<p style="MARGIN: 0px" align="left" text-align="left">List of Examples xiv</p> <p style="MARGIN: 0px" align="left" text-align="left">Preface to Third Edition xx</p> <p style="MARGIN: 0px" align="left" text-align="left"> </p> <p style="MARGIN: 0px" align="left" text-align="left">1 Introduction 1</p> <p style="MARGIN: 0px" align="left" text-align="left"> Edward B. Magrab</p> <p style="MARGIN: 0px" align="left" text-align="left">1.1 Introduction 1</p> <p style="MARGIN: 0px" align="left" text-align="left">1.1.1 Organization of the Book and Its Goals 2</p> <p style="MARGIN: 0px" align="left" text-align="left">1.1.2 Some Suggestions on How to Use MATLAB 2</p> <p style="MARGIN: 0px" align="left" text-align="left">1.1.3 Book Notation Conventions 3</p> <p style="MARGIN: 0px" align="left" text-align="left">1.2 The MATLAB Environment 3</p> <p style="MARGIN: 0px" align="left" text-align="left">1.2.1 Introduction 3</p> <p style="MARGIN: 0px" align="left" text-align="left">1.2.2 Preliminaries–Command Window Management 5</p> <p style="MARGIN: 0px" align="left" text-align="left">1.2.3 Executing Expressions from the MATLAB Command Window–Basic MATLAB Syntax 8</p> <p style="MARGIN: 0px" align="left" text-align="left">1.2.4 Clarification and Exceptions to MATLAB’S Syntax 11</p> <p style="MARGIN: 0px" align="left" text-align="left">1.2.5 MATLAB Functions 14</p> <p style="MARGIN: 0px" align="left" text-align="left">1.2.6 Creating Scripts and Executing Them from the MATLAB Editor 19</p> <p style="MARGIN: 0px" align="left" text-align="left">1.3 Online Help 29</p> <p style="MARGIN: 0px" align="left" text-align="left">1.4 The Symbolic Toolbox 33</p> <p style="MARGIN: 0px" align="left" text-align="left">1.5 Summary of Functions Introduced in Chapter 1 41</p> <p style="MARGIN: 0px" align="left" text-align="left">Exercises 42</p> <p style="MARGIN: 0px" align="left" text-align="left"> </p> <p style="MARGIN: 0px" align="left" text-align="left">2 Vectors and Matrices 51</p> <p style="MARGIN: 0px" align="left" text-align="left"> Edward B. Magrab</p> <p style="MARGIN: 0px" align="left" text-align="left">2.1 Introduction 51</p> <p style="MARGIN: 0px" align="left" text-align="left">2.2 Definitions of Matrices and Vectors 52</p> <p style="MARGIN: 0px" align="left" text-align="left">2.3 Creation of Vectors 53</p> <p style="MARGIN: 0px" align="left" text-align="left">2.4 Creation of Matrices 64</p> <p style="MARGIN: 0px" align="left" text-align="left">2.5 Dot Operations 83</p> <p style="MARGIN: 0px" align="left" text-align="left">2.6 Mathematical Operations with Matrices 92</p> <p style="MARGIN: 0px" align="left" text-align="left">2.6.1 Addition and Subtraction 92</p> <p style="MARGIN: 0px" align="left" text-align="left">2.6.2 Multiplication 92</p> <p style="MARGIN: 0px" align="left" text-align="left">2.6.3 Determinants 101</p> <p style="MARGIN: 0px" align="left" text-align="left">2.6.4 Matrix Inverse 104</p> <p style="MARGIN: 0px" align="left" text-align="left">2.6.5 Solution of a System of Equations 107</p> <p style="MARGIN: 0px" align="left" text-align="left">2.7 Summary of Functions Introduced in Chapter 2 112</p> <p style="MARGIN: 0px" align="left" text-align="left">Exercises 113</p> <p style="MARGIN: 0px" align="left" text-align="left"> </p> <p style="MARGIN: 0px" align="left" text-align="left">3 Data Input/Output 127</p> <p style="MARGIN: 0px" align="left" text-align="left"> Edward B. Magrab</p> <p style="MARGIN: 0px" align="left" text-align="left">3.1 Strings and Annotated Output 127</p> <p style="MARGIN: 0px" align="left" text-align="left">3.1.1 Creating Strings 127</p> <p style="MARGIN: 0px" align="left" text-align="left">3.1.2 Converting Numerical Values to Strings and Displaying Them 130</p> <p style="MARGIN: 0px" align="left" text-align="left">3.2 Entering Data with input 135</p> <p style="MARGIN: 0px" align="left" text-align="left">3.2.1 Entering a Scalar with input 135</p> <p style="MARGIN: 0px" align="left" text-align="left">3.2.2 Entering a String with input 136</p> <p style="MARGIN: 0px" align="left" text-align="left">3.2.3 Entering a Vector with input 137</p> <p style="MARGIN: 0px" align="left" text-align="left">3.2.4 Entering a Matrix with input 137</p> <p style="MARGIN: 0px" align="left" text-align="left">3.3 Input/Output Data Files 137</p> <p style="MARGIN: 0px" align="left" text-align="left">3.4 Cell Arrays 141</p> <p style="MARGIN: 0px" align="left" text-align="left">3.5 Input Microsoft Excel Files 143</p> <p style="MARGIN: 0px" align="left" text-align="left">3.6 Summary of Functions Introduced in Chapter 3 144</p> <p style="MARGIN: 0px" align="left" text-align="left">Exercises 145</p> <p style="MARGIN: 0px" align="left" text-align="left"> </p> <p style="MARGIN: 0px" align="left" text-align="left">4 Program Flow Control 148</p> <p style="MARGIN: 0px" align="left" text-align="left">Edward B. Magrab </p> <p style="MARGIN: 0px" align="left" text-align="left">4.1 Introduction—The Logical Operator 148</p> <p style="MARGIN: 0px" align="left" text-align="left">4.2 Control of Program Flow 151</p> <p style="MARGIN: 0px" align="left" text-align="left">4.2.1 Branching—If Statement 151</p> <p style="MARGIN: 0px" align="left" text-align="left">4.2.2 Branching—Switch Statement 154</p> <p style="MARGIN: 0px" align="left" text-align="left">4.2.3 For Loop 155</p> <p style="MARGIN: 0px" align="left" text-align="left">4.2.4 While Loop 162</p> <p style="MARGIN: 0px" align="left" text-align="left">4.2.5 Early Termination of Either a for or a while Loop 166</p> <p style="MARGIN: 0px" align="left" text-align="left">4.3 Summary of Functions Introduced in Chapter 4 166</p> <p style="MARGIN: 0px" align="left" text-align="left">Exercises 167</p> <p style="MARGIN: 0px" align="left" text-align="left"> </p> <p style="MARGIN: 0px" align="left" text-align="left">5 Function Creation and Selected MATLAB Functions 172</p> <p style="MARGIN: 0px" align="left" text-align="left">Edward B. Magrab </p> <p style="MARGIN: 0px" align="left" text-align="left">5.1 Introduction 173</p> <p style="MARGIN: 0px" align="left" text-align="left">5.1.1 Why Use Functions 173</p> <p style="MARGIN: 0px" align="left" text-align="left">5.1.2 Naming Functions 174</p> <p style="MARGIN: 0px" align="left" text-align="left">5.1.3 Length of Functions 174</p> <p style="MARGIN: 0px" align="left" text-align="left">5.1.4 Debugging Functions 174</p> <p style="MARGIN: 0px" align="left" text-align="left">5.2 User-Defined Functions 175</p> <p style="MARGIN: 0px" align="left" text-align="left">5.2.1 Introduction 175</p> <p style="MARGIN: 0px" align="left" text-align="left">5.2.2 Function File 175</p> <p style="MARGIN: 0px" align="left" text-align="left">5.2.3 Subfunctions 181</p> <p style="MARGIN: 0px" align="left" text-align="left">5.2.4 Anonymous Functions 183</p> <p style="MARGIN: 0px" align="left" text-align="left">5.2.5 inline 184</p> <p style="MARGIN: 0px" align="left" text-align="left">5.2.6 Comparison of the Usage of Subfunctions, Anonymous Functions, and inline 185</p> <p style="MARGIN: 0px" align="left" text-align="left">5.3 User-Defined Functions, Function Handles, and feval 186</p> <p style="MARGIN: 0px" align="left" text-align="left">5.4 MATLAB Functions that Operate on Arrays of Data 187</p> <p style="MARGIN: 0px" align="left" text-align="left">5.4.1 Introduction 187</p> <p style="MARGIN: 0px" align="left" text-align="left">5.4.2 Fitting Data with Polynomials–polyfit/polyval 188</p> <p style="MARGIN: 0px" align="left" text-align="left">5.4.3 Fitting Data with spline 190</p> <p style="MARGIN: 0px" align="left" text-align="left">5.4.4 Interpolation of Data–interp1 192</p> <p style="MARGIN: 0px" align="left" text-align="left">5.4.5 Numerical Integration–trapz 193</p> <p style="MARGIN: 0px" align="left" text-align="left">5.4.6 Area of a Polygon–polyarea 195</p> <p style="MARGIN: 0px" align="left" text-align="left">5.4.7 Digital Signal Processing–fft and ifft 196</p> <p style="MARGIN: 0px" align="left" text-align="left">5.5 MATLAB Functions that Require User-Defined Functions 201</p> <p style="MARGIN: 0px" align="left" text-align="left">5.5.1 Zeros of Functions–fzero and roots/poly 202</p> <p style="MARGIN: 0px" align="left" text-align="left">5.5.2 Numerical Integration–quadl and dblquad 207</p> <p style="MARGIN: 0px" align="left" text-align="left">5.5.3 Numerical Solutions of Ordinary Differential Equations–ode45 212</p> <p style="MARGIN: 0px" align="left" text-align="left">5.5.4 Numerical Solutions of Ordinary Differential Equations–bvp4c 217</p> <p style="MARGIN: 0px" align="left" text-align="left">5.5.5 Numerical Solutions of Delay Differential Equations–dde23 231</p> <p style="MARGIN: 0px" align="left" text-align="left">5.5.6 Numerical Solutions of One-Dimensional Parabolic—Elliptic Partial Differential Equations–pdepe 233</p> <p style="MARGIN: 0px" align="left" text-align="left">5.5.7 Local Minimum of a Function–fminbnd 235</p> <p style="MARGIN: 0px" align="left" text-align="left">5.5.8 Numerical Solutions of Nonlinear Equations–fsolve 238</p> <p style="MARGIN: 0px" align="left" text-align="left">5.6 Symbolic Solutions and Converting Symbolic Expressions into Functions 240</p> <p style="MARGIN: 0px" align="left" text-align="left">5.7 Summary of Functions Introduced in Chapter 5 246</p> <p style="MARGIN: 0px" align="left" text-align="left">Exercises 247</p> <p style="MARGIN: 0px" align="left" text-align="left"> </p> <p style="MARGIN: 0px" align="left" text-align="left">6 2D Graphics 265</p> <p style="MARGIN: 0px" align="left" text-align="left"> Edward B. Magrab</p> <p style="MARGIN: 0px" align="left" text-align="left">6.1 Introduction: Graphics Management 266</p> <p style="MARGIN: 0px" align="left" text-align="left">6.2 Basic 2D Plotting Commands 269</p> <p style="MARGIN: 0px" align="left" text-align="left">6.2.1 Introduction 269</p> <p style="MARGIN: 0px" align="left" text-align="left">6.2.2 Changing a Graph’s Overall Appearance 281</p> <p style="MARGIN: 0px" align="left" text-align="left">6.2.3 Special Purpose Graphs 281</p> <p style="MARGIN: 0px" align="left" text-align="left">6.2.4 Reading, Displaying, and Manipulating Digital Images 288</p> <p style="MARGIN: 0px" align="left" text-align="left">6.3 Graph Annotation and Enhancement 290</p> <p style="MARGIN: 0px" align="left" text-align="left">6.3.1 Introduction 290</p> <p style="MARGIN: 0px" align="left" text-align="left">6.3.2 Axes and Curve Labels, Figure Titles, Legends, and Text Placement 290</p> <p style="MARGIN: 0px" align="left" text-align="left">6.3.3 Filling Regions 294</p> <p style="MARGIN: 0px" align="left" text-align="left">6.3.4 Greek Letters, Mathematical Symbols, Subscripts, and Superscripts 297</p> <p style="MARGIN: 0px" align="left" text-align="left">6.3.5 Altering the Attributes of Axes, Curves,Text, and Legends 300</p> <p style="MARGIN: 0px" align="left" text-align="left">6.3.6 Positioning One Figure Inside Another Figure 304</p> <p style="MARGIN: 0px" align="left" text-align="left">6.3.7 Interactive Plotting Tools 306</p> <p style="MARGIN: 0px" align="left" text-align="left">6.3.8 Animation 307</p> <p style="MARGIN: 0px" align="left" text-align="left">6.4 Examples 310</p> <p style="MARGIN: 0px" align="left" text-align="left">6.5 Summary of Functions Introduced in Chapter 6 319</p> <p style="MARGIN: 0px" align="left" text-align="left">Exercises 320</p> <p style="MARGIN: 0px" align="left" text-align="left"> </p> <p style="MARGIN: 0px" align="left" text-align="left">7 3D Graphics 338</p> <p style="MARGIN: 0px" align="left" text-align="left">Edward B. Magrab</p> <p style="MARGIN: 0px" align="left" text-align="left">7.1 Lines in 3D 338</p> <p style="MARGIN: 0px" align="left" text-align="left">7.2 Surfaces 341</p> <p style="MARGIN: 0px" align="left" text-align="left">7.3 Summary of Functions Introduced in Chapter 7 369</p> <p style="MARGIN: 0px" align="left" text-align="left">Exercises 370</p> <p style="MARGIN: 0px" align="left" text-align="left"> </p> <p style="MARGIN: 0px" align="left" text-align="left">8 Engineering Statistics 377</p> <p style="MARGIN: 0px" align="left" text-align="left">Edward B. Magrab</p> <p style="MARGIN: 0px" align="left" text-align="left">8.1 Descriptive Statistical Quantities 377</p> <p style="MARGIN: 0px" align="left" text-align="left">8.2 Probability Distributions 383</p> <p style="MARGIN: 0px" align="left" text-align="left">8.2.1 Discrete Distributions 383</p> <p style="MARGIN: 0px" align="left" text-align="left">8.2.2 Continuous Distributions 387</p> <p style="MARGIN: 0px" align="left" text-align="left">8.3 Confidence Intervals 397</p> <p style="MARGIN: 0px" align="left" text-align="left">8.4 Hypothesis Testing 401</p> <p style="MARGIN: 0px" align="left" text-align="left">8.5 Linear Regression 404</p> <p style="MARGIN: 0px" align="left" text-align="left">8.5.1 Simple Linear Regression 404</p> <p style="MARGIN: 0px" align="left" text-align="left">8.5.2 Multiple Linear Regression 408</p> <p style="MARGIN: 0px" align="left" text-align="left">8.6 Design of Experiments 415</p> <p style="MARGIN: 0px" align="left" text-align="left">8.6.1 Single-Factor Experiments: Analysis of Variance 415</p> <p style="MARGIN: 0px" align="left" text-align="left">8.6.2 Multiple-Factor Factorial Experiments 419</p> <p style="MARGIN: 0px" align="left" text-align="left">8.7 Summary of Functions Introduced in Chapter 8 435</p> <p style="MARGIN: 0px" align="left" text-align="left">Exercises 436</p> <p style="MARGIN: 0px" align="left" text-align="left"> </p> <p style="MARGIN: 0px" align="left" text-align="left">9 Dynamics and Vibrations 445</p> <p style="MARGIN: 0px" align="left" text-align="left">Balakumar Balachandran</p> <p style="MARGIN: 0px" align="left" text-align="left">9.1 Dynamics of Particles and Rigid Bodies 446</p> <p style="MARGIN: 0px" align="left" text-align="left">9.1.1 Planar Pendulum 446</p> <p style="MARGIN: 0px" align="left" text-align="left">9.1.2 Orbital Motions 447</p> <p style="MARGIN: 0px" align="left" text-align="left">9.1.3 Principal Moments of Inertia 450</p> <p style="MARGIN: 0px" align="left" text-align="left">9.1.4 Stability of a Rigid Body 451</p> <p style="MARGIN: 0px" align="left" text-align="left">9.2 Single-Degree-of-Freedom Vibratory Systems 454</p> <p style="MARGIN: 0px" align="left" text-align="left">9.2.1 Introduction 454</p> <p style="MARGIN: 0px" align="left" text-align="left">9.2.2 Linear Systems: Free Oscillations 456</p> <p style="MARGIN: 0px" align="left" text-align="left">9.2.3 Linear Systems: Forced Oscillations 462</p> <p style="MARGIN: 0px" align="left" text-align="left">9.2.4 Nonlinear Systems: Free Oscillations 469</p> <p style="MARGIN: 0px" align="left" text-align="left">9.2.5 Nonlinear Systems: Forced Oscillations 478</p> <p style="MARGIN: 0px" align="left" text-align="left">9.3 Systems with Multiple Degrees of Freedom 481</p> <p style="MARGIN: 0px" align="left" text-align="left">9.3.1 Two-Degree-of-Freedom Systems: Free and Forced Oscillations 481</p> <p style="MARGIN: 0px" align="left" text-align="left">9.3.2 Natural Frequencies and Mode Shapes 495</p> <p style="MARGIN: 0px" align="left" text-align="left">9.4 Free and Forced Vibrations of Euler—Bernoulli and Timoshenko Beams 499</p> <p style="MARGIN: 0px" align="left" text-align="left">9.4.1 Natural Frequencies and Mode Shapes of Euler—Bernoulli and Timoshenko Beams 499</p> <p style="MARGIN: 0px" align="left" text-align="left">9.4.2 Forced Oscillations of Euler—Bernoulli Beams 509</p> <p style="MARGIN: 0px" align="left" text-align="left">9.5 Summary of Functions Introduced in Chapter 9 Exercises 513</p> <p style="MARGIN: 0px" align="left" text-align="left">Exercises 514</p> <p style="MARGIN: 0px" align="left" text-align="left"> </p> <p style="MARGIN: 0px" align="left" text-align="left">10 Control Systems 524</p> <p style="MARGIN: 0px" align="left" text-align="left">Gregory C. Walsh</p> <p style="MARGIN: 0px" align="left" text-align="left">10.1 Introduction to Control System Design 525</p> <p style="MARGIN: 0px" align="left" text-align="left">10.1.1 Tools for Controller Design 527</p> <p style="MARGIN: 0px" align="left" text-align="left">10.1.2 Naming and File Conventions 528</p> <p style="MARGIN: 0px" align="left" text-align="left">10.2 Representation of Systems in MATLAB 528</p> <p style="MARGIN: 0px" align="left" text-align="left">10.2.1 State—Space Models 530</p> <p style="MARGIN: 0px" align="left" text-align="left">10.2.2 Transfer-Function Representation 535</p> <p style="MARGIN: 0px" align="left" text-align="left">10.2.3 Discrete-Time Models 538</p> <p style="MARGIN: 0px" align="left" text-align="left">10.2.4 Block Diagrams and SIMULINK 542</p> <p style="MARGIN: 0px" align="left" text-align="left">10.2.5 Conversion Between Representations 546</p> <p style="MARGIN: 0px" align="left" text-align="left">10.3 Response of Systems 547</p> <p style="MARGIN: 0px" align="left" text-align="left">10.3.1 Estimating Response from Systems 548</p> <p style="MARGIN: 0px" align="left" text-align="left">10.3.2 Estimating Response from Poles and Zeros 551</p> <p style="MARGIN: 0px" align="left" text-align="left">10.3.3 Estimating Systems from Response 558</p> <p style="MARGIN: 0px" align="left" text-align="left">10.4 Design Tools 560</p> <p style="MARGIN: 0px" align="left" text-align="left">10.4.1 Design Criteria 561</p> <p style="MARGIN: 0px" align="left" text-align="left">10.4.2 Design Tools 564</p> <p style="MARGIN: 0px" align="left" text-align="left">10.5 Design Examples 573</p> <p style="MARGIN: 0px" align="left" text-align="left">10.5.1 Notch Control of a Flexible Pointer 574</p> <p style="MARGIN: 0px" align="left" text-align="left">10.5.2 PID Control of a Magnetic Suspension System 582</p> <p style="MARGIN: 0px" align="left" text-align="left">10.5.3 Lead Control of an Inverted Pendulum 589</p> <p style="MARGIN: 0px" align="left" text-align="left">10.5.4 Control of a Magnetically Suspended Flywheel 596</p> <p style="MARGIN: 0px" align="left" text-align="left">10.6 Summary of Functions Introduced in Chapter 10 605</p> <p style="MARGIN: 0px" align="left" text-align="left">Exercises 606</p> <p style="MARGIN: 0px" align="left" text-align="left"> </p> <p style="MARGIN: 0px" align="left" text-align="left">11 Fluid Mechanics 614</p> <p style="MARGIN: 0px" align="left" text-align="left">James H. Duncan</p> <p style="MARGIN: 0px" align="left" text-align="left">11.1 Hydrostatics 614</p> <p style="MARGIN: 0px" align="left" text-align="left">11.1.1 Pressure Distribution in the Standard Atmosphere 615</p> <p style="MARGIN: 0px" align="left" text-align="left">11.1.2 Force on a Planar Gate 616</p> <p style="MARGIN: 0px" align="left" text-align="left">11.2 Internal Viscous Flow 621</p> <p style="MARGIN: 0px" align="left" text-align="left">11.2.1 Laminar Flow in a Horizontal Pipe with Circular Cross Section 621</p> <p style="MARGIN: 0px" align="left" text-align="left">11.2.2 Downward Turbulent Flow in a Vertical Pipe 622</p> <p style="MARGIN: 0px" align="left" text-align="left">11.2.3 Three Connected Reservoirs 624</p> <p style="MARGIN: 0px" align="left" text-align="left">11.3 External Flow 626</p> <p style="MARGIN: 0px" align="left" text-align="left">11.3.1 Boundary Layer on an Infinite Plate Started Suddenly from Rest 626</p> <p style="MARGIN: 0px" align="left" text-align="left">11.3.2 Blasius Boundary Layer 628</p> <p style="MARGIN: 0px" align="left" text-align="left">11.3.3 Potential Flow 631</p> <p style="MARGIN: 0px" align="left" text-align="left">11.3.4 Joukowski Airfoils 636</p> <p style="MARGIN: 0px" align="left" text-align="left">11.4 Open Channel Flow 641</p> <p style="MARGIN: 0px" align="left" text-align="left">11.5 Biological Flows 646</p> <p style="MARGIN: 0px" align="left" text-align="left">Exercises 648</p> <p style="MARGIN: 0px" align="left" text-align="left"> </p> <p style="MARGIN: 0px" align="left" text-align="left">12 Heat Transfer 659</p> <p style="MARGIN: 0px" align="left" text-align="left">Keith E. Herold</p> <p style="MARGIN: 0px" align="left" text-align="left">12.1 Conduction Heat Transfer 660</p> <p style="MARGIN: 0px" align="left" text-align="left">12.1.1 Transient Heat Conduction in a Semi-Infinite Slab with Surface Convection 660</p> <p style="MARGIN: 0px" align="left" text-align="left">12.1.2 Transient Heat Conduction in an Infinite Solid Cylinder with Convection 662</p> <p style="MARGIN: 0px" align="left" text-align="left">12.1.3 Transient One-Dimensional Conduction with a Heat Source 664</p> <p style="MARGIN: 0px" align="left" text-align="left">12.2 Convection Heat Transfer 668</p> <p style="MARGIN: 0px" align="left" text-align="left">12.2.1 Internal Flow Convection: Pipe Flow 668</p> <p style="MARGIN: 0px" align="left" text-align="left">12.2.2 Thermal Boundary Layer on a Flat Plate: Similarity Solution 672</p> <p style="MARGIN: 0px" align="left" text-align="left">12.2.3 Natural Convection Similarity Solution 677</p> <p style="MARGIN: 0px" align="left" text-align="left">12.3 Radiation Heat Transfer 682</p> <p style="MARGIN: 0px" align="left" text-align="left">12.3.1 Radiation View Factor: Differential Area to Arbitrary Rectangle in Parallel Planes 682</p> <p style="MARGIN: 0px" align="left" text-align="left">12.3.2 View Factor Between Two Rectangles in Parallel Planes 685</p> <p style="MARGIN: 0px" align="left" text-align="left">12.3.3 Enclosure Radiation with Diffuse Gray Walls 687</p> <p style="MARGIN: 0px" align="left" text-align="left">12.3.4 Transient Radiation Heating of a Plate in a Furnace 690</p> <p style="MARGIN: 0px" align="left" text-align="left">Exercises 692</p> <p style="MARGIN: 0px" align="left" text-align="left"> </p> <p style="MARGIN: 0px" align="left" text-align="left">13 Optimization 702</p> <p style="MARGIN: 0px" align="left" text-align="left">Shapour Azarm</p> <p style="MARGIN: 0px" align="left" text-align="left">13.1 Definition, Formulation, and Graphical Solution 703</p> <p style="MARGIN: 0px" align="left" text-align="left">13.1.1 Introduction 703</p> <p style="MARGIN: 0px" align="left" text-align="left">13.1.2 Graphical Solution 703</p> <p style="MARGIN: 0px" align="left" text-align="left">13.2 Linear Programming 706</p> <p style="MARGIN: 0px" align="left" text-align="left">13.3 Binary Integer Programming 709</p> <p style="MARGIN: 0px"> 13.4 Nonlinear Programming: Unconstrained and Curve Fitting 710</p> <p style="MARGIN: 0px" align="left" text-align="left">13.4.1 Unconstrained Optimization 710</p> <p style="MARGIN: 0px" align="left" text-align="left">13.4.2 Curve Fitting: One Independent Variable 713</p> <p style="MARGIN: 0px" align="left" text-align="left">13.4.3 Curve Fitting: Several Independent Variables 715</p> <p style="MARGIN: 0px" align="left" text-align="left">13.5 Nonlinear Programming: Constrained Single Objective 719</p> <p style="MARGIN: 0px" align="left" text-align="left">13.5.1 Constrained Single-Variable Method 719</p> <p style="MARGIN: 0px" align="left" text-align="left">13.5.2 Constrained Multivariable Method 721</p> <p style="MARGIN: 0px" align="left" text-align="left">13.5.3 Quadratic Programming 730</p> <p style="MARGIN: 0px" align="left" text-align="left">13.5.4 Semi-Infinitely Constrained Method 732</p> <p style="MARGIN: 0px" align="left" text-align="left">13.6 Multiobjective Optimization 736</p> <p style="MARGIN: 0px" align="left" text-align="left">13.7 Genetic Algorithm-Based Optimization 742</p> <p style="MARGIN: 0px" align="left" text-align="left">13.8 Summary of Functions Introduced in Chapter 13 751</p> <p style="MARGIN: 0px" align="left" text-align="left">Exercises 752</p> <p style="MARGIN: 0px" align="left" text-align="left"> </p> <p style="MARGIN: 0px" align="left" text-align="left">14 Biological Systems: Transport of Heat, Mass, and Electric Charge 769</p> <p style="MARGIN: 0px" align="left" text-align="left">Keith E. Herold</p> <p style="MARGIN: 0px" align="left" text-align="left">14.1 Heat Transfer in Biological Systems 770</p> <p style="MARGIN: 0px" align="left" text-align="left">14.1.1 Heat Transfer in Perfused Tissue 770</p> <p style="MARGIN: 0px" align="left" text-align="left">14.1.2 Thermal Conductivity Determination 773</p> <p style="MARGIN: 0px" align="left" text-align="left">14.2 Mass Transfer in Biological Systems 775</p> <p style="MARGIN: 0px" align="left" text-align="left">14.2.1 Bicarbonate Buffer System 775</p> <p style="MARGIN: 0px" align="left" text-align="left">14.2.2 Carbon Dioxide Transport in Blood 778</p> <p style="MARGIN: 0px" align="left" text-align="left">14.2.3 Oxygen Transport in Blood 779</p> <p style="MARGIN: 0px" align="left" text-align="left">14.2.4 Perfusion Bioreactor 782</p> <p style="MARGIN: 0px" align="left" text-align="left">14.2.5 Supply of Oxygen to a Spherical Tumor 786</p> <p style="MARGIN: 0px" align="left" text-align="left">14.2.6 Krogh Cylinder Model of Tissue Oxygenation 789</p> <p style="MARGIN: 0px" align="left" text-align="left">14.3 Charge Transport in Biological Systems 796</p> <p style="MARGIN: 0px" align="left" text-align="left">14.3.1 Hodgkin—Huxley Neuron Model 796</p> <p style="MARGIN: 0px" align="left" text-align="left">14.3.2 Hodgkin—Huxley Gating Parameters 797</p> <p style="MARGIN: 0px" align="left" text-align="left">14.3.3 Hodgkin—Huxley Model with Step Function Input 802</p> <p style="MARGIN: 0px" align="left" text-align="left">14.3.4 Action Potential 804</p> <p style="MARGIN: 0px" align="left" text-align="left">Exercises 807</p> <p style="MARGIN: 0px" align="left" text-align="left">Index</p>