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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.
Graduate Is Euclid's Fourth Postulate Redundant?
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MHB How Do I Prove the Cantor-Bernstein Theorem?
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MHB Expressing zeta(3) in terms of a Glaisher-Kinkelin-like constant
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Graduate Examples of Diminnie orthogonality
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Graduate Constructing the real number system by Dedekind cuts?
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MHB How is the proof of the hard limit problem related to continuity of a function?
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MHB A derivation of the duplication formula for the Barnes-G function
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Graduate {R. Zeta fn. zeros} = {Dir. eta fn. zeros} for 0<Re(s)<1?
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Graduate Cauchy-Goursat Theorem question
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Graduate Simplifying an Infinite Composite Recursion in a System of Equations
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MHB Show that the function is not differentiable at the point z
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Undergrad Challenge 10a: Temperatures of the Earth
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Graduate The windowed Fourier transform on R
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MHB Show that f'(0) exists and find its value
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High School Any real world use of imaginary numbers?
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MHB Generalized Log-Trig series related to the Hurwitz Zeta
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MHB Trigonometric series related to the Hurwitz Zeta function
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Graduate Equicontinuity at a point if.f. continuous function constant
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Graduate Are resolvents for self-adjoint operators themselves self-adjoint?
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Graduate Which algebraic branches does a pochammer contour traverse?
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MHB A conjecture on a Generalized Barnes' function - can anyone help?
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Graduate Defining the square root of an unbounded linear operator
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Graduate Are Absolute Harmonicity and Analyticity Related in Functions?
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MHB How Can One Prove the Besicovitch Covering Lemma for an Unbounded Set?
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MHB If Derivative is Not Zero Anywhere Then Function is Injective.
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Undergrad Is Adult Rudin Suitable for Self-Study of Complex Analysis?
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MHB Proving Simple Summable Functions and Cauchy Sequences on [0,1]
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Graduate Why Must Cuts in the Rationals Have No Largest Element?
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Graduate Find Analytic Functions with u(x,y)=(x^2)+(y^2)
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Graduate Is the closure of a set the same as its smallest closed set containing it?
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Graduate Identifying singularities of f and classifying them
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MHB Proving Y is Dense in X: Let's See!
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Graduate Definition of two homeomorphic spaces
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MHB Poles on Real Line: Is \(z = \pm a\) Included?
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MHB Prove u(A/E)=0 for Compact Hausdorff Spaces and Borel Measure
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MHB Norm of a Bounded Linear Functional
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Graduate Definition of a subbasis of a topology
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MHB Complex Number Problems in Applied Maths
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MHB How Is the Variation of a Complex Charge Determined with Disjunctive Charges?
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MHB Measurability of Open Sets in [0,1]
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Graduate Measurability with respect to completion
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Graduate What is ramification for z^(p/q)(1-z)^(r/s)?
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MHB Can the Dominated Convergence Theorem Apply to f_n(x) on [0,1]?
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MHB Show that the sequence has a decreasing subsequence
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Graduate Are the positive-semidefinite requirements necessary for metric space axioms?
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Graduate Can the topology of a manifold influence its metric properties?
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Graduate Is the empty set always part of the basis of a topology?
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Graduate Questions about the definition of open sets
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Graduate Is There a More Rigorous Analysis Text Than Rudin?
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Graduate Poor Symbol choice - Principles of Mathematical Analysis by Rudin
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MHB Approximation property with F sigma and G delta Sets to show a set is measurable
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Graduate Modified Bessel function with imaginary index is purely real?
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MHB Using Classification of Poles to Calculate Residues
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Graduate How to Express Function f in Terms of Complex Variable z?
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MHB Examples of Uniformly, point wise convergence
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MHB Odd Space Question: Defining a Function from Reals to Reals for Negative Numbers
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Graduate Understanding Complex Integrals: Interpretation and Visualization
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Graduate Advanced numerical analysis - numerical integration
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Graduate Why Does B Include the Segment [a,c) in Topological Space X?
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High School Why is i^2 equal to -1 in complex numbers?
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MHB Evaluate |y²|+|z²| for Complex Numbers w/ |x+y+z|=21, |x-y|=2√3, |x|=3√3
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Graduate Is there a relation between log and arcs for complex numbers?
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MHB Solving Complex Integration Problems with \((*) Formula
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MHB Product of discontinuous functions
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MHB Coefficient in a Laurent Expansion in terms of an Integral
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Graduate Isolated points must be boundary points?
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MHB Convergence of bounded linear operators
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MHB Limit of f(x+y)=f(x)+f(y) near 0
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Graduate Rudin Theorem 1.21. How does he get The identity ?
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MHB Integral = 2pi sum res UHP + pi i sum res real axis
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Graduate How to think of uniform continuity intuitively?
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MHB Complex real function u when f = u + iv
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Undergrad What does a function takes on mean?
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Graduate Bijection is uniformly continuous
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MHB How can I solve power series questions 1a, 1c, and 1f?
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MHB Residues/Classifying singularities
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MHB What is the residue of a complex integral with a double pole at infinity?
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MHB Residue Calculus: Solving Integrals with Sinusoidal Functions
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Graduate Can someone explain the need for Laurent series in complex analysis?
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MHB What is the definition of lim sup and how is it related to subsequential limits?
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High School What is the Best Book on Complex Numbers for Beginners?
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MHB Complete spaces and Cauchy sequences
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MHB Simplifying a Legendre polynomial
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MHB A curiosity about the Riemann Zeta Function....
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MHB Neighbourhood of Convergence of Sequence
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Undergrad Maclaurin series of an elementary function question
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Graduate How does the choice of branch cut affect the values of a multi-valued function?
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MHB Proving Divergence of $\cos(n)$ w/ Definition of Limits
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Graduate All real numbers are complex numbers?And are I #'s orthogonal R#'s?
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Graduate Compact embedding and dense embedding
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MHB Is A Measurable if the Inner and Outer Measures are Equal?
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Graduate Equation with two unknowns in complex exponential
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MHB Mapping/determining domain/range
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Graduate Interchaning Limits and Inner Products
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Graduate Prove or disprove the following statement using sets frontier points
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MHB Problem involving m-tail of a sequence
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Graduate The space of solutions of the classical wave equation
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Graduate Is α an element of B in Rudin's Theorem 1.11?
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Undergrad Interior points proof where one set is a subset of the other
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Graduate How can I calculate this integral using contour integration?
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