141. -= Ewa Schmeidel =- Homepage Pozna University of Technology. Difference equations. http://ewa.schmeidel.pl/

142. PHASER Scientific Software A Universal Simulator For Dynamical Systems http://www.phaser.com

143. DIFFERENTIAL EQUATIONS AND OSCILLATIONS Many problems in physics are described by differential equations. As a complete discussion of differential equations is beyond the scope of this chapter we will deal only with linear first and second order ordinary differential equations. http://www.physics.orst.edu/~rubin/nacphy/ComPhys/DIFFEQ/mydif2/

DIFFERENTIAL EQUATIONS AND OSCILLATIONS The differential nature of these physical laws in turn may be a reflection of our use of continuous variables like position and probability. (The use of differential equations may also reflect traditionally-trained physicists viewing problems in differential forms). As a complete discussion of differential equations is beyond the scope of this chapter we will deal only with linear first and second order ordinary differential equations. We start with deriving two methods to solve first order differential equations numerically ( Euler and Runge-Kutta ). These methods can be extended to solve second order differential equations which we will do using the harmonic oscillator and the realistic pendulum as examples. First Order Differential Equation Method Numeric, Euler's Algorithm Project Assessment ... First Order Differential Equation Author: Rubin H. Landau rubin@physics.orst.edu WWW Implementation: Hans Kowallik, Manuel Paez kowallih@ucs.orst.edu

144. Fields Institute - Scientific Programs 00-01 Partial Differential Equations Fields Institute, Toronto; 1621 April 2001. http://www.fields.utoronto.ca/programs/scientific/00-01/differential_equations/

Home About Us Centre for Mathematical Medicine Mathematics Education ... Search SCIENTIFIC PROGRAMS AND ACTIVITIES October 31, 2010 Partial Differential Equations in Mathematical Physics April 16-21, 2001 Schedule Speaker Abstracts Participants Visitor Information Organizing Committee: Walter Craig (McMaster University) Catherine Sulem (University of Toronto) Overview: This workshop will be focused on the theory of PDE and their applications to problems in mathematical physics and applied mathematics. The analysis of PDEs and their applications has grown to be an enormous and many-faceted discipline. It furthermore has had a direct impact on theoretical areas of other physical sciences, as well as engendering advances in fields of engineering and technological areas of industry. Our purpose is to provide for modes of cross-fertilization between a number of fields of PDE. This workshop is intended to bring together a prominent group of researchers in analysis, mathematical physics and applied mathematics, to present current work in their particular area of PDE, and to communicate the most important theoretical and applications oriented developments. The broad scope of the areas within PDE that are represented among the proposed participants and speakers is intended to create a spirit of exchange of information and ideas between specialized areas.

145. [math/9906155] Lectures On Pseudo-differential Operators These lecture notes cover a first year graduate course that was given on pseudo-differential operators. The calculus on manifolds is developed and applied to prove propagation of singularities and the Hodge decomposition theorem. http://arxiv.org/abs/math.AP/9906155

arXiv.org math Search or Article-id Help Advanced search All papers Titles Authors Abstracts Full text Help pages Full-text links: Download: PDF PostScript Other formats Current browse context: math new recent NASA ADS 1 blog link ... what is this? Bookmark what is this? Mathematics > Analysis of PDEs Title: Lectures on Pseudo-differential Operators Authors: M. S. Joshi (Submitted on 23 Jun 1999) Abstract: This lecture notes cover a Part III (first year graduate) course that was given at Cambridge University over several years on pseudo-differential operators. The calculus on manifolds is developed and applied to prove propagation of singularities and the Hodge decomposition theorem. Problems are included. Subjects: Analysis of PDEs (math.AP) MSC classes: Cite as: arXiv:math/9906155v1 [math.AP] Submission history From: Mark S. Joshi [ view email Wed, 23 Jun 1999 13:41:14 GMT (125kb,S) Which authors of this paper are endorsers? Link back to: arXiv form interface contact

146. Differential Gometry And General Relativity An introduction to differential geometry and general relativity by Stefan Waner at Hofstra. This is an upper level undergraduate mathematics course which assumes a knowledge of calculus and some linear algebra. http://people.hofstra.edu/faculty/Stefan_Waner/diff_geom/tc.html

Introduction to Differential Geometry and General Relativity Lecture Notes by Stefan Waner, Department of Mathematics, Hofstra University These notes are dedicated to the memory of Hanno Rund. TABLE OF CONTENTS 1. Preliminaries: Distance, Open Sets, Parametric Surfaces and Smooth Functions 2. Smooth Manifolds and Scalar Fields 3. Tangent Vectors and the Tangent Space 4. Contravariant and Covariant Vector Fields ... Download the latest version of the differential geometry/relativity notes in PDF format References and Suggested Further Reading (Listed in the rough order reflecting the degree to which they were used) Bernard F. Schutz, A First Course in General Relativity (Cambridge University Press, 1986) David Lovelock and Hanno Rund, Tensors, Differential Forms, and Variational Principles (Dover, 1989) Charles E. Weatherburn, An Introduction to Riemannian Geometry and the Tensor Calculus (Cambridge University Press, 1963) Charles W. Misner, Kip S. Thorne and John A. Wheeler, Gravitation (W.H. Freeman, 1973) Keith R. Symon

147. Differential Geometry Several books by Peter W. Michor et al. including Foundations of Differential Geometry , Natural operations in differential geometry (corrected version), Transformation Groups , and Gauge theory for fiber bundles plus papers by the author in postscript. http://www.mat.univie.ac.at/~michor/listpubl.html

Publications of Peter W. Michor Reviews on articles of Peter Michor in Zentralblatt-MATH Reviews on articles of Peter Michor in MathSciNet (Mathematical Reviews). Call and technical advise to scan and put pre-TeX publications on the web. Monographs and Lecture Notes [K] Estestvenye operatii v diferencial'noy geometrii. Russian Translation of [F]. Seriya monografii "Metody matematicheskogo modelirovaniya", Vol. 10, TIMPANI, Kiev-Moskva, 2001, 447 pp. ISBN 966-7649-10-5 MMM-10 [I] Peter W. Michor: Transformation groups. Lecture Notes of a course in Vienna, (1993, 1997), 94 pp., (pdf) [H] Peter W. Michor: Topics in Differential Geometry. Graduate Studies in Mathematics, Vol. American Mathematical Society, Providence, 2008. Ordering is possible by internet: http://www.ams.org/customers/ . Order Code: GSM/93. Reviews: MAA [G] Andreas Kriegl, Peter W. Michor: The Convenient Setting of Global Analysis. Mathematical Surveys and Monographs , Volume: , American Mathematical Society, Providence, 1997. 618 pages. Z 889.58001, MR 98i:58015 Hardcover. ISBN: 0-8218-0780-3. Order Code: SURV/53.

148. UCLA Oral Radiology, ORAD.ORG Assists in generating a differential diagnosis for radiographic lesions of the jaws. http://www.orad.org/

Oral Radiographic Differential Diagnosis Created by Stuart C. White, DDS, PhD Scripting by William L. Scheding Illustrations by Brad deCaussin Also see... UCLA Home UCLA Dentistry Home Dental Departments Oral Radiology Home Please send comments to: Stuart White UCLA School of Dentistry Los Angeles, CA 90095-1668 USA Welcome to the web version of ORAD II This program is intended to serve as an aid to the clinician. It is NOT a substitute for professional judgment. This program is shared for the purpose of advancing oral radiology. It may not be sold or used commercially. Users are encouraged to suggest improvements. Begin ORAD How to: Enter Patient Information Obtain A Differential Diagnosis This page is part of ORAD for the Web created by William L. Scheding wls@orad.org Last modified July 9, 2005

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