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 Can Equilibrium State Determine Complex Potential?
- binbagsss
- · Replies 5 ·
High School Finite linear combination of continuous functions is continuous?
- docnet
- · Replies 3 ·
Undergrad Verify the completion of continuous compactly supported functions
- psie
- · Replies 4 ·
Undergrad Fiber bundle homeomorphism with the fiber
- cianfa72
- · Replies 43 ·
Undergrad On deriving the (inverse) Fourier transform from Fourier series
- psie
- · Replies 4 ·
Undergrad Prove projection of a measurable set from product space is measurable
- Lagrange fanboy
- · Replies 3 ·
High School Questions on a numberphile video
- picketpocket826
- · Replies 5 ·
Undergrad ##SU(2, \mathbb C)## parametrization using Euler angles
- cianfa72
- · Replies 15 ·
Undergrad Regarding Wirtinger's inequality
- psie
- · Replies 4 ·
Undergrad ##SL(2,\mathbb R)## Lie group as manifold
- cianfa72
- · Replies 12 ·
High School A Question Relating Sum of Angles and Breaking of the Parallel Postulate
- walkeraj
- · Replies 6 ·
Undergrad ##1^x =2## has complex solutions?
- Arjan82
- · Replies 7 ·
Undergrad Is the Projection Restriction to a Linear Subspace a Homeomorphism?
- cianfa72
- · Replies 8 ·
Undergrad New Video Course on General Topology on YouTube
- caffeinemachine
- · Replies 2 ·
Undergrad On a proof of the converse of the supporting hyperplane theorem
- psie
- · Replies 9 ·
Undergrad ##SU(2)## homeomorphic with ##\mathbb S^3##
- cianfa72
- · Replies 61 ·
Undergrad Bloch Analysis proof of Theorem 2.5.5 (Definition by recursion)
- BugKingpin
- · Replies 2 ·
Undergrad How do I use the four axioms of a neighborhood to define an open set?
- learning physics
- · Replies 2 ·
Undergrad How to define an open set using the four axioms of a neighborhood
- learning physics
- · Replies 2 ·
Undergrad Is the Belt Trick Possible with Continuous Deformation in 3D Rotation Space?
- cianfa72
- · Replies 8 ·
Undergrad On differentiability and Fourier coefficients (Vretblad's text)
- psie
- · Replies 4 ·
Graduate Examples of essential singularities in complex analysis
- LagrangeEuler
- · Replies 6 ·
Undergrad On limit of convolution of function with a summability kernel
- psie
- · Replies 2 ·
Undergrad Fourier coefficients of convolution
- psie
- · Replies 1 ·
Undergrad Result 2.14: outer measure and interval length in Axler
- Math Amateur
- · Replies 8 ·
Undergrad Bounding modulus of complex logarithm times complex power function
- psie
- · Replies 4 ·
High School Why is a circle allowed in the Poincaré conjecture if a line with endpoints isn't?
- shiv23mj
- · Replies 2 ·
Undergrad Is a Locally One-to-One Proper Map Globally Bijective?
- Ashley1209
- · Replies 8 ·
Undergrad On a remark regarding the Cauchy integral formula
- psie
- · Replies 2 ·
Undergrad Continuity of Quotient of Complex Values
- thatboi
- · Replies 5 ·
Undergrad Complex function, principal value notation
- Hill
- · Replies 5 ·
Undergrad Infinity Numbers (Expanded P-Adic Numbers)
- Lokalgott
- · Replies 10 ·
High School Getting from complex domain to real domain
- jaydnul
- · Replies 3 ·
Undergrad Naming convention for "Functional Variance"?
- quasar987
- · Replies 7 ·
Undergrad Why is f(u)e^(iω(t-u)) not L¹(ℝ×ℝ)?
- laurabon
- · Replies 6 ·
High School Why is the set {(x,y)∈Ω×R|y=f(x)} a manifold?
- SaschaSIGI
- · Replies 6 ·
Graduate Topology - Boundary of a ball without a point
- physics1000
- · Replies 5 ·
Graduate Why the triangle inequality is greater than the 2 max{f(x),g(x)}
- cbarker1
- · Replies 1 ·
Undergrad Feedback for my YouTube Videos on Real Analysis
- caffeinemachine
- · Replies 4 ·
High School How Do Dedekind Cuts Affect Addition and Negative Numbers?
- bhobba
- · Replies 6 ·
Undergrad Using Residues (Complex Analysis) to compute partial fractions
- cbarker1
- · Replies 4 ·
Undergrad Is the Set of Integer Outputs of sin(x) Sequentially Compact in ℝ?
- MidgetDwarf
- · Replies 3 ·
Graduate Even with a whimsical mathematical usage, solutions are obtained!
- Z-10-46
- · Replies 5 ·
Undergrad Circuits or edge-disjoint unions of circuits in a connected graph
- cianfa72
- · Replies 1 ·
Undergrad How can you represent a point by "z = x + iy" as shown here?
- Slimy0233
- · Replies 10 ·
Undergrad Can you somehow make left handed helix into a right handed?
- sol47739
- · Replies 8 ·
Axler's result 2.8: arranging intervals to prove countable subadditivity
- Math Amateur
- · Replies 2 ·
Undergrad Calculate the residue of 1/Cosh(pi.z) at z = i/2 (complex analysis)
- Old Person
- · Replies 7 ·
High School Does the waveform y = 0 have an inverse?
- bahamagreen
- · Replies 3 ·
High School Is π+arctan(2) a complex number in the second quadrant?
- mcastillo356
- · Replies 7 ·
High School Wolfram Alpha's Why the 2 i π n?
- OmCheeto
- · Replies 3 ·
High School Aperiodic Tiling with a single tile shape
- .Scott
- · Replies 5 ·
Graduate Regarding fibrations between smooth manifolds
- aalma
- · Replies 1 ·
Undergrad Geometry of series terms of the Riemann Zeta Function
- Swamp Thing
- · Replies 3 ·
Undergrad I need a mapping from the unit Hypercube [0,1]^n to a given simplex
- benorin
- · Replies 17 ·
Undergrad When does a discrete subring of the reals become dense?
- Paul Colby
- · Replies 11 ·
Checking Proof of Theorem 6.2.8 Part (ii)
- Math Amateur
- · Replies 2 ·
Undergrad I would like opinions of the latest draft of my note - Integration
- benorin
- · Replies 4 ·
Undergrad Upper and Lower Darboux Sum Inequality
- Magnetons
- · Replies 2 ·
Graduate Does Perelman's proof of the Poincaré conjecture imply the universe is a 3-sphere surface?
- donglepuss
- · Replies 3 ·
Undergrad Original definition of Riemann Integral and Darboux Sums
- Hall
- · Replies 14 ·
How to Prove \(\text{vol}_n (B) = \text{vol}_n (B') + \text{vol}_n (B'')\)?
- Math Amateur
- · Replies 2 ·
Graduate Infinite series of this type converges?
- mathman
- · Replies 5 ·
Undergrad In a 3-dimension isoperimetric problem, a ball maximizes the volume
- graphking
- · Replies 6 ·
Undergrad Create a surjective function from [0,1]^n→S^n
- laurabon
- · Replies 8 ·
Undergrad Lars Olsen proof of Darboux's Intermediate Value Theorem for Derivatives
- Hall
- · Replies 9 ·
Graduate L² norm approximation of Riemann integrable functions by continuous periodic functions
- physics1000
- · Replies 5 ·
Undergrad Does topology distinguish between real and imaginary dimensions?
- Feynstein100
- · Replies 35 ·
Undergrad Proof of i-th Root of i: Analytic Connection?
- Gear300
- · Replies 7 ·
Undergrad Why does the identity map induce the identity homomorphism on π₁(X)?
- Mikaelochi
- · Replies 2 ·
How to Prove a Complex Number Equation and Its Trajectory Forms a Circle?
- WMDhamnekar
- · Replies 2 ·
Graduate What is the significance of the Poincaré conjecture?
- donglepuss
- · Replies 1 ·
Undergrad Understanding an argument in Intermediate Value Theorem
- Hall
- · Replies 5 ·
Undergrad Applications of complex gamma (or beta) functions in physics?
- nomadreid
- · Replies 6 ·
Undergrad Are there any elementary functions of norms that are still norms?
- askmathquestions
- · Replies 4 ·
Undergrad Applications of measurement of commutativity
- askmathquestions
- · Replies 5 ·
Graduate Standard action of S¹ on Sⁿ
- WWGD
- · Replies 64 ·
High School Is the Texan Conjecture a mathematical truth or a myth?
- thetexan
- · Replies 5 ·
The Supremum of a Set is not an Interior Point
- OhMyMarkov
- · Replies 2 ·
Question via email about complex numbers
- Prove It
- · Replies 1 ·
Effie's question via email about Complex Numbers
- Prove It
- · Replies 2 ·
Can This Forgotten Formula Simplify the Laplace Transform of \(y(t)^3\)?
- chisigma
- · Replies 1 ·
Sava's question via email about solving complex number equations
- Prove It
- · Replies 1 ·
Undergrad If a sequence converges, then all subsequences of it have same limit
- Hall
- · Replies 7 ·
How Can I Tackle Difficult Questions Effectively?
- jaychay
- · Replies 2 ·
Undergrad How did Archimedes' lemma enter modern real analysis?
- Gear300
- · Replies 5 ·
Undergrad Simplify Tricky Equation for Purely Imaginary C with Complex Constants
- thatboi
- · Replies 5 ·
Graduate Laurent series for algebraic functions
- the_pulp
- · Replies 9 ·
Proving Measure Space Properties of $(X,\bar{\mathcal{B}} ,\bar{\mu})$
- fabiancillo
- · Replies 2 ·
Graduate PD code yields two different knot diagrams
- sophiatev
- · Replies 3 ·
Undergrad How can I use the concept of a proper map to show that a set is bounded?
- cbarker1
- · Replies 18 ·
Undergrad Rewriting the Toeplitz Conjecture
- MevsEinstein
- · Replies 7 ·
Undergrad ##\epsilon - \delta## proof and algebraic proof of limits
- Hall
- · Replies 48 ·
High School Can this decomposition of zeta relate to the Riemann hypothesis?
- MevsEinstein
- · Replies 4 ·
Prove that the function is monotonic and not decreasing
- fabiancillo
- · Replies 2 ·
High School Is the 10 Dimensional Poincaré Group a Coincidence?
- Paige_Turner
- · Replies 2 ·
Graduate What does the metric of a 6D space with 3 compactified dimensions look like?
- JandeWandelaar
- · Replies 20 ·
Undergrad Is it valid to express a complex number as a vector?
- Mayhem
- · Replies 8 ·
Undergrad The asymptotic behaviour of Elliptic integral near k=1
- julian
- · Replies 2 ·
Undergrad I need integrals Int[0,infty]t^(a-1) e^(-t) F(z, e^(-t))dt
- benorin
- · Replies 4 ·