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 does the diameter of a closure relate to isolated points in Rudin's book?
- Bachelier
- · Replies 6 ·
Undergrad How Can I Express This Function with a Complex Square Root Term?
- Big-Daddy
- · Replies 7 ·
Graduate Understanding Sup of Sequence: S_n
- Bachelier
- · Replies 8 ·
Graduate Fundamental polygon of a Mobius strip
- dumbQuestion
- · Replies 6 ·
Graduate Logic Flawed? Is Rn Homotopic to Rm
- dumbQuestion
- · Replies 9 ·
Find $A_0$ in Root Mean Square & Parseval's Theorem
- Dustinsfl
- · Replies 3 ·
Understanding the Intriguing $\pi/2$ Integral Result
- Dustinsfl
- · Replies 5 ·
How Does the Triangle Inequality Apply to Complex Numbers?
- Poirot1
- · Replies 3 ·
Graduate Number of topologies on a 3-point set
- middleCmusic
- · Replies 8 ·
Graduate Papers by D. Carfi: extended spectral theory of distributions.
- strangerep
- · Replies 7 ·
Graduate Quotient Spaces and Homeomorphisms
- snesnerd
- · Replies 1 ·
Graduate When can we say a homotopy restricted to a subset is a homotopy itself
- dumbQuestion
- · Replies 2 ·
Graduate Analytic mapping from disk to disk must be rational
- Grothard
- · Replies 4 ·
Graduate Help understanding Laurent series in complex analysis
- Waxbear
- · Replies 8 ·
Graduate Is Every Point in a Subset of ℝ Either a Limit Point or an Isolated Point?
- Bipolarity
- · Replies 1 ·
Graduate Swapping Integrals and Sums: When is it Justifiable?
- member 428835
- · Replies 9 ·
Graduate Can Euler's Method Solve Higher Order Sums in the Basel Problem?
- Parmenides
- · Replies 2 ·
High School Is a Singleton a Connected Set?
- Bachelier
- · Replies 16 ·
How Does the Order of Convergence Relate to Numerical Schemes for ODEs?
- MarkFL
- · Replies 3 ·
What are the best definitions for limsup and liminf in sequences?
- Poirot1
- · Replies 1 ·
Graduate Curl and its relation to line integrals
- member 428835
- · Replies 3 ·
Graduate Exchanging derivative and improper integral
- Galileo
- · Replies 17 ·
Graduate How are Riemann surfaces graphed
- saminator910
- · Replies 1 ·
Graduate Is Bifurcation Topologically the Same?
- rsaad
- · Replies 2 ·
Graduate What happens with a differentiable function in the neighborhood of x?
- Skalman
- · Replies 5 ·
Confirm Answers on Homework Sheet: Subsequence Convergence
- Carla1985
- · Replies 3 ·
Converging Subsequences: Finding a Sequence for All Integers
- Carla1985
- · Replies 2 ·
Binomial Expansion Approximation for $\frac{1}{\sqrt{1 - A^2u^2}}$
- Dustinsfl
- · Replies 2 ·
Clovis's question at Yahoo Answers (bounded sequence)
- Fernando Revilla
- · Replies 1 ·
Graduate Conformal Mapping and flow normal to ellipse
- nickthequick
- · Replies 1 ·
Graduate Boundary of an open set in R2 is a limit point?
- dumbQuestion
- · Replies 5 ·
Graduate Quick question about Dirac delta functions
- black_hole
- · Replies 6 ·
Graduate Is a Circle Homeomorphic to a Subset of R^n?
- joao_pimentel
- · Replies 20 ·
How to prove sequence converges quadratically to a root of multiplicity
- i_a_n
- · Replies 3 ·
Solve twice differentiable function
- i_a_n
- · Replies 1 ·
Infinite products defining entire functions
- pantboio
- · Replies 5 ·
Proving $f(x_k+εp)<f(x_k)$ with Taylor Series
- i_a_n
- · Replies 5 ·
Continuity in terms of closed sets
- Fantini
- · Replies 1 ·
Proving Function Polynomial in Coordinates is Differentiable Everywhere
- i_a_n
- · Replies 3 ·
Sequnce of rationals less than pi, which converges to pi
- Amer
- · Replies 10 ·
Graduate Is My Understanding of Vitali Sets Accurate?
- Artusartos
- · Replies 5 ·
Prove the limit of the nth root of n
- Carla1985
- · Replies 6 ·
Snell's Law and complex refractive indices
- Nono713
- · Replies 9 ·
Graduate Changing the orientation of a connected topological space
- iLoveTopology
- · Replies 3 ·
Graduate Taylor series expansion of Dirac delta
- friend
- · Replies 3 ·
Undergrad The Continutiy and the Convergence.
- Tenshou
- · Replies 13 ·
Graduate The illusory generality of metric spaces
- h-simplex
- · Replies 2 ·
Find Counterexample for Expression about Limit of Composition Function
- i_a_n
- · Replies 5 ·
Fresnel Integrals: Unsolved Question from MHF
- Fernando Revilla
- · Replies 3 ·
Graduate Measure of Reals: Countable or Uncountable?
- cragar
- · Replies 2 ·
Undergrad Why is the Euclidean norm crucial in vector analysis?
- aaaa202
- · Replies 4 ·
Graduate How would I prove that ln (lim (u)) = lim (ln (u))
- MadViolinist
- · Replies 4 ·
Graduate Proving Subdivision and Refinement: Is it as Simple as it Seems?
- TheyCallMeMini
- · Replies 5 ·
Graduate Is a Measure 0 Null Set Also Dense?
- Bachelier
- · Replies 4 ·
Graduate Could someone specify a metric on (0,1)
- Bachelier
- · Replies 1 ·
Residue at essential singularity
- pantboio
- · Replies 6 ·
Is the Function \( f(x,y) \) Continuous on \( \mathbb{R}^2 \)?
- i_a_n
- · Replies 3 ·
Confusion in proof involving lim and liminf
- oblixps
- · Replies 1 ·
Graduate Limit of integral lead to proof of convergence to dirac delta
- lakmus
- · Replies 4 ·
Graduate Analysis of vector fields, fourier and harmonics
- SirAskalot
- · Replies 2 ·
Graduate Questions about Attachments: Outer Measure and Infinity
- Artusartos
- · Replies 2 ·
Undergrad Proof of "If f(x) is Continuous, then |f(x)| is Continuous
- macca1994
- · Replies 13 ·
Compute Residues for Periodic Function with Multiple Poles?
- pantboio
- · Replies 5 ·
A proof question about continuity
- i_a_n
- · Replies 1 ·
.Proving Supremum of H: f(x)<d, [a,b]
- solakis1
- · Replies 7 ·
Graduate Where Did the 2's in the Denominator Go in the Fourier Analysis Proof?
- Wingeer
- · Replies 7 ·
Proof the convergence of a gamma sum
- alyafey22
- · Replies 5 ·
Graduate A question about Dirac delta function
- James MC
- · Replies 18 ·
Graduate Show that the preimage of dense set is dense?
- mathgirl313
- · Replies 2 ·
Undergrad A Closed set in the Complex Field
- Bachelier
- · Replies 5 ·
Proof about the continuity of a function of norm
- i_a_n
- · Replies 1 ·
Chen's question at Yahoo Answers (continuity of the norm).
- Fernando Revilla
- · Replies 1 ·
Graduate Inverse of Metric in Topology: Schwarz Inequality
- Bachelier
- · Replies 5 ·
Graduate Topology on Eculidean n-space(ℝ^n)
- davechrist36
- · Replies 5 ·
Undergrad How Do You Graph the Complex Function w = z^(i+2)?
- alazhumizhu
- · Replies 2 ·
Graduate What Constitutes something being coordinate free
- saminator910
- · Replies 9 ·
How Can I Solve This Integral Using Complex Integration?
- pantboio
- · Replies 11 ·
Graduate On continuous and locally one-to-one map
- krete
- · Replies 4 ·
Graduate Continuous functions on metric space, M
- roman93
- · Replies 3 ·
Graduate Can you think of quasi-norms which aren't norms?
- danzibr
- · Replies 2 ·
Graduate Is the Unit Interval [0,1] Open in Its Inherited Topology from the Real Line?
- dapias09
- · Replies 2 ·
The Geometry of Complex Numbers and the Confusion of $e^{i\pi} + 1 = 0$
- I like Serena
- · Replies 9 ·
Is a non-repeating and non-terminating decimal always an irrational?
- reek
- · Replies 2 ·
Graduate Dirac Delta Function: Does it Have a Residue?
- elfmotat
- · Replies 2 ·
Graduate Relationship between seminormed, normed, spaces and Kolmogrov top. spaces
- Ocifer
- · Replies 2 ·
Graduate Complex conjugate as a Mobius transformation
- iLoveTopology
- · Replies 3 ·
Graduate Contour integration of real functions
- stefaneli
- · Replies 4 ·
Graduate An Open and Closed Interval in Q
- Bachelier
- · Replies 14 ·
Undergrad Can We Assume Equality of Complex Numbers Based on Their Norm?
- Bachelier
- · Replies 6 ·
How to Prove $n^{\alpha} > \ln(n)$ for $\alpha>0$ and n is Sufficiently Large?
- Lisa91
- · Replies 5 ·
Why Is ln(1+x) Greater Than x/(2+x) for x > 0?
- Lisa91
- · Replies 1 ·
Graduate What Does the Third Axis Represent in Riemann Zeta Function Zeros Graphs?
- SpaceDreamer
- · Replies 1 ·
Graduate Dirac delta function how did they prove this?
- galactic
- · Replies 1 ·
A very interesting complex beta integral:
- alyafey22
- · Replies 5 ·
Integration a long closed curve is 0
- alyafey22
- · Replies 7 ·
Graduate Are open sets in R^n always homeomorphic to R^n?
- iLoveTopology
- · Replies 6 ·
Graduate How Does Length Extend to General Sets of Real Numbers?
- Artusartos
- · Replies 4 ·
Solve the following integral without complex analysis:
- alyafey22
- · Replies 9 ·
Graduate Countable intersection of F-sigma sets
- jbunniii
- · Replies 3 ·
Undergrad Natural Log : seems as a discontinous function
- hms.tech
- · Replies 4 ·