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.
Sub-forums
Threads
Undergrad Finding maximum weight paths in directed graphs
- AntistatiK
- · Replies 2 ·
Graduate Why can an open set be a disjoint union of countably many intervals?
- jdinatale
- · Replies 3 ·
Graduate Do open sets in R^2 always have continuous boundaries?
- lugita15
- · Replies 6 ·
An integral representation of the Riemann zeta function
- polygamma
- · Replies 1 ·
Find disjoint connected subsets of a square with given boundary points
- HallsofIvy
- · Replies 2 ·
Graduate Why Are the Definitions of Hausdorff Dimension Equivalent?
- hedipaldi
- · Replies 1 ·
Graduate The pure-point subspace of a Hilbert space is closed
- AxiomOfChoice
- · Replies 3 ·
Finding the real and imaginary parts of a function
- shen07
- · Replies 6 ·
Finding f(x) such that f(f(x)) = x² - x + 1
- MarkFL
- · Replies 14 ·
Graduate The nature of the dirac delta function
- sgfw
- · Replies 8 ·
Undergrad Why does z = cosθ + jsinθ in complex number form?
- anhnha
- · Replies 7 ·
Proving |z-w/(1-z̄w)|<1 for |z|,|w|<1
- SweatingBear
- · Replies 6 ·
Is u(x,y) = e^(3x)((3y-2)cos(3y)-2xsin(3y)) harmonic?
- shen07
- · Replies 4 ·
Undergrad Complex numbers should start with 2D vectors, not sqrt(-1)
- meBigGuy
- · Replies 24 ·
Solving Complex Expressions for Scientists
- shen07
- · Replies 9 ·
Graduate Can a Non-Monotonic, Bounded Function Have a Limit?
- DeadOriginal
- · Replies 8 ·
Graduate How Does Knot Theory Connect with Other Fields and Real-World Applications?
- modnarandom
- · Replies 1 ·
Ambiguity in the Arc-Tangent Function
- bw0young0math
- · Replies 3 ·
Graduate Where Can I Find Information on Non-Trivial Zeros and Meromorphic Functions?
- greentea28a
- · Replies 1 ·
What Are the Possible Values of 2^(-i)?
- shen07
- · Replies 10 ·
Can a sequence without a convergent subsequence have a limit of infinity?
- Fernando Revilla
- · Replies 4 ·
Sum of squares of average change is less than
- caffeinemachine
- · Replies 3 ·
Undergrad Finding Amplitude and Phase of Complex Functions
- hogrampage
- · Replies 1 ·
Graduate Complex conjugates of functions
- brmath
- · Replies 2 ·
Undergrad What is the concept of fractal dimension and how is it computed?
- hedipaldi
- · Replies 1 ·
Graduate Why is this expression bounded by 1?
- AxiomOfChoice
- · Replies 3 ·
Graduate When Does Set-Theoretic Logic Hold for Infinite Sets?
- jetplan
- · Replies 8 ·
Graduate Understanding Riemann Surfaces and Their Applications in Complex Analysis
- Mandelbroth
- · Replies 7 ·
Graduate How can I prove that this 2D expression is always less than 1 for n≠β?
- Karthiksrao
- · Replies 2 ·
Prove the geometric series formula 1+z+z²+...+zⁿ=(1-z^(n+1))/(1-z)
- shen07
- · Replies 3 ·
Find Residues for f(z) at $z=-n$
- alyafey22
- · Replies 2 ·
Graduate Does L^2 Convergance Imply Convergance of L^2 norms?
- logarithmic
- · Replies 1 ·
Graduate Function continuous on G_delta set and discontinuous elsewhere
- micromass
- · Replies 17 ·
How many real and non-real roots?
- SweatingBear
- · Replies 8 ·
Graduate The closure of an open set A, strictly bigger than A itself?
- adam512
- · Replies 5 ·
Prove the sum formula for cosines with binomial coefficients
- shen07
- · Replies 4 ·
Graduate Unboundness and periodicity for complex trig functions
- ppy
- · Replies 4 ·
Graduate Do Tensor Product Properties Hold in Infinite Dimensional Hilbert Spaces?
- LagrangeEuler
- · Replies 1 ·
Correspondence between Arc Lengths and Real Numbers in Trigonometry
- paulmdrdo1
- · Replies 7 ·
Homeomorphism between a cylinder and a plane?
- Fernando Revilla
- · Replies 1 ·
Graduate Is There a Non-Calculus Method to Prove this Thermodynamic Inequality?
- emroz92
- · Replies 3 ·
Which Real Numbers Intersect This Curve at Four Distinct Points?
- anemone
- · Replies 2 ·
Graduate Generalization of Mean Value Theorem for Integrals Needed
- Only a Mirage
- · Replies 3 ·
Graduate Some introductory Topology questions
- 1MileCrash
- · Replies 98 ·
Graduate A countable subset of an infinite set and the axiom of choice.
- gottfried
- · Replies 3 ·
Graduate Lebesgue measure and the Banch-Tarski Paradox
- gottfried
- · Replies 8 ·
Graduate How Does Orthogonal Projection Work in L^2 Spaces with a Self-Adjoint Operator?
- AxiomOfChoice
- · Replies 5 ·
Graduate Complex integral is zero but fn. is not analytic
- ppy
- · Replies 5 ·
Graduate No continuous square root function on the complex plane
- micromass
- · Replies 9 ·
Graduate How Can Norm Integration Address Inequality?
- nalkapo
- · Replies 3 ·
Infinite product with roots of unity and gamma functions
- polygamma
- · Replies 8 ·
Graduate Bounds on infinite sequences with a known limit
- Nelphine
- · Replies 5 ·
Irrational numbers forming dense subset
- bw0young0math
- · Replies 1 ·
Problem about finding sup of a set
- issacnewton
- · Replies 5 ·
Undergrad Proof about complex conjugate of a function
- anhnha
- · Replies 7 ·
Graduate Finding large order spherical harmonics
- alemsalem
- · Replies 2 ·
Graduate What Causes the Complex Number Paradox in Mathematics?
- bgq
- · Replies 23 ·
Graduate Show that an open connected subset of R^2 is path-connected
- adam512
- · Replies 9 ·
Graduate Equivalent conditions for a measurability restriction?
- economicsnerd
- · Replies 5 ·
Graduate Equal partition Integral problem
- subsonicman
- · Replies 9 ·
Graduate Lipschitz vs uniform continuity.
- gottfried
- · Replies 1 ·
Graduate Could we have negative dimensions?
- MathematicalPhysicist
- · Replies 2 ·
Graduate Complex analysis book with lots of solved problems?
- stgermaine
- · Replies 1 ·
Do we have identities for the inverse tangent function for complex numbers?
- alyafey22
- · Replies 4 ·
Graduate Are Abelian fundamental groups always isomorphic in path connected spaces?
- R136a1
- · Replies 1 ·
Graduate Is Every Closed Subset of ##\mathbb{R}^2## the Boundary of Some Set?
- R136a1
- · Replies 9 ·
What are the $\rho$ values in the zeros of the Zeta function?
- mathworker
- · Replies 1 ·
Liouville's extension of Dirichlet's theorem
- ksananthu
- · Replies 3 ·
Graduate Can the rational numbers be embedded in a countable complete metric space X?
- hedipaldi
- · Replies 17 ·
Inequality--is there an elegant way to solve this?
- Dustinsfl
- · Replies 4 ·
Which Book Should I Choose for Starting Complex Analysis?
- caffeinemachine
- · Replies 7 ·
Exact Differential: Show f(z)dz is Exact
- ssh
- · Replies 1 ·
Graduate Why is 4 Colors Sufficient to Color a 2D Map?
- Natron
- · Replies 1 ·
Continuous mapping of compact metric spaces
- alyafey22
- · Replies 6 ·
Graduate Some questions about topological groups
- R136a1
- · Replies 2 ·
Graduate Are Maps on a Sphere Homotopic if They Avoid Antipodal Points?
- R136a1
- · Replies 4 ·
Graduate Is the maximum of infinitely many functions continuous on a compact space?
- R136a1
- · Replies 8 ·
Graduate Integral Inequality for Measurable Functions
- amirmath
- · Replies 1 ·
Graduate Homeomorphism of Unit Circle and XxX Product Space
- hedipaldi
- · Replies 2 ·
Graduate Evaluate Integral of Bessel K Function
- kschau
- · Replies 2 ·
Compactness Theorem: Intersection of Compact Sets
- alyafey22
- · Replies 5 ·
Graduate Box topology does not preserve first countable
- R136a1
- · Replies 3 ·
Graduate Hausdorff Spaces: Does Convergence to One Point Characterize?
- R136a1
- · Replies 2 ·
Best books to learn real and complex analysis from scratch
- mathworker
- · Replies 6 ·
Graduate Does a second countable space have a converging sequence in its closure?
- R136a1
- · Replies 6 ·
Graduate Graph of f:[0,1]->R compact <=> f continuous
- dumbQuestion
- · Replies 5 ·
Graduate The difference between the limits of two Cauchy Sequences
- ANphysics
- · Replies 13 ·
Graduate Prove Compact Metric Space is Locally Path Connected
- hedipaldi
- · Replies 4 ·
Graduate Open sets in the product topology
- dumbQuestion
- · Replies 1 ·
Graduate Cont image of connected space is connected proof check?
- dumbQuestion
- · Replies 2 ·
Graduate A problem about non-separable Hilbert space
- prophetlmn
- · Replies 7 ·
Graduate Find a 2-arguments function from six constraints on its derivatives
- GreenZorg
- · Replies 4 ·
Prove Log Gamma Integral: $\sqrt{2 \pi}$
- alyafey22
- · Replies 2 ·
Graduate Homeomorphism through cutting and pasting of manifolds
- Mr-T
- · Replies 9 ·
Graduate Why is the Twin Primes Conjecture still relevant to mathematicians today?
- mathnerd15
- · Replies 8 ·
Lagrange's Identity and Cauhchy-Schwarz Inequality for complex numbers
- rmcknigh
- · Replies 1 ·
Prove 7.81: Contour Integration for Schaum's Outline Series
- alyafey22
- · Replies 6 ·
Graduate Why Isn't the Sum of Grandi's Series Zero?
- Natron
- · Replies 8 ·
Undergrad A proof regarding Rational numbers
- thudda
- · Replies 4 ·
Graduate Difference between quantifier order in function definitions
- thudda
- · Replies 4 ·