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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 Differentiating a fourier series
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Graduate Is there a way to find a homeomorphism of the torus using a 2x2 integer matrix?
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Graduate Another question about Fourier series convergence
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Undergrad Why Do We Have Different Terms for Least Upper Bound and Supremum?
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Undergrad How Can We Prove the Global Minimum of the Absolute Value Function at x=0?
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MHB Proving b^r = sup(B(r)) for rational r using a proof by contradiction
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MHB Can Any Real Number in (0,1) Exceed 1 with a Natural Number Exponent?
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MHB Why Is the Function Bounded in the Extreme Value Theorem Proof?
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Graduate Pointwise Convergence of Fourier Series for a continuous function
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Graduate Uniform Convergence of Power Series
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MHB A complex number problem that has been vexing me....
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MHB Relationship between two entire functions
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MHB Proving an entire function is a polynomial under certain conditions
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MHB Responding to MF91's Claims on Real Numbers
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Graduate Understanding Subset Equivalence in Lipschitz Equivalent Metrics Proof
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Graduate Continuous mappings in topology.
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Graduate Spivak's proof of A closed bounded subset of R^n is compact
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MHB Is $|f(\theta)|$ less than or equal to the sum of the absolute values of $A_n$?
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MHB How to Solve the Heat Problem in the Disk using Fourier Series?
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Graduate Using the residue theorem to evaluate a real integral.
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MHB On the Implication of Addition Axioms
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Graduate Closed and open at the same time?
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Graduate Does Cl(X-A)=X-Int(A) work in infinite and uncountable dimensions?
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MHB Closed sets intersection of countable open sets
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MHB Accumulation Points of $(-1)^n + (1/m)$: Is it True?
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Graduate A question on the orthogonal polynomial
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Graduate Understanding lim sup and lim inf: Finding limit points and subsequential limits
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MHB Find Fourier Series for Piecewise Function
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MHB What Are the Accumulation Points of the Sequence $1/n$?
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MHB Are the Accumulation Points of the Series $(-1)^n/[1 + (1/n)]$ Open at 1 and -1?
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MHB Complex accumulation points and open/closed
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MHB Accumulation Points of Rationals: Explained
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MHB R^2 accumulation and open/closed
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Graduate Defining an upper/lower bound in lexicographically ordered C.
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MHB Solving Even Function Integrals: $a_0$ & $a_n$
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MHB Calculating Fourier Coefficients for $f(\theta) = \theta^2$ on $[-\pi, \pi]$
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MHB Understanding a question Fourier series
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MHB Fourier Coefficients for $f(\theta) = \theta$
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MHB Calculating Fourier Series of $f(\theta)$ on $[\pi, -\pi]$
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MHB Proof: if f holomorphic then f(z)=λz+c
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Graduate Bad proof in Fomin's Calculus of Variations?
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MHB Is $f$ a one-to-one function on $S$?
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Graduate Open sets preserved in linear transformation that isn't bijective?
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MHB Are There Infinitely Many Rational Numbers Between Two Irrational Numbers?
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Undergrad What is the limit of (ah-1)/h as h approaches 0?
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Graduate How can we prove that the sum of alternating squares equals pi squared over 12?
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Graduate Domain and range of complex functions
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Graduate Lebesgue topological dimension
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MHB Proving $\sum_{k=1}^{n}e^{ik\theta}$ Formula
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MHB Supremum and Infimum of $S$: $a < b < c < d$
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MHB Trig identities Fourier Analysis
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Undergrad Proving a known proof involving injection.
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Undergrad Understanding Function Notation in Higher Level Mathematics
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MHB Special cases for sine and cosine sum
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MHB Proving the Polynomial Identity for Dividing a^n-b^n by a-b
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MHB Proving Sum of Cosines Simplifies to Trig Identity
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MHB Proving the Basic Identity of Fourier Series
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Undergrad Bounded Sequence: Thomas-Finney Definition Explained
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Graduate Is the Nested Interval Theorem Flawed in My Textbook?
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Graduate Topology, functional analysis, and group theory
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Graduate Proof Error Q. Conway's Functions of One Complex Variable VI
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MHB Singularities of Complex Functions
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Graduate Are Sigma Algebras Unique for a Given Set?
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Graduate Spivak Exercice, Least Upper Bounds Chapter, Proof
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Undergrad Understanding K-Convexity: Visualization and Intuitive Explanation
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Graduate Does Unconditional Convergence Apply to Infinite Subseries Partitions?
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Graduate Cardinalic flaw of Riemann integral
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Graduate Showing Closed Subsets of Compact Sets are Compact
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Graduate The role of the Jacobian in the Implicit Function Theorem
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Graduate Proof of Lagrange multipliers method in calculus of variations.
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Graduate Calculus of Variation on Local Regions of Function Space
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Graduate Why Are There No Interior Points in the Cantor Set?
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Undergrad The least upper bound property and the irrationals.
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Graduate Why Can't a Sequence Have Two Distinct Limits in a Metric Space?
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Graduate Is a Concave, Nondecreasing, and Bounded Function on [0, ∞) Always Continuous?
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Graduate Apply Lebesgue Integral: Examples & Explanations
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Graduate Precise definition of the limit of a sequence
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Graduate Playing with Analytical Operators
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Graduate Q is dense in R question about proof
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Graduate Can complex numbers solve x^x = i and what is (-1)^{\sqrt{2}}?
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Graduate Conditional vs unconditional convergence
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Graduate What is Semidifferential Calculus?
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Graduate Why Parseval's Identity Fails for Higher Exponents in Basel Problem
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Undergrad An Intuitive Understanding Vs. Analytic Proofs
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Graduate Rudin Thm 2.41: E Closed & Bounded if Every Inf Subset Has a Lmt Pt
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Graduate Countable versus uncountable infinities in math and physics
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Graduate Is it Possible for a Closed Disk to be Contained in an Open Set?
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Graduate Homeomorphisms with the discrete topology
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Graduate Difference between theorems 2.12 & 214 of Baby Rudin
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MHB Lambert W Function: Solving $r=ue^u$
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Undergrad An algebraic property of complex numbers
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Graduate Sequence in Hilbert space,example
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MHB What is the error bound in cubic spline approximation?
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Graduate Dirac delta function, change of variable confusion
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MHB Complex Number Loci: Proof and Circle Variation with z = 1/(3+it)
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Graduate Does this condition imply f:R^2->R is continuous?
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Graduate Mapping unit circle from one complex plane to another
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Graduate Measurable and Unif. Convergence in (a,b)
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MHB Fourier series, pointwise convergence, series computation
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Graduate Geometric difference between a homotopy equivalance and a homeomorphism
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