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New posts in proof-explanation
Why does Rudin define $k = \frac{y^n-x}{n y^{n-1}}$ or $h < \frac{x - y^n}{n(y+1)^{n-1}}$ when he tries to prove that every real x has a nth root?
real-analysis
proof-verification
proof-writing
proof-explanation
alternative-proof
Why no common factors in proving root 2 is irrational?
elementary-number-theory
proof-explanation
irrational-numbers
How many ultrafilters there are in an infinite space?
general-topology
proof-explanation
cardinals
filters
Subgroups of $D_4$
group-theory
proof-explanation
dihedral-groups
A doubt about a proof of the dimension of tangent space in Guillemin and Pollack's book
differential-geometry
proof-explanation
smooth-manifolds
Chameleons of Three Colors puzzle
linear-algebra
modular-arithmetic
puzzle
proof-explanation
Milnor's exercise: for any manifold $M$, $\mathrm{Hom}(C^\infty(M,\mathbb{R}),\mathbb{R})\cong M$
differential-geometry
commutative-algebra
proof-explanation
manifolds
Ground plan of Forward direction - Let $p$ be an odd prime. Prove $x^{2} \equiv -1 \; (mod \, p)$ has a solution $\iff p\equiv 1 \; (mod 4)$
elementary-number-theory
intuition
proof-explanation
Motivation behind proof
real-analysis
contest-math
proof-explanation
A Detailed explanation for Archimedes area of parabolic segment by exhaustion proof ? Needed
calculus
sequences-and-series
algebra-precalculus
proof-explanation
area
Theorem $2$ (Variational principle for the principal eigenvalue)
partial-differential-equations
proof-explanation
elliptic-operators
Detailed explanation of the Γ reflection formula understandable by an AP Calculus student
gamma-function
proof-explanation
weierstrass-factorization
Proof that $n$ planes cut a solid torus into a maximum of $\frac16(n^3+3n^2+8n)$ pieces
geometry
proof-explanation
puzzle
visualization
Why does the result follow from the proof that has been given?
graph-theory
proof-explanation
$\log|z|$ has no harmonic conjugate in $\Bbb C\setminus\{0\}$ – different proof
complex-analysis
proof-verification
proof-explanation
harmonic-functions
analytic-functions
About the proof that $\int_0^\infty\frac{dx}{x^2+6x+8} =\frac12\log2$ via residue formula
complex-analysis
proof-explanation
contour-integration
Having trouble with just one line in a proof on why nonzero prime ideals are maximal in a Dedekind domain
ring-theory
commutative-algebra
ideals
proof-explanation
maximal-and-prime-ideals
How to show that $x^{1/n}$ is uniformly continuous
real-analysis
continuity
proof-explanation
uniform-continuity
Why does the fact that "$Tv$ is orthogonal to $v$ for all $v$ implies T is the zero operator" break down for real inner product spaces?
linear-algebra
complex-analysis
inner-products
proof-explanation
A doubt about a proof of chain rule for smooth functions between smooth manifolds
differential-geometry
proof-explanation
smooth-manifolds
chain-rule
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