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Computational Discovery on Jupyter

Welcome to Computational Discovery on Jupyter

Preface

Preamble
Before we begin: installing Python and Jupyter

Contents

Computing with Fibonacci Numbers
Continued Fractions
Rootfinding, Newton’s Method, and Dynamical Systems
Fractals and Julia Sets
Bounded Height Matrices of Integers (Bohemian Matrices)
Mandelbrot Polynomials and Matrices
Chaos Game Representation

Epilogue

Zanshin

Appendix

What do to when things go wrong
The Bare Minimum about Floating-Point
Binomials, Factorials, and other Combinatorial Things
Complex Numbers
Symbolic Computation: The Pitfalls

Reports on Activities

Reports on Fibonacci Activities
Reports on Continued Fractions Activities
Reports on Rootfinding Activities
Reports on Julia Set Activities
Reports on Bohemian activities
Reports on Mandelbrot Activities
Reports on Chaos Game Activities

Back Matter

Acknowledgements
About the authors
References

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By Neil J. Calkin, Eunice Y.S. Chan, and Robert M. Corless
© Copyright 2022.