Faraad Armwood's user avatar
Faraad Armwood's user avatar
Faraad Armwood's user avatar
Faraad Armwood
  • Member for 8 years, 1 month
  • Last seen more than 5 years ago
21 votes
Accepted

Where to start learning Differential Geometry/Differential Topology?

14 votes

If $f :X \to Y$ is a diffeomorphism, then $df_x$ is an isomorphism of vector spaces.

13 votes
Accepted

Prove that for $x^3=3$ there isn't rational solution

10 votes

Alternative notation for inverse function

9 votes

Does topology apply to the integers?

7 votes
Accepted

Swapping columns in a matrix changes the solution vector order? How to keep track?

7 votes

Good problem book in differential geometry

7 votes

Boundary of unit sphere

6 votes

What is the intuition behind the cross product of two parallel vectors being zero?

6 votes
Accepted

Shifrin's Multivariable Mathematics

5 votes

use polar coordinates to evaluate $ \int_0^1 \int_0^{\sqrt{1-x^2}} e^{\sqrt{x^2 + y^2}} dydx $

5 votes
Accepted

Verifying the identity $\frac{1}{\cos x} - \cos x = \sin x \tan x$

5 votes
Accepted

Triangulation of double-holed torus to calculate fundamental group

5 votes

Why is cross product defined in the way that it is?

5 votes
Accepted

Differential of a function between manifolds

4 votes
Accepted

Continuous functions and metric topology

4 votes

Solutions to $x^2 = x + 1$ are irrational

4 votes
Accepted

Example of an identity function that's not continuous

4 votes

Reference request: Best way of studying Loring Tu's "An Introduction to Manifolds" incompletely, but with restrictions

4 votes

Geometrical interpretation of second fundamental form

4 votes
Accepted

Guillemin & Pollack vs Loring Tu for Differential Topology

4 votes

Proving that $Df_v(a)=Df(a)(v)$

4 votes

Why an open upper half plane is not homeomorphic to infinite band and its boundary?

4 votes
Accepted

A path $\gamma:[a,b]\to \mathbb C$ which is not rectifiable.

4 votes

The BEST book of measure theory for beginners

4 votes
Accepted

Differential relationship between Cartesian and polar coordinates. What does it mean?

4 votes

natural manifold structure on the cotangent bundle

4 votes

Intuitively, what does it mean that two charts are compatible?

3 votes

Any suggested book or websites about the subjects of Permutations and Group Actions on Sets

3 votes
Accepted

What is the correct way to read $f\circ g$?

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