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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 What do the complex factors of a polynomial over C show about its graph?
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Graduate Proper Orthogonal Decomposition?
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MHB How does theta transform into theta minus pi/2 in complex numbers?
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MHB Power Flow Calculation for Generator Node: Understanding Different Results
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MHB How do I evaluate the contour integral for $f'(z)/f(z)$ around $|z|=4$?
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Graduate Is Complex Multiplication Always Equal to Zero?
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MHB Integration using residue theorem (part 2)
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MHB Integration using residue theorem
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Graduate Complex solution to cos x = 2?
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MHB Series Divergence: Prove $\frac{a^n}{n^23^n}$ Diverges
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MHB Why Does Choosing z=1/n Demonstrate Non-Uniform Convergence?
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MHB Natural log of a complex number.
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MHB Finding roots of a complex number
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Graduate Integral x^n *f(x) dx =0 ; f for all n, f in C[0,1], then f(x)=0
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Graduate Restriction of Isotopy is an Isotopy
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MHB Complex Logarithm: Analytic Function on $1<|z|<2$
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Graduate Mapping Class Group of Contractible Spaces
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MHB Contour Integration: Calculating the Integral of $1/z$ with Residue Formula
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MHB What is the Cauchy Integral Theorem and How Does it Apply to Complex Numbers?
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MHB How can I express f(z) in terms of z using exponentials?
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Graduate Rigorous Definition of Infinitesimal Projection Operator?
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MHB How Can I Simplify Real Integration Calculations?
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MHB Therefore, $\sinh{(4-j3)} = \cos{(3)}\sinh{(4)} - \mathrm{i}\sin{(3)}\cosh{(4)}$
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Graduate Distributional derivative of one-parameter family of distributions
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High School Understanding Complex Numbers: Find the Answer
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Graduate How to Calculate the Integral of the Dirac Delta Function?
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Graduate G. Leoni, Sobolev spaces, Lemma 3.13
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Graduate Visualizing higher dimensional spheres
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Graduate Fourier series for a random function
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Graduate Confusion over Brownian sample paths
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MHB Why x^2/(1+x^2) > u Near Infinity: Explained
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MHB Show that 1/f_n -> 1/f uniformly
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MHB Evaluating the log of an imaginary number
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MHB Showing the modified Dirichlet function is discontinuous
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MHB What can I say about y-uniform continuity
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MHB Is the Limit of an Integrable Function Equal to Its Pointwise Limit?
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MHB Bounded derivative and uniform continuity
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MHB Is Every Function with Equal Lower and Upper Sums Constant?
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Undergrad Why Does My Calculator Show an Error with Tanh of a Complex Number?
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MHB A complex exp-series and related trig-integral
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Graduate Challenge 17: T and other letters
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MHB How can $j^{2}$ and $j^{2312}$ be related in complex number evaluations?
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MHB An abomination of a series.... Can anyone help?
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MHB Complex numbers finding the Imaginary part
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MHB Help Me Solve $\text{Im}(z^3)$ in Rectangular Form
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Graduate Equality of definite integrals, relation between integrands
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Undergrad Understanding the Fresnel Integral/Green's Functions
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Graduate Mathematical falacy. ln(1+x) series exapansion:proving 2=1
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Graduate Does the Fourier Transform Reveal the Magic of Video Segmentation?
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MHB Tricky complex analysis questions....
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Undergrad Complex Numbers: The Phase of a Complex Number
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Graduate Divisors and Riemann-Roch Intuition
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Graduate How measurable function spreads intervals
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MHB Residues - complex analysis confusion.
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MHB Any ideas on Vieta's formula....?
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Graduate Automorphisms of the unit disc is less than 1
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Undergrad What does a fourier transform do?
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Graduate How to understand problems in analysis better.
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MHB Proof Review. A Theorem in Spivak's Book.
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MHB Complicated integration of complex number
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Graduate Possible complex angles with no imaginary periodicity
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Undergrad Quadratic Formula Solutions for Complex Numbers
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MHB How to find the integral of a complex number
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MHB How to use cauchy integral formula
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MHB Contour integral (please check my solution)
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MHB Cauchy.riemann integral theorem or formula
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Graduate An empty ball in arbitrary metric space
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MHB Discussions on the convergence of integrals and series
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Undergrad De moivre's theorem complex number
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Graduate 2D Fourier Transform on a non-rectangular space
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Graduate Continuous Fourier Transform of Vanishing Fast Functions: Explained
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MHB Why Does the Inequality Hold in This Taylor Series Expansion?
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MHB How Do We Derive and Verify the Taylor Series for \(\arctan(x)\)?
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Graduate Learn Fourier Transforms: Books & Applications for QM
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Graduate Computing a Generating Set in Cohomology
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MHB Lip Functions: Partial Derivatives on Ball Br(p)
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MHB Can the Exponential Power Series Be Defined Without a Function?
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MHB Proving that a certain closed interval exists
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Graduate Intuition on "giving a set a topology".
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Undergrad Functional and composite function
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MHB Show that limit of x to 0 of 1/x does not exist
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Graduate Adjointness and Basis Representation
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MHB Proving Cauchy Convergence in Natural Nos: Metrics & Converse
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MHB Why is the series equal to 0,if x=0?
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MHB Complex Integration: Solving $\int_{|z|=1} |z-1|.|dz|$
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MHB Prove Constant: Entire Function f(z)=f(1/z)
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Graduate Circle is a set of a discontinuities?
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Graduate Does L^1 (seminorm) convergence imply a.e. convergence?
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MHB A question on ergodic theory: topological mixing and invariant measures
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MHB Analysis Revisited: 6 Questions & Solutions to Prove Metric Space Properties
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Graduate Sketching Nyquist Plots for Complex Arguments
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Graduate Horribly Confused With Complex Logarithms
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MHB Calculating Residues Using Laurent Series
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MHB How Do I Evaluate the Integral \(\int(z^2+1)^2dz\) Over a Cycloid Path?
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MHB Expand e^{\frac{z}{z-2}} Laurent Series: z=2
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MHB Proving Divergence of Series \sum_{n=1}^{\infty} \frac{1}{n^{1+i}}
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Graduate Can Complex Numbers be Compared Using Greater-Than and Less-Than Relations?
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MHB Proof of tan^(-1z) maclauren series
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Graduate Understanding Disks-and-Bands Surfaces: Genus and Boundary Components
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Graduate Transforming a vector in spherical coordinates
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