Logo

Mathematical Physics

subcategories

Field Theory (15)
Geometry & Physics (17)
Quaternions (7)
String Theory (24)

e-books in Mathematical Physics category

Book cover: Lecture Notes on Mathematical Methods of Classical PhysicsLecture Notes on Mathematical Methods of Classical Physics
by - arXiv ,
Topics include Lagrangian Mechanics, Hamiltonian Mechanics, Hamilton-Jacobi Theory, Classical Field Theory formulated in the language of jet bundles, field theories such as sigma models, gauge theory, and Einstein's theory of general relativity.
(2000 views)
Book cover: Foundations Of Potential TheoryFoundations Of Potential Theory
by - Springer ,
The present volume gives a systematic treatment of potential functions. It has a purpose to serve as an introduction for students and to provide the reader with the fundamentals of the subject, so that he may proceed immediately to the applications.
(602 views)

Book cover: Differential Equations of Mathematical PhysicsDifferential Equations of Mathematical Physics
by - arXiv ,
These lecture notes give an overview of how to view and solve differential equations that are common in physics. They cover Hamilton's equations, variations of the Schroedinger equation, the heat equation, the wave equation and Maxwell's equations.
(2844 views)
Book cover: Little Magnetic BookLittle Magnetic Book
by - arXiv ,
'Little Magnetic Book' is devoted to the spectral analysis of the magnetic Laplacian in various geometric situations. In particular the influence of the geometry on the discrete spectrum is analysed in many asymptotic regimes.
(1483 views)
Book cover: Introduction to Spectral Theory of Schrödinger OperatorsIntroduction to Spectral Theory of Schrödinger Operators
by - Vinnitsa State Pedagogical University ,
Contents: Operators in Hilbert spaces; Spectral theorem of self-adjoint operators; Compact operators and the Hilbert-Schmidt theorem; Perturbation of discrete spectrum; Variational principles; One-dimensional Schroedinger operator; etc.
(4209 views)
Book cover: Quantum Spin Systems on Infinite LatticesQuantum Spin Systems on Infinite Lattices
by - arXiv ,
These are the lecture notes for a one semester course at Leibniz University Hannover. The main aim of the course is to give an introduction to the mathematical methods used in describing discrete quantum systems consisting of infinitely many sites.
(2048 views)
Book cover: Funky Mathematical Physics ConceptsFunky Mathematical Physics Concepts
by - UCSD ,
This text covers some of the unusual or challenging concepts in graduate mathematical physics. This work is meant to be used with any standard text, to help emphasize those things that are most confusing for new students.
(2648 views)
Book cover: Graph and Network Theory in Physics: A Short IntroductionGraph and Network Theory in Physics: A Short Introduction
by - arXiv ,
Text consisting of some of the main areas of research in graph theory applied to physics. It includes graphs in condensed matter theory, such as the tight-binding and the Hubbard model. It follows the study of graph theory and statistical physics...
(4253 views)
Book cover: Lectures on Integrable Hamiltonian SystemsLectures on Integrable Hamiltonian Systems
by - arXiv ,
We consider integrable Hamiltonian systems in a general setting of invariant submanifolds which need not be compact. This is the case a global Kepler system, non-autonomous integrable Hamiltonian systems and systems with time-dependent parameters.
(3634 views)
Book cover: Euclidean Random Matrices and Their Applications in PhysicsEuclidean Random Matrices and Their Applications in Physics
by - arXiv ,
We review the state of the art of the theory of Euclidean random matrices, focusing on the density of their eigenvalues. Both Hermitian and non-Hermitian matrices are considered and links with simpler random matrix ensembles are established.
(2892 views)
Book cover: Mathematics for Theoretical PhysicsMathematics for Theoretical Physics
by - arXiv ,
This is a comprehensive and precise coverage of the mathematical concepts and tools used in present theoretical physics: differential geometry, Lie groups, fiber bundles, Clifford algebra, differential operators, normed algebras, connections, etc.
(7671 views)
Book cover: Step-by-Step BS to PhD Math/PhysicsStep-by-Step BS to PhD Math/Physics
by - UC Riverside ,
These are step-by-verifiable-step notes which are designed to help students with a year of calculus based physics who are about to enroll in ordinary differential equations go all the way to doctoral foundations in either mathematics or physics.
(6548 views)
Book cover: Tensor Techniques in Physics: a concise introductionTensor Techniques in Physics: a concise introduction
by - Learning Development Institute ,
Contents: Linear vector spaces; Elements of tensor algebra; The tensor calculus (Volume elements, tensor densities, and volume integrals); Applications in Relativity Theory (Elements of special relativity, Tensor form of Maxwell's equations).
(6866 views)
Book cover: Introduction to Mathematical PhysicsIntroduction to Mathematical Physics
by - Wikibooks ,
The goal of this book is to propose an ensemble view of modern physics. The coherence between various fields of physics is insured by following two axes: a first is the universal mathematical language; the second is the study of the N body problem.
(3252 views)
Book cover: Lie Systems: Theory, Generalisations, and ApplicationsLie Systems: Theory, Generalisations, and Applications
by - arXiv ,
Lie systems form a class of systems of first-order ordinary differential equations whose general solutions can be described in terms of certain finite families of particular solutions and a set of constants, by means of a particular type of mapping.
(4098 views)
Book cover: Physics, Topology, Logic and Computation: A Rosetta StonePhysics, Topology, Logic and Computation: A Rosetta Stone
by - arXiv ,
There is extensive network of analogies between physics, topology, logic and computation. In this paper we make these analogies precise using the concept of 'closed symmetric monoidal category'. We assume no prior knowledge of category theory.
(4832 views)
Book cover: Lectures on Three-Dimensional ElasticityLectures on Three-Dimensional Elasticity
by - Tata Institute of Fundamental Research ,
In this book a non-linear system of partial differential equations will be established as a mathematical model of elasticity. An energy functional will be established and existence results will be studied in the second chapter.
(4081 views)
Book cover: Lectures on Nonlinear Waves And ShocksLectures on Nonlinear Waves And Shocks
by - Tata Institute Of Fundamental Research ,
Introduction to certain aspects of gas dynamics concentrating on some of the most important nonlinear problems, important not only from the engineering or computational point of view but also because they offer great mathematical challenges.
(4017 views)
Book cover: Lectures on Diffusion Problems and Partial Differential EquationsLectures on Diffusion Problems and Partial Differential Equations
by - Tata Institute of Fundamental Research ,
Starting from Brownian Motion, the lectures quickly got into the areas of Stochastic Differential Equations and Diffusion Theory. The section on Martingales is based on additional lectures given by K. Ramamurthy of the Indian Institute of Science.
(4279 views)
Book cover: Topics in Spectral TheoryTopics in Spectral Theory
by - McGill University ,
The subject of these lecture notes is spectral theory of self-adjoint operators and some of its applications to mathematical physics. The main theme is the interplay between spectral theory of self-adjoint operators and classical harmonic analysis.
(4134 views)
Book cover: SolitonsSolitons
by - University of Cambridge ,
These lectures cover aspects of solitons with focus on applications to the quantum dynamics of supersymmetric gauge theories and string theory. The lectures consist of four sections, each dealing with a different soliton.
(4146 views)
Book cover: Mathemathical Methods of Theoretical PhysicsMathemathical Methods of Theoretical Physics
by - Edition Funzl ,
This book presents the course material for mathemathical methods of theoretical physics intended for an undergraduate audience. The author most humbly presents his own version of what is important for standard courses of contemporary physics.
(4351 views)
Book cover: Lectures on the Singularities of the Three-Body ProblemLectures on the Singularities of the Three-Body Problem
by - Tata Institute of Fundamental Research ,
From the table of contents: The differential equations of mechanics; The three-body problem : simple collisions (The n-body problem); The three-body problem: general collision (Stability theory of solutions of differential equations).
(4331 views)
Book cover: A Set of Appendices on Mathematical Methods for Physics StudentsA Set of Appendices on Mathematical Methods for Physics Students
by ,
Useful mathematical background for physics students at all undergraduate levels. Topics: Matrices, Eigenvalues and Eigenvectors, Intro To Differential Equations, Integration, Fourier Analysis and Transforms, Converting Sums to Integrals, etc.
(5038 views)
Book cover: Theoretical PhysicsTheoretical Physics
by - Dutton ,
The purpose of the present work is to present an account of the theoretical side of physics which, without being too elaborate, will be sufficiently comprehensive to be useful to teachers and students. This volume deals with mechanics and heat.
(4742 views)
Book cover: Mathematical Physics: Problems and SolutionsMathematical Physics: Problems and Solutions
by - Samara University Press ,
The present Proceedings is intended to be used by the students of physical and mechanical-mathematical departments of the universities, who are interested in acquiring a deeper knowledge of the methods of mathematical and theoretical physics.
(4952 views)
Book cover: A Window into Zeta and Modular PhysicsA Window into Zeta and Modular Physics
by - Cambridge University Press ,
This book provides an introduction, with applications, to three interconnected mathematical topics: zeta functions in their rich variety; modular forms; vertex operator algebras. Applications of the material to physics are presented.
(4991 views)
Book cover: Mathematical Physics IIMathematical Physics II
by - SISSA ,
These are lecture notes on various topics in analytic theory of differential equations: Singular points of solutions to analytic differential equations; Monodromy of linear differential operators with rational coefficients.
(9617 views)
Book cover: Lecture Notes on Quantum Brownian MotionLecture Notes on Quantum Brownian Motion
by - arXiv ,
Einstein's kinetic theory of the Brownian motion, based upon water molecules bombarding a heavy pollen, provided an explanation of diffusion from the Newtonian mechanics. It is a challenge to verify the diffusion from the Schroedinger equation.
(4032 views)
Book cover: Nonlinear Physics (Solitons, Chaos, Localization)Nonlinear Physics (Solitons, Chaos, Localization)
by - Universitaet Konstanz ,
This set of lectures describes some of the basic concepts mainly from the angle of condensed matter / statistical mechanics, an area which provided an impressive list of nonlinearly governed phenomena over the last fifty years.
(4652 views)
Book cover: Mathematics for Physics: A Guided Tour for Graduate StudentsMathematics for Physics: A Guided Tour for Graduate Students
by - Cambridge University Press ,
This book provides a graduate-level introduction to the mathematics used in research in physics. It focuses on differential and integral equations, Fourier series, calculus of variations, differential geometry, topology and complex variables.
(11520 views)
Book cover: Floer Homology, Gauge Theory, and Low Dimensional TopologyFloer Homology, Gauge Theory, and Low Dimensional Topology
by - American Mathematical Society ,
Mathematical gauge theory studies connections on principal bundles. The book provides an introduction to current research, covering material from Heegaard Floer homology, contact geometry, smooth four-manifold topology, and symplectic four-manifolds.
(6851 views)
Book cover: Random MatricesRandom Matrices
by ,
This is an introductory course about random matrices. These notes will give the reader a smell of that fascinating tool for physicists and mathematicians that are Random Matrices, and they can give the envy to learn and search more.
(5219 views)
Book cover: Mirror SymmetryMirror Symmetry
by - American Mathematical Society ,
The book provides an introduction to the field of mirror symmetry from both a mathematical and physical perspective. After covering the relevant background material, the monograph is devoted to the proof of mirror symmetry from various viewpoints.
(6492 views)
Book cover: Invariance Theory, the Heat Equation and the Atiyah-Singer Index TheoremInvariance Theory, the Heat Equation and the Atiyah-Singer Index Theorem
by - Publish or Perish Inc. ,
This book treats the Atiyah-Singer index theorem using the heat equation, which gives a local formula for the index of any elliptic complex. Heat equation methods are also used to discuss Lefschetz fixed point formulas and the Gauss-Bonnet theorem.
(4806 views)
Book cover: A Mathematics Primer for Physics Graduate StudentsA Mathematics Primer for Physics Graduate Students
by ,
The author summarizes most of the more advanced mathematical trickery seen in electrodynamics and quantum mechanics in simple and friendly terms with examples. Mathematical tools such as tensors or differential forms are covered in this text.
(15950 views)
Book cover: An Introduction to Hyperbolic AnalysisAn Introduction to Hyperbolic Analysis
by - arXiv ,
Contents: The hyperbolic algebra as a bidimensional Clifford algebra; Limits and series in the hyperbolic plane; The hyperbolic Euler formula; Analytic functions in the hyperbolic plane; Multivalued functions on the hyperbolic plane; etc.
(6847 views)
Book cover: An Introduction to Topos PhysicsAn Introduction to Topos Physics
by - arXiv ,
The basic notion of how topoi can be utilized in physics is presented here. Topos and category theory serve as valuable tools which extend our ordinary set-theoretical conceptions, can give rise to new descriptions of quantum physics.
(4825 views)
Book cover: Introduction to Quantum IntegrabilityIntroduction to Quantum Integrability
by - arXiv ,
The authors review the basic concepts regarding quantum integrability. Special emphasis is given on the algebraic content of integrable models. A short review on quantum groups as well as the quantum inverse scattering method is also presented.
(4590 views)
Book cover: Feynman Diagrams and Differential EquationsFeynman Diagrams and Differential Equations
by - arXiv ,
The authors review the method of differential equations for the evaluation of D-dimensionally regulated Feynman integrals. After dealing with the technique, we discuss its application in the context of corrections to the photon propagator in QED.
(7304 views)
Book cover: Classical and Quantum Mechanics via Lie algebrasClassical and Quantum Mechanics via Lie algebras
by - arXiv ,
This book presents classical, quantum, and statistical mechanics in an algebraic setting, thereby introducing mathematicians, physicists, and engineers to the ideas relating classical and quantum mechanics with Lie algebras and Lie groups.
(7543 views)
Book cover: Neutrosophic Physics: More Problems, More SolutionsNeutrosophic Physics: More Problems, More Solutions
by - North-European Scientific Publishers ,
Neutrosophic logics is one of the promising research instruments, which could be successfully applied by a theoretical physicist. Neutrosophic logics states that neutralities may be between any physical states, or states of space-time.
(4834 views)
Book cover: Clifford Algebra, Geometric Algebra, and ApplicationsClifford Algebra, Geometric Algebra, and Applications
by - arXiv ,
These are lecture notes for a course on the theory of Clifford algebras. The various applications include vector space and projective geometry, orthogonal maps and spinors, normed division algebras, as well as simplicial complexes and graph theory.
(7534 views)
Book cover: The Landscape of Theoretical PhysicsThe Landscape of Theoretical Physics
by - arXiv ,
This a book is for those who would like to learn something about special and general relativity beyond the usual textbooks, about quantum field theory, the elegant Fock-Schwinger-Stueckelberg proper time formalism, and much more.
(7566 views)
Book cover: Random Matrix Models and Their ApplicationsRandom Matrix Models and Their Applications
by - Cambridge University Press ,
The book covers broad areas such as topologic and combinatorial aspects of random matrix theory; scaling limits, universalities and phase transitions in matrix models; universalities for random polynomials; and applications to integrable systems.
(9816 views)
Book cover: Group TheoryGroup Theory
by - University of Lund ,
The text deals with basic Group Theory and its applications. Contents: Abstract Group Theory; Theory of Group Representations; Group Theory in Quantum Mechanics; Lie Groups; Atomic Physics; The Group SU2: Isospin; The Point Groups; The Group SU3.
(8194 views)
Book cover: Lie Theory and Special FunctionsLie Theory and Special Functions
by - Academic Press ,
The book studies the role played by special function theory in the formalism of mathematical physics. It demonstrates that special functions which arise in mathematical models are dictated by symmetry groups admitted by the models.
(7373 views)
Book cover: Lie Groups in PhysicsLie Groups in Physics
by - Utrecht University ,
Contents: Quantum mechanics and rotation invariance; The group of rotations in three dimensions; More about representations; Ladder operators; The group SU(2); Spin and angular distributions; Isospin; The Hydrogen Atom; The group SU(3); etc.
(8419 views)
Book cover: Partial Differential Equations of Mathematical PhysicsPartial Differential Equations of Mathematical Physics
by - Rice University ,
This course aims to make students aware of the physical origins of the main partial differential equations of classical mathematical physics, including the equations of fluid and solid mechanics, thermodynamics, and classical electrodynamics.
(8789 views)
Book cover: The OctonionsThe Octonions
by - University of California ,
The octonions are the largest of the four normed division algebras. The author describes them and their relation to Clifford algebras and spinors, Bott periodicity, projective and Lorentzian geometry, Jordan algebras, and the exceptional Lie groups.
(12310 views)
Book cover: Introduction to Physics for MathematiciansIntroduction to Physics for Mathematicians
by ,
A set of class notes taken by math graduate students, the goal of the course was to introduce some basic concepts from theoretical physics which play so fundamental role in a recent intermarriage between physics and pure mathematics.
(9545 views)
Book cover: Applications of global analysis in mathematical physicsApplications of global analysis in mathematical physics
by - Publish or Perish, inc ,
The book introduces some methods of global analysis which are useful in various problems of mathematical physics. The author wants to make use of ideas from geometry to shed light on problems in analysis which arise in mathematical physics.
(10075 views)
Book cover: Elements for Physics: Quantities, Qualities, and Intrinsic TheoriesElements for Physics: Quantities, Qualities, and Intrinsic Theories
by - Springer ,
Reviews Lie groups, differential geometry, and adapts the usual notion of linear tangent application to the intrinsic point of view proposed for physics. The theory of heat conduction and the theory of linear elastic media are studied in detail.
(10152 views)
Book cover: Mathematics for the Physical SciencesMathematics for the Physical Sciences
by - Dover Publications ,
The book for the advanced undergraduates and graduates in the natural sciences. Vector spaces and matrices, orthogonal functions, polynomial equations, asymptotic expansions, ordinary differential equations, conformal mapping, and extremum problems.
(33772 views)