{"product_id":"generalized-curvature-and-torsion-in-nonstandard-analysis-von-ibrahim-othman-hamad-und-tahir-hassan-ismail","title":"Generalized Curvature and Torsion in Nonstandard Analysis","description":"\u003cp\u003eThe two notions of curvature and torsion have a  great role in differential geometry and they have  more applications in different scientific areas  like: computer vision image improvement, dielectric  surfaces, chemical interatomic surfaces, biological  membranes, and double bubbles). There are several classical studies of curvature and  some nonstandard studies about differential  geometry, but none of them treated the problem of  curvature at or near singular points. Black holes  are one of a real examples about singularity which  has highly energy at its singular point that make  hastily change of the value of the curvature of any  curve pass throughout it. Our investigation throughout this book is to use  nonstandard tools for treating such problems, the  study of this subject leads to introduce a more  general definition about curvature and torsion which  enable us to find the curvature and torsion values  of points includes in an infinitesimal neighborhood  of singularities rather than, finding the value of  it at ordinary points.\u003c\/p\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783844307634\"\u003e\u003ch3\u003eNonstandard Technical Treatment for Some Differential Geometry Concepts\u003c\/h3\u003e\u003c\/div\u003e","brand":"Autorenwelt Shop","offers":[{"title":"Softcover - 9783844307634","offer_id":39469958463581,"sku":"9783844307634","price":59.0,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/6b4d31b6-6b25-4568-9e86-871201b9e847.jpg?v=1773122026","url":"https:\/\/shop.autorenwelt.de\/products\/generalized-curvature-and-torsion-in-nonstandard-analysis-von-ibrahim-othman-hamad-und-tahir-hassan-ismail","provider":"Autorenwelt Shop","version":"1.0","type":"link"}