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فهرست محتوای دیجیتالی
فهرست مطالب
فهرست نقدها
2322 مرتبه مشاهده شده
Engineering mathematics
Ganesh, A.
- ISBN:9788122428827
- ISBN:9786612129063
- Call Number : TA 330 .G36 2009
- Main Entry: Ganesh, A.
- Title:Engineering mathematics. II [electronic resource] / A. Ganesh, G. Balasubramanian.
- Publisher:New Delhi : New Age International, 2009.
- Physical Description: xv, 447 p. : ill
- Subject:Engineering mathematics.
- Added Entry:Balasubramanian, G.
- Reproduction no./Source:212906 MIL
Engineering mathematicsمحتواي کتاب
- Cover
- Preface
- Acknowledgement
- Contents
- Unit-l.Differential Calculus—I
- Unit-ll Differential Calculus–II
- Unit-lll Integral Calculus
- 3.1 Introduction
- 3.2 Multiple Integrals
- 3.3 Double Integrals
- Worked Out Examples
- Exercise 3.1
- 3.3.1 Evaluation of a Double Integral by Changing the Order of Integration
- 3.3.2 Evaluation of a Double Integral by Change of Variables
- 3.3.3 Applications to Area and Volume
- Worked Out Examples
- Type 1. Evaluation over a given region
- Type 2. Evaluation of a double integral by changing the order of integration
- Type 3. Evaluation by changing into polars
- Type 4. Applications of double and triple integrals
- Exercise 3.2
- 3.4 Beta and Gama Functions
- Unit-lV Vector Integration and Orthogonal Curvilinear Coordinates
- 4.1 Introduction
- 4.2 Vector Integration
- 4.3 Integral Theorem
- 4.4 Orthogonal Curvilinear Coordinates
- 4.4.1 Definition
- 4.4.2 Unit Tangent and Unit Normal Vectors
- 4.4.3 The Differential Operators
- Worked Out Examples
- Exercise 4.3
- 4.4.4. Divergence of a Vector
- Worked Out Examples
- Exercise 4.4
- 4.4.5 Curl of a Vector
- Worked Out Examples
- Exercise 4.5
- 4.4.6. Expression for Laplacian ∇2 ψ
- 4.4.7. Particular Coordinate System
- Worked Out Examples
- Exercise 4.6
- Additional Problems
- Objective Questions
- Unit-V Differential Equations-I
- 5.1 Introduction
- 5.2 Linear Differential Equations of Second and Higher Order with Constant Coefficients
- 5.3 Solution of a Homogeneous Second Order Linear Differential Equation
- 5.4 Inverse Differential Operator And Particular Integral
- 5.5 Special Forms of X
- 5.6 Method of Undetermined Coefficients
- 5.7 Solution of Simultaneous Differential Equations
- Unit-Vl Differential Equations-II
- Unit Vll Laplace Transforms
- 7.1 Introduction
- 7.2 Definition
- 7.3 Properties of Laplace Transforms
- 7.3.1 Laplace Transforms of Some Standard Functions
- Worked Out Examples
- Exercise 7.1
- 7.3.2 Laplace Transforms of the form eat f (t)
- Worked Out Examples
- Exercise 7.2
- 7.3.3 Laplace Transforms of the form t n f (t) Where n is a Positive Integer
- 7.3.4 Laplace Transforms of f(t)/t
- Worked Out Examples
- Exercise 7.3
- 7.4 Laplace Transforms of Periodic Functions
- 7.5 Laplace Transforms of Unit Step Function and Unit impulse Function
- Unit Vlll Inverse Laplace Transforms
- 8.1 Introduction
- 8.2 Inverse Laplace Transforms of Some Standard Functions
- 8.3 Inverse Laplace Transforms Using Partial Fractions
- 8.4 Inverse Laplace Transforms of the Functions of the form F(s)/s
- 8.5 Convolution Theorem
- 8.6 Laplace Transforms of the Derivatives
- 8.7 Solution of Linear Differential Equations
- 8.8 Applications of Laplace Transforms
- Model Question Paper–I
- Model Question Paper–Il