From Vectors to Tensors [electronic resource] / by Juan Ramón RuízTolosa, Enrique Castillo.
By: RuízTolosa, Juan Ramón [author.].
Contributor(s): Castillo, Enrique [author.]  SpringerLink (Online service).
Material type: TextSeries: Universitext: Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2005Description: XVI, 670 p. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783540270669.Subject(s): Information theory  Algebra  Physics  Matrix theory  Engineering mathematics  Theory of Computation  Algebra  Physics, general  Linear and Multilinear Algebras, Matrix Theory  Theoretical, Mathematical and Computational Physics  Mathematical and Computational EngineeringAdditional physical formats: Printed edition:: No title; Printed edition:: No titleDDC classification: 004.0151 Online resources: Click here to access onlineItem type  Current location  Call number  Status  Date due  Barcode  Item holds  

EBOOKS 
ISI Library, Kolkata

Available  EB1113 
Basic Tensor Algebra  Tensor Spaces  to Tensors  Homogeneous Tensors  Changeofbasis in Tensor Spaces  Homogeneous Tensor Algebra: Tensor Homomorphisms  Special Tensors  Symmetric Homogeneous Tensors: Tensor Algebras  Antisymmetric Homogeneous Tensors, Tensor and Inner Product Algebras  Pseudotensors; Modular, Relative or Weighted Tensors  Exterior Algebras  Exterior Algebras: Totally Antisymmetric Homogeneous Tensor Algebras  Mixed Exterior Algebras  Tensors over Linear Spaces with Inner Product  Euclidean Homogeneous Tensors  Modular Tensors over En (IR) Euclidean Spaces  Euclidean Exterior Algebra  Classic Tensors in Geometry and Mechanics  Affine Tensors.
It is true that there exist many books dedicated to linear algebra and some what fewer to multilinear algebra, written in several languages, and perhaps one can think that no more books are needed. However, it is also true that in algebra many new results are continuously appearing, different points of view can be used to see the mathematical objects and their associated structures, and different orientations can be selected to present the material, and all of them deserve publication. Under the leadership of Juan Ramon RuizTolosa, Professor of multilin ear algebra, and the collaboration of Enrique Castillo, Professor of applied mathematics, both teaching at an engineering school in Santander, a tensor textbook has been born, written from a practical point of view and free from the esoteric language typical of treatises written by algebraists, who are not interested in descending to numerical details. The balance between follow ing this line and keeping the rigor of classical theoretical treatises has been maintained throughout this book. The book assumes a certain knowledge of linear algebra, and is intended as a textbook for graduate and postgraduate students and also as a consultation book. It is addressed to mathematicians, physicists, engineers, and applied scientists with a practical orientation who are looking for powerful tensor tools to solve their problems.
Other editions of this work
From vectors to tensors by RuizTolosa Juan Ramon 
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