An Alert for My Tensors Textbook

This course will eventually continue on Patreon at bit.ly/PavelPat...
Textbook: bit.ly/ITCYTNew
Errata: bit.ly/ITAErrata
McConnell's classic: bit.ly/MCTensors
Table of Contents of bit.ly/ITCYTNew
Rules of the Game
Coordinate Systems and the Role of Tensor Calculus
Change of Coordinates
The Tensor Description of Euclidean Spaces
The Tensor Property
Elements of Linear Algebra in Tensor Notation
Covariant Differentiation
Determinants and the Levi-Civita Symbol
The Tensor Description of Embedded Surfaces
The Covariant Surface Derivative
Curvature
Embedded Curves
Integration and Gauss’s Theorem
The Foundations of the Calculus of Moving Surfaces
Extension to Arbitrary Tensors
Applications of the Calculus of Moving Surfaces
Index:
Absolute tensor
Affine coordinates
Arc length
Beltrami operator
Bianchi identities
Binormal of a curve
Cartesian coordinates
Christoffel symbol
Codazzi equation
Contraction theorem
Contravaraint metric tensor
Contravariant basis
Contravariant components
Contravariant metric tensor
Coordinate basis
Covariant basis
Covariant derivative
Metrinilic property
Covariant metric tensor
Covariant tensor
Curl
Curvature normal
Curvature tensor
Cuvature of a curve
Cylindrical axis
Cylindrical coordinates
Delta systems
Differentiation of vector fields
Directional derivative
Dirichlet boundary condition
Divergence
Divergence theorem
Dummy index
Einstein summation convention
Einstein tensor
Equation of a geodesic
Euclidean space
Extrinsic curvature tensor
First groundform
Fluid film equations
Frenet formulas
Gauss’s theorem
Gauss’s Theorema Egregium
Gauss-Bonnet theorem
Gauss-Codazzi equation
Gaussian curvature
Genus of a closed surface
Geodesic
Gradient
Index juggling
Inner product matrix
Intrinsic derivative
Invariant
Invariant time derivative
Jolt of a particle
Kronecker symbol
Levi-Civita symbol
Mean curvature
Metric tensor
Metrics
Minimal surface
Normal derivative
Normal velocity
Orientation of a coordinate system
Orientation preserving coordinate change
Relative invariant
Relative tensor
Repeated index
Ricci tensor
Riemann space
Riemann-Christoffel tensor
Scalar
Scalar curvature
Second groundform
Shift tensor
Stokes’ theorem
Surface divergence
Surface Laplacian
Surge of a particle
Tangential coordinate velocity
Tensor property
Theorema Egregium
Third groundform
Thomas formula
Time evolution of integrals
Torsion of a curve
Total curvature
Variant
Vector
Parallelism along a curve
Permutation symbol
Polar coordinates
Position vector
Principal curvatures
Principal normal
Quotient theorem
Radius vector
Rayleigh quotient
Rectilinear coordinates
Vector curvature normal
Vector curvature tensor
Velocity of an interface
Volume element
Voss-Weyl formula
Weingarten’s formula
Applications: Differenital Geometry, Relativity

[@glennedgar5057]

I am a physic major. Took tensor calculus for a quarter in 1973. Taught by famous Russian math teacher. Got A in course but not really understood until your KZbin videos. Thank you

[@thetedmang]

Get them for free through my school and still purchased one. Thanks Dr. Grinfeld.

[@MathTheBeautiful]

Thank you, that's very touching!

[@janpahl6015]

I have your book since 1 and a half years from now and its beautiful, I readed in a week and I am here only for jog my memory since I don´t work with higher maths (I am just a clinical psychologist with addiction to science and math in my spare time)... Atte. Jan Pahl Paparoni, originally from Caracas, Venezuela, but now living full time at Barcelona, Spain

[@janpahl6015]

I got my copy near Shenandoah, Flint Hill that its in Virginia 45 min to DC by shipping at amazon if I recall well

[@MathTheBeautiful]

Thank you for your kind note!

[@janpahl6015]

​@@MathTheBeautiful on the contrary Dr Pavel, thanks to your book I had the chance to understood more books, like thorne and blandford modern classical mechanics or goldstein classical mechanics... you are a excellent teacher, explainer and mathematician... before your book tensors was mandarin to me

[@glennedgar5057]

Watched all your tensor video's. Great to get your book . Thanks for writing it.

[@MathTheBeautiful]

Thank you, Glenn. I appreciate it.

[@MarkBarry]

Buy this book. Pavel Grinfeld is a great teacher.

[@bonbonpony]

To anyone who thinks that $26 is much, and begs for a discount, here's my advice for you, something I used to do if a book was too expensive for me: Find a friend interested in the same topic and chip in. The two of you (or perhaps more people?) will more likely afford it, and then you can share it.

[@andyct1982]

Done. It will be here in about 1 to 2 weeks.

[@MathTheBeautiful]

Thank you!

[@DouglasTimes]

I got my library at Texas A&M Corpus Christi to finally carry this great book

[@Sigmath_Bits]

That's awesome! I've wanted a copy for a while. But it's still a quadrillion dollars with shipping to here ...

[@MathTheBeautiful]

Hi Sigmath, Where do you live?

[@Sigmath_Bits]

I live down in New Zealand, so shipping (plus exchange rate) can be painful sometimes.

[@bonbonpony]

Hah, fancy seeing another pony in the comments :) /)

[@physnoct]

I watched all the videos and I bought this book and I would like to use a Computer Algebra Software to do the exercises. I took a look at Cadabra. Any suggestions?

[@MathTheBeautiful]

It's a very good idea to use a symbolic algebra package. I'm not familiar with Cadabra. I use Mathematica.

[@vithalpatel2535]

I want to study " Eiensatein's General Relativity" and use same mathematics for similer purpose in cosmology can you guide me which of your book/s can help me to start? I am a retired Mechanical Engineer. Please help me ASAP.

[@MathTheBeautiful]

Check out Space Time Matter by Hermann Weyl

[@nosnibor800]

me too, retired Electrical Engineer.

[@Jabber_Wock]

Great thanks Paval that’s good to know. But I had already purchased a copy at the full price from the publisher last year . I do have a request though: since I have a purchased copy at full price any chance of getting a PDF or Kindle version? The print copy is great but the fonts are a bit small for me. Thanks!

[@MathTheBeautiful]

Hey, thanks for buying my book! I checked with Springer and, unfortunately, I'm not allowed to share the PDF. Sorry! I wish could help! Pavel

[@Jabber_Wock]

Thanks for the quick response much obliged. I understand, no problem. PS I think your video courses on linear algebra, differential calc and tensors are the best!

[@MathTheBeautiful]

Thank you, that means a lot!

[@bonbonpony]

@@MathTheBeautiful That's why you should NEVER give up your works to publishers. They'll exploit you, they will exploit your readers, and then give you some scraps off their table while they will take all the cake. In the digital era, there are better ways to share your knowledge with others and have all the fruits of your work for yourself.

[@CohibaSkeeza]

You still have a link to the discounted book popping up on your video. Book is not currently discounted

[@physicsboy3108]

I have made it from pdf to hard copy

[@MathTheBeautiful]

What a waste of money!

[@iaggocapitanio7909]

I want to purchase, but in my country it is too expensive!

[@SumitYadav-mx8bp]

In my country too its half my father's salary

[@SuperExodus13]

I get free PDF versions of Springer books at my University

[@romanemul1]

what is your UNI ? google?

[@nosnibor800]

Too expensive for me - Amazon want £228 ! Ebay £50

[@MathTheBeautiful]

I agree! Would you like me to send you a draft of the next version of the book?

[@nosnibor800]

@@MathTheBeautiful Yes please. I have started watching your videos. Hope to do two per day over the next month. I am a retired Electrical Engineer.

[@AliRaza-rm1qq]

I need this book. Give me link for free. I have no money

[@Mkultra-235]

I 🏳‍⚧🥰 pay for play knowlege