Logo

Geometry & Physics

e-books in Geometry & Physics category

Book cover: Geometry and Topology in Electronic Structure TheoryGeometry and Topology in Electronic Structure Theory
by - University of Trieste ,
From the table of contents: Introduction; Early discoveries; Berry-ology (geometry in nonrelativistic quantum mechanics); Manifestations of the Berry phase; Modern theory of polarization; Quantum metric and the theory of the insulating state.
(4048 views)
Book cover: First Steps Towards a Symplectic DynamicsFirst Steps Towards a Symplectic Dynamics
by - arXiv ,
Both dynamical systems and symplectic geometry have rich theories and the time seems ripe to develop the common core with integrated ideas from both fields. We discuss problems which show how dynamical systems and symplectic ideas come together.
(5611 views)
Book cover: Topology and Physics: A Historical EssayTopology and Physics: A Historical Essay
by - arXiv ,
In this essay we wish to embark on the telling of a story which, almost certainly, stands only at its beginning. We shall discuss the links and the interaction between one very old subject, physics, and a much newer one, topology.
(7500 views)

Book cover: Geometry, Topology and PhysicsGeometry, Topology and Physics
by - Technische Universitat Wien ,
From the table of contents: Topology (Homotopy, Manifolds, Surfaces, Homology, Intersection numbers and the mapping class group); Differentiable manifolds; Riemannian geometry; Vector bundles; Lie algebras and representations; Complex manifolds.
(9946 views)
Book cover: Edinburgh Lectures on Geometry, Analysis and PhysicsEdinburgh Lectures on Geometry, Analysis and Physics
by - arXiv ,
These notes are based on a set of six lectures that the author gave in Edinburgh and they cover some topics in the interface between Geometry and Physics. They involve some unsolved problems and they may stimulate readers to investigate them.
(4301 views)
Book cover: Geometry in PhysicsGeometry in Physics
by ,
Contents: Exterior Calculus (Exterior Algebra, Differential forms in Rn, Metric, Gauge theory); Manifolds (Basic structures, Tangent space); Lie groups (Lie group actions, Lie algebras, Lie algebra actions, From Lie algebras to Lie groups).
(6056 views)
Book cover: Geometry and Group TheoryGeometry and Group Theory
by - Texas A&M University ,
Lecture notes on Geometry and Group Theory. In this course, we develop the basic notions of Manifolds and Geometry, with applications in physics, and also we develop the basic notions of the theory of Lie Groups, and their applications in physics.
(11413 views)
Book cover: Lectures on Calabi-Yau and Special Lagrangian GeometryLectures on Calabi-Yau and Special Lagrangian Geometry
by - arXiv ,
An introduction to Calabi-Yau manifolds and special Lagrangian submanifolds from the differential geometric point of view, followed by recent results on singularities of special Lagrangian submanifolds, and their application to the SYZ Conjecture.
(6625 views)
Book cover: Lectures on complex geometry, Calabi-Yau manifolds and toric geometryLectures on complex geometry, Calabi-Yau manifolds and toric geometry
by - arXiv ,
These are introductory lecture notes on complex geometry, Calabi-Yau manifolds and toric geometry. We first define basic concepts of complex and Kahler geometry. We then proceed with an analysis of various definitions of Calabi-Yau manifolds.
(4142 views)
Book cover: Introduction to Braided Geometry and q-Minkowski SpaceIntroduction to Braided Geometry and q-Minkowski Space
by - arXiv ,
Systematic introduction to the geometry of linear braided spaces. These are versions of Rn in which the coordinates xi have braid-statistics described by an R-matrix. From this starting point we survey the author's braided-approach to q-deformation.
(3899 views)
Book cover: An Introduction to Noncommutative Spaces and their GeometryAn Introduction to Noncommutative Spaces and their Geometry
by - arXiv ,
These lectures notes are an introduction for physicists to several ideas and applications of noncommutative geometry. The necessary mathematical tools are presented in a way which we feel should be accessible to physicists.
(6884 views)
Book cover: Noncommutative Geometry, Quantum Fields and MotivesNoncommutative Geometry, Quantum Fields and Motives
by - American Mathematical Society ,
The unifying theme of this book is the interplay among noncommutative geometry, physics, and number theory. The two main objects of investigation are spaces where both the noncommutative and the motivic aspects come to play a role.
(6311 views)
Book cover: Noncommutative GeometryNoncommutative Geometry
by - Academic Press ,
The definitive treatment of the revolutionary approach to measure theory, geometry, and mathematical physics. Ideal for anyone who wants to know what noncommutative geometry is, what it can do, or how it can be used in various areas of mathematics.
(7326 views)
Book cover: Geometry of Quantum MechanicsGeometry of Quantum Mechanics
by - Stockholms universitet, Fysikum ,
These are the lecture notes from a graduate course in the geometry of quantum mechanics. The idea was to introduce the mathematics in its own right, but not to introduce anything that is not directly relevant to the subject.
(7946 views)
Book cover: The Geometrization of PhysicsThe Geometrization of Physics
by - University of California at Irvine ,
The major goal of these notes is to develop an observation that not only can gauge fields of the Yang-Mills type be unified with the Einstein model of gravitation, but also that when this unification is made they are described by pure geometry.
(6968 views)
Book cover: Lectures on the Geometry of QuantizationLectures on the Geometry of Quantization
by - University of California at Berkeley ,
An introduction to the ideas of microlocal analysis and the related symplectic geometry, with an emphasis on the role which these ideas play in formalizing the transition between the mathematics of classical dynamics and that of quantum mechanics.
(6833 views)
Book cover: Differential Geometry in PhysicsDifferential Geometry in Physics
by - University of North Carolina at Wilmington ,
These notes were developed as a supplement to a course on Differential Geometry at the advanced undergraduate level, which the author has taught. This texts has an early introduction to differential forms and their applications to Physics.
(11504 views)