ISE Applied Numerical Methods with Python for Engineers and Scientists
- Length: 672 pages
- Edition: 1
- Language: English
- Publisher: McGraw Hill
- Publication Date: 2021-11-29
- ISBN-10: 1265017964
- ISBN-13: 9781265017965
- Sales Rank: #1171977 (See Top 100 Books)
“When we first learned to use computers as students in the 1960s, Fortran was the language of choice for most engineering and scientific computations. Over the ensuing half century, numerous other languages have proven useful for implementing the numerical calculations that are so valuable to our research and teaching. Along with a succession of improved Fortran versions, other languages such as Algol, Basic, Pascal, and C/C++ have all found their way into our computational toolbox. The basic content, organization, and pedagogy of this book is like our other numerical methods textbooks. In particular, a conversational writing style is intentionally maintained in order to make the book easier to read. This book tries to speak directly to the reader and is designed in part to be a tool for self-teaching. As such, we also believe it will have value outside the classroom for professionals desiring to gain proficiency in both numerical methods and Python”
Table of Contents and Preface Cover Page Title Page Copyright Information Dedication About the Authors Contents Preface Additional Features Acknowledgments Connect Chapter 1: Mathematical Modeling, Numerical Methods, and Problem Solving Part One: Modeling, Computers, and Error Analysis 1.1 Motivation 1.2 Part Organization Chapter 1 Introduction 1.1 A Simple Mathematical Model 1.2 Conservation Laws in Engineering and Science 1.3 Numerical Methods Covered in This Book 1.4 Case Study It’s A Real Drag Problems Chapter 2: Python Fundamentals Chapter 2 Introduction 2.1 The Spyder/Ipython Environment 2.2 Assignment 2.2.1 Scalars 2.2.2 Arrays, Vectors, and Matrices 2.2.3 The : Subscript and Subscript Ranges 2.2.4 Thearange, linspace, and logspace Functions 2.2.5 Character Strings 2.3 Mathematical Operations 2.4 USE of Built-in Functions 2.5 Graphics 2.6 Other Resources 2.7 Case Study Exploratory Data Analysis Problems Chapter 3: Programming in Python Chapter 3 Introduction 3.1 Python Script Files 3.1.1 Python Scripts 3.1.2 Python Functions 3.1.3 Variable Scope 3.2 Input–Output 3.3 Structured Programming 3.3.1 Decisions 3.3.2 More on Arguments 3.3.3 Loops 3.4 Nesting and Indentation 3.5 Python Functions With Function Name Arguments 3.5.1 Lambda Functions 3.5.2 Function Functions 3.5.3 Passing Parameters 3.6 Case Study Bungee Jumper Velocity Problems Chapter 4: Roundoff and Truncation Errors Chapter 4 Introduction 4.1 Errors 4.1.1 Accuracy and Precision 4.1.2 Error Definitions 4.1.3 Computer Algorithm for Iterative Calculations 4.2 Roundoff Errors 4.2.1 Computer Number Representation 4.2.2 Arithmetic Manipulations of Computer Numbers 4.3 Truncation Errors 4.3.1 The Taylor Series 4.3.2 The Remainder for the Taylor Series Expansion 4.3.3 Using the Taylor Series to Estimate Truncation Errors 4.3.4 Numerical Differentiation 4.4 Total Numerical Error 4.4.1 Error Analysis of Numerical Differentiation 4.4.2 Control of Numerical Errors 4.5 Blunders, Model Errors, and Data Uncertainty 4.5.1 Blunders 4.5.2 Model Errors 4.5.3 Data Uncertainty Problems Chapter 5: Roots: Bracketing Methods Part Two: Roots and Optimization 2.1 Overview 2.2 Part Organization Chapter 5 Introduction 5.1 Roots in engineering and Science 5.2 Graphical And Trial-And-Error Methods 5.3 Bracketing Methods and Initial Guesses 5.3.1 Incremental Search 5.4 Bisection 5.4.1 Python Functions for Bisection 5.5 False Position 5.6 Case Study Greenhouse Gases and Rainwater Problems Chapter 6: Roots: Open Methods Chapter 6 Introduction 6.1 Fixed-Point Iteration 6.2 The Wegstein Method 6.3 Newton-Raphson 6.3.1 Python Function: newtraph 6.4 Secant Methods 6.5 Brent’s Method 6.5.1 Inverse Quadratic Interpolation 6.5.2 Brent’s Method Algorithm 6.6 Python Scipy Function: brentq 6.7 Polynomials 6.8 Case Study Pipe Friction Problems Chapter 7: Optimization Chapter 7 Introduction 7.1 Introduction and Background 7.2 One-Dimensional Optimization 7.2.1 Golden-Section Search 7.2.2 Parabolic Interpolation 7.2.3 Python’s SciPy Function: minimize_scalar 7.3 Multidimensional Optimization 7.3.1 Python SciPy minimize Function 7.4 Case Study Equilibrium and Minimum Potential Energy Problems Chapter 8: Linear Algebraic Equations and Matrices Part Three: Linear Systems 3.1 Overview 3.2 Part Organization Chapter 8 Introduction 8.1 Matrix Algebra Overview 8.1.1 Matrix Notation 8.1.2 Matrix Operating Rules 8.1.3 Representing Linear Algebraic Equations in Matrix Form 8.2 Solving Linear Algebraic Equations with Matlab 8.3 Case Study Currents and Voltages in Circuits Problems Chapter 9: Gauss Elimination Chapter 9 Introduction 9.1 Solving Small Numbers of Equations 9.1.1 The Graphical Method 9.1.2 Determinants and Cramer’s Rule 9.1.3 Elimination of Unknowns 9.2 Naive Gauss Elimination Section 9.2.1 Python function: gaussnaive 9.2.2 Operation Counting 9.3 Pivoting 9.3.1 Python Function: GaussPivot 9.3.2 Determinant Evaluation with Gauss Elimination 9.4 Tridiagonal Systems 9.4.1 Python Function: tridiag 9.5 Case Study Model Of A Heated Rod Problems Chapter 10: LU Factorization Chapter 10 Introduction 10.1 Overview of LU Factorization 10.2 Gauss Elimination as LU Factorization 10.2.1 LU Factorization with Pivoting 10.2.2 LU Factorization with Python 10.3 Cholesky Factorization 10.3.1 Python Function: scipy.linalg.cholesky 10.4 The Python np.linalg.solve Function Problems Chapter 11: Matrix Inverse and Condition Chapter 11 Introduction 11.1 The Matrix Inverse 11.1.1 Calculating the Inverse 11.1.2 Stimulus-Response Computations 11.2 Error Analysis and System Condition 11.2.1 Vector and Matrix Norms 11.2.2 Matrix Condition Number 11.2.3 Norms and Condition Number with Python 11.3 Case Study Indoor Air Pollution Problems Chapter 12: Iterative Methods Chapter 12 Introduction 12.1 Linear Systems: Gauss-Seidel 12.1.1 Convergence and Diagonal Dominance 12.1.2 Python Function: gaussseidel 12.1.3 Relaxation 12.2 Gauss Elimination as LU Factorization 12.2.1 Successive Substitution 12.2.2 Newton-Raphson 12.2.3 Python SciPy Function: root 12.3 Case Study Chemical Reactions Problems Chapter 13: Eigenvalues Chapter 13 Introduction 13.1 Eigenvalues And Eigenvectors—The Basics 13.2 Applications Of Eigenvalues And Eigenvectors 13.2.1 First-Order Equivalents to Second-Order Differential Equations 13.2.2 Role of Eigenvalues and Eigenvectors in the Solution of Differential Equations 13.2.3 Eigenvalues and Ordinary Differential Equations with Pure Oscillations 13.3 Physical Settings—Mass-Spring Systems 13.4 The Power Method 13.5 Python Numpy Functions: eig And eigvals 13.6 Case Study Eigenvalues and Earthquakes Problems Chapter 14: Straight-Line Linear Regression Part Four: Curve Fitting 4.1 Overview 4.2 Part Organization Chapter 14 Introduction 14.1 Statistics Review 14.1.1 Descriptive Statistics 14.1.2 The Normal Distribution 14.1.3 Descriptive Statistics Using Python 14.2 Random Numbers and Simulation 14.2.1 Random Numbers from the Uniform Distribution 14.2.2 Random Numbers from the Normal Distribution 14.3 Straight-Line Least Squares Regression 14.3.1 Criteria for a “Best” Fit 14.3.2 Least-Squares Fit of a Straight Line 14.3.3 A “Desert Island” Method to Sketch a Straight Line 14.3.4 Quantification of the Error in Linear Regression 14.4 Linearization of Nonlinear Relationships 14.4.1 General Comments on Straight-Line Linear Regression 14.5 Computer Applications 14.5.1 Python function: strlinregr 14.5.2 Python NumPy functions: polyfit and polyval 14.6 Case Study Enzyme Kinetics Problems Chapter 15: General Linear and Nonlinear Regression Chapter 15 Introduction 15.1 Polynomial Regression 15.2 Multiple Linear Regression 15.3 General Linear Least-Squares Regression 15.4 Model Building And Selection In Regression 15.5 Nonlinear Regression 15.6 Case Study Fitting Experimental Data Problems Chapter 16: Fourier Analysis Chapter 16 Introduction 16.1 Curve Fitting with Sinusoidal Functions 16.1.1 Least-Squares Fit of a Sinusoid 16.2 Continuous Fourier Series 16.3 Frequency and Time Domains 16.4 Fourier Integral and Transform 16.5 Discrete Fourier Transform (Dft) 16.5.1 Fast Fourier Transform (FFT) 16.5.2 Python SciPy Function: fft 16.6 The Power Spectrum 16.7 Case Study SUNSPOTS Problems Chapter 17: Polynomial Interpolation Chapter 17 Introduction 17.1 Introduction to Interpolation 17.1.1 Determining Polynomial Coefficients 17.1.2 Python NumPy Functions: polyfit and polyval 17.2 Newton Interpolating Polynomial 17.2.1 Linear Interpolation 17.2.2 Quadratic Interpolation 17.2.3 General Form of Newton’s Interpolating Polynomials 17.2.4 Python Function: Newtint 17.3 Lagrange Interpolating Polynomial 17.3.1 Python Function: Lagrange 17.4 Inverse Interpolation 17.5 Extrapolation and Oscillations 17.5.1 Extrapolation 17.5.2 Oscillations Problems Chapter 18: Splines and Piecewise Interpolation Chapter 18 Introduction 18.1 Introduction to Splines 18.2 Linear Splines 18.2.1 Table Lookup 18.3 Quadratic Splines 18.4 Cubic Splines 18.4.1 Derivation of Cubic Splines 18.4.2 End Conditions 18.5 Piecewise Interpolation in Python 18.5.1 Python SciPy interpolate Function: CubicSpline 18.5.2 Additional Python SciPy Interpolate Functions: interp1d and PChipInterpolator 18.6 Multidimensional Interpolation 18.6.1 Bilinear Interpolation 18.6.2 Multidimensional Interpolation in Python 18.7 Smoothing of Data Series 18.7.1 Cubic Spline Smoothing 18.7.2 LOESS Smoothing 18.8 Case Study Heat Transfer in a Lake Problems Chapter 19: Numerical Integration Formulas Part Five: Integration and Differentiation 5.1 Overview 5.2 Part Organization Chapter 19 Introduction 19.1 Introduction and Background 19.1.1 What Is Integration? 19.1.2 Integration in Engineering and Science 19.2 Newton-Cotes Formulas 19.3 The Trapezoidal Rule 19.3.1 Error of the Trapezoidal Rule 19.3.2 The Composite Trapezoidal Rule 19.3.3 Python Function: trap 19.4 Simpson’s Rules 19.4.1 Simpson’s 1/3 Rule 19.4.2 The Composite Simpson’s 1/3 Rule 19.4.3 Simpson’s 3/8 Rule 19.5 Higher-Order Newton-Cotes Formulas 19.6 Integration with Unequal Segments 19.6.1 Python Function: trapuneq 19.6.2 Python Functions: trapz and trap_cumulative 19.7 Open Methods 19.8 Multiple Integrals 19.8.1 Python Functions: dblquad and tplquad 19.9 Case Study Computing Work with Numerical Integration Problems Chapter 20: Numerical Integration of Functions Chapter 20 Introduction 20.1 Introduction 20.2 Romberg Integration 20.2.1 Richardson Extrapolation 20.2.2 The Romberg Integration Algorithm 20.3 Gauss Quadrature 20.3.1 Method of Undetermined Coefficients 20.3.2 Derivation of the Two-Point Gauss-Legendre Formula 20.3.3 Higher-Point Formulas 20.4 Adaptive Quadrature 20.4.1 Python function: quadadapt 20.4.2 Python SciPy integrate Function: quad 20.5 Case Study Root-Mean-Square Current Problems Chapter 21: Numerical Differentiation Chapter 21 Introduction 21.1 Introduction and Background 21.1.1 What Is Differentiation? 21.1.2 Differentiation in Engineering and Science 21.2 High-Accuracy Differentiation Formulas 21.3 Richardson Extrapolation 21.4 Derivatives of Unequally Spaced Data 21.5 Derivatives and Integrals for Data with Errors 21.6 Partial Derivatives 21.7 Numerical Differentiation with Python 21.7.1 Python NumPy Function: diff 21.7.2 Python NumPy Function: gradient 21.8 Case Study Visualizing Fields Problems Chapter 22: Initial-Value Problems Part Six: Ordinary Differential Equations 6.1 Overview 6.2 Part Organization Chapter 22 Introduction 22.1 Overview 22.2 Euler’s Method 22.2.1 Error Analysis for Euler’s Method 22.2.2 Stability of Euler’s Method 22.2.3 Python Function: eulode 22.3 Improvements of Euler’s Method 22.3.1 Heun’s Method 22.3.2 The Midpoint Method 22.4 Runge-Kutta Methods 22.4.1 Second-Order Runge-Kutta Methods 22.4.2 Classical Fourth-Order Runge-Kutta Method 22.5 Systems of Equations 22.5.1 Euler’s Method 22.5.2 Runge-Kutta Methods 22.5.3 Python Function: rk4sys 22.6 Case Study Predator-Prey Models and Chaos Problems Chapter 23: Adaptive Methods and Stiff Systems Chapter 23 Introduction 23.1 Adaptive Runge-Kutta Methods 23.1.1 A Python Function for the Runge-Kutta-Fehlberg 4/5 Algorithm: rkf45 23.1.2 Python Function to Solve IVP ODEs: solve_ivp from SciPy integrate 23.1.3 Events 23.2 Multistep Methods 23.2.1 The Non-Self-Starting Heun Method 23.2.2 Error Estimates 23.3 Stiffness 23.3.1 Python ODE Solvers for Stiff Systems 23.4 Python Application: Bungee Jumper with Cord 23.5 Case Study Pliny’s Intermittent Fountain Problems Chapter 24: Boundary-Value Problems Chapter 24 Introduction 24.1 Introduction and Background 24.1.1 What Are Boundary-Value Problems? 24.1.2 Boundary-Value Problems in Engineering and Science 24.2 The Shooting Method 24.2.1 Derivative Boundary Conditions 24.2.2 The Shooting Method for Nonlinear ODEs 24.3 Finite-Difference Methods 24.3.1 Derivative Boundary Conditions 24.3.2 Finite-Difference Approaches for Nonlinear ODEs 24.4 Python Function: solve_bvp Problems Appendix A: Matplotlib Appendix A: Introduction A.1 The Basics of Creating a Simple Plot A.2 Customizing and Adding Features to Line Plots A.3 Statistical Plots A.3.1 Line/Marker Plots with Error Bars A.3.2 Histograms A.3.3 Box Plots A.4 Other Plots of Interest A.5 Including Multiple Plots in a Single Figure, Axes Objects A.6 Plotting in 3D: Contour and Surface Plots Epilogue Appendix B: Cubic Spline Smoothing Appendix B: Introduction References Appendix C: Python Built-In Keywords: Functions, Methods, Operators, Types Appendix C: Introduction Appendix D: Python Functions and Scripts Presented in the Text Appendix D: Introduction Bibliography Index Accessibility Content: Text Alternatives for Images Figure 1.3 Text Alternative (Chapter 1) Figure 1.4 Text Alternative (Chapter 1) Figure 1.5 Text Alternative (Chapter 1) Set of Four Cylindrical Reactors Connected Text Alternative (Chapter 1) Figure 1.6 Text Alternative (Chapter 1) Figure 1.7 Text Alternative (Chapter 1) Figure P1.9 Text Alternative (Chapter 1) Figure P1.11 Text Alternative (Chapter 1) Figure P1.13 Text Alternative (Chapter 1) Figure P1.16 Text Alternative (Chapter 1) Figure P1.23 Text Alternative (Chapter 1) Figure P1.25 Text Alternative (Chapter 1) Figure P1.26 Text Alternative (Chapter 1) Screengrab of Editor Window Shows Code Text Alternative (Chapter 2) Plot of Time (in Seconds) Against Velocity Text Alternative (Chapter 2) Plot of Time (in Seconds) Against Velocity Text Alternative (Chapter 2) Plot of Time (in Seconds) Against Velocity Text Alternative (Chapter 2) Plot of Time (in Seconds) Against Velocity Text Alternative (Chapter 2) Plot of Time (in Seconds) Against Velocity Text Alternative (Chapter 2) Histogram Plot Shows Merged Vertical Bars Text Alternative (Chapter 2) Plot of Measured Against Predicted Terminal Velocities Text Alternative (Chapter 2) Plot of Drag Coefficient Against Mass Shows 7 Text Alternative (Chapter 2) Figure P2.11 Text Alternative (Chapter 2) Figure P2.26 Text Alternative (Chapter 2) A Line Graph Shows an Irregularly Concave Down Text Alternative (Chapter 3) Figure 3.1 Text Alternative (Chapter 3) A Line Graph Shows a Regular Concave Down Curve Text Alternative (Chapter 3) A Graph is Visible Across First Quadrant While Text Alternative (Chapter 3) Figure P3.10 Text Alternative (Chapter 3) Figure 4.1 Text Alternative (Chapter 4) Figure 4.3 Text Alternative (Chapter 4) Figure 4.4 Text Alternative (Chapter 4) Chart Shows the Relative Values for Sign, Exponent Text Alternative (Chapter 4) Figure 4.7 Text Alternative (Chapter 4) Figure 4.8 Text Alternative (Chapter 4) Figure 4.9 Text Alternative (Chapter 4) Figure 4.10 Text Alternative (Chapter 4) Figure 4.11 Text Alternative (Chapter 4) Figure 4.12 Text Alternative (Chapter 4) Figure PT2.1 Text Alternative (Chapter 5) Graph of Mass (in Kilograms) Against Text Alternative (Chapter 5) Figure 5.1 Text Alternative (Chapter 5) Figure 5.2 Text Alternative (Chapter 5) Figure 5.3 Text Alternative (Chapter 5) A Continuous Curve with Multiple Crests Text Alternative (Chapter 5) Graph Shows a Parabolic Curve Opening Downwards Text Alternative (Chapter 5) Figure 5.5 Text Alternative (Chapter 5) Figure 5.6 Text Alternative (Chapter 5) Figure 5.9 Text Alternative (Chapter 5) Figure 5.10 Text Alternative (Chapter 5) Graph of Years Against Rain Water pH Shows Downward Text Alternative (Chapter 5) Figure P5.4 Text Alternative (Chapter 5) Figure P5.11 Text Alternative (Chapter 5) Figure P5.12 Text Alternative (Chapter 5) Figure P5.25 Text Alternative (Chapter 5) Figure 6.1 Text Alternative (Chapter 6) Figure 6.4 Text Alternative (Chapter 6) Figure 6.5 Text Alternative (Chapter 6) Figure 6.6 Text Alternative (Chapter 6) Figure 6.7 Text Alternative (Chapter 6) Figure 6.8 Text Alternative (Chapter 6) Figure 6.9 Text Alternative (Chapter 6) Figure 6.10 Text Alternative (Chapter 6) Figure 6.12 Text Alternative (Chapter 6) Figure 6.13 Text Alternative (Chapter 6) Graph of x Against y Shows a S-Shaped Curve Text Alternative (Chapter 6) Figure Graph of 1 Over Sqrt of f Against Right Hand Side Text Alternative (Chapter 6) Graph of Reynold's Number Against Fanning Friction Factor Text Alternative (Chapter 6) Figure P6.17 Text Alternative (Chapter 6) Figure P6.20 Text Alternative (Chapter 6) Figure P6.21 Text Alternative (Chapter 6) Figure P6.31 Text Alternative (Chapter 6) Figure P.36 Text Alternative (Chapter 6) Figure P6.38 Text Alternative (Chapter 6) Figure P6.39 Text Alternative (Chapter 6) Figure 7.1 Text Alternative (Chapter 7) Figure 7.2 Text Alternative (Chapter 7) Figure 7.3 Text Alternative (Chapter 7) Figure 7.4 Text Alternative (Chapter 7) Figure 7.6 Text Alternative (Chapter 7) Figure 7.8 Text Alternative (Chapter 7) Figure 7.9 Text Alternative (Chapter 7) Figure 7.10 Text Alternative (Chapter 7) Figure 7.12 Text Alternative (Chapter 7) Figure P7.15 Text Alternative (Chapter 7) Figure P7.16 Text Alternative (Chapter 7) Figure P7.28 Text Alternative (Chapter 7) Figure P7.31 Text Alternative (Chapter 7) Figure P7.34 Text Alternative (Chapter 7) Figure P7.35 Text Alternative (Chapter 7) Figure P7.36 Text Alternative (Chapter 7) Figure P7.37 Text Alternative (Chapter 7) Figure P7.39 Text Alternative (Chapter 7) Figure P7.40 Text Alternative (Chapter 7) Figure P7.41 Text Alternative (Chapter 7) Figure P7.44 Text Alternative (Chapter 7) Figure PT3.1 Text Alternative (Chapter 8) Figure 8.1 Text Alternative (Chapter 8) Figure 8.2 Text Alternative (Chapter 8) Figure 8.3 Text Alternative (Chapter 8) Figure 8.4 Text Alternative (Chapter 8) Figure 8.5 Text Alternative (Chapter 8) Figure 8.7 Text Alternative (Chapter 8) Figure 8.8 Text Alternative (Chapter 8) Figure 8.9 Text Alternative (Chapter 8) Figure P8.9 Text Alternative (Chapter 8) Figure P8.10 Text Alternative (Chapter 8) Figure P8.11 Text Alternative (Chapter 8) Figure P8.14 Text Alternative (Chapter 8) Figure P8.15 Text Alternative (Chapter 8) Figure 9.1 Text Alternative (Chapter 9) Figure 9.2 Text Alternative (Chapter 9) Figure 9.3 Text Alternative (Chapter 9) Figure 9.5 Text Alternative (Chapter 9) Figure 9.8 Text Alternative (Chapter 9) Figure 9.9 Text Alternative (Chapter 9) Figure P9.9 Text Alternative (Chapter 9) Figure P9.12 Text Alternative (Chapter 9) Figure P9.13 Text Alternative (Chapter 9) Figure P9.15 Text Alternative (Chapter 9) Figure 10.1 Text Alternative (Chapter 10) Figure 11.1 Text Alternative (Chapter 11) Figure 11.2 Text Alternative (Chapter 11) Figure P11.12 Text Alternative (Chapter 11) Figure P11.15 Text Alternative (Chapter 11) Figure P11.18 Text Alternative (Chapter 11) Figure P11.20 Text Alternative (Chapter 11) Figure P11.21 Text Alternative (Chapter 11) Figure 12.1 Text Alternative (Chapter 12) Figure 12.3 Text Alternative (Chapter 12) Figure P12.10 Text Alternative (Chapter 12) Figure P12.11 Text Alternative (Chapter 12) Figure 13.1 Text Alternative (Chapter 13) Figure 13.2 Text Alternative (Chapter 13) Graph of T Against Y Text Alternative (Chapter 13) Figure 13.3 Text Alternative (Chapter 13) Figure 13.4 Text Alternative (Chapter 13) Figure 13.5 Text Alternative (Chapter 13) Figure 13.6 Text Alternative (Chapter 13) Figure 13.7 Text Alternative (Chapter 13) Figure P13.5 Text Alternative (Chapter 13) Figure P13.6 Text Alternative (Chapter 13) Figure P13.7 Text Alternative (Chapter 13) Figure P13.8 Text Alternative (Chapter 13) Figure P13.12 Text Alternative (Chapter 13) Figure P13.14 Text Alternative (Chapter 13) Figure PT14.1 Text Alternative (Chapter 14) Figure 14.1 Text Alternative (Chapter 14) Figure 14.2 Text Alternative (Chapter 14) Scatter Plot Text Alternative (Chapter 14) Histogram of 8 Text Alternative (Chapter 14) Set of 3 Histograms Text Alternative (Chapter 14) Graph of Z Text Alternative (Chapter 14) Figure 14.3 Text Alternative (Chapter 14) Histogram of 8 Text Alternative (Chapter 14) Histogram of 8 Text Alternative (Chapter 14) A Shaded Histogram Text Alternative (Chapter 14) Figure 14.4 Text Alternative (Chapter 14) Figure 14.5 Text Alternative (Chapter 14) Figure 14.6 Text Alternative (Chapter 14) Figure 14.7 Text Alternative (Chapter 14) Scatter Plot Text Alternative (Chapter 14) Figure 14.9 Text Alternative (Chapter 14) Scatter Plot Text Alternative (Chapter 14) Figure 14.10 Text Alternative (Chapter 14) Figure 14.11 Text Alternative (Chapter 14) Figure 14.12 Text Alternative (Chapter 14) Figure 14.13 Text Alternative (Chapter 14) Figure 14.14 Text Alternative (Chapter 14) Set of 3 Plots Text Alternative (Chapter 14) Scatter Plot Text Alternative (Chapter 14) Graph of X Against Y Text Alternative (Chapter 14) Figure 14.16 Text Alternative (Chapter 14) Figure 14.17 Text Alternative (Chapter 14) Figure 14.18 Text Alternative (Chapter 14) Figure P14.39 Text Alternative (Chapter 14) Figure P14.40 Text Alternative (Chapter 14) Figure P14.41 Text Alternative (Chapter 14) Figure 15.1 Text Alternative (Chapter 15) Figure 15.3 Text Alternative (Chapter 15) Figure 15.4 Text Alternative (Chapter 15) Set of 2 Scatter Text Alternative (Chapter 15) Set of 2 Scatter Text Alternative (Chapter 15) Set of 2 Scatter Text Alternative (Chapter 15) Set of 3 Scatter Text Alternative (Chapter 15) Scatter Plot Text Alternative (Chapter 15) Figure 15.6 Text Alternative (Chapter 15) Figure 16.1 Text Alternative (Chapter 16) Figure 16.2 Text Alternative (Chapter 16) Figure 16.3 Text Alternative (Chapter 16) Figure 16.4 Text Alternative (Chapter 16) Figure 16.5 Text Alternative (Chapter 16) Figure 16.6 Text Alternative (Chapter 16) Figure 16.7 Text Alternative (Chapter 16) Figure 16.8 Text Alternative (Chapter 16) Figure 16.9 Text Alternative (Chapter 16) Figure 16.10 Text Alternative (Chapter 16) Figure 16.11 Text Alternative (Chapter 16) Figure 16.12 Text Alternative (Chapter 16) Figure 16.13 Text Alternative (Chapter 16) Figure 16.14 Text Alternative (Chapter 16) Figure 17.2 Text Alternative (Chapter 17) Figure 17.3 Text Alternative (Chapter 17) Figure 17.4 Text Alternative (Chapter 17) Figure 17.5 Text Alternative (Chapter 17) Figure 17.6 Text Alternative (Figure 17) Figure 17.8 Text Alternative (Chapter 17) Figure 17.10 Text Alternative (Chapter 17) Figure 17.11 Text Alternative (Chapter 17) Figure 17.12 Text Alternative (Chapter 17) Figure 17.13 Text Alternative (Chapter 17) Figure 17.14 Text Alternative (Chapter 17) Figure P17.12 Text Alternative (Chapter 17) Figure P17.16 Text Alternative (Chapter 17) Figure P17.18 Text Alternative (Chapter 17) Figure 18.1 Text Alternative (Chapter 18) Figure 18.3 Text Alternative (Chapter 18) Figure 18.4 Text Alternative (Chapter 18) Figure 18.5 Text Alternative (Chapter 18) Scatter Plot Text Alternative (Chapter 18) Figure 18.7 Text Alternative (Chapter 18) Figure 18.8 Text Alternative (Chapter 18) Figure 18.9 Text Alternative (Chapter 18) Figure 18.10 Text Alternative (Chapter 18) Figure 18.11 Text Alternative (Chapter 18) Scatter Plot Text Alternative (Chapter 18) Figure 18.13 Text Alternative (Chapter 18) Scatter Plot Text Alternative (Chapter 18) Figure 18.16 Text Alternative (Chapter 18) Figure 18.17 Text Alternative (Chapter 18) Figure P18.15 Text Alternative (Chapter 18) Figure P18.18 Text Alternative (Chapter 18) Figure PT5.1 Text Alternative (Chapter 19) Figure 19.1 Text Alternative (Chapter 19) Figure 19.2 Text Alternative (Chapter 19) Figure 19.3 Text Alternative (Chapter 19) Figure 19.4 Text Alternative (Chapter 19) Figure 19.5 Text Alternative (Chapter 19) Figure 19.6 Text Alternative (Chapter 19) Figure 19.7 Text Alternative (Chapter 19) Figure 19.8 Text Alternative (Chapter 19) Figure 19.9 Text Alternative (Chapter 19) Figure 19.11 Text Alternative (Chapter 19) Figure 19.12 Text Alternative (Chapter 19) Figure 19.13 Text Alternative (Chapter 19) Figure 19.15 Text Alternative (Chapter 19) Figure 19.16 Text Alternative (Chapter 19) Figure 19.17 Text Alternative (Chapter 19) Figure 19.18 Text Alternative (Chapter 19) Figure 19.19 Text Alternative (Chapter 19) Figure 19.20 Text Alternative (Chapter 19) Figure P19.9 Text Alternative (Chapter 19) Figure P19.15 Text Alternative (Chapter 19) Figure P19.25 Text Alternative (Chapter 19) Figure 20.1 Text Alternative (Chapter 20) Figure 20.3 Text Alternative (Chapter 20) Figure 20.4 Text Alternative (Chapter 20) Figure 20.5 Text Alternative (Chapter 20) Figure P20.16 Text Alternative (Chapter 20) Figure 21.1 Text Alternative (Chapter 21) Figure 21.2 Text Alternative (Chapter 21) Figure 21.7 Text Alternative (Chapter 21) Graph Shows Text Alternative (Chapter 21) Figure 21.8 Text Alternative (Chapter 21) Figure 21.9 Text Alternative (Chapter 21) Figure 21.10 Text Alternative (Chapter 21) Figure P21.34 Text Alternative (Chapter 21) Figure PT6.1 Text Alternative (Chapter 22) Figure PT6.2 Text Alternative (Chapter 22) Figure PT6.3 Text Alternative (Chapter 22) Figure 22.1 Text Alternative (Chapter 22) Figure 22.2 Text Alternative (Chapter 22) Figure 22.4 Text Alternative (Chapter 22) Figure 22.5 Text Alternative (Chapter 22) Figure 22.6 Text Alternative (Chapter 22) Figure 22.7 Text Alternative (Chapter 22) Figure 22.9 Text Alternative (Chapter 22) Figure 22.10 Text Alternative (Chapter 22) Figure 22.11 Text Alternative (Chapter 22) Figure 22.12 Text Alternative (Chapter 22) Figure 22.13 Text Alternative (Chapter 22) Figure P22.21 Text Alternative (Chapter 22) Figure P22.22 Text Alternative (Chapter 22) Figure P22.25 Text Alternative (Chapter 22) Figure 23.1 Text Alternative (Chapter 23) Figure 23.3 Text Alternative (Chapter 23) Figure 23.4 Text Alternative (Chapter 23) Figure 23.5 Text Alternative (Chapter 23) Figure 23.6 Text Alternative (Chapter 23) Figure 23.7 Text Alternative (Chapter 23) Figure 23.8 Text Alternative (Chapter 23) Figure 23.9 Text Alternative (Chapter 23) Figure 23.10 Text Alternative (Chapter 23) Figure 23.11 Text Alternative (Chapter 23) Figure 23.12 Text Alternative (Chapter 23) Figure 23.13 Text Alternative (Chapter 23) Figure 23.14 Text Alternative (Chapter 23) Figure 23.15 Text Alternative (Chapter 23) Figure 23.19 Text Alternative (Chapter 23) Figure 23.22 Text Alternative (Chapter 23) Figure 23.23 Text Alternative (Chapter 23) Figure 23.28 Text Alternative (Chapter 23) Figure 23.29 Text Alternative (Chapter 23) Figure 24.1 Text Alternative (Chapter 24) Figure 24.2 Text Alternative (Chapter 24) Figure 24.3 Text Alternative (Chapter 24) Figure 24.4 Text Alternative (Chapter 24) Figure 24.5 Text Alternative (Chapter 24) Figure 24.6 Text Alternative (Chapter 24) Figure 24.7 Text Alternative (Chapter 24) Figure 24.8 Text Alternative (Chapter 24) Figure 24.9 Text Alternative (Chapter 24) Figure 24.10 Text Alternative (Chapter 24) Figure 24.11 Text Alternative (Chapter 24) Figure P24.10 Text Alternative (Chapter 24) Figure P24.12 Text Alternative (Chapter 24) Figure P24.14 Text Alternative (Chapter 24) Figure P24.15 Text Alternative (Chapter 24) Figure P24.16 Text Alternative (Chapter 24) Figure P24.18 Text Alternative (Chapter 24) Figure P24.22 Text Alternative (Chapter 24) Figure P24.25 Text Alternative (Chapter 24) Graph of X Against Y Text Alternative (Chapter 24) Graph Shows Text Alternative (Appendix A) Graph Shows Text Alternative (Appendix A) Graph Shows Text Alternative (Appendix A) Graph Shows Text Alternative (Appendix A) Graph Shows Text Alternative (Appendix A) Graph Shows Text Alternative (Appendix A) Graph Shows Text Alternative (Appendix A) Graph Shows Text Alternative (Appendix A) Graph with Gridlines Show Text Alternative (Appendix A) Graph with Gridlines Show Text Alternative (Appendix A) Graph of X Against Y Text Alternative (Appendix A) Graph of X Against Y Text Alternative (Appendix A) Graph of X Against Y1 And Y2 Text Alternative (Appendix A) Graph of X Against Y1 And Y2 Text Alternative (Appendix A) Figure A.1 Text Alternative (Appendix A) Graph of Sin (X) Text Alternative (Appendix A) Graph of X Against Y Text Alternative (Appendix A) Bar Graph of X Text Alternative (Appendix A) A Box Plot Text Alternative (Appendix A) Stem Plot Text Alternative (Appendix A) Graph of Frequency Text Alternative (Appendix A) Graph of Frequency Text Alternative (Appendix A) Plot with Polar Coordinates Text Alternative (Appendix A) Graph of X Against Y Text Alternative (Appendix A) Set of 2 Graphs Text Alternative (Appendix A) Set of 2 Graphs Text Alternative (Appendix A) Set of 2 Graphs Text Alternative (Appendix A) Contour Plot Text Alternative (Appendix A) Contour Plot Text Alternative (Appendix A) Graph of X Against Y And Z Text Alternative (Appendix A) Graph of X Against Y And Z Text Alternative (Appendix A) Graph of X Against Y And Z Text Alternative (Appendix A)
Donate to keep this site alive
1. Disable the AdBlock plugin. Otherwise, you may not get any links.
2. Solve the CAPTCHA.
3. Click download link.
4. Lead to download server to download.