21. Geometry And Topology - Numericana 'Final answers' by Dr. Gerard P. Michon to a few questions about geometry in 2 or 3 dimensions (or more). Curves, surfaces, polyhedra and topology. geometry and topology. Center of an arc determined with straightedge and compass UC Irvine). geometry and topology. ( E. C http://home.att.net/~numericana/answer/geometry.htm

home index units counting ... physics Final Answers , Ph.D. Geometry and Topology Center of an arc determined with straightedge and compass. Surface areas : Circle, trapezoid, triangle, sphere, frustum, cylinder, cone... Special points in a triangle . Euler's line and Euler's circle. Elliptic arc : Length of the arc of an ellipse between two points. Perimeter of an ellipse . Exact formulas and simple ones. Circumference of an ellipse : Unabridged discussion. Surface area of an ellipsoid of revolution (oblate or prolate spheroid). Surface area of a general ellipsoid Surface of an ellipse Quadratic equations in the plane describe ellipses, parabolas, or hyperbolas. Volume of an ellipsoid [spheroid]. Centroid of a circular segment . Find it with Guldin's (Pappus) theorem. Focal point of a parabola . y = x / 4f (where f is the focal distance Parabolic telescope : The path from infinity to focus is constant. Make a cube go through a hole in a smaller cube Octagon : The relation between side and diameter. Areas of regular polygons of unit side For a regular polygon of given perimeter , the more sides the larger the area. Curves of constant width : Triangroller (Reuleaux Triangle), Pentagroller, etc.

22. Topology And Geometry Software topology and geometry software This World Wide Web (WWW) site features online activities and games for exploring symmetries in 2 and 3-dimensional space with torus and Klein bottle figures. The http://rdre1.inktomi.com/click?u=http://www.northnet.org/weeks/&y=028ED88E38

23. Projects In Topology, Geometry And Combinatorics, Department Of Mathematics, Uni This page describes the researchprojects of the topology, geometry and Combinatorics Group in the Mathematics Department, University of Manchester, UK. http://www.maths.man.ac.uk/DeptWeb/Groups/Pure/TopologyProjects.html

DEPARTMENT OF MATHEMATICS Projects in Topology, Geometry and Combinatorics Projects with Peter Eccles Ron Ledgard Nige Ray Igor Rivin ... Grant Walker , and Reg Wood The following list gives outlines of some representative MPhil and PhD projects for which we offer supervision. The list is not exhaustive, and we are always willing to listen to constructive requests and suggestions on related topics! We all enjoy working with postgraduate students, so if you fancy the thought of researching into one or more of these areas, send us a message now. If you feel you need further information before making an application, we are likely to invite you to Manchester at our expense and talk through the possibilities with you in person; we will arrange for you to meet some of our current students, who will also show you around. Projects with Peter Eccles SELF-INTERSECTIONS OF IMMERSIONS: Examples of immersions are given by the figure eight in the plane (an immersion of the circle with one double point), by the usual picture of the Klein bottle in three-space (which has a circle of double points), and by Boy's surface, a model of the projective plane in three-space with an immersed circle of double points and a single triple point. Although my initial research concerned the homotopy of infinite loop spaces (see the projects on coherence ), I was amazed to discover applications to the study of manifolds which arise as the self-intersections of immersions; these led me to the solution of problems which had been outstanding since the pioneering work of Hassler Whitney in the 1940s. My viewpoint combines many fundamental aspects of algebraic and differential topology, and offers projects which involve aspects of those in

24. Texas Geometry And Topology Conference Held twice a year. Includes almost all universities and colleges in Texas, Arkansas, Louisiana, New Mexico, and Oklahoma. Since 1994, fall meetings have been national events, attracting participants from around the country. http://www.math.tamu.edu/research/workshops/TGTC/

Texas Geometry and Topology Conference Serving the Mathematical Community Since 1989 Mission Statement The Texas Geometry and Topology Conference is dedicated to the enhancement of both the educational and the research atmosphere of the community of geometers and topologists in Texas and surrounding states. The Conference has three specific goals: The Conference is committed to bring researchers of national and international stature to the region to discuss their research and to interact with mathematicians from Texas and surrounding states. The Conference makes it possible for the community of geometers and topologists from Texas and surrounding states (a huge geographic region) to meet and share mathematics on a regular basis, which both stimulates individual research and generates productive cooperative efforts between schools. The Conference is dedicated to the development of graduate students and young faculty in geometry and topology. Upcoming and Recent Conferences 31th Meeting at Texas Christian University , February 27-29, 2004. ( Conference report 30th Meeting at Rice University , October 31-November 2, 2003. (

25. Oporto Meetings On Geometry, Topology And Physics Formerly Meetings on Knot Theory and Physics held annually in Oporto, Portugal to bring together mathematicians and physicists interested in the interrelation between geometry, topology and physics. http://www.math.ist.utl.pt/~jmourao/om/

Oporto Meetings on Geometry, Topology and Physics Oporto Meetings on Geometry, Topology and Physics (formerly known as the Oporto Meetings on Knot Theory and Physics) take place in Oporto, Portugal, every year. The aim of the Oporto meetings is to bring together mathematicians and physicists interested in the inter-relation between geometry, topology and physics and to provide them with a pleasant and informal environment for scientific interchange. Next Meeting (July 16-19, 2004) XIIth Meeting (July 17-20, 2003) ... Main Page of TQFT Club Free Counter from Counterart

26. Lehigh University Geometry And Topology Conference Lehigh University geometry and topology Conference. Dates June 1012, 2004. The conference will start at 1100 am on Thursday, June 10. http://www.lehigh.edu/~dlj0/geotop.html

Lehigh University Geometry and Topology Conference Dates: June 10-12, 2004 The conference will start at 11:00 am on Thursday, June 10. The first talk will begin at 11:00 Thursday (this is a change from previous years), and the last talk will end before 5:00 Saturday, June 12. Principal Speakers Colin Adams, Williams College A pictorial survey of hyperbolic knots 11:00 Thurs. Yair Minsky, Yale Univ. Surfaces in hyperbolic 3-manifolds 1:30 Thurs Wolfgang Ziller, Univ. of Pennsylvania Manifolds with positive sectional curvature 9:00 Fri Shing-Tung Yau, Harvard Univ. Positivity of local mass 1:30 Fri Jesper Grodal, Univ. of Chicago Lie groups from the homotopy viewpoint 9:00 Sat (note change of time) Peter Li, Univ. of California, Irvine Rigidity and structure of manifolds with positive spectrum 1:30 Sat (note change of time) Previous Principal Speakers In addition, there will be parallel sessions of 40-minute contributed talks, divided roughly into Differential and Complex Geometry, Algebraic Topology, and Geometric Topology. Breakfast will be provided Friday and Saturday mornings, and lunch will be provided Thursday, Friday and Saturday noons. Dinner will be the only meal not provided gratis. On Thursday, expeditions to nearby restaurants will be arranged, followed by a party. On Friday there will be a banquet at a cost of $30. On-campus housing is available at subsidized rates.

27. Topology/Geometry Seminar topology/geometry Seminar. Organizer Paul Feehan, Steve Ferry, Xiaochun Rong, Chris Woodward email feehan,sferry,fluo,rong and ctw http://www.math.rutgers.edu/~seminars/TopologyGeometry.html

Topology/Geometry Seminar Organizer Paul Feehan, Steve Ferry, Xiaochun Rong, Chris Woodward email: feehan,sferry,fluo,rong and ctw@math.rutgers.edu (all same e-mail) Speaker Dai Xian-zhe, UCSB Title Stability of compact Ricci flat manifolds Time/place Monday, 5/3/2004 4:30pm * in Hill 423 Abstract In studying variations problems on scalar curvature, Kazdan-Warner asked if the Lichnerowicz Laplacian, which essentially governs the second variation, is positive semidefinite for compact Ricci flat manifolds. We show that the answer is yes if the manifold admits a nonzero parallel spinor(all known examples of compact Ricci flat manifolds are of this type). The result can be used to study positive scalar curvature and scalar flat metrics on such manifolds. This is joint work with Xiaodong Wang and Guofang Wei. NOTE: Last seminar of the semester Speaker Cao Huai-dong, Lehigh University Title Gaussian densities and stability of Ricci solitons Time/place Tuesday, 4/27/2004 3:00pm in Hill 525 Abstract Speaker Wei-Dong, Ruan, UIC

28. Home Page Of Misha Kapovich University of Utah. Lowdimensional geometry and topology. http://www.math.utah.edu/~kapovich/

Home Page of Misha Kapovich Department of Mathematics 155 South 1400 East JWB University of Utah Salt Lake City, UT 84112 Tel : +1 801 - 581 7916 Fax: +1 801 - 581 4148 I have moved to the University of California in Davis Research interests: Low dimensional geometry and topology. Kleinian groups and hyperbolic manifolds in all dimensions. Representation varieties of finitely generated groups. Configuration spaces of elementary geometric objects like arrangements and mechanical linkages. Fundamental groups of Kahler manifolds and smooth algebraic varieties. Manifolds of nonpositive curvature and quasi-isometries. Geometric group theory. My electronic preprints List of publications Teaching: Geometric group theory Math. 7853, Fall 2002 Linear Algebra Math. 2270-2, Fall 2002 Old classes Foundations of geometry Math. 3100-1, Spring 2003 Links: Math Reviews math eprints History of Mathematics weather ... Currency Converter News: CNN Debka RFE/RF Russia Journal ... BBC Search engines: Alta-Vista Google Hotboot Yahoo! ... Yellowpages Escher's zoo: Penguins in the hyperbolic plane Crocodiles in the Euclidean plane Hodge-podge theory This is where I am from (the motherland of all elephants)

29. Danny Calegari's Home Page Specializes in topology and classical geometry. Department of mathematics. California Institute of Technology. http://www.its.caltech.edu/~dannyc/

Danny Calegari's Home Page Danny Calegari 251 Sloan Department of Mathematics California Institute of Technology Pasadena CA 91125 Contents Curriculum Vitae Publications and work to appear Papers in progress and submission Miscellaneous mathematics ... Schedule Curriculum Vitae My Curriculum Vitae is available in TeX pdf , or HTML Publications and work to appear Short Stories (excerpts) The Green Light - short story, published in The Age newspaper, January 1993 The Rubbernecks - short story, published in Quadrant magazine, January 1994 Pantopia(tm) - short story, published in Southerly quarterly journal, June 1994 The Intermediary - short story, published in Overland magazine, Summer 1993 Mathematical Papers Note: .tex files are LaTeX; .tar files contain .eps figures. Uncompress .gz files with gunzip filename.tar.gz and then .tar files with tar -xvf filename.tar Strong geometric isolation in 3-orbifolds Bull. Austral. Math. Soc. (1996), no.2, 271-280 Foliations transverse to triangulations of 3-manifolds Comm. Anal. Geom. (2000), no.1, 133-158

30. Gokova Geometry / Topology Conferences G¶kova, Turkey; 28 May 2 June 2001. http://arf.math.metu.edu.tr/~gokova/

Guidelines for authors Previous meetings Travel and local info Contact address Announcement May 24 - May 29 (2004) Guidelines for authors Download the macro package (40K - updated Aug 2003) and extract the files into a new directory. Previous meetings TUBITAK . In the previous meetings topics of discussion ranged from the Topology of Low Dimensional Manifolds, Gauge Theory, Quantum Field Theory, Geometric PDE's, Seiberg-Witten Theory and Symplectic Topology to Mathematical Physics. International Press Travel and local info - location of Gokova, how to get there, where to stay. Contact address e-mail: gokova@arf.math.metu.edu.tr mailing address: Prof. Turgut Onder Department of Mathematics Middle East Technical University 06531 Ankara Turkiye Prof. Selman Akbulut Department of Mathematics Michigan State University East Lansing, MI 48824-1027 USA Last updated:May 2004

31. Popular Texts Textbook in Problems on Elementary topology by Viro, Ivanov, Kharlamov and Netsvetaev draft version in postscript. The page also includes several papers on real algebraic geometry. http://www.math.uu.se/~oleg/educ-texts.html

Textbook in Problems on Elementary Topology by O.Ya.Viro, O.A.Ivanov, V.M.Kharlamov and N.Y.Netsvetaev. This is a textbook on Elementary Topology. Still, it is not finished. Hopefully, it will not be yet another textbook. Here is Foreword where we describe the collection of pedagogical ideas and tricks, which can give the first impression about the project. To find out more, take a look on the Table of Contents I would appreciate any criticism, or suggestions either on the general principles or any specific part of the text. The last version of the whole book (a PostScript file) can be taken here Russian version, which is even less complete, can be found here. Configurations of Skew Lines in the 3-Dimensional Space This is a survey of results on projective configurations of subspaces in general position written by Julia Viro and Oleg Viro in the form of a popular introduction to the subject, with much of the material accessible to advanced high school students. However, in the part of the survey concerning configurations of lines in general position in three-dimensional space we give a complete exposition. The same paper in postscript format: Interlacings of Skew Lines Introduction into Topology of Real Algebraic Varieties Postscript files of the first sections of this text: The Early Topological Study of Real Algebraic Plane Curves A Real Algebraic Curve from the Complex Point of View The Topological Point of View on Prohibitions Patchworking A popular paper concerning a technique for constructing real algebraic varieties by gluing pieces together and counter-examples to the oldest conjecture about topology of real algebraic curves (published in the Intelligencer).

32. Topology And Geometry Of Real Algebraic Varieties topology and geometry of Real Algebraic Varieties. February 23, 2004 to February 27, 2004. Organized by Viatcheslav Kharlamov, Boris Shapiro, and Oleg Viro is to highlight these developments under the general title of topology and geometry of real algebraic varieties. http://www.msri.org/calendar/workshops/WorkshopInfo/254/show_workshop

Calendar Topology and Geometry of Real Algebraic Varieties February 23, 2004 to February 27, 2004 Organized by: Viatcheslav Kharlamov, Boris Shapiro, and Oleg Viro The topological study of real algebraic varieties originated in work of Harnack, Klein, and Hilbert in the late 19th century on real algebraic plane curves. Current interest involves many different, but interacting topics including real algebraic varieties in higher dimensions, real J-holomorphic curves and real symplectic geometry, enumerative real algebraic geometry, constructions of varieties with prescribed topology, amoebas, and tropical algebraic geometry. The aim of the workshop is to highlight these developments under the general title of Topology and geometry of real algebraic varieties. A (preliminary) list of invited speakers includes: F. Catanese (Bayreuth) A. Eremenko (Purdue) C. Viterbo (Orsay) C. McCrory (Athens, GA) G. Mikhalkin (Salt Lake City, St.Petersburg) S. Orevkov (Toulouse) M. Passare (Stockholm) J. Welschinger (Lyon) The conference will also include shorter talks by others.

33. Topology, Geometry And Quantum Field Theory Home topology, geometry and Quantum Field Theory. topology, geometry and Quantum Field Theory. Proceedings of the 2002 Oxford Symposium http://books.cambridge.org/0521540496.htm

Home > Topology, Geometry and Quantum Field Theory Topology, Geometry and Quantum Field Theory Proceedings of the 2002 Oxford Symposium in Honour of the 60th Birthday of Graeme Segal Edited by U. L. Tillmann Published July 2004 590 pages 50 line diagrams 1 half-tone For price and ordering options, inspection copy requests, and reading lists please select: UK North America The symposium held in honour of the 60th birthday of Graeme Segal brought together leading physicists and mathematicians. Its topics were centred around string theory, M-theory, and quantum gravity on the one hand, and K-theory, elliptic cohomology, quantum cohomology and string topology on the other. Geometry and quantum physics developed in parallel since the recognition of the central role of non-abelian gauge theory in elementary particle physics in the late seventies and the emerging study of super-symmetry and string theory. With its selection of survey and research articles these proceedings fulfil the dual role of reporting on recent developments in the field and defining directions for future research. For the first time Graeme Segal’s manuscript ‘The definition of Conformal Field Theory’ is published, which has been greatly influential over more than ten years. An introduction by the author puts it into the present context. Contributors Michael Atiyah, Michael Hopkins, Nils Baas, Bjorn Dundas, John Rognes, David Ben-Zvi, Edward Frenkel, Yuri Berest, George Wilson, Ralph Cohen, Veronique Godin, Robbert Dijkgraaf, Dusa McDuff, Gregory Moore, Jack Morava, Stephan Stolz, Peter Teichner, Dennis Sullivan, Constantin Teleman, Michael S. Weiss, Edward Witten, Graeme Segal

34. The Topology/geometry Group At NTNU topology and geometry is not touched on properly in the first years of study at NTNU, and if you are curious as to what important branch of mathematics you are http://www.math.ntnu.no/mat/top/

The Topology seminar Courses offered in topology/geometry (in Norwegian) Mangfoldigheter Analyse på mangfoldigheter Generell topologi Algebraisk topologi ... Lie teori Members baas at math.ntnu.no dundas at math.ntnu.no Kristian Gjøsteen kristiag at math.ntnu.no ... eldars at math.ntnu.no Past events The symposium in algebraic K-theory and homotopy theory in Trondhjem, November 5th-6th 1998 The topology symposium, Trondhjem, November 16th-17th 1999 The topology symposium, Trondhjem, November 9th-10th 2000 Guests ... What is topology? by Neil Strickland Hatcher's book Algebraic topology and more. Online topology textbooks The logo of the department of mathematics, the borromean rings, is an interesting example of problems arising in geometry and topology. The three rings are arranged so that no two are linked, but due to the limitations of the three-dimensional space we live in, together they form a figure that cannot be pulled apart. At present there are five PHD students in the group. Topology and geometry is not touched on properly in the first years of study at NTNU, and if you are curious as to what important branch of mathematics you are missing out on, please do not hesitate to contact one of us. The course in manifold theory is supposed to be one possible point of entry for budding topologists and geometers, as well as others who plan to study one of the many fields using concepts and results from geometry and topology.

35. Electronic Geometry Models This archive is open for any geometer to publish new geometric models, or to browse this site for material to be used in education and research. These geometry models cover a broad range of mathematical topics from geometry, topology, and to some extent from numerics. http://www.eg-models.de/

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36. Teichmüller Spaces And Applications To Topology, Geometry, And Dynamics: Four T Teichmuller Spaces and Applications to topology, geometry, and Dynamics book by John Hubbard, to be published by Matrix Editions. http://matrixeditions.com/Teichmuller.html

Serious mathematics, written with the reader in mind. Matrix Editions Home Contact Us Please write! Orders in the US ... Orders to other countries Current Books Vector Calculus Praise from Readers Student Solution Manual Future Books Sign up to be notified Advanced Calculus Functional Analysis Complex Dynamics ... War and Peace in America, 1853-1868 Errata Solution Manual Vector Calculus Sign up for notices Math Links ... Other Books Matrix Editions future books Four Theorems by William Thurston By John H. Hubbard with contributions by Adrien Douady and William Dunbar Sylvain Bonnot, David Brown, Allan Hatcher, Chris Hruska, and Sudeb Mitra Tentative publication date: fall, 2004 From the introduction Between 1970 and 1980, William Thurston flabbergasted the mathematical world by announcing the four theorems discussed in this book: The classification of homeomorphisms of surfaces. The topological characterization of rational maps.

37. (UK) University Of Glasgow geometry and Algebraic topology. http://www.maths.gla.ac.uk/research/groups/geoalgtop/geoalgtop.html

38. Penn State University Topology And Geometry Seminar Penn State University. topology/geometry Seminar. Thursdays 505–555 PM. Click here for a list of previous speakers in the topology/geometry Seminar. http://math.aa.psu.edu/~gtseminar/

39. Previous Speakers In The Topology/Geometry Seminar History of the topology/geometry Seminar. Fall 2003 Speakers. 20022003 Speakers. 2001-2002 Speakers. 2000-2001 Speakers. 1999-2000 Speakers. 1998-1999 Speakers. http://math.aa.psu.edu/~gtseminar/previous.html

40. Topology/Geometry II (MAT 531) Subsections Typical references topology/geometry II (MAT 531). Differentiable 1979;; Glen Bredon,topology and geometry, SpringerVerlag, 1993. http://www.math.sunysb.edu/docs/grad-handbook/main/Topology_Geometry_II_MAT.html

Algebra I (MAT 534, Fall semester) CORE COURSE CURRICULA Topology/Geometry I (MAT 530) Subsections Typical references: Topology/Geometry II (MAT 531) Differentiable manifolds and maps Inverse and implicit function theorems Submanifolds, immersions and submersions The tangent bundle Vector bundles, transition functions Reconstruction of a vector bundle from transition functions Equivalence classes of curves and derivations; tangent vectors The tangent bundle of a manifold as a vector bundle, examples Vector fields, differential equations and flows Lie derivatives and bracket Differential forms Exterior differential, closed and exact forms Distributions, foliations and Frobenius integrability theorem Integration Stokes' Theorem Integration and volume on manifolds De Rham cohomology Chain and cochain complexes Homotopy theorem The degree of a map The Mayer-Vietoris theorem Typical references: Michael Spivak, A Comprehensive introduction to differential geometry nd ed., Publish or Perish, Berkeley 1979; Glen Bredon, Topology and geometry Springer-Verlag, 1993.

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