewards Points

Z-Transforms plays an important role in Electronic Communication Engineering particularly in discrete analysis and linear time invariant systems. Its role in discrete analysis is the same as that of laplace and Fourier transforms in continuous systems. This chapter discusses the various concepts under Z-Transforms.