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978-3-540-27066-9
DE-He213
20181203160144.0
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100301s2005 gw | s |||| 0|eng d
9783540270669
978-3-540-27066-9
10.1007/b138560
doi
ISI Library, Kolkata
QA75.5-76.95
UY
bicssc
COM014000
bisacsh
UY
thema
UYA
thema
004.0151
23
Ruíz-Tolosa, Juan Ramón.
author.
aut
http://id.loc.gov/vocabulary/relators/aut
From Vectors to Tensors
[electronic resource] /
by Juan Ramón Ruíz-Tolosa, Enrique Castillo.
Berlin, Heidelberg :
Springer Berlin Heidelberg,
2005.
XVI, 670 p.
online resource.
text
txt
rdacontent
computer
c
rdamedia
online resource
cr
rdacarrier
text file
PDF
rda
Universitext,
0172-5939
Basic Tensor Algebra -- Tensor Spaces -- to Tensors -- Homogeneous Tensors -- Change-of-basis in Tensor Spaces -- Homogeneous Tensor Algebra: Tensor Homomorphisms -- Special Tensors -- Symmetric Homogeneous Tensors: Tensor Algebras -- Anti-symmetric Homogeneous Tensors, Tensor and Inner Product Algebras -- Pseudotensors; Modular, Relative or Weighted Tensors -- Exterior Algebras -- Exterior Algebras: Totally Anti-symmetric 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 Ruiz-Tolosa, 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.
Information theory.
Algebra.
Physics.
Matrix theory.
Engineering mathematics.
Theory of Computation.
http://scigraph.springernature.com/things/product-market-codes/I16005
Algebra.
http://scigraph.springernature.com/things/product-market-codes/M11000
Physics, general.
http://scigraph.springernature.com/things/product-market-codes/P00002
Linear and Multilinear Algebras, Matrix Theory.
http://scigraph.springernature.com/things/product-market-codes/M11094
Theoretical, Mathematical and Computational Physics.
http://scigraph.springernature.com/things/product-market-codes/P19005
Mathematical and Computational Engineering.
http://scigraph.springernature.com/things/product-market-codes/T11006
Castillo, Enrique.
author.
aut
http://id.loc.gov/vocabulary/relators/aut
SpringerLink (Online service)
Springer eBooks
Printed edition:
9783540803409
Printed edition:
9783540228875
Universitext,
0172-5939
https://doi.org/10.1007/b138560
ZDB-2-SMA
EB
Mathematics and Statistics (Springer-11649)
424972
424972
275561
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2018-12-03
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