|Book :Introduction to Tensor Calculus for General Relativity
Contents: Tensor Calculus; Hamiltonian Dynamics of Particle Motion; Measuring the Metric, and Curvature versus
Acceleration; Symmetry Transformations, the Einstein-Hilbert Action, and Gauge
Invarian. . . . .
|Book :Handbook of Knowledge Representation
Contents: General Methods in Knowledge Representation and Reasoning;Classes of Knowledge and Specialized Representations; Knowledge Representation in Applications;
|Book :Advection, diffusion and delivery over a network.
Many biological, geophysical and technological systems involve the transport of resource over a network. In this paper we present an algorithm for calculating the exact concentration of resource at an. . . . .
|Book :Title: Relativity and Singularities - A Short Introduction for Mathematicians
We summarize the main ideas of General Relativity and Lorentzian geometry, leading to a proof of the simplest of the celebrated Hawking-Penrose singularity theorems. The reader is assumed to be famili. . . . .
|Book :INTRODUCTION TO ALGEBRAIC TOPOLOGY AND ALGEBRAIC GEOMETRY
These notes assemble the contents of the introductory courses I have been giving at SISSA since 1995/96. Originally the course was intended as introduction to (complex) algebraic geometry for students. . . . .
|Book :Mathematical Physics-II
Contents: Singular points of solutions to analytic differential equations; Monodromy of linear differential operators with rational coefficients.
|Book :Integrable Systems and Riemann Surfaces
Contents: KdV equation and Schr ̈dinger operator; Riemann surfaces and theta-functions; Baker - Akhiezer functions and differential equations.
|Book :Notes on Differential Geometry
These notes are an attempt to summarize some of the key mathematical
aspects of differential geometry, as they apply in particular
to the geometry of surfaces in R3. The focus is not on mathematical. . . . .
|Book :Progress in Time-Dependent Density-Functional Theory
The classic density-functional theory (DFT) formalism introduced by Hohenberg, Kohn, and Sham in the mid-1960s, is based upon the idea that the complicated N-electron wavefunction can be replaced with. . . . .
|Book :Einstein for Everyone
For over a decade I have taught an introductory, undergraduate class, "Einstein for Everyone," at the University of Pittsburgh to anyone interested enough to walk through door. The course is aimed at . . . . .
|Book :General covariance and the foundations of general relativity: eight decades of dispute
Einstein offered the principle of general covariance as the fundamental physical principle of
his general theory of relativity and as responsible for extending the principle of relativity to
acceler. . . . .
|Book :Lecture Notes on Quantum Brownian Motion
Einstein's kinetic theory of the Brownian motion, based upon light water molecules continuously bombarding a heavy pollen, provided an explanation of diffusion from the Newtonian mechanics. Since the . . . . .
|Book :Statistical Mechanics and the Physics of the Many-Particle Model Systems
The development of methods of quantum statistical mechanics is considered in light of their applications to quantum solid-state theory. We discuss fundamental problems of the physics of magnetic mater. . . . .
|Book :Lecture Notes in Statistical Mechanics and Mesoscopics
These are the lecture notes for quantum and statistical mechanics courses that are given by DC at Ben-Gurion University. They are complementary to "Lecture Notes in Quantum Mechanics" [arXiv. . . . .
|Book :Synthetic Geometry of Manifolds
Contents: Calculus and linear algebra; Geometry of the neighbour relation; Combinatorial differential forms; The tangent bundle; Groupoids; Lie theory; non-abelian covariant derivative; Jets and diffe. . . . .