181. DeveloCAD.com - The CAD Componenents Company Graphics libraries for Delphi developers, such as an OpenGL canvas, hidden lines algorithms, and geometry data management. http://www.develocad.com/

DeveloCAD.com - the cad components company about products download forum ... home DeveloCAD.com - The CAD components T he software division of IBAG AG (DeveloCAD.com) is a young company with very experienced developers. Our strengths are flexibility, practice and an absolute concentration on offering user- and developerfriendly tools. L et us know your experiences with our tools. That's what we would need to help you and to support you. Let us be a part of your development and let us assist you. Whatever questions or suggestions you will have - don't hesitate to inform develocad.com HiddenLines - the math way C alculating hidden lines based on pure mathematics is a very important feature for a variety of applications. Use this library for controlling industrial plotters, generating your own device outputs. Additionally you will find the complete commands to control an OpenGL based hiddenline buffer for fast screen output.

182. 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

183. Thabit Gives information on background and contributions to noneuclidean geometry, spherical trigonometry, number theory and the field of statics. Was an important translator of Greek materials, including Euclid's Elements, during the Middle Ages. http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Thabit.html

Al-Sabi Thabit ibn Qurra al-Harrani Born: 826 in Harran, Mesopotamia (now Turkey) Died: 18 Feb 901 in Baghdad, (now in Iraq) Click the picture above to see a larger version Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Thabit ibn Qurra was a native of Harran and a member of the Sabian sect. The Sabian religious sect were star worshippers from Harran often confused with the Mandaeans (as they are in [1]). Of course being worshipers of the stars meant that there was strong motivation for the study of astronomy and the sect produced many quality astronomers and mathematicians. The sect, with strong Greek connections, had in earlier times adopted Greek culture, and it was common for members to speak Greek although after the conquest of the Sabians by Islam, they became Arabic speakers. There was another language spoken in southeastern Turkey, namely Syriac, which was based on the East Aramaic dialect of Edessa. This language was Thabit ibn Qurra's native language, but he was fluent in both Greek and Arabic. Some accounts say that Thabit was a money changer as a young man. This is quite possible but some historians do not agree. Certainly he inherited a large family fortune and must have come from a family of high standing in the community.

184. Private Page Berge University Bordeaux. Algebraic number theory and geometry of numbers. Publications, recent work, and links. http://www.math.u-bordeaux.fr/~berge/

phone: +33-5-56-84-61-31 (From France : 05-56-84-61-31) fax : +33-5-56-84-69-50 (From France : 05-56-84-69-50) berge@math.u-bordeaux.fr Laboratoire A2X 33405, Talence cedex France Math-info, bibli I am a Mathematics professor at the University Bordeaux 1. My general field of research is number theory. After working for several years on algebraic number theory (Galois module structures, regulators and discriminants), I am presently interested in geometry of numbers. Links to WEB pages of some mathematicians working on lattices and coding theory. Christine Bachoc Richard Borcherds Renaud Coulangeon Noam Elkies ... P. H. Tiep Publications Liste des publications. Format dvi postscript Recent work Perfect Lattices having a prescribed perfect section with the same norm. Classification of positive forms having prescribed automorphisms, Contemporary Mathematics, Volume 249 (1999), 199204. Symplectic lattices, Contemporary Mathematics, Volume 272 (2000), 922. J. Th. Nombres Bordeaux, Volume 12, (2000), 281291. Symmetric Groups and Lattices (avec J. Martinet)

185. Michael Volpato Princeton University. Arithmetic geometry. http://www.volpato.net/michael/

Home Mathematics Music Section: Buff ... Google Michael Volpato Well somehow, through the ether, you have discovered my home-page. Feel free to browse around, there is not much here at the moment... that's not to say that one day there will be something here! What is here is mostly for my benefit, not yours. :p However, since you came all this way, let me tell you a bit about myself: I am a pure mathematician, more specifically, I am an arithmetic geometer, well, more truthfully, a budding arithmetic geometer. I am Australian. I was born in Cambridge, UK. I grew up in Hobart, Tasmania (Australia). I completed my undergraduate studies in mathematics at the University of Melbourne. After which I did a Master's degree (in mathematics, of course) at Macquarie University, Sydney, Australia. I am now a first year PhD student in mathematics at Princeton University, Princeton, NJ, USA. My avocation from number theory is progressive DJing. Sooner or later I'll include some streams and pictures of my DJing exploits. I'm also an avid weightlifter, and I enjoy doing various martial arts: Tae Kwon-Do, Kung-Fu, and I dabble in Brazilian Jui Jitsu. Though various injuries have prevented me from doing so for a while.

186. Anngeo Trento, Italy; 1115 June 2001. http://www.science.unitn.it/cirm/anngeo.html

187. MG Metric Geometry Metric geometry section of the mathematics eprint arXiv. http://front.math.ucdavis.edu/math.MG

Fri 11 Jun 2004 Search Submit Retrieve Subscribe ... iFAQ MG Metric Geometry Calendar Search Authors: AB CDE FGH IJK ... U-Z New articles (last 12) 8 Jun math.MG/0406098 Curved Hexagonal Packings of Equal Disks in a Circle. B. D. Lubachevsky , R. L. Graham Discrete MG 8 Jun math.MG/0406093 The Beckman-Quarles theorem for continuous mappings from C^n to C^n. Apoloniusz Tyszka . 7 pages. MG GM 3 Jun math.MG/0406031 Planar Clusters. Aladar Heppes , Frank Morgan . 13 pages. MG 25 May math.MG/0405441 Local Covering Optimality of the Leech Lattice. Achill Schuermann , Frank Vallentin . 6 pages. MG CO Cross-listings 8 Jun math.CO/0406125 Lower bound for the maximal number of facets of a 0/1 polytope. D. Gatzouras , A. Giannopoulos , N. Markoulakis . 19 pages. CO MG 2 Jun math.DG/0406017 Proof of the Double Bubble Conjecture. Michael Hutchings , Frank Morgan , Manuel , Antonio Ros . 31 pages. Ann. of Math. (2), Vol. 155 (2002), no. 2, 459489. DG MG 2 Jun math.DG/0406008 Boundary case of equality in optimal Loewner-type inequalities. Victor Bangert , Christopher Croke , Sergei V. Ivanov , Mikhail G. Katz . 20 pages. DG AT GT MG 1 Jun math.DG/0405583

188. MODULAR FORMS AND THEIR APPLICATIONS A summer school for students in number theory, algebra and algebraic geometry. Sophus Lie Conference Center, Nordfjordeid, Norway; 1620 August 2004. http://www.math.uio.no/div/nordfjordeid/modular.html

SUMMER SCHOOL MODULAR FORMS AND THEIR APPLICATIONS 16.-20. August 2004 Sophus Lie Conference Center, Nordfjordeid, Norway Lecturers: Don Zagier (MPI, Bonn) Organizing committee: Sponsors: Program: The summer school is particularly aimed at students in number theory, algebra and algebraic geometry. The course will consist of three intertwined lecture series, "Elliptic modular forms and their applications" (Don Zagier) "Hilbert modular forms and their applications" (Jan Bruinier) "Siegel modular forms and their applications" (Gerard van der Geer) The first of these will treat the classical one-variable theory and some of its many applications in number theory (representations of numbers by quadratic forms, irrationality and transcendence results, moments of periodic functions, ...), algebraic geometry (counting of coverings of curves), and mathematical physics (appearance of modular forms in percolation theory, string theory, etc.) The second, which has a more geometric flavor, will give an introduction to the theory of Hilbert modular forms in two variables (i.e., over real quadratic fields), the geometry of Hilbert modular surfaces, and to Borcherds products and the Borcherds lifting. The third will give an introduction to Siegel modular forms (both scalar- and vector-valued) and present a beautiful application to the theory of curves of finite fields (Harder's conjecture).

189. ThinkQuest : Library : Ptolemy's Ptools Using tools of yesterday, and tools specially created for this site, Ptolemy Ptools will give you geometry projects to do with your 3D computer games as well as projects to take outside and explore the world. http://library.thinkquest.org/19029/

Index Math Geometry Ptolemy's Ptools Ever wonder how high a cloud is? You can calculate altitude right from your own backyard and this site will tell you how. It will also show you how to have fun while completing math projects. Learn more about Claudius Ptolemy, a famous Greek mathematician. Check out quadrants and the properties of triangles. Do math projects which measure trees, buildings, cloud altitude, wind speed, and the altitude of a model rocket flight. Visit Site 1998 ThinkQuest Internet Challenge Languages English Students Corey home schooled Carl home schooled Coaches Kye Palm Beach County Library, West Palm Beach, FL, United States Shelley home schooled Want to build a ThinkQuest site? The ThinkQuest site above is one of thousands of educational web sites built by students from around the world. Click here to learn how you can build a ThinkQuest site. Privacy Policy

190. Natural Operations In Differential Geometry Natural operations in differential geometry by Ivan Kolar, Jan Slovak and Peter W. Michor published by SpringerVerlag in 1993. DVI, PostScript and PDF. http://rattler.cameron.edu/EMIS/monographs/KSM/

The Electronic Library of Mathematics Mathematical Monographs For fastest access: Choose your nearest mirror site! Natural operations in differential geometry by Ivan Kolar, Jan Slovak and Peter W. Michor Paper version originally published by Springer-Verlag, Berlin, Heidelberg, New York, 1993 ISBN 3-540-56235-4 (Germany) Download the whole book as one file: HYPER-DVI ] (838,207 bytes) Postscript ] (1,330,587 bytes) PDF ] (2,945,143 bytes) The aim of this book is threefold: First it should be a monographical work on natural bundles and natural operators in differential geometry. This is a field which every differential geometer has met several times, but which is not treated in detail in one place. Let us explain a little, what we mean by naturality. Second this book tries to be a rather comprehensive textbook on all basic structures from the theory of jets which appear in different branches of differential geometry. Even though Ehresmann in his original papers from 1951 underlined the conceptual meaning of the notion of an $r$-jet for differential geometry, jets have been mostly used as a purely technical tool in certain problems in the theory of systems of partial differential equations, in singularity theory, in variational calculus and in higher order mechanics. But the theory of natural bundles and natural operators clarifies once again that jets are one of the fundamental concepts in differential geometry, so that a thorough treatment of their basic properties plays an important role in this book. We also demonstrate that the central concepts from the theory of connections can very conveniently be formulated in terms of jets, and that this formulation gives a very clear and geometric picture of their properties.

191. [quant-ph/9509002] The Real Symplectic Groups In Quantum Mechanics And Optics A comparison of symplectic geometry with Euclidean or unitary geometries in quantum physics and optics http://arxiv.org/abs/quant-ph/9509002

Quantum Physics, abstract quant-ph/9509002 From: [ view email ] (ARVIND) Date: Mon, 4 Sep 95 21:20 PDT (28kb) Date (revised): Wed, 6 Sep 95 14:45 PDT Date (revised): Fri, 24 Nov 1995 19:53:30 GMT The Real Symplectic Groups in Quantum Mechanics and Optics Authors: Arvind B. Dutta N. Mukunda R. Simon Comments: Review article 43 pages, revtex, no figures, replaced because somefonts were giving problem in autometic ps generation Journal-ref: Pramana 45 (1995) 471 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) Which authors of this paper are endorsers? Links to: arXiv quant-ph find abs

192. Native American Geometry A physical, proportional geometry that originates from the simple circle. http://www.earthmeasure.com/

Endorsements References Endorsements References N ATIVE AMERICAN GEOMETRY is a physical, proportional geometry that originates from the simple circle. A growing body of architectural and iconographic evidence from Native America suggests it was a relatively common tradition that has been practiced for at least two thousand years. This is the same type of geometry that was discovered and developed by the ancestors of many peoples in many places, from China to the Mediterranean Basin to the British Isles. Currently, it resides among the logo designers of Madison Avenue. Generally, it maintains a similar methodological structure to the Middle Eastern tradition of classical geometry that is limited to operations carried out by the compass and straightedge, or two sticks and a rope. In the anthropological world, there are generally two ways traditions come into being in any particular culture: diffusion or borrowing from another culture; and, independent invention or discovery. Did the geometry have a single source and diffuse around the world over a period of several millennia? Or is there something about it, like stone working techniques, that made it independently accessible to the human mind in diverse cultures and civilizations? Personally, I believe the geometry was discovered independently by widely disparate cultures. Why? Because this type of proportional geometry originates with the circle, one of the most popular and multi-cultural symbols in the human world. It is a shape that served as a foundation for countless domestic and ceremonial structures. Given the intimate relationship between the circle's radius and the hexagon, it is an argument I can live with, for now. This opinion does not exclude instances of cultural diffusion within specific geographic regions.

193. Conformal Geometry And Dynamics Contents, abstracts. Full text to subscribers http://www.ams.org/ecgd/

Journals Home Search Author Info Subscribe ... Help ISSN 1088-4173 Most recent volume All volumes About this journal Journal overview Editorial board Copying and reprinting Publishing cycle Subscription information Subscribe from the AMS bookstore Electronic Journals Online Subscription Agreement For authors Initial submission Author packages Permissions Where to send files for accepted papers ... Information for authors on submitting citations Comments: webmaster@ams.org Privacy Statement Search the AMS

194. The Geometry Junkyard: Tilings A collection of links. http://www.ics.uci.edu/~eppstein/junkyard/tiling.html

Tiling One way to define a tiling is a partition of an infinite space (usually Euclidean) into pieces having a finite number of distinct shapes. Tilings can be divided into two types, periodic and aperiodic, depending on whether they have any translational symmetries . If these symmetries exist, they form a lattice . However there has been much recent research and excitement on aperiodic tilings (which lack such symmetries) and their possible realization in certain crystal structures. Tilings also have connections to much of pure mathematics including operator K-theory, dynamical systems, and non-commutative geometry. Aperiodic colored tilings Also available in postscript An aperiodic set of Wang cubes , J. UCS 1:10 (1995). Culik and Kari describe how to increase the dimension of sets of aperiodic tilings, turning a 13-square set of tiles into a 21-cube set. Aperiodic space-filling tiles: John Conway describes a way of glueing two prisms together to form a shape that tiles space only aperiodically. Ludwig Danzer speaks at NYU on various aperiodic 3d tilings including Conway's biprism.

195. Contests Weekly contest for elementary, middle school, algebra, and geometry students. Includes an archive of past problems. http://www.olemiss.edu/mathed/contest/contests.htm

HOME PAGE Math Resources Past Problems ... Math. Ed The Problem of the Week is an educational web site that originates at the University of Mississippi. If you or someone you know would like to sponsor this educational project, please contact David Rock at rockd@olemiss.edu

196. [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://arxiv.org/abs/gr-qc/9804039

General Relativity and Quantum Cosmology, abstract gr-qc/9804039 From: Kirill Krasnov [ view email ] Date ( ): 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

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