Chemical and Biomedical Engineering Calculations Using Python

Cover -- Title Page -- Copyright -- Contents -- Preface -- About the Companion Website -- Chapter 1 Problem Solving in Engineering -- 1.1 Equation Identification and Categorization -- 1.1.1 Algebraic versus Differential Equations -- 1.1.2 Linear versus Nonlinear Equations -- 1.1.3 Ordinary versus Partial Differential Equations -- 1.1.4 Interpolation versus Regression -- Problems -- Additional Resources -- References -- Chapter 2 Programming with Python -- 2.1 Why Python? -- 2.1.1 Compiled versus Interpreted Computer Languages -- 2.1.2 A Note on Python Versions -- 2.2 Getting Python

2.2.1 Installation of Python -- 2.2.2 Alternative to Installation: SageMathCloud -- 2.3 Python Variables and Operators -- 2.3.1 Updating Variables -- 2.3.2 Containers -- 2.4 External Libraries -- 2.4.1 Finding Documentation -- Problems -- Additional Resources -- References -- Chapter 3 Programming Basics -- 3.1 Comparators and Conditionals -- 3.2 Iterators and Loops -- 3.2.1 Indentation Style -- 3.3 Functions -- 3.3.1 Pizza Example -- 3.3.2 Print Function -- 3.4 Debugging or Fixing Errors -- 3.5 Top 10+ Python Error Messages -- Problems -- Additional Resources -- References

Chapter 4 External Libraries for Engineering -- 4.1 Numpy Library -- 4.1.1 Array and Vector Creation -- 4.1.2 Array Operations -- 4.1.3 Getting Helping with Numpy -- 4.1.4 Numpy Mathematical Functions -- 4.1.5 Random Vectors with Numpy -- 4.1.6 Sorting and Searching -- 4.1.7 Polynomials -- 4.1.8 Loading and Saving Arrays -- 4.2 Matplotlib Library -- 4.3 Application: Gillespie Algorithm -- Problems -- Additional Resources -- References -- Chapter 5 Symbolic Mathematics -- 5.1 Introduction -- 5.2 Symbolic Mathematics Packages -- 5.3 An Introduction to SymPy -- 5.3.1 Multiple Equations

5.4 Factoring and Expanding Functions -- 5.4.1 Equilibrium Kinetics Example -- 5.4.2 Partial Fraction Decomposition -- 5.5 Derivatives and Integrals -- 5.5.1 Reaction Example -- 5.5.2 Symbolic Integration -- 5.5.3 Reactor Sizing Example -- 5.6 Cryptography -- Problems -- References -- Chapter 6 Linear Systems -- 6.1 Example Problem -- 6.2 A Direct Solution Method -- 6.2.1 Distillation Example -- 6.2.2 Blood Flow Network Example -- 6.2.3 Computational Cost -- 6.3 Iterative Solution Methods -- 6.3.1 Vector Norms -- 6.3.2 Jacobi Iteration -- 6.3.3 Gauss-Seidel Iteration -- 6.3.4 Relaxation Methods

6.3.5 Convergence of Iterative Methods -- Problems -- References -- Chapter 7 Regression -- 7.1 Motivation -- 7.2 Fitting Vapor Pressure Data -- 7.3 Linear Regression -- 7.3.1 Alternative Derivation of the Normal Equations -- 7.4 Nonlinear Regression -- 7.4.1 Lunar Disintegration -- 7.5 Multivariable Regression -- 7.5.1 Machine Learning -- Problems -- References -- Chapter 8 Nonlinear Equations -- 8.1 Introduction -- 8.2 Bisection Method -- 8.3 Newton's Method -- 8.4 Broyden's Method -- 8.5 Multiple Nonlinear Equations -- 8.5.1 The Point Inside a Square -- Problems -- Chapter 9 Statistics

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9.1 Introduction