Multivariable calculus PDF books

[taylorandrian]

Multivariable calculus is a branch of mathematics that extends the concepts of single-variable calculus to functions of multiple variables. In this subject, vectors and partial derivatives are introduced to represent and manipulate multi-dimensional data. The gradient of a function represents the rate of change of a function in a particular direction, while the tangent plane provides a way to approximate the behavior of a function near a specific point. The Jacobian matrix is used to transform coordinate systems, while multiple integrals are used to calculate the volume under a surface. Two important theorems in multivariable calculus are the divergence theorem and Stokes' theorem, which relate the behavior of vector fields to concepts such as line integrals and the flow of fluids.

i need some pdf books if you can help me in my master degree i need them

 

[Frabjous]

Check out this thread
https://www.physicsforums.com/threa...-math-books-and-lecture-notes-part-1.1044710/

 

[taylorandrian]

Check out this thread
https://www.physicsforums.com/threa...-math-books-and-lecture-notes-part-1.1044710/

thanks a lot

 

[MidgetDwarf]

In terms of pdf, you are very limited due to copyright laws. From Malawi_Glenn thread, I am only familiar with Paul's Online notes, which are excellent, but these are a supplement.

I would suggest at the minimum, owning a copy of Mardsen Vector Calculus. It is probably the easiest vector calculus book to work through. older editions are extremely cheap. I purchased one recently for $8 dollars, having donated my previous copy to the math department at my school.

 

[Mark44]

Mardsen Vector Calculus

Just to be clear, and to help in a web search, the author is Jerrold Marsden, and the coauthor is Anthony Tromba.

 

[mathwonk]

I agree that Marsden and Tromba is an excellent choice. I used it to teach a high school class of exceptional students, some of whom are now well known mathematicians. Another excellent book is the one by Ted Shifrin, professor emeritus of University of Georgia, and happily, his lectures on the subject are available free on youtube:



So if you like lectures, or if they can help you, check these out. Ted was famous as an extraordinarily clear lecturer.

edit: The book by Marsden and Tromba I was talking about was the 1976 or 1981 edition, available cheaply from abebooks:
https://www.abebooks.com/servlet/Se...ld&tn=vector calculus&cm_sp=click-_-plp-_-ntb

 

[MidgetDwarf]

I agree that Marsden and Tromba is an excellent choice. I used it to teach a high school class of exceptional students, some of whom are now well known mathematicians. Another excellent book is the one by Ted Shifrin, professor emeritus of University of Georgia, and happily, his lectures on the subject are available free on youtube:



So if you like lectures, or if they can help you, check these out. Ted was famous as an extraordinarily clear lecturer.

Do you know of a place to get a copy of Shifrin's book? I think I lost my copy during my last move.

 

[Muu9]

Note that Marsden and Tromba is available for free online with the permission of Spring-verlag: https://www.cds.caltech.edu/~marsden/volume/Calculus/
The target audience is Caltech students, so it's likely less formal or rigorous that Shifrin's book, which you can find thanks to bookfinder.com

 

[mathwonk]

The link just above is apparently to a different book, by Marsden and Weinstein.

 

[Muu9]

The link just above is apparently to a different book, by Marsden and Weinstein.

Yes, it's a multivariate calculus book, not a vector calculus book per se.

 

[mathwonk]

i could be wrong, but my impression was that the link is to a traditional calculus book, single variable differentiation and integration, and multivariable. The book by Marsden and Tromba is specifically a modern several variables book with intro to linear algebra preceding the vector calculus, with single variables calc assumed.