A textbook of engineering mathematics-I /

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Gangwar, H. S.
Otros Autores: Gupta, Prabhakar
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New Delhi : New Age International Ltd., 2010.
Edición:2nd ed.
Temas:
Engineering mathematics > Textbooks.
TECHNOLOGY & ENGINEERING > Engineering (General)
TECHNOLOGY & ENGINEERING > Reference.
Engineering mathematics
Textbooks
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Cover
  • Preface to theSecond Revised Edition
  • Unit-1. Differential Calculus-I
  • 1.1 Introduction
  • 1.1 nth Derivative of Some Elementary Functions
  • Exercise 1.1
  • 1.2 Leibnitz's Theorem
  • Exercise 1.2
  • Exercise 1.3
  • Partial Differentiation
  • 1.3 Function of Two Variables
  • 1.4 Partial Differential Coefficients
  • Exercise 1.4
  • 1.5 Homogeneous Function
  • 1.6 Euler's Theorem on Homogeneous Functions
  • Exercise 1.5
  • 1.7 Total Differential Coefficient
  • Exercise 1.6
  • Curve Tracing
  • 1.8 Procedure for Tracing Curves in Cartesian FormExercise 1.7
  • 1.9 Polar Curves
  • Exercise 1.8
  • 1.10 Parametric Curves
  • Exercise 1.9
  • 1.11 Taylor's Theorem for Functions of Two Variables
  • Exercise 1.10
  • Objective Type Questions
  • Answers to Objective Type Questions
  • Unit-ll. Differential Calculus-II
  • 2.1 Jacobian
  • Exercise 2.1
  • 2.2 Approximation of Errors
  • Exercise 2.2
  • 2.3 Extrema of Function of Several Variables
  • Exercise 2.3
  • 2.4 Lagrange's Method of Undetermined Multipliers
  • Exercise 2.4
  • Objective Type Questions Answers to Objective Type Questions
  • Unit-lll Matrices
  • 3.0 Introduction
  • 3.1 Definition of Matrix
  • 3.2 Types of Matrices
  • 3.3 Operations on Matrices
  • 3.4 Track of Matrix
  • 3.5 Properties of Transpose
  • 3.6 Properties of Conjugate Matrices
  • 3.7 Singular and Non-Singular Matrices
  • 3.8 Adjoint of a Square Matrix
  • 3.9 Inverse of a Matrix (Reciprocal)
  • Exercise 3.1
  • 3.10 Elementary Row and Column Transformations
  • 3.11 Method of Finding Inverse of a Non-Singular Matrix by Elementary Transformations
  • Exercise 3.23.12 Rank of a Matrix
  • Exercise 3.3
  • 3.13 System of Linear Equations (Non-Homogeneous)
  • 3.14 System of Homogeneous Equations
  • 3.15 Gaussian Elimination Method
  • Exercise 3.4
  • 3.16 Linear Dependence of Vectors
  • Exercise 3.5
  • 3.17 Eigen Values and Eigen Vectors
  • Exercise 3.6
  • 3.18 Cayley-Hamilton Theorem
  • Exercise 3.7
  • 3.19 Diagonalization of a Matrix
  • 3.20 Application of Matrices to Engineering Problems
  • Exercise 3.8
  • Objective Type Questions
  • Answers to Objective Type Questions
  • Unit-lV. Multiple Integrals4.1 Multiple Integrals
  • 4.2 Double Integrals
  • 4.3 Working Rule
  • 4.4 Double Integration for Polar Curves
  • Exercise 4.1
  • 4.5 Change of the Order of Integration
  • 4.6 Change of Variables in a Multiple Integral
  • Exercise 4.2
  • 4.7 Beta and Gamma Functions
  • 4.8 Transformations of Gamma Function
  • 4.9 Transformations of Beta Function
  • 4.10 Relation between Beta and Gamma Functions
  • 4.11 Some Important Deductions
  • 4.12 Duplication Formula
  • 4.13 Evaluate the Integrals
  • Exercise 4.3

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