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 Complex Analysis - Fibonacci Identity
- Physics-Pure
- · Replies 17 ·
Undergrad Can irrational numbers exist on the numberline?
- Mu naught
- · Replies 41 ·
Graduate A fundamental question on homeomorphism
- krete
- · Replies 5 ·
Graduate Prove f is in L3(dμ): Measurable Function
- hedipaldi
- · Replies 1 ·
Is This Integral Really Too Difficult to Solve?
- chisigma
- · Replies 6 ·
Graduate Understanding Quotient Spaces of Triangles
- iLoveTopology
- · Replies 2 ·
How to Analyze Series Convergence with a Floor Function?
- Lisa91
- · Replies 11 ·
Undergrad A continuous function having an inverse <=> conditions on a derivative?
- hb1547
- · Replies 2 ·
Graduate What is Homeomorphism Type? Definition & Examples
- iLoveTopology
- · Replies 1 ·
Solving Series Convergence Problems: 1+ \frac{1}{3}-\frac{1}{2}+\frac{1}{5}+...
- Lisa91
- · Replies 6 ·
Is f a Contraction Mapping on [1,∞)?
- Poirot1
- · Replies 1 ·
Series Multiplication: Investigate Convergence
- Lisa91
- · Replies 3 ·
Graduate Munkres Topology - Chapter 7 - Complete Metric Spaces and Function Spaces
- sammycaps
- · Replies 2 ·
Graduate What Causes the Error in Calculating the L2 Norm of Complex Functions?
- divB
- · Replies 5 ·
Graduate How is a discrete topology a 0-manifold?
- dumbQuestion
- · Replies 1 ·
Graduate Understanding the Real Inner Product in Linear Algebra and Fourier Analysis
- member 428835
- · Replies 5 ·
Find the standard form of conic
- Poirot1
- · Replies 1 ·
Logical error in Spivak's Calculus?
- nimon
- · Replies 2 ·
Graduate Fourier series: relation of coefficients
- divB
- · Replies 3 ·
Graduate Solve Complex Equation: Find Z, K in \frac{Z-a}{Z-b}=Ke^{±jθ}
- powers
- · Replies 3 ·
Least upper bound - greatest lower bound duality
- OhMyMarkov
- · Replies 1 ·
Graduate Cantor Set - Perfect and Totally Disconnected
- The5ifthColumn
- · Replies 8 ·
Strange inequality of infinite series
- pantboio
- · Replies 4 ·
Graduate Locally Compact Hausdorff Space is Regular
- sammycaps
- · Replies 4 ·
Graduate Is There a Shape with More than 2^{\aleph_0} Sides in the Euclidean Plane?
- cragar
- · Replies 3 ·
Exponent of convergence of a sequence of complex numbers
- pantboio
- · Replies 2 ·
Graduate Find Exterior Derivative of Differential Forms in Dim > 3
- saminator910
- · Replies 7 ·
Showing that nth root of c_n is equal to nth root of c_n+1 in the limit
- OhMyMarkov
- · Replies 2 ·
On proving sup A is less than sup B when A is in B
- OhMyMarkov
- · Replies 2 ·
Graduate Radius of Convergence: Complex Series Need Not Be Defined Everywhere
- freddyfish
- · Replies 3 ·
Showing that lim_sup a_n b_n = lim a_n lim_sup b_n$
- OhMyMarkov
- · Replies 1 ·
Proving lim sqrt(n) alpha^n is 0
- OhMyMarkov
- · Replies 1 ·
Undergrad How Do You Convert a Complex Spiral Equation from Polar to Cartesian Form?
- Rohitpi
- · Replies 2 ·
Graduate Are Topological and Algebraic Closures Related?
- Bachelier
- · Replies 8 ·
Graduate Is there a coordinate independent Dirac delta function?
- friend
- · Replies 5 ·
Graduate Prove Rudin's Theorem 2.27: Closure of E in Metric Space X is Closed
- Bachelier
- · Replies 11 ·
Graduate Does integration require a metric?
- friend
- · Replies 9 ·
Supremum of f(x) on [a,b] vs. supremum of f(x+c) on [a+c, b+c]
- OhMyMarkov
- · Replies 7 ·
Families of holomorphic functions and uniform convergence on compact sets
- pantboio
- · Replies 1 ·
Graduate Difference of closures is subset of closure of difference
- Rasalhague
- · Replies 4 ·
Supremum Proof Concerning Sqrt[2]
- MI6
- · Replies 2 ·
Graduate Differential of a function vs differential forms
- Damidami
- · Replies 1 ·
Undergrad Simple complex power: why is e^( i (2*Pi*n*t)/T ) not 1?
- Aziza
- · Replies 4 ·
Graduate When can interchange sum and integral
- Aziza
- · Replies 2 ·
Undergrad On solving for a variable in the magnitude of a complex number
- Jeff Cook
- · Replies 11 ·
Differentiating an integral wrt a function
- OhMyMarkov
- · Replies 3 ·
Graduate How Does the Density of Q in R Get Proven in Rudin's Analysis?
- kostas230
- · Replies 2 ·
Graduate Proof of existence of nonmeasurable sets
- mathmonkey
- · Replies 2 ·
Undergrad Is 1 Included in the Mathematical Set S?
- Bachelier
- · Replies 4 ·
Graduate Confusion regarding Residue Theorem
- Mr. Heretic
- · Replies 8 ·
Proving $\text{diam}(A)=\text{diam}(\overline A)$ for Metric Spaces
- Ubistvo
- · Replies 3 ·
Graduate How to find the cosine of i using Taylor series?
- pierce15
- · Replies 7 ·
Is Every Continuous Function on [-1,1] Riemann-Integrable?
- mm1239
- · Replies 7 ·
Graduate Eigenvalues of a compact positive definite operator
- SVD
- · Replies 2 ·
Correcting Constants in Convolution of Fourier Transforms
- Dustinsfl
- · Replies 17 ·
Solve for A_n: Fourier Coefficient $$u_y(x,\pi) = 0$$
- Dustinsfl
- · Replies 1 ·
Undergrad What should be the influence of the imaginary part on a complex number?
- pseudorandom
- · Replies 2 ·
Imaginary Part of a Complex Function: How to Find It?
- Poly1
- · Replies 2 ·
Dirichlet problem for the laplacian in the strip
- pantboio
- · Replies 1 ·
Graduate Convergent sequence in compact metric space
- pob1212
- · Replies 4 ·
Undergrad Solving for ΔP: Should I Include ΔVΔI?
- Kyouran
- · Replies 1 ·
Linear fractional transformation fixing a line
- pantboio
- · Replies 11 ·
Graduate Types of points in metric spaces
- pob1212
- · Replies 1 ·
Graduate Are Quotients by Homeomorphic Subspaces Homeomorphic?
- WWGD
- · Replies 11 ·
Integrating delta/Bessel function
- Dustinsfl
- · Replies 1 ·
Graduate Why Did Radon Choose Riemann-Stieltjes Over Lebesgue Integration?
- jsr9119
- · Replies 5 ·
Set equality with a function and its inverse.
- OhMyMarkov
- · Replies 2 ·
If Σc_nx^n converges does Σc_n·nx^(n-1) converge as well?
- OhMyMarkov
- · Replies 6 ·
Taylor Series: Exploring Properties & Applications
- OhMyMarkov
- · Replies 11 ·
Graduate Dirac Distribution with 2 Diracs
- divB
- · Replies 2 ·
Graduate How can we redefine limits to remove problems with the current definition?
- ato
- · Replies 33 ·
Why is the following not true: f(f^(-1)(B))=B?
- OhMyMarkov
- · Replies 1 ·
How Does the Logarithmic Function Affect Contour Integrals Around Infinity?
- pantboio
- · Replies 6 ·
Graduate Considering the hypothetical distance between consecutive reals.
- hddd123456789
- · Replies 7 ·
Singularities, Residues, and Computation: Analyzing $f(z)$ without Prefix
- pantboio
- · Replies 4 ·
Some Contour Integration Questions
- thatonekid
- · Replies 1 ·
Complex Analysis Review Question
- thatonekid
- · Replies 5 ·
Is the Inverse of a Function Always Well-Defined?
- OhMyMarkov
- · Replies 3 ·
Graduate How Can Different Definitions of Separating Families of Seminorms Be Reconciled?
- julian
- · Replies 1 ·
Graduate What Are Riemann-Stieltjes Integrals and How Can We Visualize Them?
- Artusartos
- · Replies 3 ·
Double Fourier Series for Bivariate Functions
- Dustinsfl
- · Replies 17 ·
Graduate Is There a Way to Reverse Substitution in Finding Zeroes?
- pierce15
- · Replies 5 ·
Graduate Radius of convergence without complex numbers
- rsq_a
- · Replies 22 ·
Graduate Is Every Metric Space Hausdorff?
- Dead Boss
- · Replies 2 ·
Graduate Absolutely convergent but not uniformly convergent
- samithie
- · Replies 1 ·
If f is holomorphic, is Σf(z^k) holomorphic?
- pantboio
- · Replies 5 ·
Graduate Differentiability of a Series of Functions
- luke8ball
- · Replies 1 ·
Graduate Fourier series of functions with points of discontinuity
- jorgdv
- · Replies 9 ·
Solving Real Number Variables & Parabola Equations
- DrunkenOldFool
- · Replies 1 ·
Graduate Theorem connecting the inverse of a holomorphic function to a contour integral
- IDontKnow1
- · Replies 1 ·
Graduate How can the exact values of the W function be calculated for all numbers?
- pierce15
- · Replies 5 ·
Graduate How to show that the operation of a group is continuous?
- Arian.D
- · Replies 7 ·
Undergrad Finding (2+6i)^(1/3): Proving a+bi Assumption is Correct
- Outrageous
- · Replies 6 ·
Graduate In a sequence of all rationals, why is every real number a subsequential limit?
- docholliday
- · Replies 4 ·
What is lim_(n→∞) ∫_(-∞)^∞〖〖 x〗^n e^(-n|x|) dm 〗?
- Jack3
- · Replies 3 ·
Undergrad Closed and bounded in relation to compact
- trap101
- · Replies 9 ·
Does this series converge almost everywhere?
- Jack3
- · Replies 2 ·
Undergrad Convexity of a function I don't understand
- newphysist
- · Replies 1 ·
How should I show that lim_n ∫〖f_n dm〗 = ∫〖f dm〗?
- Jack3
- · Replies 1 ·
Compute the integral of the Cantor-Lebesgue function ∫_0^1〖F(x)〗 dm .
- Jack3
- · Replies 1 ·