A Handbook of Engineering Mathematics
N.B. Singh
This audiobook is narrated by a digital voice.
"A Handbook of Engineering Mathematics" is a comprehensive guide designed for beginners and those without a strong mathematical background, providing essential concepts and techniques necessary for success in engineering disciplines. Covering a wide range of topics from basic algebra to advanced calculus, differential equations, and discrete mathematics, this book offers clear explanations, practical examples, and step-by-step solutions to help readers grasp complex mathematical concepts and apply them to real-world engineering problems. With its user-friendly format and accessible language, this handbook serves as an invaluable resource for students, professionals, and anyone seeking to enhance their understanding of mathematical principles in the context of engineering applications.
Duration - 6h 5m.
Author - N.B. Singh.
Narrator - Digital Voice Mary G.
Published Date - Monday, 20 January 2025.
Copyright - © 2024 N.B. Singh ©.
Location:
United States
Description:
This audiobook is narrated by a digital voice. "A Handbook of Engineering Mathematics" is a comprehensive guide designed for beginners and those without a strong mathematical background, providing essential concepts and techniques necessary for success in engineering disciplines. Covering a wide range of topics from basic algebra to advanced calculus, differential equations, and discrete mathematics, this book offers clear explanations, practical examples, and step-by-step solutions to help readers grasp complex mathematical concepts and apply them to real-world engineering problems. With its user-friendly format and accessible language, this handbook serves as an invaluable resource for students, professionals, and anyone seeking to enhance their understanding of mathematical principles in the context of engineering applications. Duration - 6h 5m. Author - N.B. Singh. Narrator - Digital Voice Mary G. Published Date - Monday, 20 January 2025. Copyright - © 2024 N.B. Singh ©.
Language:
English
Preface
Duration:00:03:07
Linear Algebra
Duration:00:00:29
Vector Spaces
Duration:00:08:18
Linear Dependence and Independence
Duration:00:07:06
Basis and Dimension
Duration:00:07:53
Matrix Operations
Duration:00:08:07
Determinants
Duration:00:03:09
Eigenvalues and Eigenvectors
Duration:00:03:01
Systems of Linear Equations
Duration:00:00:04
Calculus
Duration:00:00:28
Functions of a Single Variable
Duration:00:03:11
Limits and Continuity
Duration:00:03:37
Differentiation
Duration:00:03:03
Application of Differentiation
Duration:00:03:12
Integration
Duration:00:03:47
Application of Integration
Duration:00:03:44
Differential Equations
Duration:00:03:12
Vector Calculus
Duration:00:00:17
Vector Differentiation
Duration:00:03:11
Gradient, Divergence, and Curl
Duration:00:05:42
Line Integrals
Duration:00:14:59
Green’s Theorem
Duration:00:02:55
Stokes’ Theorem and Gauss’ Divergence Theorem
Duration:00:03:54
First Order Differential Equations
Duration:00:05:06
Second Order Linear Differential Equations
Duration:00:05:48
Higher Order Linear Differential Equations
Duration:00:06:30
Systems of Linear Differential Equations
Duration:00:06:23
Series Solutions of Differential Equations
Duration:00:05:25
Partial Differential Equations
Duration:00:03:26
Complex Analysis
Duration:00:00:15
Complex Numbers
Duration:00:04:51
Analytic Functions
Duration:00:03:17
Cauchy-Riemann Equations
Duration:00:03:04
Contour Integrals
Duration:00:02:48
Cauchy’s Integral Theorem and Formula
Duration:00:03:08
Taylor and Laurent Series
Duration:00:03:22
Residue Theorem and Its Applications
Duration:00:02:47
Probability and Statistics
Duration:00:00:15
Probability Theory
Duration:00:03:03
Random Variables
Duration:00:04:51
Probability Distributions
Duration:00:05:59
Mathematical Expectation
Duration:00:05:43
Statistical Inference
Duration:00:06:40
Hypothesis Testing
Duration:00:06:11
Regression and Correlation
Duration:00:03:38
Numerical Methods
Duration:00:00:16
Error Analysis
Duration:00:03:12
Solution of Nonlinear Equations
Duration:00:03:18
Interpolation and Polynomial Approximation
Duration:00:03:26
Numerical Differentiation and Integration
Duration:00:03:30
Solution of Linear Systems
Duration:00:03:24
Numerical Solution of Ordinary Differential Equations
Duration:00:03:23
Numerical Solution of Partial Differential Equations
Duration:00:03:32
Transform Theory
Duration:00:00:09
Fourier Transform
Duration:00:02:57
Laplace Transform
Duration:00:02:52
Z-Transform
Duration:00:02:54
Properties of Transforms
Duration:00:03:22
Applications of Fourier Transform
Duration:00:02:55
Applications of Laplace Transform
Duration:00:03:11
Applications of Z-Transform
Duration:00:03:21
Fourier Series and Integrals
Duration:00:00:10
Fourier Series
Duration:00:03:44
Convergence of Fourier Series
Duration:00:03:38
Fourier Integrals
Duration:00:03:15
Fourier Sine and Cosine Transforms
Duration:00:03:07
Applications to Boundary Value Problems
Duration:00:00:09
Classification of Partial Differential Equations
Duration:00:03:34
Method of Separation of Variables
Duration:00:03:20
Wave Equation
Duration:00:03:35
Heat Equation
Duration:00:03:10
Laplace Equation
Duration:00:02:48
Boundary Value Problems
Duration:00:03:22
Numerical Methods for Partial Differential Equations
Duration:00:03:58
Integral Calculus
Duration:00:00:10
Definite Integrals
Duration:00:02:28
Indefinite Integrals
Duration:00:03:13
Techniques of Integration
Duration:00:04:07
Improper Integrals
Duration:00:04:47
Applications of Definite Integrals
Duration:00:05:41
Multiple Integrals
Duration:00:06:01
Line, Surface, and Volume Integrals
Duration:00:06:12
Discrete Mathematics
Duration:00:00:15
Propositional and Predicate Logic
Duration:00:06:02
Set Theory
Duration:00:06:33
Relations and Functions
Duration:00:06:18
Combinatorics
Duration:00:07:16
Graph Theory
Duration:00:07:38
Trees
Duration:00:05:48
Algorithms and Complexity
Duration:00:06:58