Linear Vector Spaces and Cartesian Tensors

Neuausgabe 1997
ISBN: 978-0-19-511254-2
Verlag: OXFORD UNIV PR

Buch, Englisch, 128 Seiten, Format (B × H): 154 mm x 242 mm, Gewicht: 408 g

Designed for a first year graduate course in Mechanics, this text brings together never before collected works on linear vector spaces, on which the author is a world renowned authority. It is primarily concerned with finite dimensional real Euclidean spaces, with Cartesian tensors viewed as linear transformations of such a space into itself, and with applications of these notions, especially in mechanics. The geometric content of the theory and the distinction between matrices and tensors are emphasized, and absolute- and component- notation are both employed. Problems and solutions are included.

Designed for a first year graduate course in Continuum Mechanics, Fluid Mechanics, or Solid Mechanics, this text brings together never collected works on Linear Vector Spaces, on which the author is a world renowned authority. It is primarily concerned with finite dimensional real Euclidean spaces, with Cartesian tensors viewed as linear transformations of such a space into itself, and with applications of these notions, especially in mechanics. The geometric content of the theory and the distinction between matrices and tensors are emphasized, and absolute- and component- notation are both employed. Problems and solutions are included.

Autoren/Hrsg.

Knowles, James K.

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis
• Naturwissenschaften Chemie Chemie Allgemein Chemometrik, Chemoinformatik
• Naturwissenschaften Physik Mechanik
• Mathematik | Informatik Mathematik Algebra Homologische Algebra
• Mathematik | Informatik Mathematik Geometrie Euklidische Geometrie
• Naturwissenschaften Biowissenschaften Angewandte Biologie Biomathematik