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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 Complex conjugate of a complicated function
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MHB Calculating Fourier Cosine Series of cos(x) from 0 to \pi
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MHB Proving x^8+1=P_0^3(x^2-2xcos(2k+1)π/8+1)
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Undergrad Some remarks on complex numbers
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Graduate Fourier transform and the frequency domain
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MHB There are a,b>=0, such that |f(x)|<= ax+b
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MHB Second mean value theorem in Bonnet's form
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MHB Is $f(x)=\sqrt{x},x\geq 0$ Lipschitz at $[0,\infty]$?
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MHB Show that gof is uniformly continuous
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MHB Differentiability of complex function
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MHB Prove Real Roots of $x^3+ax+b=0$ When $a<0$
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Graduate Would anyone like to comment on my proof?
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MHB The Controversy Surrounding the Definition of Logarithm for Complex Numbers
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MHB If an operator commutes, its inverse commutes
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Undergrad How exp(jwt)=cos(wt)+jsin(wt)?
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MHB Limit superior and limit inferior
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MHB Proving Continuity in a Rectangle Using f(x,y) Function
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MHB Munkres' 'Analysis on Manifolds' Question.
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Undergrad In the complex number system, why can't 1+1 = 0 ?
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MHB Continuous extension of homomorphism
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Graduate Is there any intro topics involving topology and physics?
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MHB Limit of Inverse Operators: Proving Convergence for Bounded Linear Sequences
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Graduate Give me example of antipodal set in infinite dimensional?
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MHB Showing a certain algebra is closed under inverses
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Graduate Why Doesn't the Fourier Series of a Dirac Comb Match Pointwise Values?
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MHB Show that there is a z such that f(z)=0
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MHB Show that if Σ((an)/(1+an)) converges,then Σan also converges
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MHB Are Simple Functions Dense in Bounded Borel Functions on a Compact Space?
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MHB How is this inequality obtained?
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Undergrad 2 definitions for argument, why?
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MHB How Can Complex Analysis Be Used to Sum Powers of Sine Functions?
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MHB Proving Homomorphism in Commutative Subalgebras of Bounded Operators
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Undergrad Contradiction in the definition and properties of the abs
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Graduate Is the space of tempered distributions 1st countable ?
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Graduate Real numbers without set theory
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Graduate Topological indistinquisable points and set theory.
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MHB Finding Minimum Value of Polynomial Function f
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Graduate Question on Definition of Cover of a Set
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Undergrad Hyperbolic Sine - Exponent transition
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MHB Show that the limit is equal to zero
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Graduate Surface height from surface normal function
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MHB Show that two subsequences are monotonic and bounded
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MHB Does the Sequence Diverge Using Inequalities?
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MHB Is f(x) Differentiable at x=0?
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MHB Show that there is a M>0 such that |f(x)|<M
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MHB Can the sequence be determined by finding the difference?
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Undergrad Can Complex Numbers in Polar Format Be Equated Like Real Numbers?
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Graduate Dyadic Squares in the Unit Disc: A Proof and Critique
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Graduate How to interpret this problem involving dyadic squares and unit disc?
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Graduate Understanding the Open Set: Definition & Examples
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MHB How can I find the maximum, minimum, supremum, and infimum of a given set?
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Graduate How would one prove that algebraic topology can never have a non self-
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Graduate Can We Visualize the Fifth Dimension?
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Graduate Interpreting Complex Solutions in Cubic Bezier Curve Problems
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MHB Question about decreasing sequence and finding its limit
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MHB Fixed Point Theorem: Estimating x* With x9 & x10
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Graduate Can open sets and closures intersect in a topological space?
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Graduate Approximating function by trigonometric polynomial
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Graduate Projection to Invariant Functions:
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Graduate Möbius Transformations <=> holomorphic and 1-to-1?
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MHB Can a Continuous Curve Only Intersect a Differentiable Curve at the Origin?
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Graduate How to derive beta function as pochhammer contour integral?
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MHB What are the possible values of $x+y$ in this complex number problem?
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Graduate If all elements of a set are individually bounded, is the set bounded?
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MHB The sine inverse of a purely complex number
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MHB Pointwise convergence implies uniform convergence
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MHB Parameterization for a Straight Line
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MHB Understanding $\frac{1}{2}(\sin(z))^2$ and its Solution Using the Attached Image
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Graduate Complex Made Simple: Notation on Disks
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Graduate How to check if function is differentiable at a point
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Graduate Norms of compositions of bounded operators between different spaces
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Graduate Finding Derivatives of Analytic Functions: Chain Rule Confusion
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MHB How do I solve complex number z^4+16=0
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MHB Complex Number Equation: Why Does a+bi=1 Not Give the Final Answer?
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Graduate Heegard Splitting of the 2-Torus.
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Graduate Homotopy and Continuous Functions
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Graduate Principles Of Mathematical Analysis-Walter Rudin
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Graduate Definition of a circle in point set topology.
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Undergrad Is Sqrt(-1) not unique? I.e. is i not the only one?
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MHB Does Euclid's Fifth Postulate Apply to Non-Flat Surfaces Like Spheres?
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Graduate Consecutive Reals: A Hypothetical Possibility?
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Graduate Need help with simple proof, metric space, open covering.
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MHB Two questions, one on harmonic functions
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MHB Proving Absolute Convergence of a Real-Valued Function on a Sigma Algebra
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Graduate Continuity of the inverse of a linear operator
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Graduate Inequality integral absolute value derivative
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MHB Pointwise Conv. | Does $f_{n}$-$f$ -> 0 for Each x?
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Graduate Convex sets - How do we get (1−t)x+ty
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Graduate Idea behind topological manifold definition.
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MHB What is the relationship between the Mellin transform and the sine function?
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Graduate Establishing that a function is discontinous
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Graduate Inverse Function Thm. and Covering Maps.
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Graduate Principles Of Mathematical Analysis-Walter Rudin
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Graduate Uniform continuity and the sup norm
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Graduate The set of the real numbers is closed
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MHB Closed form chains of derivatives
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Undergrad Complex numbers: reinventing the wheel?
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Graduate Understanding Contractible Curves
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Graduate Construct an explicit isomorphism
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Graduate Are There Subsets of the Real Line That Are Compact But Not Connected?
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