Concepts from Tensor Analysis and Differential Geometry: Mathematics in Science and Engineering, V1 - Couverture rigide

Thomas, Tracy Yerkes

Couverture rigide

ISBN 10 : 1258786850 ISBN 13 : 9781258786854

Editeur : Literary Licensing, LLC, 2013

Synopsis

""Concepts From Tensor Analysis And Differential Geometry: Mathematics In Science And Engineering, V1"" is a comprehensive book that explores the fundamental concepts of tensor analysis and differential geometry, two essential branches of mathematics that have significant applications in science and engineering. The book is authored by Tracy Yerkes Thomas, a renowned mathematician, and expert in the field.The book is divided into two parts, the first part covering tensor analysis, and the second part dealing with differential geometry. The first part of the book introduces the reader to the fundamental concepts of tensors, including tensor algebra, tensor calculus, and the properties of tensors. The second part of the book focuses on differential geometry, including the geometry of curves, surfaces, and manifolds.The book is written in a clear and concise manner, making it accessible to students and professionals alike. It includes numerous examples and exercises to help readers develop a strong understanding of the concepts. The book also includes a comprehensive index and bibliography for further reading.Overall, ""Concepts From Tensor Analysis And Differential Geometry: Mathematics In Science And Engineering, V1"" is an excellent resource for anyone interested in learning about these essential branches of mathematics and their applications in science and engineering.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions, that are true to their original work.

A propos du livre

Présentation de l'éditeur

Concepts from Tensor Analysis and Differential Geometry discusses coordinate manifolds, scalars, vectors, and tensors. The book explains some interesting formal properties of a skew-symmetric tensor and the curl of a vector in a coordinate manifold of three dimensions. It also explains Riemann spaces, affinely connected spaces, normal coordinates, and the general theory of extension. The book explores differential invariants, transformation groups, Euclidean metric space, and the Frenet formulae. The text describes curves in space, surfaces in space, mixed surfaces, space tensors, including the formulae of Gaus and Weingarten. It presents the equations of two scalars K and Q which can be defined over a regular surface S in a three dimensional Riemannian space R. In the equation, the scalar K, which is an intrinsic differential invariant of the surface S, is known as the total or Gaussian curvature and the scalar U is the mean curvature of the surface. The book also tackles families of parallel surfaces, developable surfaces, asymptotic lines, and orthogonal ennuples. The text is intended for a one-semester course for graduate students of pure mathematics, of applied mathematics covering subjects such as the theory of relativity, fluid mechanics, elasticity, and plasticity theory.

Détails de l'édition

• Éditeur: Literary Licensing, LLC
• Date d'édition: 2013
• Langue: anglais
• ISBN 10: 1258786850
• ISBN 13: 9781258786854
• Reliure: Relié
• Nombre de pages: 126
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible