Mathematics for Electrical Engineering and Computing 1st ediiton by Mary P Attenborough ISBN 075065855X 978-0750658553

Mathematics for Electrical Engineering and Computing 1st ediiton by Mary P Attenborough – Ebook PDF Instant Download/Delivery.  075065855X 978-0750658553
Full download Mathematics for Electrical Engineering and Computing 1st edition after payment

Product details:

ISBN 10: 075065855X
ISBN 13: 978-0750658553
Author: Mary P Attenborough 

Mathematics for Electrical Engineering and Computing embraces many applications of modern mathematics, such as Boolean Algebra and Sets and Functions, and also teaches both discrete and continuous systems – particularly vital for Digital Signal Processing (DSP). In addition, as most modern engineers are required to study software, material suitable for Software Engineering – set theory, predicate and prepositional calculus, language and graph theory – is fully integrated into the book.

Excessive technical detail and language are avoided, recognising that the real requirement for practising engineers is the need to understand the applications of mathematics in everyday engineering contexts. Emphasis is given to an appreciation of the fundamental concepts behind the mathematics, for problem solving and undertaking critical analysis of results, whether using a calculator or a computer.

The text is backed up by numerous exercises and worked examples throughout, firmly rooted in engineering practice, ensuring that all mathematical theory introduced is directly relevant to real-world engineering. The book includes introductions to advanced topics such as Fourier analysis, vector calculus and random processes, also making this a suitable introductory text for second year undergraduates of electrical, electronic and computer engineering, undertaking engineering mathematics courses.

Dr Attenborough is a former Senior Lecturer in the School of Electrical, Electronic and Information Engineering at South Bank University. She is currently Technical Director of The Webbery – Internet development company, Co. Donegal, Ireland.

• Fundamental principles of mathematics introduced and applied in engineering practice, reinforced through over 300 examples directly relevant to real-world engineering

Mathematics for Electrical Engineering and Computing 1st Table of contents:

Chapter 1: Introduction to Mathematical Tools for Electrical Engineering
1.1. Importance of Mathematics in Electrical Engineering and Computing
1.2. Overview of Key Mathematical Concepts
1.3. Linear Algebra, Calculus, and Differential Equations
1.4. Role of MATLAB in Engineering Mathematics
1.5. Setting Up Mathematical Models in Engineering

Chapter 2: Complex Numbers and Their Applications
2.1. Introduction to Complex Numbers
2.2. Polar and Rectangular Forms
2.3. Operations with Complex Numbers
2.4. Complex Plane and Phasor Representation
2.5. Applications in AC Circuits and Signals
2.6. MATLAB Implementation of Complex Numbers

Chapter 3: Matrices and Linear Algebra
3.1. Matrix Operations and Properties
3.2. Determinants and Inverses
3.3. Systems of Linear Equations and Solutions
3.4. Eigenvalues and Eigenvectors
3.5. Linear Transformations and Vector Spaces
3.6. Applications in Circuit Analysis and Control Systems
3.7. MATLAB for Matrix Calculations

Chapter 4: Differential Equations
4.1. Introduction to Ordinary Differential Equations (ODEs)
4.2. First-Order Differential Equations
4.3. Higher-Order Differential Equations
4.4. Solution Methods: Separation of Variables, Integrating Factors
4.5. Laplace Transforms and Their Applications
4.6. Solving Electrical Engineering Models Using Differential Equations
4.7. MATLAB for Solving ODEs

Chapter 5: Fourier Series and Fourier Transforms
5.1. Introduction to Fourier Series
5.2. Convergence of Fourier Series
5.3. Fourier Transforms and Their Properties
5.4. Signal Analysis Using Fourier Transforms
5.5. Applications in Signal Processing and Communications
5.6. MATLAB for Fourier Analysis

Chapter 6: Laplace Transforms and Their Applications
6.1. Introduction to Laplace Transforms
6.2. Properties and Theorems of Laplace Transforms
6.3. Inverse Laplace Transforms
6.4. Applications in Circuit Analysis and Control Systems
6.5. Solving Engineering Problems Using Laplace Transforms
6.6. MATLAB for Laplace Transform Computations

Chapter 7: Vector Calculus and Field Theory
7.1. Introduction to Vectors and Vector Fields
7.2. Gradient, Divergence, and Curl
7.3. Line, Surface, and Volume Integrals
7.4. Gauss’s and Stokes’ Theorems
7.5. Applications in Electromagnetic Field Theory
7.6. MATLAB for Vector Calculus

Chapter 8: Probability and Statistics
8.1. Basic Concepts of Probability
8.2. Random Variables and Distributions
8.3. Expectation, Variance, and Covariance
8.4. Introduction to Statistical Inference
8.5. Application in Communication Systems and Signal Processing
8.6. MATLAB for Probability and Statistical Analysis

Chapter 9: Numerical Methods for Engineering Problems
9.1. Numerical Solutions of Algebraic Equations
9.2. Numerical Integration and Differentiation
9.3. Solving Systems of Equations Numerically
9.4. Numerical Optimization Techniques
9.5. Applications in Simulation and Engineering Design
9.6. MATLAB for Numerical Methods

Chapter 10: Signals and Systems
10.1. Continuous and Discrete-Time Signals
10.2. Time-Domain and Frequency-Domain Analysis
10.3. Linear Time-Invariant Systems
10.4. Convolution and Impulse Response
10.5. Stability and System Response
10.6. MATLAB for Signals and Systems Analysis

Chapter 11: Control Systems
11.1. Introduction to Control Systems
11.2. Transfer Functions and Block Diagrams
11.3. Stability Criteria and Routh-Hurwitz Criterion
11.4. Root Locus, Bode, and Nyquist Plots
11.5. State-Space Representation
11.6. MATLAB for Control System Analysis and Design

Chapter 12: Electrical Circuits and Network Theory
12.1. Circuit Elements and Ohm’s Law
12.2. Kirchhoff’s Voltage and Current Laws
12.3. AC Circuits and Phasor Analysis
12.4. Circuit Theorems: Thevenin, Norton, Superposition
12.5. Two-Port Networks and Impedance Matching
12.6. MATLAB for Circuit Analysis

Chapter 13: Discrete Mathematics and Computer Science Fundamentals
13.1. Logic and Boolean Algebra
13.2. Set Theory and Relations
13.3. Graph Theory and Algorithms
13.4. Combinatorics and Counting Techniques
13.5. Discrete Structures in Computing
13.6. MATLAB for Discrete Mathematics Applications

Chapter 14: Optimization Techniques
14.1. Introduction to Optimization in Engineering
14.2. Linear Programming and Convex Optimization
14.3. Optimization Algorithms: Gradient Descent, Newton’s Method
14.4. Application of Optimization in Engineering Design
14.5. MATLAB for Optimization Problems

Chapter 15: Applications in Electrical Engineering and Computing
15.1. Mathematical Modeling of Electrical Circuits
15.2. Signal Processing and Filtering
15.3. Power Systems and Energy Management
15.4. Communication Systems and Network Analysis
15.5. Computational Methods for Computational Intelligence
15.6. Case Studies: Real-World Applications of Mathematics in Engineering

Appendices
A.1. MATLAB Resources and Commands
A.2. Mathematical Tables and Formulas
A.3. Glossary of Terms
A.4. Index

People also search for Mathematics for Electrical Engineering and Computing 1st:

franz kafka metamorphosis and other stories

kafka metamorphosis and other storiesmetamorphosis and other stories pdf

metamorphosis and other stories pdf

the metamorphosis and other stories summary

the metamorphosis and other stories audiobook