This book is a part of the original book of Sri. N.P. Bali (with 25 chapters and covering the syllabi of engineering courses of all semesters of all the Indian Universities), running its ninth edition and very well received by the teachers and students of all Indian Universities. The rapid sale of the ninth edition bears testimony to the overwhelming response. Authors thank them all for their appreciation.
Additional Info
  • Publisher: Laxmi Publications
  • Language: English
  • ISBN : 97-893-8575-094-6
  • Chapter 1

    Contents

    This document contains Contents.

  • Chapter 2

    Preface

    The greatest challenge before mankind is to understand nature. Mathematics is a subject that helps us to understand the nature better. My fascination with Mathematics started right from my childhood. While majoring in Civil Engineering, the fascination took me to greater heights. In my view, the visualization of the beauty of Mathematics can be brought out of its presentation style and proper curricula. On its part, the JNTU-K has brought in the necessary modifications and revised the syllabus of Mathematics subject to suit the demands of the Engineering Community.

  • Chapter 3

    Acknowledgement

    We would like to thank Prof. V.S.S. Kumar, Vice-Chancellor, Jawaharlal Nehru Technological University, Kakinada for his encouragement in bringing semester wise simplified versions of the original book to cater to the needs of the students joined under JNTUK stream.

  • Chapter 4

    Chapter 1 - Solution of Algebraic and Transcendental Equations Price 0.11  |  0.11 Rewards Points

    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.

  • Chapter 5

    Chapter 2 - Interpolation Price 0.11  |  0.11 Rewards Points

    According to Theile, ‘Interpolation is the art of reading between the lines of the table’. It also means insertion or filling up intermediate terms of the series. Suppose, we are given the following values of y = f(x) for a set of values of x:

  • Chapter 6

    Chapter 3 - Numerical Integration and Solution of Ordinary Differential Equations Price 0.11  |  0.11 Rewards Points

    Given a set of tabulated values of the integrand f(x), to determine the value of x xn f x dx 0 z ( ) is called numerical integration. We subdivide the given interval of integration into a large number of subintervals of equal width h and replace the function tabulated at the points of subdivision by any one of the interpolating polynomials like Newton-Gregory’s, Stirling’s, Bessel’s over each of the subintervals and evaluate the integral.

  • Chapter 7

    Chapter 4 - Fourier Series Price 0.11  |  0.11 Rewards Points

    Periodic functions are of common occurrence in many physical and engineering problems; for example, in conduction of heat and mechanical vibrations. It is useful to express these functions in a series of sines and cosines.

  • Chapter 8

    Chapter 5 - Applications of Partial Differential Equations Price 0.11  |  0.11 Rewards Points

    Many physical and engineering problems when formulated in the mathematical language give rise to partial differential equations. Besides these, partial differential equations also play an important role in the theory of Elasticity, Hydraulics etc.

  • Chapter 9

    Chapter 6 - Fourier Transforms Price 0.11  |  0.11 Rewards Points

    The integral transform of a function f(x) is defined by the equation I{f(x)} = f s( ) = a b z f(x) K(s, x) dx, where K(s, x) is a known function of s and x, called the kernel of the transform; s is called the parameter of the transform and f(x) is called the inverse transform of f s( ) .

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