Mathematical Physics category: 1075 books
by Psang Dain Lin
Language: English
Release Date: October 20, 2016
Language: English
Release Date: October 20, 2016
This book computes the first- and second-order derivative matrices of skew ray and optical path length, while also providing an important mathematical tool for automatic optical design. This book consists of three parts. Part One reviews the basic theories of skew-ray tracing, paraxial optics and...
Nonlinear Least Squares for Inverse Problems
Theoretical Foundations and Step-by-Step Guide for Applications
Language: English
Release Date: March 14, 2010
The domain of inverse problems has experienced a rapid expansion, driven by the increase in computing power and the progress in numerical modeling. When I started working on this domain years ago, I became somehow fr- tratedtoseethatmyfriendsworkingonmodelingwhereproducingexistence, uniqueness, and...
Quantum Mechanics
A Modern Development
Language: English
Release Date: August 28, 2014
Although there are many textbooks that deal with the formal apparatus of quantum mechanics (QM) and its application to standard problems, none take into account the developments in the foundations of the subject which have taken place in the last few decades. There are specialized treatises on various...
by Howard D Stidham
Language: English
Release Date: February 7, 2017
Language: English
Release Date: February 7, 2017
This book is the distilled essence of the author teaching statistical mechanics to juniors, seniors and graduate students for over 50 years in various course settings. It uses a unique approach that leads naturally into the development of all possible ensembles. Much of the later chapters on polymers...
Lyapunov Exponents of Linear Cocycles
Continuity via Large Deviations
Language: English
Release Date: March 21, 2016
The aim of this monograph is to present a general method of proving continuity of Lyapunov exponents of linear cocycles. The method uses an inductive procedure based on a general, geometric version of the Avalanche Principle. The main assumption required by this method is the availability of appropriate...
by Professor George Jaroszkiewicz
Language: English
Release Date: April 17, 2014
Language: English
Release Date: April 17, 2014
Could time be discrete on some unimaginably small scale? Exploring the idea in depth, this unique introduction to discrete time mechanics systematically builds the theory up from scratch, beginning with the historical, physical and mathematical background to the chronon hypothesis. Covering classical...
by Bernhard W. Bach, Jr.
Language: English
Release Date: May 17, 2018
Language: English
Release Date: May 17, 2018
Why study infinite series? Not all mathematical problems can be solved exactly or have a solution that can be expressed in terms of a known function. In such cases, it is common practice to use an infinite series expansion to approximate or represent a solution. This informal introduction for undergraduate...
by Harald Friedrich
Language: English
Release Date: June 12, 2013
Language: English
Release Date: June 12, 2013
This book presents a concise and modern coverage of scattering theory. It is motivated by the fact that experimental advances have shifted and broadened the scope of applications where concepts from scattering theory are used, e.g. to the field of ultracold atoms and molecules, which has been experiencing...
Advances in Synchronization of Coupled Fractional Order Systems
Fundamentals and Methods
Language: English
Release Date: July 23, 2018
After a short introduction to the fundamentals, this book provides a detailed account of major advances in applying fractional calculus to dynamical systems. Fractional order dynamical systems currently continue to gain further importance in many areas of science and engineering.
As with many...
Quantum Many Body Systems
Cetraro, Italy 2010, Editors: Alessandro Giuliani, Vieri Mastropietro, Jakob Yngvason
Language: English
Release Date: June 25, 2012
The book is based on the lectures given at the CIME school "Quantum many body systems" held in the summer of 2010. It provides a tutorial introduction to recent advances in the mathematics of interacting systems, written by four leading experts in the field: V. Rivasseau illustrates the...
Basic Training in Mathematics
A Fitness Program for Science Students
Language: English
Release Date: December 20, 2013
Based on course material used by the author at Yale University, this practical text addresses the widening gap found between the mathematics required for upper-level courses in the physical sciences and the knowledge of incoming students. This superb book offers students an excellent opportunity to...
Tensor Categories and Endomorphisms of von Neumann Algebras
with Applications to Quantum Field Theory
Language: English
Release Date: January 13, 2015
C* tensor categories are a point of contact where Operator Algebras and Quantum Field Theory meet. They are the underlying unifying concept for homomorphisms of (properly infinite) von Neumann algebras and representations of quantum observables.
The present introductory text reviews the basic...
Advanced Classical Electrodynamics
Green Functions, Regularizations, Multipole Decompositions
Language: English
Release Date: May 9, 2017
This textbook introduces advanced classical electrodynamics using modern mathematical techniques, with an emphasis on physical concepts. Connections to field theory and general relativity are highlighted while the book still serves as the basis for a one- or two-semester course on electrodynamics...
by Aref Jeribi
Language: English
Release Date: July 4, 2015
Language: English
Release Date: July 4, 2015
Examining recent mathematical developments in the study of Fredholm operators, spectral theory and block operator matrices, with a rigorous treatment of classical Riesz theory of polynomially-compact operators, this volume covers both abstract and applied developments in the study of spectral theory....