141. Notes On Differential Geometry By B. Csikós Notes by Bal¡zs Csik³s. Chapters in PostScript. http://www.cs.elte.hu/geometry/csikos/dif/dif.html

Differential Geometry Budapest Semesters in Mathematics Lecture Notes by Balázs Csikós FAQ: How to read these files? Answer: The files below are postscript files compressed with gzip . First decompress them by gunzip , then you can print them on any postscript printer, or you can use ghostview to view them and print selected (or all) pages on any printer. CONTENTS Unit 1. Basic Structures on R n , Length of Curves. Addition of vectors and multiplication by scalars, vector spaces over R, linear combinations, linear independence, basis, dimension, linear and affine linear subspaces, tangent space at a point, tangent bundle; dot product, length of vectors, the standard metric on R n ; balls, open subsets, the standard topology on R n , continuous maps and homeomorphisms; simple arcs and parameterized continuous curves, reparameterization, length of curves, integral formula for differentiable curves, parameterization by arc length. Unit 2. Curvatures of a Curve Convergence of k-planes, the osculating k-plane, curves of general type in R n , the osculating flag, vector fields, moving frames and Frenet frames along a curve, orientation of a vector space, the standard orientation of R n , the distinguished Frenet frame, Gram-Schmidt orthogonalization process, Frenet formulas, curvatures, invariance theorems, curves with prescribed curvatures.

142. Complex Geometry Of Nature And General Relativity A paper by Giampiero Esposito attempting to give a selfcontained introduction to holomorphic ideas in general relativity. The main topics are complex manifolds, spinor and twistor methods, heaven spaces. http://arxiv.org/abs/gr-qc/9911051

143. Geometry Of Sri Yantra Artistic and Historical Background. Historical Methods of Duplication. Modern Experiments in Construction. http://alumni.cse.ucsc.edu/~mikel/sriyantra/sriyantra.html

Artistic and Historical Background A curiosity: The mathematics of sriyantra by Joseph The geometry of Sri-yantra by Bolton and Macleod Art of Sri Yantra A connection with Indian ragas by Mookerjee Historical Methods of Duplication Construction by Order of Destruction Construction by Order of Creation Modern Experiments in Construction Construction by Checkerboard Construction by Golden Angle Complexity Measure A note on Computational Complexity of Sri Yantra by Kulaichev Bibliography Links please send your feedback to "mikel_maron [at] yahoo [dot] com"

144. All Elementary Mathematics - Online Mathematical School... An online mathematical high school. Arithmetic, algebra, geometry, trigonometry, functions and graphs, analysis. Theory and solving problems. Also has practice exams and math jokes. http://www.bymath.com

Math symbols Jokes Forum About us ... Site map Citizenship In the Mathematics Country! This site is an online mathematical high school where you can study without leaving your home (online education). This site unlike others contains all necessary information of elementary mathematics in full measure. Here You’ll Find Everything: · theory · problems · help · tests · consulting · reference · None of other sites can be compared to this site by width and profundity of the mathematics curriculum consideration. So, if you want to understand and fall in love with elementary mathematics, if you like to master it perfectly and to solve any math problems and to enter any university, then come on! The Site Is For You! Sitting in front of the computer, you'll be able to fulfill any math homework, to raise your marks at school and to comprehend the curriculum of the high school. You'll feel that there are no secrets in mathematics for you. The site will answer all your questions, be your consultant and assistant in studying, it is real preparatory school. Here you'll find necessary information and be able to deepen your knowledge in all basic sections of elementary mathematics: arithmetic, algebra, geometry, trigonometry, functions and graphs, principles of analysis and so on. You'll be ready to pass any mathematical tests and exams. The site is conducted by a scientist and a professor experienced in preparing students for the best universities. He is cognizant of the all levels of the mathematics curriculum.

145. Journal Of Differential Geometry Home Page Contents from vol.44 (1996). Full text to subscribers. http://www.intlpress.com/journals/JDG/

©Lehigh University ISSN 0022-040X International Press presents Journal of Differential Geometry About the Journal of Differential Geometry How do I subscribe? Who is involved in the JDG? ... License

146. Mathematik.com Individual pages on different topics in Mathematics. Examples group theory, dynamical systems theory, geometry or number theory. http://www.mathematik.com/

Mathematik.com Search: Gradus Suavitatis Fermat zu Diophant Turing Billiard ... Oliver Knill

147. Index Of /~cramer/RelViz/text/exhib1 An exhibition on relativistic computer dynamics used to present the theory of black holes. http://www.astro.ku.dk/~cramer/RelViz/text/exhib1

Index of /~cramer/RelViz/text/exhib1 Name Last modified Size Description ... Parent Directory 22-Sep-1999 08:23 - contents.pl 14-Jun-1996 23:34 1k exhib1.css 14-Jun-1996 23:34 1k exhib1.html 15-Jun-1996 01:41 4k images.aux 14-Jun-1996 23:34 1k images.log 14-Jun-1996 23:34 3k images.pl 14-Jun-1996 23:34 1k images.tex 14-Jun-1996 23:34 1k img1.gif 14-Jun-1996 23:34 1k img2.gif 14-Jun-1996 22:15 1k img3.gif 14-Jun-1996 22:15 1k img4.gif 14-Jun-1996 22:15 1k img5.gif 14-Jun-1996 23:07 1k img6.gif 14-Jun-1996 23:07 1k img7.gif 14-Jun-1996 23:07 1k img8.gif 14-Jun-1996 22:16 1k img9.old 14-Jun-1996 22:15 1k node1.html 14-Jun-1996 23:34 2k sections.pl 14-Jun-1996 23:34 1k test.gif 14-Jun-1996 23:23 1k Apache/1.3.26 Server at www.astro.ku.dk Port 80

148. Arithmetic Algebraic Geometry A European network of 12 working groups from 6 countries. http://www.arithgeom-network.univ-rennes1.fr/

A Research Training Network of the European Union Overview Partners Programme Positions Activities Project overview Developing powerful methods taken from geometry to study the arithmetical properties of algebraic equations Algebraic equations and their arithmetical properties have interested mankind since antiquity. One has only to think of the works of Pythagoras and Diophantus, which were a milestone in their time. For many centuries such problems have fascinated both serious mathematicians (Fermat, Gauss, ...) and amateurs alike. However, developments in recent years have transformed the subject into one of the central areas of mathematical research, which has relations with, or applications to, virtually every mathematical field, as well as an impact to contemporary everyday life (for example, the use of prime numbers and factorisation for encoding "smart" cards). The classical treatment of equations by analysis and geometry in the realm of complex numbers in this century has found a counterpart, in the similar theories over finite and p -adic fields, which have particular significance for arithmetic questions. The study of certain functions encoding arithmetic information and generalising the Riemann zeta-function (

149. The Constant Pi The constant p (Greek letter pi) is, classically, defined as the ratio of the The first period, or geometric period, began long ago with the Egyptians, http://numbers.computation.free.fr/Constants/Pi/pi.html

Archimedes ' constant p p And he made a molten sea, ten cubits from the one brim to the other; it was round all about ... and a line ot thirty cubits did compass it round about. - Bible, 1 Kings 7:23 This mysterious 3.141592..., which comes in at every door and window, and down every chimney. Augustus De Morgan (1806-1871) Definitions Geometrical definition The constant p (Greek letter pi ) is, classically, defined as the ratio of the circumference p of a circle to its diameter d p p d p r and, as proved by Archimedes of Syracuse (287-212 BC) in his famous Measurement of a Circle , the same constant is also the ratio of the area A enclosed by the circle to the square of its radius r A p r Archimedes Analytical definition In 1934, the German mathematician Edmund Landau (1877-1938) gave a new and analytical definition based on the cosine function cos t t t t 1/3 (take the 3 first terms of the sequence), from the continuity of the cosine function, the equation cos t = has roots. If t is the smallest positive root of this equation

150. Index Symposium at the University of Durham, UK; 1626 July 2001. http://www.ma.ic.ac.uk/~ivanov/index.htl

Groups, Geometry and Combinatorics University of Durham, Durham, UK July 16-26, 2001 Sponsored by: London Mathematical Society (LMS) The Engineering and Physical Sciences Research Council (EPSRC) Organizers: Sasha Ivanov (Imperial College, London, UK) Martin Liebeck (Imperial College, London, UK) ... Map ABSTRACTS (final) dabstrac.tex dabstrac.dvi This page was created by Denis Ivanov

151. Fractal Screensaver - Fractal Geometry Art - GEOSS Screensaver for Microsoft Windows featuring Julia and Mandelbrot sets, dynamic systems, stereograms, automatons and Lsystems. Includes basics, sample computer code and contact. http://www.canadasmountains.com/fractals/geoss/index.htm

GEOSS Fractal Geometry What The Heck? Instructions Fractal Descriptions Chaos Crystals Dynamic FractalGrams ... Twist Appendix Further Reading Downloads Sample Program System Requirements ... Contact GEOSS: A Fractal Geometry Screensaver A mostly non-Euclidean screen saver. Overview GEOSS The Geometry Screensaver for Microsoft Windows - A set of Fractal Screensavers for Windows that provide endless variety. The programs provide password protection and selectable options to adjust the output to your liking. Explore the worlds of the Julia and Mandelbrot sets, dynamic systems, 3d stereograms, automatons, L-systems and more. Version 1.0.1 var sc_project=209859; All rights of reproduction in other media reserved.

152. Geometry And Topology Of Manifolds Krynica, Poland; 27 April 3 May 2003. http://im0.p.lodz.pl/konferencje/krynica2003/

New: Abstracts and lectures dvi ps pdf Under the auspices of Prof. Jan Krysiñski Rector of the Technical University of £ódŸ

153. Universal Connections - Connecting People To Purpose GeoTran uses sacred geometry and numeric language to correct and heal misinformation in the energy field. Edmonton, Alberta, Canada. http://universalconnections.org/

SPECIAL INVITATION Click to Go Here Edmonton, Alberta, Canada Updated: March 11, 2005 Web Site by: Danie Hardie Creative Communications Ltd.

154. Home Page J. S. Milne. Includes preprints and course notes on Group Theory, Fields and Galois Theory, Algebraic geometry, Algebraic Number Theory,Modular Functions and Modular Forms, Elliptic Curves, Abelian Varieties, Etale Cohomology, and Class Field Theory. http://www.jmilne.org/math/

155. Geometry And Disorder From Membranes To Quantum Gravity European Science Foundation research network. http://www.esf.org/physical/pn/GeoDis/Geodisa.htm

156. BIOMETRICS: HAND GEOMETRY Michigan State University http://biometrics.cse.msu.edu/hand_geometry.html

HAND GEOMETRY By Arun Ross and Anil Jain Hand Geometry: This approach uses the geometric shape of the hand for authenticating a user's identity. Authentication of identity using hand geometry is an interesting problem. Individual hand features are not descriptive enough for identification. However, it is possible to devise a method by combining various individual features to attain robust verification. Hand Geometry vs Fingerprints: Unlike fingerprints, the human hand isn't unique. One can use finger length, thickness, and curvature for the purposes of verification but not for identification. For some kinds of access control like immigration and border control, invasive biometrics (eg., fingerprints) may not be desirable as they infringe on privacy. In such situations it is desirable to have a biometric system that is sufficient for verification. As hand geometry is not distinctive, it is the ideal choice. Furthermore, hand geometry data is easier to collect. With fingerprint collection good frictional skin is required by imaging systems, and with retina-based recognition systems, special lighting is necessary. Additionally, hand geometry can be easily combined with other biometrics, namely fingerprint. One can envision a system where fingerprints are used for (infrequent) identification and hand geometry is used for (frequent) verification. Past Projects: A Hand Geometry-Based Verification System: This project explores the use of hand geometry as a measure of a person's identity. The system consists of an acquisition device that captures the top view and side view of a user's right hand as he places it on the flat surface of the device. A snapshot of the user's hand is taken for processing. A set of features have been identified that could be used to represent a person's hand. These features include the lengths and widths of the fingers at various locations.

157. Home Page For Arthur Baragar University of Nevada, Las Vegas. Number theory, arithmetic geometry, and algebraic geometry. Personal background and mathematical links. http://www.nevada.edu/~baragar/

158. Commencement pi, Students use learning technologies to make and verify geometric conjectures . pi, Students justify the procedures for basic geometric constructions. http://www.nyiteez.org/MarcoPoloNY/mathcommenceB.htm

new york web alignment ~ mathematics marcopolo ny mathematics Main Menu MST Standard Three: Mathematics Students will understand mathematics and become mathematically confident by communicating and reasoning mathematically, by applying mathematics in real-world settings, and by solving problems through the integrated study of number systems, geometry, algebra, data analysis, probability and trigonometry. Key Idea Students use mathematical reasoning to analyze mathematical situations, make conjectures, gather evidence, and construct an argument. PI Students construct simple logical arguments. Lesson Four: Gallery Walk Generating and Analyzing Data PI Students follow and judge the validity of arguments.

159. Differential Gometry And General Relativity A course from the Department of Mathematics at Hofstra University on differential geometry and general relativity. 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

160. Katia Consani's Home Page University of Toronto. Arithmetic geometry, number theory, noncommutative geometry. http://www.math.toronto.edu/kc/

Katia Consani Associate Professor Mailing Address Department of Mathematics University of Toronto (SS 4046) 100 St. George Street Toronto, ON M5S-3G3, CANADA How to reach me Office : Sidney Smith Hall 4046 Phone Fax E-mail : kc `at' math.toronto.edu Links UofT Math Department home page Research Research area Arithmetic geometry. My curriculum vitae 2nd Workshop on Non-Commutative Geometry and Number-Theory at MPIM-Bonn: June 14-18, 2004. Organizers: A. Connes, Y. Manin, M. Marcolli, K. Consani. Announcement on the web-page at MPIM-Bonn 1st Workshop on Non-Commutative Geometry and Number-Theory at MPIM-Bonn: August 18-22, 2003. Organizers: Y. Manin, M. Marcolli, K. Consani.

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