Tensor calculus: unlearning vector calculus
نویسندگان
چکیده
منابع مشابه
A Discrete Vector Calculus in Tensor Grids
Mimetic discretization methods for the numerical solution of continuum mechanics problems rely on vector calculus and differential forms identities in their derivation and analysis. Fully mimetic discretizations satisfy discrete analogs of the continuum theory results used to derive energy inequalities. Consequently, continuum arguments carry over and can be used to show that discrete problems ...
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Preface These are general notes on tensor calculus originated from a collection of personal notes which I prepared some time ago for my own use and reference when I was studying the subject. I decided to put them in the public domain hoping they may be beneficial to some students in their effort to learn this subject. Most of these notes were prepared in the form of bullet points like tutorials...
متن کاملA Discrete Vector Calculus in Tensor Grids 1
Mimetic discretization methods for the numerical solution of continuum mechanics problems rely on analogs of vector calculus and differential forms identities in their derivation and analysis. Fully mimetic discretizations satisfy discrete analogs of the continuum theory results used to derive energy inequalities. Consequently, continuum arguments carry over and can be used to show that discret...
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These are lecture notes for the Cambridge mathematics tripos Part IA Vector Calculus course. There are four examples sheets for this course. These notes are pretty much complete. Books See the schedules for a list, but particularly: • “Mathematical Methods for Physics and Engineering”, CUP 2002 by Riley, Hobson and Bence £28. • “Vector Analysis and Cartesian Tensors”, Bourne and Kendall 1999 by...
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ژورنال
عنوان ژورنال: International Journal of Mathematical Education in Science and Technology
سال: 2017
ISSN: 0020-739X,1464-5211
DOI: 10.1080/0020739x.2017.1357849