Linked Questions

70
votes
5answers
21k views

(Theoretical) Multivariable Calculus Textbooks [duplicate]

(Note that I have used bold text frequently simply to highlight the key points of my question for those who do not have the time to read through it thoroughly (it is not very long, however); I hope ...
4
votes
2answers
14k views

Multivariable/Vector Calculus Textbook Recommendation Please! [duplicate]

S.E friends, I am a college sophomore with a major in mathematics. I am trying to self-study multivariable and vector calculus (they means the same, right?) and prepare for Summer course on ...
16
votes
2answers
7k views

Rigorous Text in Multivariable Calculus and Linear Algebra

So I'm wanting a solid math book for Christmas. I have a solid background in Calculus and am currently working through baby Rudin. I really want a rigorous book dealing with multivariable calculus ...
8
votes
5answers
2k views

Reference for multivariable calculus

I'm looking for a book to learn multivariable calculus that is rigorous, but not overly technical, and also provides meaningful insight. Standard calculus texts like Stewart and Thomas are too sketchy....
11
votes
2answers
2k views

Are “differential forms” an algebraic approach to multivariable calculus?

I am recently learning some basic differential geometry. As I understand, differential forms provide a neat way to deal with the topics in calculus such as Stoke's theorem. In order to define the ...
4
votes
3answers
589 views

Textbook for Multivariable and/or Vector Calculus

I'm looking for a tetxbook that covers Multivariable Calculus and/or Vector Calculus theoretically. I have done Analysis (single-variable) at the level of Introduction to Real Analysis by Bartle and ...
3
votes
1answer
660 views

Best multivariable calculus text for physics [duplicate]

I will soon start studying electrodynamics from Griffith's Electrodynamics. I tried to learn the math required from the first chapter but found that I couldn't understand it very well. So are there ...
2
votes
2answers
187 views

Undergraduate maths textbooks for self-learners

I am a junior student majored in mechanical engineering. I have great passion for pure and applied math.Sadly, the maths disciplines in my university did not fulfill my requirements.For now, I have ...
0
votes
1answer
261 views

Advanced Calculus Resource for Multivariate and Complex Calculus

I need a good resource - textbook, online resource, video lecture etc.- that explains the multivariate calculus really well; the topics I want to make clear are the Hessian Matrix concept and the ...
0
votes
0answers
89 views

Rigorous multivariate differentiation of integral with moving boundaries (Leibniz rule)

The Leibniz integral rule, in its multivariate form, deals with differentiation of the following sort: $$ \frac{\partial}{\partial t} \int_{D(t)} F({\bf x}, t) \, d{\bf x} \, , \qquad D(t)\in \mathbb{...