Mathematical Physics category: 1075 books
by
Language: English
Release Date: January 6, 2015
Language: English
Release Date: January 6, 2015
Despite its long history and stunning experimental successes, the mathematical foundation of perturbative quantum field theory is still a subject of ongoing research.
This book aims at presenting some of the most recent advances in the field, and at reflecting the diversity of approaches and...
by Nicolò Barbero, Matteo Delfino, Carlo Palmisano
Language: English
Release Date: November 19, 2013
Language: English
Release Date: November 19, 2013
This book is intended for undergraduates and young researchers who wish to understand the role that different branches of physics and mathematics play in the execution of actual experiments. The unique feature of the book is that all the subjects addressed are strictly interconnected within the context...
From Complex to Simple
Interdisciplinary Stochastic Models
Language: English
Release Date: August 24, 2018
This book presents simple interdisciplinary stochastic models meant as a gentle introduction to the field of non-equilibrium statistical physics. It focuses on the analysis of two-state models with cooperative effects, which are versatile enough to be applied to many physical and social systems. The...
The Physics of Ettore Majorana
Theoretical, Mathematical, and Phenomenological
Language: English
Release Date: December 11, 2014
Through just a handful of papers, Ettore Majorana left an indelible mark in the fields of physics, mathematics, computer science and even economics before his mysterious disappearance in 1938. It is only now that the importance of Majorana's work is being realised: Majorana fermions are intensely...
by Andrew Hodges
Language: English
Release Date: May 17, 2008
Language: English
Release Date: May 17, 2008
What Lynne Truss did for grammar in Eats, Shoots & Leaves, Andrew Hodges now does for mathematics.
Andrew Hodges, one of Britain’s leading biographers and mathematical writers, brings numbers to three-dimensional life in this delightful and illuminating volume, filled with illustrations,...
Operators, Geometry and Quanta
Methods of Spectral Geometry in Quantum Field Theory
Language: English
Release Date: June 25, 2011
This book gives a detailed and self-contained introduction into the theory of spectral functions, with an emphasis on their applications to quantum field theory. All methods are illustrated with applications to specific physical problems from the forefront of current research, such as finite-temperature...
by El-Maati Ouhabaz
Language: English
Release Date: January 10, 2009
Language: English
Release Date: January 10, 2009
This is the first comprehensive reference published on heat equations associated with non self-adjoint uniformly elliptic operators. The author provides introductory materials for those unfamiliar with the underlying mathematics and background needed to understand the properties of heat equations....
by Jan Dereziński, Christian Gérard
Language: English
Release Date: March 7, 2013
Language: English
Release Date: March 7, 2013
Unifying a range of topics that are currently scattered throughout the literature, this book offers a unique and definitive review of mathematical aspects of quantization and quantum field theory. The authors present both basic and more advanced topics of quantum field theory in a mathematically consistent...
by Julián López-Gómez
Language: English
Release Date: April 24, 2013
Language: English
Release Date: April 24, 2013
The main goal of the book is to provide a comprehensive and self-contained proof of the, relatively recent, theorem of characterization of the strong maximum principle due to Molina-Meyer and the author, published in Diff. Int. Eqns. in 1994, which was later refined by Amann and the author in a paper...
The Pythagorean World
Why Mathematics Is Unreasonably Effective In Physics
Language: English
Release Date: November 17, 2016
This book explores precisely how mathematics allows us to model and predict the behaviour of physical systems, to an amazing degree of accuracy. One of the oldest explanations for this is that, in some profound way, the structure of the world is mathematical. The ancient Pythagoreans stated that “everything...
Electricity and Magnetism for Mathematicians
A Guided Path from Maxwell's Equations to Yang–Mills
Language: English
Release Date: January 19, 2015
This text is an introduction to some of the mathematical wonders of Maxwell's equations. These equations led to the prediction of radio waves, the realization that light is a type of electromagnetic wave, and the discovery of the special theory of relativity. In fact, almost all current descriptions...
Quantum Mechanics
Its Early Development and the Road to Entanglement
Language: English
Release Date: March 24, 2008
This book provides the reader with an explanation of the origin and establishment of quantum mechanics, with the mathematics in a digestible form, together with a descriptive survey of later developments up to the present day. The mathematical treatment closely follows the original treatment, but...
Local Activity Principle
The Cause of Complexity and Symmetry Breaking
Language: English
Release Date: March 15, 2013
The principle of local activity explains the emergence of complex patterns in a homogeneous medium. At first defined in the theory of nonlinear electronic circuits in a mathematically rigorous way, it can be generalized and proven at least for the class of nonlinear reaction–diffusion systems in...
Fractional Kinetics in Solids
Anomalous Charge Transport in Semiconductors, Dielectrics and Nanosystems
Language: English
Release Date: November 16, 2012
The standard (Markovian) transport model based on the Boltzmann equation cannot describe some non-equilibrium processes called anomalous that take place in many disordered solids. Causes of anomality lie in non-uniformly scaled (fractal) spatial heterogeneities, in which particle trajectories take...