Book description
Designed for the core papers Engineering Mathematics II and III, which students take up across the second and third semesters, Engineering Mathematics VolumeII offers detailed theory with a wide variety of solved examples with reference to engineering applications, along with over 1,000 objectivetype questions that include multiple choice questions, fill in the blanks, match the following and true or false statements.
Table of contents
 Cover
 Title Page
 Contents
 About the Author
 Dedication
 Preface
 1. Eigenvalues and Eigenvectors

2. Quadratic Forms
 2.1 Introduction
 2.2 Quadratic Forms
 2.3 Canonical Form (or) Sum of the Squares Form
 2.4 Nature of Real Quadratic Forms
 2.5 Reduction of a Quadratic Form to Canonical Form
 2.6 Sylvestor’s Law of Inertia
 2.7 Methods of Reduction of a Quadratic Form to a Canonical Form
 2.8 Singular Value Decomposition of a Matrix
 3. Solution of Algebraic and Transcendental Equations

4. Interpolation
 4.1 Introduction
 4.2 Interpolation with Equal Intervals
 4.3 Symbolic Relations and Separation of Symbols
 4.4 Interpolation
 4.5 Interpolation Formulas for Equal Intervals
 4.6 Interpolation with Unequal Intervals
 4.7 Properties Satisfied by Δ ′
 4.8 Divided Difference Interpolation Formula
 4.9 Inverse Interpolation Using Lagrange’s Interpolation Formula
 4.10 Central Difference Formulas
 5. Curve Fitting
 6. Numerical Differentiation and Integration
 7. Numerical Solution of Ordinary Differential Equations

8. Fourier Series
 8.1 Introduction
 8.2 Periodic Functions, Properties
 8.3 Classifiable Functions—Even and Odd Functions
 8.4 Fourier Series, Fourier Coefficients and Euler’s Formulae in (a, a +2 π)
 8.5 Dirichlet’s Conditions for Fourier Series Expansion of a Function
 8.6 Fourier Series Expansions: Even/Odd Functions
 8.7 SimplyDefined and Multiply(Piecewise) Defined Functions
 8.8 Change of Interval: Fourier Series in Interval (a, a + 2l) :
 8.9 Fourier Series Expansions of Even and Odd Functions in (−l, l )
 8.10 HalfRange Fourier Sine/Cosine Series: Odd and Even Periodic Continuations
 8.11 Root Mean Square (RMS) Value of a Function

9. Fourier Integral Transforms
 9.1 Introduction
 9.2 Integral Transforms
 9.3 Fourier Integral Theorem
 9.4 Fourier Integral in Complex Form
 9.5 Fourier Transform of f (x)
 9.6 Finite Fourier Sine Transform and Finite Fourier Cosine Transform (FFCT)
 9.7 Convolution Theorem for Fourier Transforms
 9.8 Properties of Fourier Transform
 9.9 Parseval’s Identity for Fourier Transforms
 9.10 Parseval’s Identities for Fourier Sine and Cosine Transforms

10. Partial Differential Equations
 10.1 Introduction
 10.2 Order, Linearity and Homogeneity of a Partial Differential Equation
 10.3 Origin of Partial Differential Equation
 10.4 Formation of Partial Differential Equation by Elimination of Two Arbitrary Constants
 10.5 Formation of Partial Differential Equations by Elimination of Arbitrary Functions
 10.6 Classification of FirstOrder Partial Differential Equations
 10.7 Classification of Solutions of FirstOrder Partial Differential Equation
 10.8 Equations Solvable by Direct Integration
 10.9 QuasiLinear Equations of First Order 0.10 Solution of Linear, SemiLinear and QuasiLinear Equations
 10.11 Nonlinear Equations of First Order
 10.12 Euler’s Method of Separation of Variables
 10.13 Classification of SecondOrder Partial Differential Equations
 10.14 Twodimensional Wave Equation

11. ZTransforms and Solution of Difference Equations
 11.1 Introduction
 11.2 ZTransform: Definition
 11.3 ZTransforms of Some Standard Functions (Special Sequences)
 11.4 Recurrence Formula for the Sequence of a Power of Natural Numbers
 11.5 Properties of ZTransforms
 11.6 Inverse ZTransform
 11.7 Application of ZTransforms: Solution of a Difference Equations by ZTransform
 11.8 Method for Solving a Linear Difference Equation with Constant Coefficients

12. Special Functions
 12.1 Introduction
 12.2 Gamma Function
 12.3 Recurrence Relation or Reduction Formula
 12.4 Various Integral Forms of Gamma Function
 12.5 Beta Function
 12.6 Various Integral Forms of Beta Function
 12.7 Relation Between Beta and Gamma Functions
 12.8 Multiplication Formula
 12.9 Legendre’s Duplication Formula
 12.10 Legendre Functions
 12.11 Bessel Functions
 13. Functions of a Complex Variable
 14. Elementary Functions
 15. Complex Integration
 16. Complex Power Series
 17. Calculus of Residues
 18. Argument Principle and Rouche’s Theorem
 19. Conformal Mapping
 Notes
 Question Bank
 Acknowldegements
 Copyright
Product information
 Title: Engineering Mathematics, Volume 2
 Author(s):
 Release date: March 2012
 Publisher(s): Pearson India
 ISBN: 9788131784952
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