Probability, Chaos and Fractals

DRAFT - WORK IN PROGRESS

Dynamic Systems, Chaos and Fractals: high disclosure and introductory readings

  • Manfred Schroeder - Fractals, Chaos, Power Laws

  • David P. Feldman - Chaos and Fractals: An Elementary Introduction (2012)

  • Michael Frame, Amelia Urry - Fractal worlds_ grown, built, and imagined- (2016)

  • Heinz O. Peitgen, Peter H. Richter - The beauty of fractals

  • Kenneth Falconer - Fractals: A Very Short Introduction (2013)

  • Richard Kautz - Chaos. The Science of Predictable Random Motion (2010)

  • David Acheson - From Calculus to Chaos

  • Richard H. Enns - It_s a Nonlinear World (2011)

  • Karl Sigmund - Games of life explorations in ecology, evolution and behavior

  • Vinay Ambegaokar - Reasoning about Luck. probability and its Uses in Physics

  • Persi Diaconis, Brian Skyrms - Ten great ideas about chance (2019)

  • Bart Kosko - Noise (2006)

  • Angelo Vulpiani - Chance, probability and complexity (2014)

  • Roberto Piazza - The vagaries of chance: Introduction to statistics, the calculus of probability and error theory

  • M.Cencini, A.Puglisi, D.Vergni, A.Vulpiani - A Random Walk in Physics: Beyond Black Holes and Time-Travels (2021)

Dynamic Systems and Chaos: disclosure for all

  • James Gleick - Chaos. the birth of a new science

  • David Ruelle - Case and chaos

  • Ivar Ekeland - How chaos works.From planetary motion to the butterfly effect

  • Murray Gell-Mann - The Quark and the Jaguar. Adventures in the Simple and the Complex

  • Ian Stewart - Does God Play Dice? transl.it. does god play dice?: The new mathematics of chaos

NONLINEAR DYNAMIC SYSTEMS AND CAOS - Advanced Texts

  • Kathleen T. Alligood, Tim D. Sauer, James A. Yorke - Chaos

  • Steven H. Strogatz - Nonlinear Dynamics and Chaos With Applications to Physics, Biology, Chemistry, and Engineering

  • Heinz Georg Schuster, Wolfram Just - Deterministic Chaos. An Introduction

  • Dietrich Stauffer, Eugene Stanley, Annick Lesne - From Newton to Mandelbrot: A Primer in Theoretical Physics

  • Gary William Flake - The Computational Beauty of Nature. Computer Explorations of Fractals, Chaos, Complex Systems, and Adaptation (1998)

FRACTALS

  • Benoit Mandelbrot - The Fractal Geometry of Nature (1977)

  • Sergio Peppino Ratti - Introduction to Fractals in Physics (2011)

  • Michael Fielding Barnsley - SuperFractals (2016)

  • Michael Fielding Barnsley - Fractals Everywhere (2013)

  • Benoît B. Mandelbrot - The fractal objects

  • Benoît B. Mandelbrot - In the World of Fractals

Probability and Chance: disclosure for all

  • Ivar Ekeland - At random. fate, science, the world

  • Ivar Ekeland - The best of all possible worlds.Mathematics and fate

  • Ian Stewart - Do Dice Play God?: The Mathematics of Uncertainty transl.it. Do dice play God?: The mathematics of uncertainty

  • David J. Hand - The Improbability Principle. transl.it. There is no such thing as chance. Why the most incredible things happen every day (2015)

  • David J. Hand - Dark Data: Why What You Dont Know Matters trad.it. The betrayal of numbers. dark data and the art of hiding the truth (2019)

  • Marco Li Calzi - The Mathematics of Uncertainty (2016) (Intersections. Telling Mathematics)

  • Hykel Hosni - Probability. how to stop worrying and start loving uncertainty

  • John Tabak - Probability and Statistics_ The Science of Uncertainty (2011)

  • John Haigh- Probability. a Very Short Introduction (2012)

  • Andrew C.A. Elliott - What are the Chances of That? How to Think About Uncertainty (2021)

CHANCE AND PROBABILITY

  • David Morin - Probability. for the Enthusiastic Beginner

  • Y.A. Rozanov - Probability Theory. A Concise Course - (1977)

  • Boris V. Gnedenko - Theory of Probability-6ed (2018) transl.it. Theory of Probability

  • E. T. Jaynes, G. Larry Bretthorst - Probability theory the logic of science

  • Gian Carlo Rota, Joseph P.S. Kung - Probability

  • Andy Lawrence - Probability in Physics - An Introductory Guide- (2019)

  • Don S. Lemons - An Introduction to Stochastic Processes in Physics

  • Sheldon M. Ross - A First Course in Probability transl.it. calculus of probability

  • Sheldon M. Ross - Introduction to Probability Models

  • Sheldon M. Ross - Introduction to Probability and Statistics for Engineers and Scientists trad.it. Probability and statistics for engineering and science

  • Pierluigi Contucci, Stefano Isola - Elementary_probability. theory and experiments (2008)

  • Guido Boffetta, Angelo Vulpiani - Probability in Physics_ An Introduction (2012)

  • Giorgio Parisi, Enzo Marinari - Treatise on probability https://www.phys.uniroma1.it/DipWeb/web_disp/d3/dispense/marinari-parisi--prob.pdf Handouts of Physics Rome I

  • Enzo Marinari, Giorgio Parisi, Luca Leuzzi - Calculus of probability. a treatise for willing beginners.(2023)

STATISTICS

  • Darrel Huff - How to Lie with Statistics transl.it. Lying with Statistics (2009)

  • David J. Hand - Statistics: A Very Short Introduction transl. it. Statistics. data, numbers and the interpretation of reality (2012)

  • David Spiegelhalter - The Art of Statistics: Learning from Data transl.it. The Art of Statistics