Sochi T. Tensor Calculus Made Simple [PDF] - Все для студента

Aims and Scope Tensor calculus is a prerequisite for many tasks in physics and engineering. This book introduces the symbolic and the index notation side by side and offers easy access to techniques in the field by focusing on algorithms in index notation. It explains the required algebraic tools and contains numerous exercises with answers, making it suitable for self study for students and researchers in areas such as solid mechanics, fluid mechanics, and electrodynamics. User Account Log in Register Help. Search Close Advanced Search Help.

Tensor Calculus For Physics Majors #1- Preliminary Vector Stuff part 1

Calculus Made Easy has long been the most popular calculus primer, and this major revision of the classic math text makes the subject at hand still more comprehensible to readers of all levels. With a new introduction, three new chapters, modernized language and methods throughout, and an appendix of challenging and enjoyable practice problems. Calculus made easy being a very-simplest introduction to those beautiful methods of reckoning which are generally called by the terrifying names of the differential calculus and the integral calculus 3d ed. This edition published in 1980 by St. Martin's Press in New York.

In mathematics , tensor calculus, tensor analysis, or Ricci calculus is an extension of vector calculus to tensor fields tensors that may vary over a manifold , e. Contrasted with the infinitesimal calculus, tensor calculus allows presentation of physics equations in a form that is independent of the choice of coordinates on the manifold. Tensor calculus has many real-life applications in physics and engineering , including elasticity , continuum mechanics , electromagnetism see mathematical descriptions of the electromagnetic field , general relativity see mathematics of general relativity , quantum field theory. Working with a main proponent of the exterior calculus Elie Cartan, the influential geometer Shiing-Shen Chern nicely summarizes the role of tensor calculus [1]. In our subject of differential geometry, where you talk about manifolds, one difficulty is that the geometry is described by coordinates, but the coordinates do not have meaning.

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Solutions of Exercises of Tensor Calculus Made Simple

CreateSpace Independent Publishing Platform, — p. Physical and natural phenomena depend on a complex array of factors. Cambridge University Press,

The user has requested enhancement of the downloaded file. All in-text references underlined in blue are added to the original document and are linked to publications on ResearchGate, letting you access and read them immediately. Introduction to Tensor Calculus. Email: t. 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.

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By Murray Bourne, 25 Apr 2009

OK, it looks old and dusty, but Calculus Made Easy [PDF] is an excellent book and I strongly recommend it to those of you who are struggling with calculus concepts. It's also great for teachers, to give you ideas on how to explain calculus so it doesn't confuse the hell out of everyone. He quite rightly points out that many math text book writers are more interested in impressing the reader with sophisticated calculus techniques than explaining the basic concepts.

One of the early pages has:

In other words, this was one of the first ever 'Calculus for Dummies' books. Thompson puts great effort into explaining what is going on, rather than jumping straight into the calculations. He humbly calls himself a 'fool', but doesn't treat the reader as one.

He quotes from an 'ancient Simian proverb':

'What one fool can do another can.'

To give you an idea of how the book is written, in Chapter 1, 'To Deliver You From the Preliminary Terrors', we read:

∫ which is merely a long S, and may be called (if you like) 'the sum of.' Thus ∫dx means the sum of all the little bits of x; or ∫dt means the sum of all the little bits of t. Ordinary mathematicians call this symbol 'the integral of'.

Now any fool can see that if x is considered as made up of a lot of little bits, each of which is called dx, if you add them all up together you get the sum of all the dx's, (which is the same thing as the whole of x). The word 'integral' simply means 'the whole'.

The book is now copyright free. Grab the PDF: Calculus Made Easy.

Simple Calculus Pdf

[Thanks to Denise at LetsPlayMath for the link.]

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