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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.
Undergrad A Question about Notation and Continuous Linear Functionals
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Undergrad Substitution in a Lebesgue integral
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Undergrad Boundedness and continuous functions
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Undergrad Is Compactness Necessary for Countable Objects?
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Undergrad Understanding the Heine Borel Theorem: An In-Depth Analysis
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Undergrad Integral: magnetic field inside infinite cylindrical current
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Graduate Why Is Topology Essential for Understanding Manifolds in GR?
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Undergrad Associated Legendre polynomials: complex vs real argument
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Undergrad Why is the Fourier transform of a sinusoid assumed as this?
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Undergrad Heine-Borel Theorem shouldn't work for open intervals?
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Undergrad Complex Analysis holomorphic condition
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MHB Sigma Algebra: Seeking Help on Closure & Countable Unions
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Undergrad Complex Analysis Radius of Convergence.
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Undergrad Anybody here read Winfree "Geometry of Biological Time"?
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Undergrad N-dimensional Lebesgue measure: def. with Borel sets
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Undergrad Lebesgue measure under orthogonal transofrmation
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MHB Helpful Tips on Solving Complex Equations
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High School Partial derivative of the harmonic complex function
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Undergrad Any graph is "drawable" on a 2D surface?
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Undergrad Any two polygons can be continuously "extended" or ....?
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High School What is a clopen set and how can a set be both open and closed?
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Undergrad Analytic functions of analytic functions
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Undergrad Graphs of inverse trigonometric vs inverse hyperbolic functions
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Graduate Convergence of a cosine sequence in Banach space
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Undergrad Why is E(t) multiplied by e^(-ix) in Plancherel's Theorem proof?
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Graduate Concept of duality for projective spaces and manifolds
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High School Can Riemann zeta function be written as ##f(s)=u(s)+iv(s)##?
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High School Simplifying the factors of a complex number's imaginary part
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Graduate Fourier Transform of a 2D Anisotropic Gaussian Function
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Graduate Why are conics indistinguishable in projective geometry?
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MHB Efficient Techniques for Solving Complex Integrals | Help with Definite Integral
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MHB Integrating by an other variable
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Undergrad What Is the Correct Expansion of \( e^{\frac{1}{z-1}} \)?
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MHB Efficient Method for Extracting Square Root of Complex Expressions
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High School Which Branch of Math Should I Study for a Foundation in Functional Analysis?
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Undergrad General topology: Countability and separation axioms
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Graduate Can Gamma Functions Be Evaluated Analytically for Non-Integer Values?
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Graduate On embeddings of compact manifolds
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Undergrad Tiling Polygons: Can Any n-Sided Polygon Tile?
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Graduate Density of Irrational Numbers in [0;1]
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Undergrad Relaxed conditions for the density: Ampère's law still valid?
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MHB Using the Definition: Showing $u \in C^0 [0,1]$
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Undergrad Imaginary sinusoidal exponential
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MHB What is the limit of the difference of square roots of consecutive numbers?
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High School What is the definition of a plane?
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MHB Proving the Existence of Constants in a Summation Inequality
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MHB The function is 0 almost everywhere
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Undergrad Struggling with Moduli in Complex Numbers?
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Undergrad Triangulation of circle and disk in R2
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High School Is 0 a Real Number, an Imaginary Number, or Both?
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MHB So, the final answer would be 0. Is that correct?
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MHB Is It Possible to Prove the Complex Number Challenge?
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Undergrad Why the space X=(0,1) is (not sequentially) compact?
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MHB Proof of Fredholm-Volterra Equation Convergence
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MHB Define a discontinuous sine function?
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MHB Real conjugates of complex numbers?
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Undergrad Physical implications from Vitali sets or Banach-Tarski?
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High School Can Complex Numbers Extend Beyond Two Dimensions?
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MHB Understanding the Integral in a Proof: A Closer Look at the Role of Supp and Chi
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MHB Can the Fourier Transform Prove the Fundamental Solution for a Heat Equation?
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Graduate A function whose integral is either 0 or 1
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Undergrad How Does Jackson's Use of Manifolds Enhance Understanding of Electrodynamics?
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MHB A whole function approximating polynomials
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Graduate Functional equation f(x)^n f(a - x) = 1
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Undergrad Cantor's intersection theorem (Apostol)
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MHB Does this count as a proof for the infimum?
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MHB Find GLB of A: $(-1)^n\left(\frac{1}{4}-\frac{2}{n}\right)$
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Graduate Can Discrete Parameters Be Used in Limit Calculations?
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High School Is hοh Monotonic If h Is Continuous?
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MHB Is the Product of Real Numbers Always Larger When Exponentiated?
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MHB Prove Lagrange Property w/ Algebra - A Hint for You!
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MHB Using the axioms of ordered field
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MHB Proving Subsets of Intervals in $\mathbb{R}$
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Undergrad Why Does Weak-* Topology Use Finite Neighborhoods?
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MHB Residue Calc: $\cot^n(z)$ at $z=0$
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Graduate The fundamental group of preimage of covering map
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Undergrad Partitions of Euclidean space, cubic lattice, convex sets
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Undergrad Non unicity of decimal expansion and extremes of intervals
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Graduate Commutations and delta in deriving Ampère's law
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Graduate Commutation integral/derivative in deriving Ampère's law
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MHB What Does the Branch of the Cube Root Function Mean?
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Graduate Question about proof from Bishop & Goldberg
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Graduate Charts on Topological Manifolds - Simple Notational Issue
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MHB How Do You Calculate the Contribution of Each Element to Total Variance?
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Graduate Convex Vector Spaces: Does Sum Exist in Normed Vectorial Space?
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MHB Complete Sets of Real Numbers: Find All
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Graduate Clarification: proof that perfect subsets of R^k uncountable
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Graduate Understanding the Purpose of Charts in Differential Geometry
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MHB Find Max Function g: $\sqrt{10^{2016}}$
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Graduate Find Real Value of sin(i) Without i
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Graduate Is Isometry the Same as Isomorphism?
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Undergrad Proof that the world is not flat
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MHB Proving Series Convergence: Comparing $\sum y_n$ with $\sum \frac{y_n}{1+y_n}$
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MHB Prove $(y_n)$ Converges to a Real Number Given $|y_{n+1}-y_n| \leq 2^{-n}$
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Insights Complex and Irrational Exponents for the Layman - Comments
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Graduate Can an n-dimensional object fit entirely in n-1 dimensions?
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MHB How can we show the existance of a ε?
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Graduate Proof that log2(i) is rational but I think it is wrong
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Graduate Can Penrose Stairs Be Realized on a Torus?
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Undergrad What is the Argument Principle in Complex Analysis?
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