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Applying Math with Python

You're reading from   Applying Math with Python Practical recipes for solving computational math problems using Python programming and its libraries

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Product type Paperback
Published in Jul 2020
Publisher Packt
ISBN-13 9781838989750
Length 358 pages
Edition 1st Edition
Languages
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Authors (2):
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Sam Morley Sam Morley
Author Profile Icon Sam Morley
Sam Morley
Sam Morley Sam Morley
Author Profile Icon Sam Morley
Sam Morley
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Table of Contents (12) Chapters Close

Preface 1. Basic Packages, Functions, and Concepts 2. Mathematical Plotting with Matplotlib FREE CHAPTER 3. Calculus and Differential Equations 4. Working with Randomness and Probability 5. Working with Trees and Networks 6. Working with Data and Statistics 7. Regression and Forecasting 8. Geometric Problems 9. Finding Optimal Solutions 10. Miscellaneous Topics 11. Other Books You May Enjoy
Finding Optimal Solutions

In this chapter, we'll address various methods for finding the best outcome in a given situation. This is calledoptimizationand usually involves either minimizing or maximizing an objective function. An objective function is a function that takes a number of parameters as arguments and returns a single scalar value that represents the cost or payoff for a given choice of parameters. The problems regarding minimizing and maximizing functions are actually equivalent to one another, so we'll only discuss minimizing object functions in this chapter. Minimizing a function, f(x), is equivalent to maximizing the function -f(x). More details on this will be provided when we discuss the first recipe.

The algorithms available to us for minimizing a given function depend on the nature of the function. For instance, a simple linear function containing one or more variables has different algorithms...

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