Questions tagged [mathematical-analysis]
For questions applying to analysis courses: Real and complex analysis. Typically a higher and more proof-based level than calculus.
5
questions with no upvoted or accepted answers
4
votes
0answers
168 views
What is the point of using half range Fourier series for standard functions?
If we have a standard function, like $f(x) = x$ or $g(x) = x^2$, defined between $0$ and $\pi$, then why should we be interested in extending this function to give a Fourier series that resembles this ...
3
votes
0answers
355 views
A proof based Multivariable Calculus and Linear Algebra
May I know how can I teach a proof-based Multivariable Calculus and linear algebra as a single course? While there are quite a few known books in the field such as:
1) Vector Calculus, Linear Algebra ...
2
votes
0answers
85 views
Locus of the maximal turning point and the point of inflection
Suppose you have a carton that has the form of a square with sides of length a. If we want to produce a box out of it whose height is x we might deduce the following formula:
$$V_a(x)= x(a-2x)^2=a^2 x ...
2
votes
0answers
142 views
Why are a.e. defined functions rarely mentioned in elementary books?
In any standard development of measure theory in several well-known textbooks, the use of almost everywhere (a.e.) defined functions are first seen in the statement of Fubini's theorem, which states, ...
2
votes
0answers
105 views
Which book to use concurrently with each of these mathematics texts?
I'm in search of a good book that I can read --- and recommend to my proteges to read --- along with each one of the following books.
Topology by James R. Munkres, 2nd edition
Introductory ...
