Islam N. Tensors and Their Applications

Cambridge University Press, 2011. — 208 p. — ISBN: 0521193699. Vectors and tensors are among the most powerful problem-solving tools available, with applications ranging from mechanics and electromagnetics to general relativity. Understanding the nature and application of vectors and tensors is critically important to students of physics and engineering. Adopting the same...

Springer, 2009. - 247 pages. There is a large gap between the engineering course in tensor algebra on the one hand and the treatment of linear transformations within classical linear algebra on the other hand. The aim of the book is to bridge this gap by means of the consequent and fundamental exposition. The book is addressed primarily to engineering students with some initial...

World Scientific Publishing Company, 2010. - 380 pages. The tensorial nature of a quantity permits us to formulate transformation rules for its components under a change of basis. These rules are relatively simple and easily grasped by any engineering student familiar with matrix operators in linear algebra. More complex problems arise when one considers the tensor fields that...

Springer-Verlag, Berlin, 2005, 670 pages This textbook, deals with tensors that are treated as vectors, and has a practical orientation. In addition to dealing with the classical topics of tensor books, new tensor concepts are introduced, such as the rotation of tensors, the transposer tensor, the eigentensors, the permutation tensor structure, etc. The book covers an existing...

2nd edition. — Springer-Verlag, 1994. — 123 p. — ISBN: 0-387-94088-X. In this text which gradually develops the tools for formulating and manipulating the field equations of Continuum Mechanics, the mathematics of tensor analysis is introduced in four, well-separated stages, and the physical interpretation and application of vectors and tensors are stressed throughout. This new...

Учебное пособие для вузов. — М.: Высшая школа, 2001. — 575 с. Учебное пособие охватывает основные разделы тензорного исчисления, используемые в механике и электродинамике сплошных сред, механике композитов, кристаллофизике, квантовой химии: алгебру тензоров, тензорный анализ, тензорное описание кривых и поверхностей, основы тензорного интегрального исчисления. Изложена теория...