This textbook deals with tensors that are treated as vectors. Coverage details such new tensor concepts as the rotation of tensors, the transposer tensor, the eigentensors, and the permutation tensor structure. The book covers an existing gap between the classic theory of tensors and the possibility of solving tensor problems with a computer. A complementary computer package, written in Mathematica, is available through the Internet.
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From the reviews:
"The book bridges a gap between the classical theory of tensors and the possibility of solving tensor problems with a computer. ... For the first time, tensor contraction is formulated in terms of matrix operations. ... Addressed primarily to students of engineering, applied mathematics and mathematical physics, this unconventional approach to tensors is original for its orientation, its novel concepts, the choice of notation and the stretching-condensing techniques applied to most of the transformations used." (Bulletin Bibliographique, 51:1-2, 2005)
"In this textbook, the authors present a new and, to some extent, unconventional approach to tensors ... . This volume gives a thorough treatment of the topic of sensors. ... the exposition of the book is a very transparent one and a pleasure to read. ... Primary addressees of the book are (graduate) students in applied mathematics, mathematical physics, and engineering sciences as well. Moreover, the book can be recommended without reservations to instructors ... ." (A. R. Kräuter, Internationale Mathematische Nachrichten, Issue 203, 2006)
"The book bridges a gap between the classical theory of tensors and the possibility of solving tensor problems with a computer. ... For the first time, tensor contraction is formulated in terms of matrix operations. ... Addressed primarily to students of engineering, applied mathematics and mathematical physics, this unconventional approach to tensors is original for its orientation, its novel concepts, the choice of notation and the stretching-condensing techniques applied to most of the transformations used." (Bulletin Bibliographique, 51:1-2, 2005)
"In this textbook, the authors present a new and, to some extent, unconventional approach to tensors ... . This volume gives a thorough treatment of the topic of sensors. ... the exposition of the book is a very transparent one and a pleasure to read. ... Primary addressees of the book are (graduate) students in applied mathematics, mathematical physics, and engineering sciences as well. Moreover, the book can be recommended without reservations to instructors ... ." (A. R. Kräuter, Internationale Mathematische Nachrichten, Issue 203, 2006)