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Scientific Computing with Python 3

You're reading from  Scientific Computing with Python 3

Product type Book
Published in Dec 2016
Publisher Packt
ISBN-13 9781786463517
Pages 332 pages
Edition 1st Edition
Languages
Authors (3):
Claus Führer Claus Führer
Profile icon Claus Führer
Jan Erik Solem Jan Erik Solem
Olivier Verdier Olivier Verdier
View More author details

Table of Contents (23) Chapters

Scientific Computing with Python 3
Credits
About the Authors
About the Reviewer
www.PacktPub.com
Acknowledgement
Preface
1. Getting Started 2. Variables and Basic Types 3. Container Types 4. Linear Algebra – Arrays 5. Advanced Array Concepts 6. Plotting 7. Functions 8. Classes 9. Iterating 10. Error Handling 11. Namespaces, Scopes, and Modules 12. Input and Output 13. Testing 14. Comprehensive Examples 15. Symbolic Computations - SymPy References

Exercises


Ex. 1 → Compute the value of the sum:

Ex. 2 → Create a generator that computes the sequence defined by the relation:

Ex. 3 → Generate all the even numbers.

Ex. 4 → Let . In calculus, it is shown that . Determine experimentally the smallest number n such that . Use a generator for this task.

Ex. 5 → Generate all prime numbers less than a given integer. Use the algorithm called Sieve of Eratosthenes.

Ex. 6 → Solving the differential equation  by applying the explicit Euler method results in the recursion:

Write a generator that computes the solution values un for a given initial value u0 and for a given value of the time step h.

Ex. 7 → Compute π using the formula:

The integral can be approximated using the composite trapezoidal rule, that is, by this formula:

where .

Program a generator for the values yi = f(xi) and evaluate the formula by summing one term after the other. Compare your results with the quad function of SciPy.

Ex. 8 → Let x = [1, 2, 3] and y = [-1, -2, -3...

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