Systems and Signals

Complexity in Nature's Shapes and Rhythms

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Books I’m always recommending to beginners

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Some of these have a free pdf version: go to the author’s website. I’ve noted when I know about this.

Very very intro dynamical systems and complex systems: Understanding Nonlinear Dynamics - Kaplan and Glass

Intro Dynamical Systems – Nonlinear Dynamics and Chaos - Strogatz

Networks – Newman

Statistical Analysis of Network Data: Methods and Models - Eric D. Kolaczyk

Very very intro stochastics - An Introduction to Stochastic Processes in Physics - Don S. Lemons

Very intro stochastics - Stochastic Processes for Physicists: Understanding Noisy Systems - Kurt Jacobs

Intro to stochastics – Stochastic Methods – Gardiner (or equiv. book by van Kampen)

(Very) Introduction to the Theory of Computation (narrow) by Michael Sipser

Intro to theory of computation (wide) – Nature of Computation – Moore and Mertens

Intro to stats: All of Statistics – Wasserman

Very intro to statistical physics - Statistical Mechanics: Entropy, Order Parameters and Complexity - James Sethna FREE PDF

Intro to Machine Learning (Bayesian CS): Bayesian Reasoning and Machine Learning David Barber FREE PDF

Intro to Machine Learning (Stats-CS-ish): The Elements of Statistical Learning: Data Mining, Inference, and Prediction by Trevor Hastie, Robert Tibshirani and Jerome Friedman FREE PDF

Intro to Machine Learning (Bayesian): Pattern Recognition and Machine Learning – Chris Bishop

General fun intro to diverse topics: Information Theory, Inference and Learning Algorithms by David J. C. MacKay FREE PDF

Decent intro to Control theory suitable for physicists – no single recommendation – Review of Modern Physics by Bechoeffer and books by Sontag (FREE PDF) and Zabczyk on Mathematical Control theory. Also lecture notes online on classical control theory by Zabczyk.

Introduction to Optimal Control theory – Chapters by Emo Todorov or Bert Kappen