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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.
MHB Solving Series Convergence Problems: 1+ \frac{1}{3}-\frac{1}{2}+\frac{1}{5}+...
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MHB Is f a Contraction Mapping on [1,∞)?
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MHB Series Multiplication: Investigate Convergence
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Graduate Munkres Topology - Chapter 7 - Complete Metric Spaces and Function Spaces
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Graduate What Causes the Error in Calculating the L2 Norm of Complex Functions?
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Graduate How is a discrete topology a 0-manifold?
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Graduate Understanding the Real Inner Product in Linear Algebra and Fourier Analysis
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MHB Find the standard form of conic
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MHB Logical error in Spivak's Calculus?
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Graduate Fourier series: relation of coefficients
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Graduate Solve Complex Equation: Find Z, K in \frac{Z-a}{Z-b}=Ke^{±jθ}
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MHB Least upper bound - greatest lower bound duality
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Graduate Cantor Set - Perfect and Totally Disconnected
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MHB Strange inequality of infinite series
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Graduate Locally Compact Hausdorff Space is Regular
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Graduate Is There a Shape with More than 2^{\aleph_0} Sides in the Euclidean Plane?
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MHB Exponent of convergence of a sequence of complex numbers
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Graduate Find Exterior Derivative of Differential Forms in Dim > 3
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MHB Showing that nth root of c_n is equal to nth root of c_n+1 in the limit
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MHB On proving sup A is less than sup B when A is in B
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Graduate Radius of Convergence: Complex Series Need Not Be Defined Everywhere
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MHB Showing that lim_sup a_n b_n = lim a_n lim_sup b_n$
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MHB Proving lim sqrt(n) alpha^n is 0
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Undergrad How Do You Convert a Complex Spiral Equation from Polar to Cartesian Form?
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Graduate Are Topological and Algebraic Closures Related?
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Graduate Is there a coordinate independent Dirac delta function?
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Graduate Prove Rudin's Theorem 2.27: Closure of E in Metric Space X is Closed
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Graduate Does integration require a metric?
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MHB Supremum of f(x) on [a,b] vs. supremum of f(x+c) on [a+c, b+c]
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MHB Families of holomorphic functions and uniform convergence on compact sets
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Graduate Difference of closures is subset of closure of difference
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MHB Supremum Proof Concerning Sqrt[2]
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Graduate Differential of a function vs differential forms
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Undergrad Simple complex power: why is e^( i (2*Pi*n*t)/T ) not 1?
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Graduate When can interchange sum and integral
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Undergrad On solving for a variable in the magnitude of a complex number
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MHB Differentiating an integral wrt a function
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Graduate How Does the Density of Q in R Get Proven in Rudin's Analysis?
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Graduate Proof of existence of nonmeasurable sets
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Undergrad Is 1 Included in the Mathematical Set S?
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Graduate Confusion regarding Residue Theorem
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MHB Proving $\text{diam}(A)=\text{diam}(\overline A)$ for Metric Spaces
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Graduate How to find the cosine of i using Taylor series?
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MHB Is Every Continuous Function on [-1,1] Riemann-Integrable?
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Graduate Eigenvalues of a compact positive definite operator
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MHB Correcting Constants in Convolution of Fourier Transforms
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MHB Solve for A_n: Fourier Coefficient $$u_y(x,\pi) = 0$$
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Undergrad What should be the influence of the imaginary part on a complex number?
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MHB Imaginary Part of a Complex Function: How to Find It?
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MHB Dirichlet problem for the laplacian in the strip
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Graduate Convergent sequence in compact metric space
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Undergrad Solving for ΔP: Should I Include ΔVΔI?
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MHB Linear fractional transformation fixing a line
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Graduate Types of points in metric spaces
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Graduate Are Quotients by Homeomorphic Subspaces Homeomorphic?
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MHB Integrating delta/Bessel function
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Graduate Why Did Radon Choose Riemann-Stieltjes Over Lebesgue Integration?
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MHB Set equality with a function and its inverse.
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MHB If Σc_nx^n converges does Σc_n·nx^(n-1) converge as well?
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MHB Taylor Series: Exploring Properties & Applications
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Graduate Dirac Distribution with 2 Diracs
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Graduate How can we redefine limits to remove problems with the current definition?
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MHB Why is the following not true: f(f^(-1)(B))=B?
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MHB How Does the Logarithmic Function Affect Contour Integrals Around Infinity?
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Graduate Considering the hypothetical distance between consecutive reals.
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MHB Singularities, Residues, and Computation: Analyzing $f(z)$ without Prefix
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MHB Some Contour Integration Questions
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MHB Complex Analysis Review Question
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MHB Is the Inverse of a Function Always Well-Defined?
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Graduate How Can Different Definitions of Separating Families of Seminorms Be Reconciled?
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Graduate What Are Riemann-Stieltjes Integrals and How Can We Visualize Them?
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MHB Double Fourier Series for Bivariate Functions
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Graduate Is There a Way to Reverse Substitution in Finding Zeroes?
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Graduate Radius of convergence without complex numbers
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Graduate Is Every Metric Space Hausdorff?
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Graduate Absolutely convergent but not uniformly convergent
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MHB If f is holomorphic, is Σf(z^k) holomorphic?
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Graduate Differentiability of a Series of Functions
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Graduate Fourier series of functions with points of discontinuity
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MHB Solving Real Number Variables & Parabola Equations
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Graduate Theorem connecting the inverse of a holomorphic function to a contour integral
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Graduate How can the exact values of the W function be calculated for all numbers?
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Graduate How to show that the operation of a group is continuous?
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Undergrad Finding (2+6i)^(1/3): Proving a+bi Assumption is Correct
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Graduate In a sequence of all rationals, why is every real number a subsequential limit?
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MHB What is lim_(n→∞) ∫_(-∞)^∞〖〖 x〗^n e^(-n|x|) dm 〗?
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Undergrad Closed and bounded in relation to compact
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MHB Does this series converge almost everywhere?
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Undergrad Convexity of a function I don't understand
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MHB How should I show that lim_n ∫〖f_n dm〗 = ∫〖f dm〗?
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MHB Compute the integral of the Cantor-Lebesgue function ∫_0^1〖F(x)〗 dm .
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MHB What is a function that is continuous at all points except the rationals?
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MHB Continuous Except Jump Discontinuity: Showing True for Any Function
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Graduate Continuous function from (0,1) onto [0,1]?
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Graduate Complex analysis integration. Strange result
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Graduate Proving monotonicity of a ratio of two sums
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Graduate What is e^-iPi/2 and how can it be represented using cos and sin notation?
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MHB An interesting two variables function....
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Undergrad Proofing the derivatives of e^x from the limit approach
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Graduate Partial derivative exists at origin but not continuous there
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