(EBook PDF) Advanced Engineering Mathematics 4th Edition by Ravish R Singh, Mukul Bhatt 9352602544 9789352602544 full chapters

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ISBN-10 :  9352602544

ISBN-13 : 9789352602544

Author: Ravish R Singh, Mukul Bhatt

Information contained in this work has been obtained by McGraw Hill Education (India), from sourcesbelieved to be reliable. However, neither McGraw Hill Education (India) nor its authors guarantee the accuracyor completeness of any information published herein, and neither McGraw Hill Education (India) nor itsauthors shall be responsible for any errors, omissions, or damages arising out of use of this information. Thiswork is published with the understanding that McGraw Hill Education (India) and its authors are supplyinginformation but are not attempting to render engineering or other professional services. If such services arerequired, the assistance of an appropriate professional should be sought.

 

Advanced Engineering Mathematics 4th Table of contents:

1. Introduction to Some Special Functions 1.1 –1.8

1.1 Introduction 1.1

1.2 Gamma Function 1.2

1.3 Beta Function 1.2

1.4 Bessel Function 1.3

1.5 Error Function and Complementary Error Function 1.3

1.6 Heaviside’s Unit Step Function1.4

1.7 Pulse of Unit Height and Duration Function 1.5

1.8 Sinusoidal Pulse Function 1.5

1.9 Rectangle Function1.5

1.10 Gate Function 1.6  

1.11 Dirac’s Delta Function 1.6  

1.12 Signum Function 1.7  

1.13 Sawtooth Wave Function 1.7  

1.14 Triangular Wave Function 1.7  

1.15 Half-Wave Rectified Sinusoidal Function 1.7  

1.16 Full-Wave Rectified Sinusoidal Function 1.8

1.17 Square-Wave Function 1.8

2. Fourier Series and Fourier Integral

2.1 –2.107 2.1 Introduction 2.1

2.2 Fourier Series 2.1

2.3 Trigonometric Fourier Series 2.2

2.4 Fourier Series of Functions of any Period 2.3

2.5 Fourier Series of Even and Odd Functions 2.52

2.6 Half-Range Fourier Series 2.76  

2.7 Fourier Integral 2.95 Points to Remember 2.106

3. Ordinary Differential Equations and Applications 3.1

3.1 3.2 Differential Equations

3.2 3.3 Ordinary Differential Equations of First Order and First Degree 3.5

4. Series Solution of Differential Equations 4.1 –4.45

4.1 Introduction 4.1

4.2 Power-Series Method 4.1

4.3 Series Solution about an Ordinary Point 4.5

4.4 Frobenius Method 4.20

5. Laplace Transforms and Applications 5.1 –5.206

5.1 Introduction 5.1

5.2 Laplace Transform 5.2

5.3 Laplace Transform of Elementary Functions 5.2

5.4 Basic Properties of Laplace Transform 5.12

5.5 Differentiation of Laplace Transforms (Multiplication byt  ) 5.33

5.6 Integration of Laplace Transforms (Division by t  ) 5.45

5.7 Laplace Transforms of Derivatives 5.56  

5.8 Laplace Transforms of Integrals 5.59

5.9 Evaluation of Integrals using Laplace Transform 5.68

5.10 Unit Step Function 5.75

5.11 Dirac’s Delta Function 5.82

5.12 Laplace Transforms of Periodic Functions 5.86  

5.13 Inverse Laplace Transform 5.94

5.14 Convolution Theorem 5.158

5.15 Solution of Linear Ordinary Differential Equations 5.176  

5.16 Solution of Systems of Simultaneous Differential Equations 5.195

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