Mathematical Analysis category: 956 books
Maßtheorie für Statistiker
Grundlagen der Stochastik
Language: German
Release Date: August 27, 2015
Dieses Buch vermittelt ein solides Grundwissen über Maßtheorie, indem es die wichtigsten Teile derselben in detaillierten, gut nachvollziehbaren Schritten darlegt sowie mit zahlreichen Beispielen verbindet. Viele Übungsaufgaben unterschiedlicher Schwierigkeitsgrade unterstützen dabei das Verständnis...
by Sandro R. Santos
Language: Portuguese
Release Date: December 19, 2018
Language: Portuguese
Release Date: December 19, 2018
Se olharmos criteriosamente para os movimentos gráficos dos instrumentos financeiros, como moedas ações e commodities, podemos perceber que estes apresentam certos padrões de movimentos e esses padrões se repetem ao longo do tempo, e mais, após estes padrões se formarem podemos perceber certas...
by J. Tinsley Oden, Leszek Demkowicz
Language: English
Release Date: December 1, 2017
Language: English
Release Date: December 1, 2017
Applied Functional Analysis, Third Edition provides a solid mathematical foundation for the subject. It motivates students to study functional analysis by providing many contemporary applications and examples drawn from mechanics and science.
This well-received textbook starts with a thorough...
Mathematical Methods in Physics
Distributions, Hilbert Space Operators, Variational Methods, and Applications in Quantum Physics
Language: English
Release Date: April 7, 2015
The second edition of this textbook presents the basic mathematical knowledge and skills that are needed for courses on modern theoretical physics, such as those on quantum mechanics, classical and quantum field theory, and related areas. The authors stress that learning mathematical physics is...
by Victor Chulaevsky, Yuri Suhov
Language: English
Release Date: September 20, 2013
Language: English
Release Date: September 20, 2013
The study of quantum disorder has generated considerable research activity in mathematics and physics over past 40 years. While single-particle models have been extensively studied at a rigorous mathematical level, little was known about systems of several interacting particles, let alone systems...
Lie Theory and Its Applications in Physics
Varna, Bulgaria, June 2015
Language: English
Release Date: December 10, 2016
This volume presents modern trends in the area of symmetries and their applications based on contributions from the workshop "Lie Theory and Its Applications in Physics", held near Varna, Bulgaria, in June 2015. Traditionally, Lie theory is a tool to build mathematical models for physical...
Self-adjoint Extensions in Quantum Mechanics
General Theory and Applications to Schrödinger and Dirac Equations with Singular Potentials
Language: English
Release Date: April 27, 2012
This exposition is devoted to a consistent treatment of quantization problems, based on appealing to some nontrivial items of functional analysis concerning the theory of linear operators in Hilbert spaces. The authors begin by considering quantization problems in general, emphasizing the nontriviality...
A Primer on Hilbert Space Theory
Linear Spaces, Topological Spaces, Metric Spaces, Normed Spaces, and Topological Groups
Language: English
Release Date: October 8, 2014
This book is an introduction to the theory of Hilbert space, a fundamental tool for non-relativistic quantum mechanics. Linear, topological, metric, and normed spaces are all addressed in detail, in a rigorous but reader-friendly fashion. The rationale for an introduction to the theory of Hilbert...
by Tepper Gill, Woodford Zachary
Language: English
Release Date: March 30, 2016
Language: English
Release Date: March 30, 2016
This book provides the mathematical foundations for Feynman's operator calculus and for the Feynman path integral formulation of quantum mechanics as a natural extension of analysis and functional analysis to the infinite-dimensional setting. In one application, the results are used to prove the...
by Daisuke Fujiwara
Language: English
Release Date: June 24, 2017
Language: English
Release Date: June 24, 2017
This book proves that Feynman's original definition of the path integral actually converges to the fundamental solution of the Schrödinger equation at least in the short term if the potential is differentiable sufficiently many times and its derivatives of order equal to or higher than two are bounded....
Advances in Quantum Mechanics
Contemporary Trends and Open Problems
Language: English
Release Date: August 1, 2017
This volume collects recent contributions on the contemporary trends in the mathematics of quantum mechanics, and more specifically in mathematical problems arising in quantum many-body dynamics, quantum graph theory, cold atoms, unitary gases, with particular emphasis on the developments of the specific...
by Konrad Schmüdgen
Language: English
Release Date: July 9, 2012
Language: English
Release Date: July 9, 2012
The book is a graduate text on unbounded self-adjoint operators on Hilbert space and their spectral theory with the emphasis on applications in mathematical physics (especially, Schrödinger operators) and analysis (Dirichlet and Neumann Laplacians, Sturm-Liouville operators, Hamburger moment problem)...
by J.-B. Bru, W. de Siqueira Pedra
Language: English
Release Date: November 30, 2016
Language: English
Release Date: November 30, 2016
Lieb-Robinson bounds for multi-commutators are effective mathematical tools to handle analytic aspects of infinite volume dynamics of non-relativistic quantum particles with short-range, possibly time-dependent interactions.
In particular, the existence of fundamental solutions is shown for...
From Particle Systems to Partial Differential Equations
PSPDE V, Braga, Portugal, November 2016
Language: English
Release Date: December 29, 2018
This book presents the proceedings of the international conference Particle Systems and Partial Differential Equations V, which was held at the University of Minho, Braga, Portugal, from the 28th to 30th November 2016. It includes papers on mathematical problems motivated by various applications in...