Participate in expert discussion on topology and analysis topics. This includes point-set topology, Real, complex, harmonic and functional analysis. Also measure and integration theory.
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Graduate How to compute inner product in the Hardy space
- LikeMath
- · Replies 1 ·
Graduate Can we find set members arbitrarily close to the supremum?
- hkcool
- · Replies 2 ·
Greatest integer function with linear function inside
- Amer
- · Replies 2 ·
Every Number is between Two Consecutuve Integers
- OhMyMarkov
- · Replies 2 ·
Graduate Continuous Map to Single Point: Clarifying Confusion
- dapias09
- · Replies 3 ·
Can I prove there are infinitely many irrationals between two reals?
- OhMyMarkov
- · Replies 5 ·
Graduate When is a function equal to its Fourier series?
- kloptok
- · Replies 6 ·
Undergrad Does a sequence's limit equal the sum of its infinite terms?
- Bashyboy
- · Replies 3 ·
Fourier series without integration
- Dustinsfl
- · Replies 2 ·
Show How to Prove Divergence of g'($\theta$)
- Dustinsfl
- · Replies 2 ·
Differentiating a fourier series
- Dustinsfl
- · Replies 10 ·
Graduate Is there a way to find a homeomorphism of the torus using a 2x2 integer matrix?
- lavinia
- · Replies 9 ·
Graduate Fourier series convergence for non-monotonic functions like √|x|*sin(1/x)
- Boorglar
- · Replies 2 ·
Undergrad Why Do We Have Different Terms for Least Upper Bound and Supremum?
- back2square1
- · Replies 3 ·
Undergrad How Can We Prove the Global Minimum of the Absolute Value Function at x=0?
- Bipolarity
- · Replies 3 ·
Proving b^r = sup(B(r)) for rational r using a proof by contradiction
- poissonspot
- · Replies 7 ·
Can Any Real Number in (0,1) Exceed 1 with a Natural Number Exponent?
- Amer
- · Replies 4 ·
Why Is the Function Bounded in the Extreme Value Theorem Proof?
- Amer
- · Replies 1 ·
Graduate Pointwise Convergence of Fourier Series for a continuous function
- Boorglar
- · Replies 7 ·
Graduate Uniform Convergence of Power Series
- markiv
- · Replies 6 ·
Proving z₁z₂z₃ = 1 for three complex numbers with equal modulus
- MarkFL
- · Replies 2 ·
Relationship between two entire functions
- Bingk1
- · Replies 4 ·
Proving an entire function is a polynomial under certain conditions
- Bingk1
- · Replies 1 ·
Responding to MF91's Claims on Real Numbers
- VincentP
- · Replies 3 ·
Graduate Understanding Subset Equivalence in Lipschitz Equivalent Metrics Proof
- PhysicsGente
- · Replies 2 ·
Graduate Continuous mappings in topology.
- DeadOriginal
- · Replies 9 ·
Graduate Spivak's proof of A closed bounded subset of R^n is compact
- middleCmusic
- · Replies 2 ·
Is $|f(\theta)|$ less than or equal to the sum of the absolute values of $A_n$?
- Dustinsfl
- · Replies 5 ·
How to Solve the Heat Problem in the Disk using Fourier Series?
- Dustinsfl
- · Replies 1 ·
Graduate Using the residue theorem to evaluate a real integral.
- jrp131191
- · Replies 2 ·
On the Implication of Addition Axioms
- OhMyMarkov
- · Replies 4 ·
Graduate Closed and open at the same time?
- DeadOriginal
- · Replies 20 ·
Graduate Does Cl(X-A)=X-Int(A) work in infinite and uncountable dimensions?
- cragar
- · Replies 2 ·
Closed sets intersection of countable open sets
- Dustinsfl
- · Replies 10 ·
Accumulation points of (-1)^n + (1/m)
- Dustinsfl
- · Replies 10 ·
Graduate A question on the orthogonal polynomial
- sufive
- · Replies 2 ·
Graduate Understanding lim sup and lim inf: Finding limit points and subsequential limits
- funcalys
- · Replies 2 ·
Find Fourier Series for Piecewise Function
- Dustinsfl
- · Replies 3 ·
What Are the Accumulation Points of the Sequence $1/n$?
- Dustinsfl
- · Replies 4 ·
Are the Accumulation Points of the Series $(-1)^n/[1 + (1/n)]$ Open at 1 and -1?
- Dustinsfl
- · Replies 2 ·
Complex accumulation points and open/closed
- Dustinsfl
- · Replies 1 ·
Why are all reals accumulation points of the rationals?
- Dustinsfl
- · Replies 1 ·
R^2 accumulation and open/closed
- Dustinsfl
- · Replies 1 ·
Graduate Do imaginary parts affect upper bounds in lexicographic ordering on ℂ?
- c0dy
- · Replies 1 ·
Fourier series coefficients for |sin θ|
- Dustinsfl
- · Replies 8 ·
Calculating Fourier Coefficients for $f(\theta) = \theta^2$ on $[-\pi, \pi]$
- Dustinsfl
- · Replies 4 ·
Understanding a question Fourier series
- Dustinsfl
- · Replies 1 ·
Fourier Coefficients for $f(\theta) = \theta$
- Dustinsfl
- · Replies 1 ·
Calculating Fourier Series of $f(\theta)$ on $[\pi, -\pi]$
- Dustinsfl
- · Replies 4 ·
Proof: if f holomorphic then f(z)=λz+c
- Seijo
- · Replies 1 ·
Graduate Bad proof in Fomin's Calculus of Variations?
- genericusrnme
- · Replies 1 ·
Is $f$ a one-to-one function on $S$?
- Dustinsfl
- · Replies 4 ·
Graduate Open sets preserved in linear transformation that isn't bijective?
- dumbQuestion
- · Replies 5 ·
Are There Infinitely Many Rational Numbers Between Two Irrational Numbers?
- Dustinsfl
- · Replies 6 ·
Undergrad What is the limit of (ah-1)/h as h approaches 0?
- dumbQuestion
- · Replies 4 ·
Graduate How can we prove that the sum of alternating squares equals pi squared over 12?
- psholtz
- · Replies 6 ·
Graduate Domain and range of complex functions
- Avatrin
- · Replies 3 ·
Graduate Lebesgue topological dimension
- hofhile
- · Replies 2 ·
Proving $\sum_{k=1}^{n}e^{ik\theta}$ Formula
- Dustinsfl
- · Replies 5 ·
Supremum and Infimum of $S$: $a < b < c < d$
- Dustinsfl
- · Replies 4 ·
Trig identities Fourier Analysis
- Dustinsfl
- · Replies 2 ·
Undergrad Proving a known proof involving injection.
- grjmmr
- · Replies 1 ·
Undergrad Understanding Function Notation in Higher Level Mathematics
- Artimodes
- · Replies 1 ·
Special cases for sine and cosine sum
- Dustinsfl
- · Replies 3 ·
Proving the Polynomial Identity for Dividing a^n-b^n by a-b
- Dustinsfl
- · Replies 4 ·
Proving Sum of Cosines Simplifies to Trig Identity
- Dustinsfl
- · Replies 1 ·
Proving the Basic Identity of Fourier Series
- Dustinsfl
- · Replies 1 ·
Undergrad Can a bounded sequence have different upper and lower bounds?
- Ryuzaki
- · Replies 1 ·
Graduate Is the Nested Interval Theorem Flawed in My Textbook?
- pyfgcr
- · Replies 3 ·
Graduate Topology, functional analysis, and group theory
- -Alexander-
- · Replies 1 ·
Graduate Proof Error Q. Conway's Functions of One Complex Variable VI
- julypraise
- · Replies 4 ·
Singularities of Complex Functions
- timeforchg1
- · Replies 2 ·
Graduate Are Sigma Algebras Unique for a Given Set?
- ChemEng1
- · Replies 3 ·
Graduate Spivak Exercice, Least Upper Bounds Chapter, Proof
- c.teixeira
- · Replies 3 ·
Undergrad Understanding K-Convexity: Visualization and Intuitive Explanation
- Constantinos
- · Replies 1 ·
Graduate Does Unconditional Convergence Apply to Infinite Subseries Partitions?
- micromass
- · Replies 1 ·
Graduate Cardinalic flaw of Riemann integral
- pyfgcr
- · Replies 5 ·
Graduate Showing Closed Subsets of Compact Sets are Compact
- bedi
- · Replies 8 ·
Graduate The role of the Jacobian in the Implicit Function Theorem
- Fractal20
- · Replies 4 ·
Graduate Proof of Lagrange multipliers method in calculus of variations.
- chingel
- · Replies 3 ·
Graduate Calculus of Variation on Local Regions of Function Space
- Viky553
- · Replies 9 ·
Graduate Why Are There No Interior Points in the Cantor Set?
- bedi
- · Replies 7 ·
Undergrad The least upper bound property and the irrationals.
- RediJedeye
- · Replies 3 ·
Graduate Why Can't a Sequence Have Two Distinct Limits in a Metric Space?
- bedi
- · Replies 4 ·
Graduate Is a Concave, Nondecreasing, and Bounded Function on [0, ∞) Always Continuous?
- hermanni
- · Replies 11 ·
Graduate How to apply the Lebesgue integral with concrete examples
- woundedtiger4
- · Replies 13 ·
Graduate Precise definition of the limit of a sequence
- srn
- · Replies 3 ·
Graduate Playing with Analytical Operators
- LolWolf
- · Replies 7 ·
Graduate Why does an integer m exist with m-1 ≤ nx < m in Rudin's density proof?
- A_B
- · Replies 5 ·
Graduate Can complex numbers solve x^x = i and what is (-1)^{\sqrt{2}}?
- limitkiller
- · Replies 3 ·
Graduate Conditional vs unconditional convergence
- johnqwertyful
- · Replies 2 ·
Graduate What is Semidifferential Calculus?
- Stephen Tashi
- · Replies 3 ·
Graduate Why Parseval's Identity Fails for Higher Exponents in Basel Problem
- Boorglar
- · Replies 9 ·
Undergrad An Intuitive Understanding Vs. Analytic Proofs
- vanmaiden
- · Replies 2 ·
Graduate Why does an unbounded sequence have no limit point in Rudin's theorem 2.41?
- Dschumanji
- · Replies 5 ·
Graduate Countable versus uncountable infinities in math and physics
- aikiddo
- · Replies 3 ·
Graduate Is it Possible for a Closed Disk to be Contained in an Open Set?
- ashok vardhan
- · Replies 1 ·
Graduate Homeomorphisms with the discrete topology
- Flying_Goat
- · Replies 5 ·
Graduate Theorems 2.12 and 2.14 in Rudin's Principles of Mathematical Analysis
- prash_neo
- · Replies 7 ·
Lambert W Function: Solving $r=ue^u$
- Dustinsfl
- · Replies 1 ·