Sciences, Technology & Medicine

## A Textbook Of Engineering Mathematics (MTU) Sem 3 or 4

The revised Seventh edition of this textbook is an outcome of new syllabus of Engineering Mathematics III (AS-301A/AS-401A and AS-301B/AS-401B) for the students of B. Tech. II year (Both III and IV semester in all branches) proposed and implemented by the Mahamaya Technical University (M.T.U.), Noida recently. The book has been renovated in the light of the latest syllabus. It will work as the latest ready reckoner for the readers. The subject matter has been made more lucid and easier to understand. A large number of new solved examples and questions have been added. All the answers have been checked and verified. All the questions of latest university papers have been added in the body of the text. The suggestions from our colleagues and readers have been incorporated at the proper places. An appreciably heavy demand of the book ensures its utility to the users. Separate exercise (TEST YOUR KNOWLEDGE) have been given at the end of each unit. This book is written with a unique style only meant for the welfare of dear students. We hope that this book will be a strength for them and it will serve their very purpose of attaining excellent results.
• Publisher: Laxmi Publications
• Language: English
• ISBN : 978-93-80856-85-8
• Chapter 1

### Chapter 1 Complex Analysis Price 2.99  |  2.99 Rewards Points

A complex number z is an ordered pair (x, y) of real numbers

• Chapter 2

### Chapter 2 Mathematical Methods Price 2.99  |  2.99 Rewards Points

The theory of integral transforms affords mathematical devices through which solutions of
numerous boundary value problems of engineering can be obtained e.g. conduction of heat,
transverse vibrations of a string, transverse oscillations of an elastic beam, transmission lines
etc.
The choice of a particular transform to be employed for the solution of an equation
depends on the boundary conditions of the problem and the ease with which the transform can
be inverted.
An integral transform when applied to a partial differential equation reduces the number
of its independent variables by one.

• Chapter 3

• Chapter 4

### Chapter 4 Numerical Techniques–I Price 2.99  |  2.99 Rewards Points

Consider the equation of the form f(x) = 0
If f(x) is a quadratic, cubic or biquadratic expression then algebraic formulae are available
for expressing the roots. But when f(x) is a polynomial of higher degree or an expression involving
transcendental functions e.g., 1 + cos x – 5x, x tan x – cosh x, e–x – sin x etc., algebraic methods
are not available.
Here, we shall describe some numerical methods for the solution of f(x) = 0, where f(x) is
algebraic or transcendental.

• Chapter 5

### Chapter 5 Numerical Techniques–II Price 2.99  |  2.99 Rewards Points

Consider a function of a single variable y = f(x). If f(x) is defined as an expression, its derivative
or integral may often be determined using the techniques of calculus.
However, when f(x) is a complicated function or when it is given in a tabular form, we
use numerical methods.

• Chapter 6

### Chapter 6 Linear Algebra Price 2.99  |  2.99 Rewards Points

An operation which combines two elements of a set to give another element of the same set is
called a binary operation or a binary composition.

• Chapter 7

### APPENDIX Price 2.99  |  2.99 Rewards Points

AREAS UNDER THE STANDARD NORMAL

• Chapter 8

### EXAMINATION PAPERS Price 2.99  |  2.99 Rewards Points

B. Tech. [SEMESTER-IV]
THEORY EXAMINATION, 2012–2013
MATHEMATICS—III

### About the Author

Dr. Manish Goyal view complete profile