
Mathematical Tools for Physics
Author:
James Nearing
Language:
This text is intended for the undergraduate level, providing a onesemester bridge between some of the introductory math courses and the physics courses in which we expect to use the mathematics. This . . . . . 
Handbook of normal frames and coordinates
Author:
Bozhidar Z. Iliev
Language:
The main subject of the book is an uptodate and indepth survey of the theory of normal frames and coordinates in differential geometry.
The book can be used as a reference manual, review of the ex . . . . . 
Mathemathical methods of theoretical physics
Author:
Karl Svozil
Language:
Course material for mathemathical methods of theoretical physics intended for an undergraduate audience. 
Funky Mathematical Physics Concepts: The AntiTextbook
Author:
Eric L. Michelsen
Language:
 Physical, conceptual, geometric, and pictorial physics that didn’t fit in your textbook. 

Quaternions in mathematical physics (2): Analytical bibliography
Author:
Andre Gsponer, JeanPierre Hurni
Language:
This is part two of a series of four methodological papers on (bi)quaternions and their use in theoretical and mathematical physics: 1 Alphabetical bibliography, 2 Analytical bibliography, 3 No . . . . . 
Random Matrices
Author:
B. Eynard
Language:
Contents: introduction; ensembles of random matrices; random matrices and discretized surfaces; the saddle point method; ortoghonal polynomials method; equation of motion's method; double scaling limi . . . . . 
Quantum Field Theory on Noncommutative Spaces
Author:
Richard J. Szabo
Language:
A pedagogical and selfcontained introduction to noncommutative quantum field theory is presented, with emphasis on those properties that are intimately tied to string theory and gravity. Topics cover . . . . . 
Quaternions in mathematical physics (1): Alphabetical bibliography
Author:
Andre Gsponer, JeanPierre Hurni
Language:
Abstract: This is part one of a series of four methodological papers on (bi)quaternions and their use in theoretical and mathematical physics: 1 Alphabetical bibliography, 2 Analytical bibliogra . . . . . 
introduction to equations from mathematical physics
Author:
Li Ma
Language:
Contents: Wave equations; Heat equations; Laplace equation; Method of Characteristic lines; Duhamel principle; Method of separation of variables; Laplace transform; Fourier transform; Fundamental solu . . . . . 
Quaternions, Interpolation and Animation
Author:
Erik B. Dam, Martin Koch and Martin Lillholm
Language:
The main topics of this technical report are quaternions, their mathematical properties, and how they can be used to rotate objects. We introduce quaternion mathematics and discuss why quaternions are . . . . . 
Symmetries and dynamics in constrained systems
Author:
Xavier Bekaert, JeongHyuck Park
Language:
We review in detail the Hamiltonian dynamics for constrained systems. Emphasis is put on the total Hamiltonian system rather than on the extended Hamiltonian system. We provide a systematic analysis o . . . . . 
Lecture Notes on Quantum Brownian Motion
Author:
Laszlo Erdos
Language:
Einstein's kinetic theory of the Brownian motion, based upon light water molecules continuously bombarding a heavy pollen, provided an explanation of diffusion from the Newtonian mechanics. Since the . . . . . 
Bogoliubov s Vision: Quasiaverages and Broken Symmetry to Quantum Protectorate and Emergence
Author:
A.L. Kuzemsky
Language:
In the present interdisciplinary review we focus on the applications of the symmetry principles to quantum and statistical physics in connection with some other branches of science. The profound and i . . . . . 
The Random Walk s Guide to Anomalous Diffusion: A Fractional Dynamics Approach
Author:
by Ralf Metzler and Joseph Klafter
Language:
Fractional kinetic equations of the di!usion, di!usion}advection, and Fokker}Planck type are presented
as a useful approach for the description of transport dynamics in complex systems which are gove . . . . . 
An introduction to symmetric spaces
Author:
Ulrika Magnea
Language:
Recently, the theory of symmetric spaces has come to play an increased role in the physics of integrable systems and in quantum transport problems. In addition, it provides a classification of random . . . . . 
Metodi P robabilistici della Fisica
Author:
Enrico Onofri
Language:
Queste lezioni intendono fornire agli studenti del corso di laurea
in Fisica alcune nozioni e metodi elementari che si sono rive
lati molto utili nello sviluppo della teoria fisica e che hanno vaste . . . . . 
Euclidean random matrices and their applications in physics
Author:
A. Goetschy, S.E. Skipetrov
Language:
We review the state of the art of the theory of Euclidean random matrices, focusing on the density of their eigenvalues. Both Hermitian and nonHermitian matrices are considered and links with sim . . . . . 
Why random matrices share universal processes with interacting particle systems?
Author:
Patrik L. Ferrari (Bonn University)
Language:
In these lecture we explain why limiting distribution function, like the TracyWidom distribution, or limit processes, like the Airy_2 process, arise both in random matrices and interacting particle s . . . . . 
An Overview of the Relationship between Group Theory and Representation Theory to the Special Functions in Mathematical Physics
Author:
Ryan D. Wasson, Robert Gilmore
Language:
Advances in mathematical physics during the 20th century led to the discovery of a relationship between group theory and representation theory with the theory of special functions. Specifically, it wa . . . . . 
An Introduction to the Mathematics of Anderson Localization
Author:
Günter Stolz
Language:
We give a widely selfcontained introduction to the mathematical theory of the Anderson model. After defining the Anderson model and determining its almost sure spectrum, we prove localization propert . . . . . 
Methods of algebraic manipulation in perturbation theory
Author:
Antonio Giorgilli, Marco Sansottera
Language:
We give a short introduction to the methods of representing polynomial and trigonometric series that are often used in Celestial Mechanics. A few applications are also illustrated. 
Introduction to solvable lattice models
Author:
Tetsuo Deguchi
Language:
 Some features of integrable lattice models are reviewed for the case of the sixvertex model. By the Bethe ansatz method we derive the free energy of the sixvertex model. Then, from the expression of . . . . . 

Singletons and their maximal symmetry algebras
Author:
Xavier Bekaert
Language:
Abstract: Singletons are those unitary irreducible modules of the Poincare or (anti) de Sitter group that can be lifted to unitary modules of the conformal group. Higherspin algebras are the corr . . . . . 
Motives: an introductory survey for physicists
Author:
Abhijnan Rej, Matilde Marcolli
Language:
We survey certain accessible aspects of Grothendieck's theory of motives in arithmetic algebraic geometry for mathematical physicists, focussing on areas that have recently found applications in quant . . . . . 
A geometrical introduction to screw theory
Author:
E. Minguzzi
Language:
Since the addition of applied forces must take into account the line of action, applied forces do not belong to a vector space. Screw theory removes this geometrical limitation and solves other me . . . . . 
Random Walks in Random Environments
Author:
L. V. Bogachev
Language:
Random walks provide a simple conventional model to describe various transport processes, for example propagation of heat or diffusion of matter through a medium. However, in many practical cases the . . . . . 
Introduction to Random Matrices
Author:
Craig A. Tracy, Harold Widom
Language:
These notes provide an introduction to the theory of random matrices. 44 pages 
Partial Differential Equations
Author:
Prof. Jim Herod, Ret.
Language:
 This is a complete set of 40 Maple lessons for an undergraduate course in Partial Differential Equations. The course covers linear spaces; Fourier series; symbolic solutions to the heat, wave and Lapl . . . . . 

Appunti di Fisica Matematica
Author:
Gaetano Moschetti
Language:
Contents: CENNI DI TOPOLOGIA GENERALE;
GEOMETRIA DIFFERENZIALE; RELATIVITÁ GENERALE 
Introduction to Mathematical Physics
Author:
Wikbooks
Language:
Contents: Introduction; Some mathematical problems and their solution; N body problem and matter description. 