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john fowles's user avatar
john fowles's user avatar
john fowles
  • Member for 8 years, 11 months
  • Last seen more than 2 years ago
27 votes
5 answers
11k views

Algebra Vs Analysis

8 votes
3 answers
2k views

Proof that squares are divisible by 3 when their sum is

6 votes
1 answer
2k views

Preparation needed for a book like Munkres' "Analysis on Manifolds" or Spivaks' "Calculus on Manifolds"

6 votes
1 answer
2k views

How to best learn analysis? [closed]

6 votes
2 answers
1k views

Limit as x tends to infinity of a product of two functions where one is an integral and the other tends to 0

5 votes
1 answer
1k views

Prove existence and uniqueness of Convex Hull containing compact set

5 votes
1 answer
5k views

Implicit Function Theorem implies the Inverse Function Theorem

4 votes
3 answers
3k views

Show function $f(x,y)=(x^2-y^2,2xy)$ is $1$-$1$ by Inverse Function Theorem

4 votes
2 answers
98 views

Application of Chebyschev inequality

4 votes
2 answers
736 views

Write formula for matrix in terms of Fibonacci numbers

3 votes
1 answer
415 views

system of equations mod 7

3 votes
0 answers
789 views

How to prove convex hull of compact set is compact [duplicate]

3 votes
2 answers
40 views

Order a sequence problem

3 votes
3 answers
2k views

finding upper bound for delta epsilon definition of limit proof

3 votes
2 answers
3k views

Determine all subspaces of a vector space over a finite field

3 votes
1 answer
488 views

If S is the set of all subspaces of a Vector space, does every subspace have an additive inverse?

3 votes
1 answer
669 views

Implicit function theorem problem from Munkres Analysis on Manifolds text

3 votes
1 answer
65 views

Proof that a "$4$-word" can't exist in a recursive sequence

3 votes
1 answer
742 views

Finding all possible remainders of perfect squares mod $n$, $n\in \mathbb{Z_+}$

3 votes
2 answers
303 views

Proving a function isn't injective by considering inverse

3 votes
1 answer
1k views

Prove $f:\mathbb{R^2}\rightarrow \mathbb{R}$ not injective by Inverse Function Theorem

3 votes
1 answer
647 views

Applying Inverse Function Theorem to open set $A$ to prove $f^{-1}:f(A) \to A$ is a differentiable map

3 votes
4 answers
3k views

For $a,b$ coprime, there exists positive integers $x,y$ such that $ax-by=1$

2 votes
1 answer
90 views

max number of elements in a sequence where each $p$ consecutive subsequence sum is negative and $q$ consecutive subsequence sums is positive

2 votes
1 answer
115 views

Generating P-adic integers from Hensels lemma, and general question about P-adic integers

2 votes
2 answers
588 views

For the additive group modulo $n$, what's the proof that the order of each element is given by $\frac{|G|}{\gcd(x,|G|)}$

2 votes
1 answer
647 views

Sequence of integers where no $3$ are in arithmetic progression

2 votes
1 answer
382 views

Pigeonhole Principle proof question

2 votes
2 answers
454 views

Sketch of Spivaks proof of the Inverse Function Theorem for Multivariable functions

2 votes
1 answer
397 views

If component functions are injective then is the function injective?

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