Items related to From Vectors to Tensors (Universitext)
Synopsis
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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About the Author
Enrique Castillo is Professor of Applied Mathematics at the University of Cantabria in Santander (Spain). He is a Mathematician and a Civil engineer and Member of the Spanish Royal Academy of Engineering. He has taught at several other universities in the Europe and America. The author/coauthor of eleven other books in English and fourteen in Spanish, and more than 300 papers in journals and Congresses. More information can be found at his Web site: http://personales.unican.es/castie//.
Juan R. Ruiz-Tolosa is an Industrial and Civil Engineer and has been Professor of Algebra, Tensors, Topology, Differential Geometry and Calculus at the Civil Engineering School, University of Cantabria for 30 years. His field of research includes Number Theory, Euclidean Geometry, Elliptic Integrals, Algebraic Roots of Equations, etc.
Review
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)
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- PublisherSpringer
- Publication date2004
- ISBN 10 354022887X
- ISBN 13 9783540228875
- BindingPaperback
- LanguageEnglish
- Number of pages550
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From Vectors to Tensors
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Kartoniert / Broschiert. Condition: New. Notation simplicity and rigorDealing with tensors as vectors (column matrices)New concepts as rotation of tensors, transposer tensor, eigentensors, permutation tensor, etc.A computer package in Mathematica (available via Internet). Seller Inventory # 4885673
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