Applied engineering analysis

Tai-Ran Hsu. Preface xvii Suggestions to instructors xxi About the companion website xxv 1 Overview of Engineering Analysis 1 Chapter Learning Objectives 1 1.1 Introduction 1 1.2 Engineering Analysis and Engineering Practices 2 1.2.1 Creation 2 1.2.2 Problem Solving 2 1.2.3 Decision Making 3 1.3 "Toolbox" for Engineering Analysis 5 1.4 The Four Stages in Engineering Analysis 8 1.5 Examples of the Application of Engineering Analysis in Design 10 1.6 The "Safety Factor" in Engineering Analysis of Structures 17 1.7 Problems 19 2 Mathematical Modeling 21 Chapter Learning Objectives 21 2.1 Introduction 21 2.2 MathematicalModeling Terminology 26 2.2.1 The Numbers 26 2.2.1.1 Real Numbers 26 2.2.1.2 Imaginary Numbers 26 2.2.1.3 Absolute Values 26 2.2.1.4 Constants 26 2.2.1.5 Parameters 26 2.2.2 Variables 26 2.2.3 Functions 27 2.2.3.1 Form 1. Functions with Discrete Values 27 2.2.3.2 Form 2. Continuous Functions 27 2.2.3.3 Form 3. Includes bibliographical references. Engineering mathematics. Mathématiques de l'ingénieur. TECHNOLOGY & ENGINEERING Engineering mathematics Textbooks English 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 self-learning.-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. Intro; Title Page; Copyright; Table of Contents; Dedication; Preface; Suggestions to instructors; About the companion website; Chapter 1 Overview of Engineering Analysis; 1.1 Introduction; 1.2 Engineering Analysis and Engineering Practices; 1.3 a?Toolboxa? for Engineering Analysis; 1.4 The Four Stages in Engineering Analysis; 1.5 Examples of the Application of Engineering Analysis in Design; 1.6 The a?Safety Factora? in Engineering Analysis of Structures; Problems; Chapter 2 Mathematical Modeling; 2.1 Introduction; 2.2 Mathematical Modeling Terminology; 2.3 Applications of Integrals. …