Tensors for physics undergraduate lecture notes in physics. Nptel provides elearning through online web and video courses. But tensor at very least is a term that makes the faces of all who hear it pale, and makes the knees of even the very. Rating is available when the video has been rented. Nazrul islams book entitled tensors and their applications. For the love of physics walter lewin may 16, 2011 duration. Autoplay when autoplay is enabled, a suggested video will automatically play next. If you have watched this lecture and know what it is about, particularly what physics topics are discussed, please help us by commenting on this video with your suggested description and title. For example, one basic question is how to define the determinant of a tensor, while a large amount of recent work concerns the rank and the eigenvectors of tensors and the search for algorithms to compute them. Although tensors are applied in a very broad range of physics and math ematics, this booklet focuses on the application in special and general relativity. This video lecture, part of the series general relativity video lectures, notes, and exercises by prof. Linear algebra forms the skeleton of tensor calculus and differential geometry. Volume 1 is concerned with the algebra of vectors and tensors, while this volume is concerned with the geometrical aspects of vectors and tensors. If i allow all things to vanish from the world, then.
Stress and strain tensors part 1 video lectures symmetry. Third ranked tensors, which, believe it or not, well get into after the quiz in considerable detail, and even shudder fourth ranked tensors are going to involve summations that involve scads of terms and products of three and four direction. I then move on to define tensors without specifying their transformation properties, after which i conclude the video with a short discussion on rank3 tensors, which may be represented by 3d. He then develops the mathematics of covariant and contravariant vectors, their coordinate transformations, and their relationship to tensors. This lecture video provides an introduction to secondrank ranktwo tensors. Find materials for this course in the pages linked along the left. A tensor is something that transforms like a tensor. Use features like bookmarks, note taking and highlighting while reading tensors for physics undergraduate lecture notes in physics. This lecture focuses on the mathematics of tensors, which represent the core concepts of general relativity. It gives me great pleasure to write the foreword to dr. Tensorflow is an open source software library for numerical computation using data.
Tensor calculus and the calculus of moving surfaces. You can watch this lecture series given by pavel grinfeld at drexel university. This video lecture, part of the series lectures on continuum physics by prof. May 31, 2016 so we will have to think of tensors as objects with components that transform between coordinate systems in specific and predictable ways corollary 1. Kolecki national aeronautics and space administration glenn research center cleveland, ohio 445 tensor analysis is the type of subject that can make even the best of students shudder. Home courses materials science and engineering symmetry, structure, and tensor properties of materials video lectures tensors cont. Introduction to tensors contravariant and covariant vectors rotation in 2space. But once youve cut a plate from the crystal, the tensor relative to the old axes, x1, x2, x3, is not going to be terribly useful. This video lecture, part of the series tensor calculus and the calculus of moving surfaces by prof. A gentle introduction to tensors washington university in. Light refreshments will be served before the lecture at 3.
Video lectures symmetry, structure, and tensor properties of. This book presents the science of tensors in a didactic way. Physics video lectures free science and video lectures online. Download the video from itunes u or the internet archive. If not, we can just have on the quiz what were going to cover of tensors in the next couple days and have the rest symmetry. Csc2535 lecture 12 learning multiplicative interactions the outerproduct of the. Preface in order to make our extensive series of lecture notes more readily available, we have scanned the old master copies and produced electronic versions in portable document. Lecture description this video lecture, part of the series tensor calculus and the calculus of moving surfaces by prof. This is the only video i could find on this that actually makes sense. This lecture series provides a thorough introduction to the. Jun 09, 2018 i then move on to define tensors without specifying their transformation properties, after which i conclude the video with a short discussion on rank3 tensors, which may be represented by 3d. Download it once and read it on your kindle device, pc, phones or tablets.
Nptel provides elearning through online web and video courses various streams. Freetopicsin tensorsanalysisvideos digital university. Krishna garikipati, does not currently have a detailed description and video lecture title. Where can i find original lecture videos for cs 20si. The principal invariants and the inverse of tensor. I know the author as a research scholar who has worked with me for several years.
To put it succinctly, tensors are geometrical objects over vector spaces, whose coordinates obey certain laws of transformation under change of basis. This is the second volume of a twovolume work on vectors and tensors. Overview the mathematical description of curved spacetime is an involved subject and we will spend much of the. Youre going to want to find the tensor relative to this as one set of axes, and these perhaps as a new set of axes within the plane of the plate. So what i am suggesting is the quiz was scheduled for a week from november 8, which is a tuesday. The various types and ranks of tensors and the physical basis is presented. Feynman lectures, compexity and chaos, universe in a nutshell, black holes, life in space, states of matter, chemistry of interstellar space, electricity and magnetism, nanophysics and many others richard feynman video lectures many various richard p. Tensors for beginners albert tarantola september 15, 2004 1 tensor notations the velocity of the wind at the top of eiffels tower, at a given moment, can be represented by a vector v with components, in some local, given, basis, vi i 1,2,3.
Nov 06, 2016 this lecture video provides an introduction to secondrank ranktwo tensors. Your browser does not currently recognize any of the video formats available. If you have watched this lecture and know what it is about, particularly what physics topics are discussed, please help us by commenting on this video with. Tensor calculus and the calculus of moving surfaces i would highly suggest that. Vectors are simple and wellknown examples of tensors, but there is much more to tensor theory than vectors. Course home syllabus calendar readings assignments video lectures download course materials. This book is a humble step of efforts made by him to prove him to be a dedicated and striving teacher who has worked relentlessly in this field. Forward and backward transformations contains error. Introduction to tensors quotes the essence of my theory is precisely that no independent properties are attributed to space on its own.
May 02, 2012 this feature is not available right now. This volume begins with a discussion of euclidean manifolds. Tensor calculus and the calculus of moving surfaces i would highly suggest that you attempt to understand all of the calculations and derivations that are presented. Van loan cornell university the gene golub siam summer school 2010 selva di fasano, brindisi, italy. This lecture focuses on the mathematics of tensors, which represent the core. Apr 30, 2008 even more physics videos and video lectures lots of richard p. The first sections of the book provide an introduction to the vector and tensor algebra and analysis, with applications to physics, at undergraduate level.
Combined with the principle of general covariance, which extends the principle of relativity to say that the form of the laws of physical should be the same in all inertial and accelerating frames, it means that if we have a valid tensor. Third ranked tensors, which, believe it or not, well get into after the quiz in considerable detail, and even shudder fourth ranked tensors are going to involve summations that involve scads of terms and products of three and four direction cosines respectively. Alex flournoy, does not currently have a detailed description and video lecture title. Cartesian tensors are needed for the description of directional phenomena in many branches of physics and for the characterization the anisotropy of material properties. Course notes tensor calculus and differential geometry. Tensor analysis introduction basic phenomenon properties of. Vectors, and tensors 1 scalar, vectors, and tensors. This collection of notes attempts to demystify some of the vagaries of tensor analysis, to emphasize the connections between the old way of doing things and the new. Where can i find online video lectures for tensors.
Ppt scalar, vectors, and tensors powerpoint presentation. An informal discussion on tensor calculus chris tiee abstract. Udayanandan associate professor department of physics nehru arts and science college, kanhangad 1. An introduction to tensors for students of physics and. Jul 24, 2018 for the love of physics walter lewin may 16, 2011 duration. If you have watched this lecture and know what it is about, particularly what mathematics topics are discussed, please help us by commenting on this.
Traditional courses on applied mathematics have emphasized problem solving techniques rather than the systematic development of concepts. As a result, it is possible for such courses to become terminal mathematics courses rather than. The title, the poor mans introduction to tensors, is a reference to gravitation by misner, thorne and wheeler, which characterizes simplified approaches to a problem as the poor mans way to do x. An introduction to tensors for students of physics and engineering joseph c. Tensors for physics undergraduate lecture notes in physics kindle edition by hess, siegfried. Feb 24, 2016 you can watch this lecture series given by pavel grinfeld at drexel university. Video lectures symmetry, structure, and tensor properties. Sheer and thermal expansion tensors part 2 video lectures.