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8 votes
0 answers
4k views

Tackling Evans' PDE's book

7 votes
3 answers
2k views

Open balls in $\mathbb{R}^d$ are Jordan Measurable

7 votes
1 answer
1k views

Relearning advanced undergraduate/beginning graduate level mathematics

6 votes
1 answer
1k views

Books like Terence Tao's An Introduction to Measure Theory

6 votes
1 answer
3k views

Proof of the Extended Liouville's Theorem

5 votes
1 answer
2k views

PDE books for an independent study

5 votes
0 answers
267 views

Commutative diagrams for vector spaces, dual spaces, and adjoint of linear maps

4 votes
2 answers
3k views

Supplement to Rudin's Real and Complex Analysis

3 votes
0 answers
538 views

Terrence Tao's definition of Lebesgue measurability as an extension of Jordan measurability

3 votes
1 answer
327 views

Geometrically reasoning through that $P^{2}$ # $P^{2}$ is the Klein Bottle

3 votes
0 answers
219 views

Resolvent Kernel of a general Fredholm Equation of second kind

3 votes
0 answers
104 views

Evans Problem 5.15 - Proof Verification

3 votes
2 answers
103 views

Finding function given Fourier coefficients [closed]

3 votes
1 answer
45 views

Possible convergence of a basis of a symmetric uniformly elliptic operator in $H^2(U)$

3 votes
1 answer
92 views

Metric circle on a sphere

2 votes
1 answer
77 views

$2L$ periodic Sobolev space

2 votes
0 answers
99 views

Discrete math at the graduate level

2 votes
1 answer
118 views

Express $\exp(A+B(t))$ as $\exp(A) + \cdots$

2 votes
0 answers
16 views

$n$-th derivative of $e^{Y(\delta,t)}$ at at $\delta=0$ for a special $Y(\delta,t)$

2 votes
2 answers
124 views

Binomial coefficients summation

2 votes
0 answers
28 views

Hahn-Komolgorov Extension Theorem

2 votes
1 answer
269 views

Terence Tao's Construction of the Lebesgue-Stieltjes Measures

2 votes
2 answers
2k views

Eigenvalues and eigenfunctions of the Fredholm integral equation of the second kind

2 votes
1 answer
232 views

Approximating a Banach space "vector- valued function" by "simple functions"

2 votes
1 answer
2k views

Definition of a simply connected region

1 vote
0 answers
40 views

Implicit Function Theorem: Edwards, Theorem 1.4, pp. 167

1 vote
1 answer
356 views

Show that the set of all points $(x, y) \in \mathbb{R}^2$ such that $(x + y)^5 - xy - 1 = 0$ is a $1-$manifold.

1 vote
1 answer
619 views

Integrate $\int_{0}^{\infty} \frac{dx}{1 + x^n}$ using the Residue Theorem

1 vote
2 answers
1k views

Measure Theory & Functional Analysis for PDE's

1 vote
1 answer
51 views

Proof Verification: Show that $R = I + J$, where $R$ is a PID and $I,J$ are ideals