Description
Advanced Engineering Mathematics (10th Ed.)
Applications Guide
Authors: Laoulache Raymond N., Rice John M.
Language: EnglishSubject for Advanced Engineering Mathematics:
Keywords
s formal and abstract mathematics; applied engineering; engineering students; advanced mathematics; practical importance in engineering; modeling applied engineering problems; effect on system behavior; undergraduates; calculus; linear algebra; Computer Algebra Systems; CAS; Applied Engineering Mathematics; complement to Kreyszig's Advanced Engineering Mathematics
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Add to cart the book of Laoulache Raymond N., Rice John M.384 p. · 21.3x26.9 cm · Paperback
Description
/li>Contents
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Advanced Engineering Mathematics: Applications Guide is a text that bridges the gap between formal and abstract mathematics, and applied engineering in a meaningful way to aid and motivate engineering students in learning how advanced mathematics is of practical importance in engineering. The strength of this guide lies in modeling applied engineering problems. First-order and second-order ordinary differential equations (ODEs) are approached in a classical sense so that students understand the key parameters and their effect on system behavior.
The book is intended for undergraduates with a good working knowledge of calculus and linear algebra who are ready to use Computer Algebra Systems (CAS) to find solutions expeditiously. This guide can be used as a stand-alone for a course in Applied Engineering Mathematics, as well as a complement to Kreyszig?s Advanced Engineering Mathematics or any other standard text.
Chapter 1: First-Order Ordinary Differential Equations
1.1 Introduction
1.2 Basic Concepts
1.3 Engineering Form of The First-Order ODE and The Time Constant
1.4 Response of a System to a Sinusoid Forcing Function
Homework Problems for Chapter One
Chapter 2: Second-Order Initial Value Ordinary Differential Equations
2.1 Introduction
2.2 Basic Concepts
2.3 Engineering Form of the Second-Order ODE
2.4 Modeling of Second-Order Linear Homogeneous Systems: Free Vibration
2.5 Solution of Nonhomogeneous Second-Order Linear ODE
2.6 Modeling of Second-Order Linear Nonhomogeneous Systems: Forced Vibration
2.7 Undamped Second-Order Systems with a Sinusoid Forcing Function
Homework Problems for Chapter Two
Chapter 3: Boundary Value Ordinary Differential Equations
3.1 Introduction
3.2 Basic Concepts
3.3 Solution of Linear BVPs: Direct Integration
3.4 General Solution of Second-Order Linear BVPs: Homogeneous and Particular Solutions
3.5 Homogeneous BVP: The Eigenvalue Problem
Homework Problems for Chapter Three
Chapter 4: Systems of Ordinary Differential Equations
4.1 Introduction
4.2 Basic Concepts
4.3 Eigenvalues and Stability of Homogeneous and Linear Systems of First-Order ODEs
4.4 Stability of a System of First-Order ODEs Using Phase Plane
4.5 Numerical Solution of Orbits
4.6 Second-Order Systems
4.7 Eigenvalues of Homogeneous and Linear System of Second-Order ODEs
Homework Problems for Chapter Four
Chapter 5: Laplace Transform
5.1 Introduction
5.2 Basic Concepts
5.3 Forcing Functions
5.4 Laplace Transform
5.5 Laplace Transform of First-Order ODEs
5.6 Laplace Transform of Second-Order ODEs
5.7 Laplace Transfor of First-Order Coupled ODEs
Homework Problems for Chapter Five
Chapter 6: Fourier Series and Continuous Fourier Transform
6.1 Introduction
6.2 Basic Concepts
6.3 Fourier Series
6.4 Continuous Fourier Transform
Homework Problems for Chapter Six
Chapter 7: Discrete Fourier Transform
7.1 Introduction
7.2 Discrete Functions
7.3 Discrete Fourier Transform and Discrete Frequency Spectrum
7.4 Fast Fourier Transform
Homework Problems for Chapter Seven
Chapter 8: Introduction to Computational Techniques
8.1 Introduction
8.2 The Finite Difference Method
8.3 Boundary Value Problems
8.4 The Finite Element Method
Homework Problems for Chapter Eight
Raymond N. Laoulache and John M. Rice are the authors of Advanced Engineering Mathematics: Applications Guide, published by Wiley.
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