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Tensor Algebra and Tensor Analysis for Engineers: With Applications to Continuum Mechanics 31 May 2013 Mikhail Itskov - Tensor Algebra and Tensor Analysis for Engineers: With Applications to Continuum Mechanics (3rd edition)Published: 2012-08-13 | ISBN: 3642308783 | PDF | 284 pages | 3 MB There is a large gap between the engineering course in tensor algebra on the one hand and the treatment of linear transformations within classical linear algebra on the other hand. The aim of this modern textbook is to bridge this gap by means of the co Ricci and Levi-Civita's Tensor Analysis Paper 12 June 2011 Ricci and Levi-Civita's Tensor Analysis Paper 1975 | 261 | ISBN: 0915692112 | DJVU | 1 Mb This is a translation of "Methodes de calcul differential absoluetleurs applications," by G. Ricci and T. Levi-Civita, Mathematische Annalen, vol. 54 A900). This memoire is one of the most influential and important in the history of both differential geometry and mathematical physics. For example, it seems to have been the basic document from which Einstein learned the tensor analysis that he used in the creation of General Relativity. My immediate aim is, of course, to make this key paper - which is still very readable and informative - available to the scientific community. To enhance its usefulness, I have added Remarks which link the material with contemporary differential geometry and physics. I have also modernized the notations and terminology, e.g. using the summation convention, and substituting the term "Tensor Analysis" for "Absolute Differential Calculus." I have also added a few topics to the main text, e.g. the notion of "mixed tensor," which seemed useful.... Manifolds, Tensor Analysis and Applications 23 July 2010 Manifolds, Tensor Analysis and ApplicationsSpringer 2001 | 617 | ISBN: 0201101688 | PDF | 5
The purpose of this book is to provide core material in nonlinear analysis for mathematicians, physicists, engineers, and mathematical biologists. The main goal is to provide a working knowledge of manifolds, dynamical systems, tensors, and differential forms. Some applications to Hamiltonian mechanics, fluid mechanics, electromagnetism, plasma dynamics and control theory are given using both invariant and index notation. The prerequisites required are solid undergraduate courses in linear algebra and advanced calculus. ...Applied Elasticity: Matrix and Tensor Analysis of Elastic Continua 13 May 2013 Applied Elasticity: Matrix and Tensor Analysis of Elastic ContinuaJohn D. Renton, 2003 | 203 Pages | ISBN: 1898563853 | PDF | 11 MB Ralph Abraham, Jerrold E. Marsden, Manifolds, Tensor Analysis, and Applications 6 May 2013 Ralph Abraham, Jerrold E. Marsden, Manifolds, Tensor Analysis, and ApplicationsISBN: 0387967907 | edition 1993 | PDF | 617 pages | 8 mb Tensor Analysis with Applications in Mechanics 30 January 2011 Tensor Analysis with Applications in Mechanics by Leonid P. Lebedev, Michael J. Cloud
World Scientific Publishing Company | 2010 | ISBN: 9814313122 | 380 pages | PDF | 12 MBTensor Calculus: A Concise Course 6 June 2011 Tensor Calculus: A Concise Course425 pages | Aug 31 2010 |ISBN:0486428311 | PDF | 5.5 Mb This book will prove to be a good introduction, both for the physicist who wishes to make applications and for the mathematician who prefers to have a short survey before taking up one of the more voluminous textbooks on differential geometry."--MathSciNet (Mathematical Reviews on the Web), American Mathematical Society A compact exposition of the fundamental results in the theory of tensors, this text also illustrates the power of the tensor technique by its applications to differential geometry, elasticity, and relativity Schaums Outline Of Tensor Calculus 6 April 2010 Schaum's Outline of Tensor CalculusMcGraw-Hill | English | 1988-04-01 | ISBN: 0070334846 | 224 pages | PDF | 16,3 MB This lucid introduction for undergraduates and graduates proves fundamental for pactitioners of theoretical physics and certain areas of engineering, like aerodynamics and fluid mechanics, and exteremely valuable for mathematicians. This study guide teaches all the basics and efective problem-solving skills too. Tensor Geometry: The Geometric Viewpoint and Its Uses (2nd edition) 13 April 2013 Tensor Geometry: The Geometric Viewpoint and Its Uses (2nd edition)C. T. J. Dodson, Timothy Poston Published: 1991-10 | ISBN: 038752018X, 354052018X | PDF | 432 pages | 19 MB Diffusion Tensor Imaging - Introduction and Atlas 23 October 2013 Diffusion Tensor Imaging - Introduction and AtlasEnglish | 2012 | ISBN: 3642204554 | 360 pages | PDF | 36,3 MB Diffusion Tensor Imaging (DTI) is a variation of diffusion-weighed imaging. Particularly in the neurosciences, this technique has gained tremendous momentum in the past decade, both from a technical point of view as well as in its applications. DTI is mainly used in neurological diagnosis and psychiatric and neurologic research, e.g. in order to locate brain tumors and depict their invasivity. |