Mathematical Physics Books

8 Lectures on quantum groups and q-special functions
by Erik Koelink, 1996, 82 pages, 680KB, PDF

Algebraic Quantum Field Theory
by Hans Halvorson, Michael Mueger, 2006, PS/PDF

Applications of global analysis in mathematical physics
by Jerrold E. Marsden, 1974, 277 pages, 17MB, PDF

Beyond partial differential equations: A course on linear and quasi-linear abstract hyperbolic evolution equations
by Horst R. Beyer, 2011, 275 pages, 2MB, PDF

Cambridge Lectures on Supersymmetry and Extra Dimensions
by S. Krippendorf, F. Quevedo, O. Schlotterer, 2010, 130 pages, 1.4MB, PDF

Classical and Quantum Mechanics via Lie algebras
by Arnold Neumaier, Dennis Westra, 2008, 376 pages, 2.4MB, PDF

Conformal Field Theory on the Plane
by Sylvain Ribault, 2014, 119 pp, 1.1MB, PDF

Conformal Field Theory, Tensor Categories and Operator Algebras
by Yasuyuki Kawahigashi, 2015, 66 pp, 590KB, PDF

Derivations of Applied Mathematics
by Thaddeus H. Black, 2008, 492 pages, 2.4MB, PDF

Differential Equations of Mathematical Physics
by Max Lein, 2015, 198 pp, 2.1MB, PDF

Differential Geometry in Physics
by Gabriel Lugo, 2006, 61 pages, DVI/PDF

Doing Physics with Quaternions
by Douglas B. Sweetser, 2005, 157 pages, 560KB, PDF

Dynamic Graphs, Quaternion Analysis, and Unified Field Theory
by Douglas B. Sweetser, 2005, 76 pages, 1.3MB, PDF

Dynamics, Ergodic Theory, and Geometry
by Boris Hasselblatt, 2007, 334 pages, PDF

Edinburgh Lectures on Geometry, Analysis and Physics
by Michael Atiyah, 2010, 41 pages, 460KB, PDF

An Elementary Introduction to Groups and Representations
by Brian C. Hall, 2000, 128 pages, 950KB, PDF

Elements for Physics: Quantities, Qualities, and Intrinsic Theories
by Albert Tarantola, 2006, 280 pages, 3.7MB, PDF

Elements of Group Theory
by F. J. Yndurain, 2007, 65 pages, 580KB, PDF

Elements of Quaternions
by Arthur Sherburne Hardy, 1881, 252 pp, multiple formats

Encyclopedia of Dynamical Systems
by D. Anosov, at al. 2009

Euclidean Random Matrices and Their Applications in Physics
by A. Goetschy, S.E. Skipetrov, 2013, 50 pp, 6.8MB, PDF

First Steps Towards a Symplectic Dynamics
by Barney Bramham, Helmut Hofer, 2011, 60 pages, 770KB, PDF

Floer Homology, Gauge Theory, and Low Dimensional Topology
edited by David Ellwood, at al. 2006, 314 pages, 3.1MB, PDF

Foundations Of Potential Theory
by Oliver Dimon Kellog, 1929, 406 pp, multiple formats

Funky Mathematical Physics Concepts
by Eric L. Michelsen, 2012, 205 pp, 2.8MB, PDF

The Geometrization of Physics
by Richard S. Palais, 1981, 107 pages, 630KB, PDF

Geometry and Group Theory
by Christopher Pope, 2008, 181 pages, 1MB, PDF

Geometry and Quantum Field Theory
by Pavel Etingof, MIT, 2002

Geometry and Topology in Electronic Structure Theory
by Raffaele Resta, 2012, 83 pp, 1.1MB, PDF

Geometry in Physics
by Alexander Altland, 2010, 79 pages, 3MB, PDF

Geometry of 2D Topological Field Theories
by Boris Dubrovin, 1994, 204 pages, 1.1MB, PDF

Graph and Network Theory in Physics: A Short Introduction
by Ernesto Estrada, 2013, 53 pp, 1.9MB, PDF

Group theory for Maths, Physics and Chemistry
by Arjeh Cohen, Rosane Ushirobira, Jan Draisma, 2007, 93 pages, PDF

Harmonic Oscillators and Two-by-two Matrices in Symmetry Problems in Physics
by Young Suh Kim (ed.), 2017, 370 pp, 12MB, PDF

Interactions, Strings and Isotopies in Higher Order Anisotropic Superspaces
by Sergiu I. Vacaru, 2001, 450 pages, 2.3MB, PDF

Introducing categories to the practicing physicist
by Bob Coecke, 2008, 30 pages, 280KB, PDF

Introduction to Algebraic and Constructive Quantum Field Theory
by John C. Baez, Irving E. Segal and Zhengfang Zhou, 1992

Introduction to Braided Geometry and q-Minkowski Space
by Shahn Majid, 1994, 60 pages, 680KB, PDF

Introduction to Feynman Integrals
by Stefan Weinzierl, 2010, 43 pages, 250KB, PDF

Introduction to Groups, Invariants and Particles
by Frank W. K. Firk, 2000, 162 pages, 0.4MB, PDF

An Introduction to Hyperbolic Analysis
by Andrei Khrennikov, Gavriel Segre, 2005, 42 pages, 350KB, PDF

Introduction to Mathematical Physics
by Alex Madon, 2010, online html

Introduction To Monte Carlo Algorithms
by Werner Krauth, 1998, 43 pages, 360KB, PDF

An Introduction to Noncommutative Spaces and their Geometry
by Giovanni Landi, 1997, 186 pages, 1.3MB, PDF

Introduction to Physics
by Igor Dolgachev, 1996, 286 pages, PDF

Introduction to Potential Theory via Applications
by Christian Kuehn, 2008, 38 pages, 430KB, PDF

Introduction to Quantum Integrability
by A. Doikou, S. Evangelisti, G. Feverati, N. Karaiskos, 2010, 390KB, PDF

Introduction to Spectral Theory of Schroedinger Operators
by A. Pankov, 2006, 112 pp, 700KB, PDF

An Introduction to Symmetric Spaces
by Ulrika Magnea, 2002, 66 pages, 510KB, PDF

Introduction to Symplectic Field Theory
by Y. Eliashberg, A. Givental, H. Hofer, 2000, 102 pages, 970KB, PDF

Introduction to the Theory of Infinite-Dimensional Dissipative Systems
by Constantin I. Chueshov, 2002, 419 pages, 2.5MB, PDF

An Introduction to Topos Physics
by Marios Tsatsos, 2008, 104 pages, 820KB, PDF

Invariance Theory, the Heat Equation, and the Atiyah-Singer Index Theorem
by Peter B. Gilkey, 1984, DVI/PS

Invitation to Dynamical Systems
by Edward R. Scheinerman, 1995, 384 pages, 3.3MB, PDF, book and solution guide

An Invitation to Sample Paths of Brownian Motion
by Yuval Peres, 2001, 68 pages, 540KB, PDF

Kac-Moody Algebras in M-theory
by Sophie de Buyl, 2006, 228 pages, 1.7MB, PDF

Kaluza-Klein Theory
by Christopher Pope, 2003, 95 pages, 540KB, PDF

The Landscape of Theoretical Physics
by Matej Pavsic, 2006, 386 pages, 2.1MB, PDF

Lecture Notes in Lie Groups
by Vladimir G. Ivancevic, Tijana T. Ivancevic, 2011, 74 pages, 740KB, PDF

Lecture notes on C*-algebras, Hilbert C*-modules, and quantum mechanics
by N.P. Landsman, 1998, 90 pages, 1MB, PDF

Lecture Notes on Mathematical Methods of Classical Physics
by Vicente Cortes, Alexander S. Haupt, 2016, 105 pp, 740KB, PDF

Lecture notes on Mather's theory for Lagrangian systems
by Alfonso Sorrentino, 2010, 72 pages, 1.5MB, PDF

Lecture Notes on Topological Field Theory
by Jian Qiu, 2012, 64 pp, 660KB, PDF

Lectures on Calabi-Yau and Special Lagrangian Geometry
by Dominic Joyce, 2002, 58 pages, 570KB, PDF

Lectures on complex geometry, Calabi-Yau manifolds and toric geometry
by Vincent Bouchard, 2007, 63 pages, 530KB, PDF

Lectures on Integrable Hamiltonian Systems
by G.Sardanashvily, 2013, 127 pp, 1.1MB, PDF

Lectures on Nonlinear Integrable Equations and their Solutions
by A. Zabrodin, 2018, 92 pp, 760KB, PDF

Lectures on Nonlinear Waves And Shocks
by Cathleen S. Morawetz, 1981, 126 pp, 720KB, PDF

Lectures on Supersymmetry
by Ivo Sachs, 2004, 53 pages, 370KB, PDF

Lectures on the Singularities of the Three-Body Problem
by C.L. Siegel, 1967, 188 pp, 990KB, PDF

Lectures on Three-Dimensional Elasticity
by P. G. Ciarlet, 1983, 135 pp, 850KB, PDF

Lie Groups in Physics
by G. 't Hooft, M. J. G. Veltman, 2007, 75 pages, PDF

Lie Systems: Theory, Generalisations, and Applications
by J.F. Carinena, J. de Lucas, 2011, 163 pp, 1.5MB, PDF

Lie Theory and Special Functions
by Willard Miller, 1968, 338 pages, PDF

Linear Methods of Applied Mathematics
by Evans M. Harrell II, James V. Herod, 2000, online html

Little Magnetic Book
by Nicolas Raymond, 2014, 311 pp, 2.5MB, PDF

Mathematical Control Theory: Deterministic Finite Dimensional Systems
by Eduardo D. Sontag, 1998, 544 pages, 2.4MB, PDF

Mathemathical Methods of Theoretical Physics
by Karl Svozil, 2012, 222 pp, 1.4MB, PDF

Mathematical Physics II
by Boris Dubrovin, 2008, 78 pp, 440KB, PDF

Mathematical Physics: Problems and Solutions
by G. S. Beloglazov, et al. 2010, 67 pp, 1.7MB, PDF

Mathematics for the Physical Sciences
by Herbert S Wilf, 1962, 298 pages, 5.4MB, PDF

Mathematics for Theoretical Physics
by Jean Claude Dutailly, 2012, 767 pp, 5MB, PDF

A Mathematics Primer for Physics Graduate Students
by Andrew E. Blechman, 2007, 78 pages, 440KB, PDF

Navier-Stokes Equations: On the Existence and the Search Method for Global Solutions
by Solomon I. Khmelnik, 2011, 105 pp, 4.6MB, PDF

New Lectures on Supergravity
by Nilo Serpa, 2011, 72 pages, 680KB, PDF

Nonlinear Physics (Solitons, Chaos, Localization)
by Nikos Theodorakopoulos, 2006, 181 pp, 8MB, PDF

The Octonions
by John C. Baez, 2001, PDF

Partial Differential Equations of Mathematical Physics
by William W. Symes, 2006, 105 pages, 490KB, PDF

Physical Mathematics
by Michael P. Brenner, 2010, 250 pp, 4.6MB, PDF

Physics, Topology, Logic and Computation: A Rosetta Stone
by John C. Baez, Mike Stay, 2009, 73 pp, 810KB, PDF

The Place of Partial Differential Equations in Mathematical Physics
by Ganesh Prasad, 1924, 64 pp, multiple formats

Poincare Analyticity and the Complete Variational Equations
by Dobrin Kaltchev, Alex Dragt, 2011, 86 pages, 7.8MB, PDF

A Primer of Quaternions
by Arthur S. Hathaway, 2006, 70 pages, 570KB, PDF

The Propagation Of Disturbances In Dispersive Media
by T.H. Havelock, 1914, 107 pp, multiple formats

Quantization of Geometry
by Jan Ambjorn, 1995, 101 pp, 890KB, PDF

Quantum Spin Systems on Infinite Lattices
by Pieter Naaijkens, 2013, 90 pp, 890KB, PDF

Quaternions and Clifford Geometric Algebras
by Robert B. Easter, 2015, 187 pp, 990KB, PDF

Quaternions, Interpolation and Animation
by Erik B. Dam, Martin Koch, Martin Lillholm, 1998, 103 pp, 3.4MB, PDF

Random Matrices
by B. Eynard, 2001, 119 pages, 1.2MB, PDF

As Scales Become Separated: Lectures on Effective Field Theory
by Timothy Cohen, 2019, 183 pp, 8MB, PDF

A Short Introduction to Classical and Quantum Integrable Systems
by O. Babelon, 2007, 145 pages, 780KB, PDF

by David Tong, 2005, 140 pp, 1.3MB, PDF

Solution of the Cauchy problem for the Navier - Stokes and Euler equations
by A. Tsionskiy, M. Tsionskiy, 2010, 65 pages, 1MB, PDF

Step-by-Step BS to PhD Math/Physics
by Alex Alaniz, 2013, 323 pp, 2.8MB, PDF

Strange Attractors: Creating Patterns in Chaos
by Julien C. Sprott, 2000, HTML/DOC/PDF

String Theory
by Samir D. Mathur, 2007, PDF

Strings and Geometry
edited by M. Douglas, J. Gauntlett, M. Gross, 2004, 384 pages, 2.9MB, PDF

by Maximilian Kreuzer, 2010, 44 pages, 510KB, PDF

Symmetry and Separation of Variables
by Willard Miller, 1977, 318 pp, multiple PDF files

Tensor Techniques in Physics: a concise introduction
by Roy McWeeny, 2011, 30 pp, 250KB, PDF

Theoretical Physics
by W. Wilson, 1931

Three Lectures on Complexity and Black Holes
by Leonard Susskind, 2018, 84 pp, 3.9MB, PDF

Topics in Spectral Theory
by Vojkan Jaksic, 2005, 79 pp, 520KB, PDF

Topology and Physics: A Historical Essay
by C. Nash, 1997, 60 pages, 630KB, PDF

Utility of Quaternions in Physics
by Alexander McAulay, 1893, 134 pages, 720KB, PDF

Vector Analysis and Quaternions
by Alexander Macfarlane, 1906, 65 pages, 460KB, PDF

Vector Bundles and an Introduction to Gauge Theory
by Steven Bradlow, 1998, PDF/DVI/TeX/PS

Why the Boundary of a Round Drop Becomes a Curve of Order Four
by A. N. Varchenko and P. I. Etingof, 1992, 72 pages, 4.5MB, PDF

A Window into Zeta and Modular Physics
edited by Klaus Kirsten, Floyd L. Williams, 2010, 351 pp, PDF