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Information Theory

A Mathematical Theory of Communication
Claude E. Shannon - 55 pages

Machine Learning

Introduction to Machine Learning
Nils J. Nilsson - 209 pages

Information Theory, Inference, and Learning Algorithms
David J.C. MacKay - 640 pages

Mathematical Physics

Notes on Functionals
Benjamin Svetitsky - 16 pages

Conformal Fractal Geometry and Boundary Quantum Gravity
Bertrand Duplantier - 118 pages
math-ph/0303034

Mathematics

An Elementary Introduction to Groups and Representations
Brian C. Hall - 128 pages
math-ph/0005032

Graphs and links
Jozef H. Przytycki - 106 pages
math.GT/0601227

A walk in the noncommutative garden
Alain Connes & Matilde Marcolli - 106 pages
math.QA/0601054

Introduction to Lambda Calculus
Henk Barendregt & Erik Barendsen - 55 pages

Quantum Field Theory

Fields
Warren Siegel - 885 pages

A Course in Field Theory
Pierre van Baal - 111 pages

Superspace, or One thousand and one lessons in supersymmetry
S.J. Gates Jr, M.T. Grisaru, M. Rocek & W. Siegel - 568 pages
hep-th/0108200

Introduction to Nonequilibrium Quantum Field Theory
J. Berges - 131 pages
hep-ph/0409233

Lectures on the Langlands Program and Conformal Field Theory
Edward Frenkel - 128 pages
hep-th/0512172

Quantum Gravity

The Holographic Principle
Raphael Bousso - 52 pages
hep-th/0203101

Quantization of Geometry
Jan Ambjorn - 101 pages
hep-th/9411179

The Geometry of Dynamical Triangulations
Jan Ambjorn, M. Carfora & A. Marzuoli - 166 pages
hep-th/9612069

Introduction to Modern Canonical Quantum General Relativity
Thomas Thiemann - 301 pages
gr-qc/0110034

Quantum Mechanics

Quantum Mechanics - Concepts and Applications
Tarun Biswas - 203 pages

Quantum Cryptography
Miloslav Dusek, Norbert Lutkenhaus & Martin Hendrych - 61 pages
quant-ph/0601207

An introduction to quantum filtering
Luc Bouten, Ramon van Handel & Matthew James - 41 pages
math.OC/0601741

Relativity

On the Electrodynamics of Moving Bodies
Albert Einstein - 24 pages

Lecture Notes on General Relativity
Sean M. Carrol - 238 pages
gr-qc/9712019

Introduction to Differential Geometry and General Relativity
Stefan Waner - 138 pages

Statistical Physics

Statistical Mechanics: Entropy, Order Parameters, and Complexity
James Sethna - 391 pages

Nonequilibrium quantum statistical mechanics and thermodynamics
Walid K. Abou Salem - 158 pages
math-ph/0601047

String Theory

Introduction to Superstring Theory
Elias Kiritsis - 244 pages
hep-th/9709062

Lectures on 2D gravity and 2D string theory
P. Ginsparg & Gregory Moore - 200 pages
hep-th/9304011




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