Steinerberger S. The Unreasonable Elegance of Mathematics 2025
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Steinerberger S. The Unreasonable Elegance of Mathematics 2025
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Total size: 24.48 MB
Added: 11 hours ago (2025-11-04 12:58:01)
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Last updated: 15 minutes ago (2025-11-04 23:48:39)
Description:
Textbook in PDF format
This book offers an introduction to the nature of mathematics, its history, and some of the curious individuals who have shaped it. It explores a range of fundamental ideas that can be appreciated without prior mathematical training. Highlighting the human side of mathematics and its shared lineage with philosophy, the book embraces the subjectâs colorful history, incorporating original source material in the main text. Based on a course taught to non-science majors, it is intended for anyone with an interest in mathematicsâincluding those whose last experience with algebra was less than enjoyable.
Anaximenes to Pythagoras.
Preface.
What is Mathematics?
Pascalâs Triangle, Number Magic and the Apocalypse.
Some Simple Number Mysteries.
Cellular Automata.
Axioms: the Rules of the Game.
Direct and Indirect Proofs.
Dirichletâs Box Principle.
Adding Infinitely Many Things.
Incorrectly Adding Infinitely Many Things.
The Other Side of the Story (Plato vs. Wittgenstein).
Different Infinities.
The Monte Carlo Method.
Chaos Theory.
Mathematics as a Tool for Dishonesty.
Able Amateurs and Colorful Crackpots.
The House Always Wins.
Matching Things.
Conflict and Cooperation.
The End of Knowledge.
References.
Index