21. Riemannian Geometry And General Relativity Riemannian geometry and general Relativity (Differential geometry2, MTH 3412, Winter 1997 ) http://www.math.neu.edu/~bratus/diffgeom/intro.htm

Riemannian Geometry and General Relativity (Differential Geometry-2, MTH 3412, Winter 1997 ) Professor M.Shubin Course Description: Riemannian geometry is designed to describe the universe of creatures who live on a curved surface or in a curved space and do not know about the world of higher dimensions or do not have any access to it. One of the main notions of the Riemannian geometry is the notion of connection, which is, in fact, the key notion of the entire geometry, though it is not always explicitly formulated. The connection (or parallel transport) allows to compare what is happening at two distant points of a curved space, in spite of the fact that there is no direct and immediate way to communicate between these points. Recently connections appeared in the theory of gauge fields which is considered a basis of the modern physics of elementary particles. Earlier, in the 1910's, A.Einstein discovered that the Riemannian geometry can be successfully used to describe General Relativity which is in fact a classical theory of gravitation. (Here the word ``classical" stands as opposite to ``quantum", but the quantum theory of gravitation is still terra incognita!) By its intrinsic beauty, as well as by wealth of applications the Riemannian geometry lies at the core of modern mathematics.

22. Explorer: Investigating Acceleration. Integrating Mathematics And Science. Mathematics/geometry/general geometry; Mathematics/geometry/Spatial Sense; Mathematics/geometry/Shapes1 2 and 3 Dimensions/general Shapes and Dimensions; http://unite.ukans.edu/explorer/explorer-db/html/892063126-81EDF7A2.html

Investigating Acceleration. Integrating Mathematics and Science. Click here to receive a 352 KByte "Acrobat" file. Resource Type Lesson Plan Physical Media Downloadable File Grades Description Presents one activity from a larger unit dealing with the laws of motion for high school students. Refers to the work of Galileo, Kepler and Newton. Use of a motion detector provides opportunity for visualizing and calculating velocity and acceleration. Graphs of distance-time or velocity-time can be translated from the actual activity manually or through the use of a graphing calculator. Includes calculation of angles using simple right triangle trigonometry. Lesson outline, as suggested by Project 2061, begins with questions relating to nature and the environment. Emphasis is placed on concept development, historical perspective, team approach, collection and use of evidence, interpretation, written and oral expression and the communication of ideas rather than the memorization of technical vocabulary. Also lists objectives (benchmarks) as they relate to the Michigan Essential Goals and Objectives For Science Education (MEGOSE), and a statement on assessment. Suggestions for supplemental reading are attached. The activity entitled "A Rolling Stone Gathers No Moss. An Investigation In Acceleration" requires the Vernier grouped program called "Physics," which can be located at web site listed. Also requires that the main program "PHYSICS" be installed on the calculator, as well as, subprograms: PHZGRAPH, PHZOPTIO, AND PHYTIMEG in order to take advantage of the many vernier probes.

23. Math And Geometry Helper Javascript generalpurpose calculator and some special-purpose applications. http://www.geocities.com/Vienna/Strasse/7722/math.html

Simple JavaScript Calculator The Pythagorean Theorem -Geometry's most elegant theorem- a(squared) + b(squared) = c(squared) a b Output: Area of polygons! Volume of three dimensional figures Circle Math Area: Diameter: Circumfrence:

24. [gr-qc/9804039] Quantum Geometry And Black Holes Nonperturbative quantum general relativity provides a possible framework to analyze issues related to black hole thermodynamics from a fundamental perspective. http://xxx.lanl.gov/abs/gr-qc/9804039

General Relativity and Quantum Cosmology, abstract gr-qc/9804039 ): Fri, 17 Apr 1998 18:14:15 GMT (72kb) Date (revised v2): Thu, 4 Feb 1999 06:14:52 GMT (72kb) Quantum Geometry and Black Holes Authors: Abhay Ashtekar Kirill Krasnov (Penn State) Comments: 21 pages, 4 figures, published in `Black Holes, Gravitational Radiation and the Universe', Essays in honor of C.V. Vishveshwara, Ed. B.R. Iyer and B. Bhawal, Kluwer, Netherlands Report-no: CGPG-98/4-2 Non-perturbative quantum general relativity provides a possible framework to analyze issues related to black hole thermodynamics from a fundamental perspective. A pedagogical account of the recent developments in this area is given. The emphasis is on the conceptual and structural issues rather than technical subtleties. The article is addressed to post-graduate students and beginning researchers. Full-text: PostScript PDF , or Other formats References and citations for this submission: SLAC-SPIRES HEP (refers to , cited by , arXiv reformatted); CiteBase (autonomous citation navigation and analysis) Links to: arXiv gr-qc find abs

25. Differential Gometry And General Relativity Riemannian geometry and general Relativity. (Differential geometry2, MTH 3412, Winter 1997 http://www.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

26. 2001: A Spacetime Odyssey Two theories revolutionized the 20th century view of space and time Einstein's general Theory of Relativity and Quantum Mechanics. Their union has spawned elementary particle theories with extra spacetime dimensions, the inflationary model of bigbang cosmology, dark matter in the universe, radiation from quantum black holes and the fuzzy spacetime geometry of superstrings and M-theory. http://www.umich.edu/~mctp/sto2001/

Conference Home Scientific Program Schedule of Talks Students ... MCTP Inaugural Conference of the Michigan Center for Theoretical Physics May 21-25, 2001 University of Michigan, Ann Arbor Two theories revolutionized the 20th century view of space and time: Einstein's General Theory of Relativity and Quantum Mechanics. Their union has spawned elementary particle theories with extra spacetime dimensions, the inflationary model of big-bang cosmology, dark matter in the universe, radiation from quantum black holes and the fuzzy spacetime geometry of superstrings and M-theory. These developments, derived from the 19th century mathematics of Riemannian geometry and Lie groups, have in their turn inspired new directions in the pure mathematics of topology and knot theory. In view of the mission of the Michigan Center for Theoretical Physics to provide a venue for interdisciplinary studies in the mathematical sciences, this Inaugural Conference will bring together Astronomers, Cosmologists, Particle Physicists and Mathematicians to share their different perspectives on the 21st century view of spacetime. Invited speakers include: John Bahcall (IAS) Jacob Bekenstein (Jerusalem) Stanley Deser (Brandeis) Paul Frampton (UNC, Chapel Hill)

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28. Supersonic Wing This page explores 2dimensional modeling of supersonic flow over the wing. The general part of page - Java Applet. This package may help 1. calculate and display the graphic of streamline over the wing 2. find thermo-aero-dynamic parameters of flow 3. control airfoil geometry in real-time mode 4. calculate and draw aerodynamic polar http://odin.prohosting.com/~evgenik1/wing.htm

Page is loading. Total size = 61 Kb (Java applet: 24K, Pictures: 16K, Text: 21K). Please wait ... Supersonic Wing ! This page explores quasi two-dimensional calculation of the supersonic flow over a wedge-shaped infinity-span wing Introduction History How To Work with Applet What's in the Result ? ... How To Contact the Author Introduction Whenever a wedge-shaped wing moves faster than the speed of sound M shock waves , series of supersonic expansion waves , and streams intersection appears. With this Applet you can: calculate and display the magical picture of supersonic flow over the wing find the exact values of flow thermo-gas-dynamic parameters in specific areas control wing geometry in "real-time" mode using a "point-and-click" interface calculate and display wave aerodynamic polar of your wing History In 1992, when I was working as an ordinary engineer at "Yakovlev" Aviation Company, my boss asked me to write the program that should estimate the supersonic performance of Yak-141 three-shock variable-geometry supersonic air inlet. It was not too complicated an assignment, and later I decided to implement this functionality in some kind of "real-time" software simulator. This simulator was designed for use by students at the Moscow Aviation Institute in addition to training me in the ways of the C++ Builder :-). How To Work with Applet You may calculate general aerodynamic parameters of the flow part that blows over the wing. There are two mechanisms that you can use to input data into the program.

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30. A Unified Field Theory A mathematical description of nature based on the geometry of SpaceTime. general Relativity,Energy-Stress tensor, a set of current densities and Quantum mechanics for Spin 1 Bosons. Space-Time dimensions calculated and not put in by hand. http://homepage.ntlworld.com/peter.hickman1/

31. DEPARTMENT OF GENERAL TOPOLOGY AND GEOMETRY Department of general Topology and geometry. Members, research interests, seminars. http://www.math.msu.su/English/department/gentopol/gentopol

DEPARTMENT OF GENERAL TOPOLOGY AND GEOMETRY BRIEF HISTORY PRINCIPAL RESEARCH TOPICS STAFF LIST COMPULSORY AND SPECIAL COURSES ... INTERNATIONAL TOPOLOGICAL CONFERENCE DEDICATED TO P.S.ALEXANDROFF'S 100TH BIRTHDAY (Moscow, May 27-31, 1996) MAILING ADDRESS: Department of General Topology and Geometry Faculty of Mechanics and Mathematics Moscow State University Vorobyovy Gory, Moscow 119899 Russia PHONE: FAX: (attn: V.V.Fedorchuk) E-MAIL ADDRESSES We refer those who would like to know more about current events in Topology around the World, to: TOPOLOGY ATLAS TOPOLOGY E-PRINTS Maintained by Andrew N. Yakivchik Please send your comments and suggestions to: anyak@nw.math.msu.su

32. Math Tutoring, CBEST Test Prep, Homeschool, Algebra, Geometry, Elementary, Provides tutoring and instruction for homeschool, k12, in the areas of CBEST test prep, algebra, general math, and geometry. http://www.stephencarr.com/

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Need a tutor? I can help! It is easy to fall behind in a class. Sometimes it is because the teacher's methods don't quite match your learning style. Sometimes it is because you have missed some key point and after that NOTHING makes sense. Maybe you have a big test coming up and you're having trouble staying motivated because you have too many gaps in your knowledge. Why should you study when you can't even decide what the most important points are? You know you don't know, but you're not sure what to learn first. Whatever the reason, it is often helpful to reach out for some one-on-one attention to get back on track. But choosing a tutor can be difficult. A tutor must be knowledgeable, perceptive, able to communicate clearly both verbally and graphically, and above all - patient. Online tutoring with regular, daily contact is an ideal way to clear up misconceptions before they interfere with future learning; as well as to provide motivation to stay caught up.

34. Enumerative Real Algebraic Geometry: Enumerative Problems Not Involving General surface 27, 15, 7, or 3. Recent developments in enumerative geometry (mirror symmetry ofCox and Katz CK.) For example, on a general quintic hypersurface in http://www.math.umass.edu/~sottile/pages/ERAG/S3/2.html

Next: 3.iii. The Stewart-Gough Platform Up: 3. Enumerative Real Algebraic Geometry: Table of Contents Previous: 3.i. Enumerative Real Algebraic Geometry 3.ii. Problems not involving general conditions We give a brief tour of some enumerative problems that do not involve general conditions, but nonetheless raise some interesting questions regarding real solutions. Co ]) showed there are 4 possibilities for the number of real lines on a real cubic surface: 27, 15, 7, or 3. Recent developments in enumerative geometry (mirror symmetry) have led to the solution of a large class of similar enumerative problems involving, among other things, the number of rational curves of a fixed degree on a Calabi-Yau threefold. (See the book of Cox and Katz [ CK ].) For example, on a general quintic hypersurface in P there are 2875 lines [ Harr ], 609,250 conics [ Ka ], and 371,206,375 twisted cubics. The number of twisted cubics and higher degree rational curves was computed in the seminal paper of Candelas, de la Ossa, Green, and Parkes [ COGP ]. How many of the curves can be real in problems of this type? For example, how many real lines can there be on a real quintic hypersurface in

35. About "Geometry/General Geometry" Mathematics Library. geometry/general geometry. Library Home FullTable of Contents Suggest a Link Library Help Visit this http://mathforum.org/library/view/2645.html

Geometry/General Geometry Library Home Full Table of Contents Suggest a Link Library Help Visit this site: http://explorer.scrtec.org/explorer/explorer-db/browse/static/Mathematics/browse/f66.html Author: Explorer Description: ClarisWorks and Acrobat files to download; videotapes. Levels: Elementary Middle School (6-8) High School (9-12) Languages: English Resource Types: Lesson Plans and Activities Math Topics: Fractals Higher-Dimensional Geometry Euclidean Plane Geometry Suggestion Box ... Search http://mathforum.org/ webmaster@mathforum.org

36. Lecture Notes On General Relativity Download lecture notes on special relativity, general relativity, differential geometry, and spherically symmetric spacetimes in postscript format. http://sunkl.asu.cas.cz/~had/gr.html

General Relativity This homepage contains lecture notes on the course of general relativity FX2/H97 read in the fall semester 1997 at the Physics Institute of NTNU, Trondheim. Some parts were added later. It is still under construction (see the dates of last revision of each chapter). Some viewers do not allow to see the PS-files on the screen. However, you can download it (using the 'save'-command) and print it on a PostScript printer. Contents: Introduction Special relativity Basic concepts of general relativity Spherically symmetric spacetimes ... References A supplementary text on lower level can be found in lecture notes on cosmology which was read in the fall semester 1999 as a part of another course. To get more information contact, please, the author. Readers may find interesting also other web-pages on general relativity referred at Hillman's list and Syracuse University list Petr Hadrava, Astronomical Institute of the Academy of Sciences of the Czech Republic, 251 65 Ondrejov, Czech Republic tlf.: +420 204 620 141

37. Alternative Relativitätstheorie, Einie Emissionstheorie. Alternative To Relativ Extinction Shift Principle, the Most Recent Emission Theory; Alternative to both general and Special Relativity in the Electrodynamics of Galilean Transformations for the first time formulated in the intuitive framework of Euclidean Space geometry alone. http://www.extinctionshift.com

alternative emissionstheorie Extinction Shift Principle A pure classical physics look at Electromagnetism and Gravitation in Euclidean Space Emission and Re-emission done correctly!!! derived with No Relativity, No Ether, No non-conventional Physics using step-by-step clear classical approaches only in a recently published book! For nearly a century now, there has been absolutely NO concrete, pure classical treatment to the physics problems pertaining to significant fractions of the velocity of light. No alternative method has been presented that are explainable with simple, intuitive measures without having to resort to the usual framework of Special and General Relativity. There is now a simple, profound and completely overlooked classical alternative to the Special and General Relativity principles. It is the correct alternative that uses only the electrodynamics of Galilean transformations in Euclidean Space Geometry alone according to the principal axioms of the Extinction Shift Principle ; a pure classical physics discipline coined and developed by this author.

38. Mathematics : Geometry : General Subjects Mathematics geometry general. You may browse this categoryby title or by publication date. 2652 titles (showing 120) http://www.allbookstores.com/browse/MAT012000

Search By: Keyword Title Author ISBN This Subject Only Art Children's Books Christian Books History ... Geometry : General You may browse this category by title or by publication date 2692 titles (showing 1-20) *acp Geometry Module For Csu Fresno by Goodman Paperback - August 1998 - 1st Edition List price: $14.00 by Marjorie Price Marjorie Price (Illustrated by) Hardcover - May 1995 List price: $7.95 1998 Foundations of Algebra and Geometry Vd Package Hardcover - January 1998 List price: $280.80 501 Geometry Questions Paperback - August 2002 List price: $12.95 6 Sticks by Molly Coxe Paperback - May 1999 List price: $3.99 6 Sticks by Molly Coxe Hardcover - July 1999 List price: $11.99 6 Sticks by Molly Coxe Other - January 1999 List price: $10.14 6th Annual Symposium on Computational Geometry : Conference Proceedings, Held in Berkeley, CA, June 6-8, 1990 Paperback - June 1990 List price: $32.00 A Random Walk Through Fractal Dimensions by Brian H. Kaye Paperback - May 1994 - 2nd Edition List price: $69.95 Lowest price on 03/31/2003: $65.75

39. Powell's Books - Used, New, And Out Of Print general. Applied Statistics the Sas Programming 4TH Edition by RonaldP Cody; Sacred geometry Philosophy and Practice by Robert Lawlor; http://www.powells.com/psection/Mathematics.html

Technical Books Kids' Books eBooks more search options ... Materials Science Mathematics Mechanical Engineering Media Metal Metaphysics ... Mathematics : the Science of Patterns (97 Edition) by Keith J. Devlin Publisher Comments 'An engaging and attractive presentation of some of the principal ideas of mathematical thought. Keith Devlin has skillfully blended the old and the new.'- Philip J. Davis, Brown University - 'A book such as this belongs in the personal library of... ( read more List Price $19.95 Your Price (Used - Trade Paper) check for new and sale copies Calculus How to Ace Calculus: The Streetwise Guide by Colin C. Adams Publisher Comments Do you remember being hopelessly confused in calculus class? Afterwards, you asked your brainy friend over a cup of coffee. "What was going on in that class?" Your friend then explained it all to you in five minutes flat, making it crystal clear. "Oh... ( read more List Price $14.95 Your Price (Sale - Trade Paper) check for used copies Statistics The Cartoon Guide to Statistics by Larry Gonick Publisher Comments If you have ever looked for P-values by shopping at P mart, tried to watch the Bernoulli Trails on "People's Court," or think that the standard deviation is a criminal offense in six states, then you need The Cartoon Guide to Statistics to put you on the... (

40. Mathematical Sciences Digital Library Catalog of Commercial Products Browse Results geometry and Topology geometry(general) College geometry A Discovery Approach by David Kay , 561 pp http://www.mathdl.org/lcp/browse/lcp/jungeom/

You are not logged in. Log in Register Welcome to the Mathematical Sciences Digital Library Journal of Online Mathematics and its Applications Commercial Products Digital Classroom Resources About MathDL Catalog of Commercial Products Browse Results Geometry and Topology : Geometry (General) College Geometry: A Discovery Approach by David Kay , 561 pp., Hardcover, Addison Wesley, 2001. Euclidean and Non-Euclidean Geometries by Helena Noronha , 432 pp., Hardcover, Prentice Hall, 2002. Experiencing Geometry: In Euclidean, Spherical and Hyperbolic Spaces by David W. Henderson , 352 pp., Hardcover, Prentice Hall, 2001. Geometric Viewpoint, The: A Survey of Geometries by Tom Sibley , Hardcover, Addison Wesley, 1998. Geometry: Theorems and Constructions by Allan Berele , Jerry Goldman , 224 pp., Hardcover, Prentice Hall, 2001.

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