04366nam a22005415i 4500001001800000003000900018005001700027007001500044008004100059020001800100024002500118040002500143050001700168072001500185072002300200072001400223072001500237082001700252100009000269245010300359264006100462300003400523336002600557337002600583338003600609347002400645490002900669505071100698520140101409650002402810650001302834650001302847650001902860650002902879650009802908650008403006650009303090650012303183650012803306650011903434700008003553710003403633773002003667776003603687776003603723830002903759856003603788978-3-540-27066-9DE-He21320181203160144.0cr nn 008mamaa100301s2005 gw | s |||| 0|eng d a97835402706697 a10.1007/b1385602doi aISI Library, Kolkata 4aQA75.5-76.95 7aUY2bicssc 7aCOM0140002bisacsh 7aUY2thema 7aUYA2thema04a004.01512231 aRuíz-Tolosa, Juan Ramón.eauthor.4aut4http://id.loc.gov/vocabulary/relators/aut10aFrom Vectors to Tensorsh[electronic resource] /cby Juan Ramón Ruíz-Tolosa, Enrique Castillo. 1aBerlin, Heidelberg :bSpringer Berlin Heidelberg,c2005. aXVI, 670 p.bonline resource. atextbtxt2rdacontent acomputerbc2rdamedia aonline resourcebcr2rdacarrier atext filebPDF2rda1 aUniversitext,x0172-59390 aBasic 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. aIt 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. 0aInformation theory. 0aAlgebra. 0aPhysics. 0aMatrix theory. 0aEngineering mathematics.14aTheory of Computation.0http://scigraph.springernature.com/things/product-market-codes/I1600524aAlgebra.0http://scigraph.springernature.com/things/product-market-codes/M1100024aPhysics, general.0http://scigraph.springernature.com/things/product-market-codes/P0000224aLinear and Multilinear Algebras, Matrix Theory.0http://scigraph.springernature.com/things/product-market-codes/M1109424aTheoretical, Mathematical and Computational Physics.0http://scigraph.springernature.com/things/product-market-codes/P1900524aMathematical and Computational Engineering.0http://scigraph.springernature.com/things/product-market-codes/T110061 aCastillo, Enrique.eauthor.4aut4http://id.loc.gov/vocabulary/relators/aut2 aSpringerLink (Online service)0 tSpringer eBooks08iPrinted edition:z978354080340908iPrinted edition:z9783540228875 0aUniversitext,x0172-593940uhttps://doi.org/10.1007/b138560