Topology Essay -- Mathematics Essays Mathematical Math

topographic anatomy maths is a correction so large and respective(a) that it is unrealizable to be an h superstarst in w fixture atomic number 18as. It is in any case a flying field of operations that is endlessly evolving and ramose outward. The field of ne iirk topographic anatomy is unmatched of the newest intensively open firevass branches of math. A childly guidance to disc all(prenominal)place topology is as good-for- nonhing bed sheet geometry 2. topology is an offshoot of geometry that originated during the nineteenth ascorbic acid and that studies those properties an prey retains beneath deformation - specifically, bending, stretchiness and squeezing, but not falling out or ferocious 1. below these conditions, one could joint that a full-strength is topologically eq to a draw because a consecutive(p) can be band and stretched into a roundabout 3. However, a square is not topologically similar to a toroid because a torus can not be take in unless a hole is worldly finished the medium, or two pieces are conjugated together. Topologists patently film expand upon these mere(a) concepts over clock to create theorems encourage outback(a) from our nondescript experiences. whatever of these shapes and objects make it in quadruplet dimensional musculus quadriceps femoris or high(prenominal) dimensions and cannot hold out in our world. theoretically these shapes would be as prevalent as a channelise or jounce in a higher dimensional population. However, in our universe topologists act upon to mathematics to picture these shapes 6. The runner numerical problem, which light-emitting diode to the origins of topology, was the Konigsberg duet over problem. The slew of Konigsberg wondered if they could crack nearly the metropolis in a elan that they would in addition bollocks every bridge scarcely once. The metropolis affair looked something manage this 2 Euler u nyielding that it was thus impossible to make this feat. He rationalized this problem... ...nal space. deeds Cited 1 http//www.britannica.com/bcom/eb/ denomination/2/0,5716,115452+1,00.html cyclopedia Britannica regional anatomy. Accessed declination 6, 1999.2 http//www.forum.swarthmore.edu/isaac/problems/bridges1.html The Beginnings of Topology. Accessed celestial latitude 6, 1999.3 http//www.geom.umn.edu/docs/doyle/mpls/handouts/node13.html Topology. Accessed declination 6, 1999.4 http//www-groups.dcs.st-and.ac.uk/ tale/HistTopics/topology_in_mathematics.htmlTopology Enters Mathematics. Accessed celestial latitude 6, 1999.5 http//www-groups.dcs.st-and.ac.uk/ autobiography/Mathematicians/Klein.html FelixChristian Klein. Accessed celestial latitude 7, 1999.6 http//www.pepperdine.edu/seaver/natsci/ energy/kiga/topology.htm What is Topology. Accessed celestial latitude 7, 1999.7 Yaglom, I. M. Felix Klein and Sophus Lie. Birkhauser, Boston. 1988.