Book description
A resource book applying mathematics to solve engineering problems
Applied Engineering Analysis is a concise textbookwhich demonstrates how toapply mathematics to solve engineering problems. It begins with an overview of engineering analysis and an introduction to mathematical modeling, followed by vector calculus, matrices and linear algebra, and applications of first and second order differential equations. Fourier series and Laplace transform are also covered, along with partial differential equations, numerical solutions to nonlinear and differential equations and an introduction to finite element analysis. The book also covers statistics with applications to design and statistical process controls.
Drawing on the author's extensive industry and teaching experience, spanning 40 years, the book takes a pedagogical approach and includes examples, case studies and end of chapter problems. It is also accompanied by a website hosting a solutions manual and PowerPoint slides for instructors.
Key features:
 Strong emphasis on deriving equations, not just solving given equations, for the solution of engineering problems.
 Examples and problems of a practical nature with illustrations to enhance student’s selflearning.
 Numerical methods and techniques, including finite element analysis.
 Includes coverage of statistical methods for probabilistic design analysis of structures and statistical process control (SPC).
Applied Engineering Analysis is a resource book for engineering students and professionals to learn how to apply the mathematics experience and skills that they have already acquired to their engineering profession for innovation, problem solving, and decision making.
Table of contents
 Cover
 Title Page
 Copyright
 Dedication
 Preface
 Suggestions to instructors
 About the companion website
 Chapter 1: Overview of Engineering Analysis
 Chapter 2: Mathematical Modeling
 Chapter 3: Vectors and Vector Calculus
 Chapter 4: Linear Algebra and Matrices
 Chapter 5: Overview of Fourier Series

Chapter 6: Introduction to the Laplace Transform and Applications
 6.1 Introduction
 6.2 Mathematical Operator of Laplace Transform
 6.3 Properties of the Laplace Transform
 6.4 Inverse Laplace Transform
 6.5 Laplace Transform of Derivatives
 6.6 Solution of Ordinary Differential Equations Using Laplace Transforms
 6.7 Solution of Partial Differential Equations Using Laplace Transforms
 Problems

Chapter 7: Application of Firstorder Differential Equations in Engineering Analysis
 7.1 Introduction
 7.2 Solution Methods for Firstorder Ordinary Differential Equations
 7.3 Application of Firstorder Differential Equations in Fluid Mechanics Analysis
 7.4 Liquid Flow in Reservoirs, Tanks, and Funnels
 7.5 Application of Firstorder Differential Equations in Heat Transfer Analysis
 7.6 Rigid Body Dynamics under the Influence of Gravitation
 Problems

Chapter 8: Application of Secondorder Ordinary Differential Equations in Mechanical Vibration Analysis
 8.1 Introduction
 8.2 Solution Method for Typical Homogeneous, Secondorder Linear Differential Equations with Constant Coefficients
 8.3 Applications in Mechanical Vibration Analyses
 8.4 Mathematical Modeling of Free Mechanical Vibration: Simple Mass–Spring Systems
 8.5 Modeling of Damped Free Mechanical Vibration: Simple Mass–Spring Systems
 8.6 Solution of Nonhomogeneous, Secondorder Linear Differential Equations with Constant Coefficients
 8.7 Application in Forced Vibration Analysis
 8.8 Near Resonant Vibration
 8.9 Natural Frequencies of Structures and Modal Analysis
 Problems

Chapter 9: Applications of Partial Differential Equations in Mechanical Engineering Analysis
 9.1 Introduction
 9.2 Partial Derivatives
 9.3 Solution Methods for Partial Differential Equations
 9.4 Partial Differential Equations for Heat Conduction in Solids
 9.5 Solution of Partial Differential Equations for Transient Heat Conduction Analysis
 9.6 Solution of Partial Differential Equations for Steadystate Heat Conduction Analysis
 9.7 Partial Differential Equations for Transverse Vibration of Cable Structures
 9.8 Partial Differential Equations for Transverse Vibration of Membranes
 Problems
 Chapter 10: Numerical Solution Methods for Engineering Analysis
 Chapter 11: Introduction to Finiteelement Analysis

Chapter 12: Statistics for Engineering Analysis
 12.1 Introduction
 12.2 Statistics in Engineering Practice
 12.3 The Scope of Statistics
 12.4 Common Concepts and Terminology in Statistical Analysis
 12.5 Standard Deviation (σ) and Variance (σ2)
 12.6 The Normal Distribution Curve and Normal Distribution Function
 12.7 Weibull Distribution Function for Probabilistic Engineering Design
 12.8 Statistical Quality Control
 12.9 Statistical Process Control
 12.10 The “Control Charts”
 Problems
 Bibliography
 Appendix 1: Table for the Laplace Transform
 Appendix 2: Recommended Units for Engineering Analysis
 Appendix 3: Conversion of Units
 Appendix 4: Application of MATLAB Software for Numerical Solutions in Engineering Analysis: Contributed by Vaibhav Tank
 Index
 End User License Agreement
Product information
 Title: Applied Engineering Analysis
 Author(s):
 Release date: April 2018
 Publisher(s): Wiley
 ISBN: 9781119071204
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