Sciences, Technology & Medicine

## A Textbook Of Engineering Mathematics Kelara Uni Sem 1 & 2

This book is a part of the original book â€œA Textbook of Engineering Mathematicsâ€ by N.P. Bali running into eighth edition and very well received by the teachers and students of all Indian Universities. The rapid sale of the eighth edition bears testimony to the over-whelming response. We thank them all for the appreciation. The present form of the book contains only six chapters and covers the entire revised New syllabus for the students of semester I & II of Kerala University. Latest problems taken from Kerala University Question papers are added with solutions in this edition. More worked out problems were given as examples. There is no dearth of books Engineering Mathematics but the students find it difficult to solve most of the problems in the exercise in the absence of an adequate number of solved examples. An outstanding and distinguishing feature of the book is the large number of typical solved examples followed by well-graded problems. Many examples and problems have been selected from recent papers of various engineering examinations.
• Publisher: Laxmi Publications
• Language: English
• Chapter 1

### Chapter 1 Differential Calculus Price 2.99  |  2.99 Rewards Points

As the hyperbolic functions are defined in terms of the exponential function, the inverse
hyperbolic functions are expressible in terms of the inverse of the exponential function.

• Chapter 2

### Chapter 2 Partial Differentiation Price 2.99  |  2.99 Rewards Points

FUNCTIONS OF TWO VARIABLES
If three variables x, y, z are so related that the value of z depends upon the values of x and y,
then z is called a function of two variables x and y, and this is denoted by z = f(x, y).

• Chapter 3

### Chapter 3 Multiple Integrals Price 2.99  |  2.99 Rewards Points

The definite integral
a
b z f(x) dx is defined as the limits of the sum f(x1)δx1 + f(x2)δx2 + ⋅⋅⋅ +
f(xn)δxn when n → ∞ and each of the lengths δx1, δx2, ..., δxn tends to zero. Here δx1, δx2, ..., δxn
are n sub-intervals into which the range b – a has been divided and x1, x2, ..., xn are values of
x lying respectively in the first, second, ..., nth sub-interval.

• Chapter 4

### Chapter 4 Laplace Transforms Price 2.99  |  2.99 Rewards Points

A transformation is a mathematical device which converts one function into another.

Laplace transforms or Laplace transformation is widely used by scientists and engineers.
It is particularly effective in solving linear differential equations – ordinary as well as
partial. It reduces an ordinary differential equation into an algebraic equation.
Laplace transform directly gives the solution of differential equations with given initial
conditions without the necessity of first finding the general solution and then evaluating the
arbitrary constants.

• Chapter 5

### Chapter 5 Differential Equations Price 2.99  |  2.99 Rewards Points

A linear differential equation is the differential equation in which the dependent variable
and its derivatives occur only in the first degree and are not multiplied together.

• Chapter 6

### Chapter 6 Matrices Price 2.99  |  2.99 Rewards Points

Any one of the following operations on a matrix is called an elementary transformation (or Eoperation).

• Chapter 7

Appendix