Generalized Curvature and Torsion in Nonstandard Analysis: Nonstandard Technical Treatment for Some Differential Geometry Concepts

 
9783844307634: Generalized Curvature and Torsion in Nonstandard Analysis: Nonstandard Technical Treatment for Some Differential Geometry Concepts
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The 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.

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Ibrahim O. Hamad, Ph.D. : Assistant Professor of Nonstandard analysis (NSA)at the University of Salahaddin-Hawler, college of Science, Mathematics Department in Kurdistan Region-Iraq, interest field: application of NSA in several branches of mathematics. E-mail: ibrahim_othman70@yahoo.com, ibrahim_oth@uni-sci.org

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Book Description Condition: New. Publisher/Verlag: LAP Lambert Academic Publishing | Nonstandard Technical Treatment for Some Differential Geometry Concepts | The 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. | Format: Paperback | Language/Sprache: english | 203 gr | 220x150x7 mm | 140 pp. Seller Inventory # K9783844307634

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Book Description LAP Lambert Acad. Publ. Feb 2011, 2011. Taschenbuch. Condition: Neu. Neuware - The 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. 140 pp. Englisch. Seller Inventory # 9783844307634

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Book Description LAP Lambert Acad. Publ. Feb 2011, 2011. Taschenbuch. Condition: Neu. Neuware - The 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. 140 pp. Englisch. Seller Inventory # 9783844307634

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Book Description LAP Lambert Academic Publishing, Germany, 2011. Paperback. Condition: New. Language: English . Brand New Book. The 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. Seller Inventory # KNV9783844307634

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Book Description LAP Lambert Academic Publishing. Paperback. Condition: New. 140 pages. Dimensions: 8.5in. x 5.8in. x 0.4in.The 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. This item ships from multiple locations. Your book may arrive from Roseburg,OR, La Vergne,TN. Paperback. Seller Inventory # 9783844307634

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