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.
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Undergrad Metrics on the plane and the sphere
- gianeshwar
- · Replies 6 ·
Undergrad What are some open problems that would make a good honors thesis.
- Silvers931
- · Replies 5 ·
Laurent series of 1/(z³-z⁴) around z=0 for 0<|z|<1
- aruwin
- · Replies 1 ·
What Are the Singularity and Residue of \( \frac{e^{z^2}}{(z-i)^3} \)?
- aruwin
- · Replies 4 ·
Maclaurin series expansion and radius of convergence for 2z/(1-z)^2
- aruwin
- · Replies 4 ·
Graduate Why does A = {p ∈ Q⁺ : p² < 2} have no supremum in Q?
- res3210
- · Replies 1 ·
Undergrad Open And Closed Discs - What's The Difference?
- BOAS
- · Replies 1 ·
How Can Pi Be Represented as a Continued Fraction?
- Math Amateur
- · Replies 11 ·
How can I find the center and radius of a circle from two different equations?
- aruwin
- · Replies 3 ·
Drawing vectors according to the phase
- aruwin
- · Replies 1 ·
Undergrad What do the complex factors of a polynomial over C show about its graph?
- noahsdev
- · Replies 2 ·
Graduate Proper Orthogonal Decomposition?
- member 428835
- · Replies 5 ·
How does theta transform into theta minus pi/2 in complex numbers?
- aruwin
- · Replies 10 ·
Power Flow Calculation for Generator Node: Understanding Different Results
- aruwin
- · Replies 1 ·
How do I evaluate the contour integral for $f'(z)/f(z)$ around $|z|=4$?
- Fermat1
- · Replies 6 ·
Graduate Is Complex Multiplication Always Equal to Zero?
- seminum
- · Replies 18 ·
Why must R > 2 for the residue theorem on ∫1/(x²+4)² dx?
- aruwin
- · Replies 4 ·
Integration using residue theorem
- aruwin
- · Replies 5 ·
Graduate Complex solution to cos x = 2?
- johann1301
- · Replies 3 ·
Series Divergence: Prove $\frac{a^n}{n^23^n}$ Diverges
- Fermat1
- · Replies 4 ·
Why Does Choosing z=1/n Demonstrate Non-Uniform Convergence?
- Fermat1
- · Replies 3 ·
Natural log of a complex number.
- Drain Brain
- · Replies 4 ·
Finding roots of a complex number
- Drain Brain
- · Replies 8 ·
Graduate Integral x^n *f(x) dx =0 ; f for all n, f in C[0,1], then f(x)=0
- WWGD
- · Replies 4 ·
Graduate Restriction of Isotopy is an Isotopy
- WWGD
- · Replies 6 ·
Is the complex logarithm analytic on 1<|z|<2 with derivative 1/z?
- Fermat1
- · Replies 10 ·
Graduate Mapping Class Group of Contractible Spaces
- WWGD
- · Replies 11 ·
Winding number of a contour from -√3+i to -√3-i
- Fermat1
- · Replies 13 ·
How can I express f(z) in terms of z using exponentials?
- aruwin
- · Replies 2 ·
Graduate Rigorous Definition of Infinitesimal Projection Operator?
- Cruikshank
- · Replies 2 ·
How Can I Simplify Real Integration Calculations?
- aruwin
- · Replies 13 ·
Therefore, $\sinh{(4-j3)} = \cos{(3)}\sinh{(4)} - \mathrm{i}\sin{(3)}\cosh{(4)}$
- paulmdrdo1
- · Replies 6 ·
Graduate Distributional derivative of one-parameter family of distributions
- Only a Mirage
- · Replies 1 ·
High School Understanding Complex Numbers: Find the Answer
- kay
- · Replies 6 ·
Graduate How to Calculate the Integral of the Dirac Delta Function?
- LagrangeEuler
- · Replies 14 ·
Graduate G. Leoni, Sobolev spaces, Lemma 3.13
- jostpuur
- · Replies 3 ·
Graduate Visualizing higher dimensional spheres
- Hornbein
- · Replies 2 ·
Graduate Fourier series for a random function
- sukharef
- · Replies 2 ·
Graduate Confusion over Brownian sample paths
- nomadreid
- · Replies 2 ·
Why does x²/(1+x²) > u for all u < 1 near infinity?
- evinda
- · Replies 9 ·
Show that 1/f_n -> 1/f uniformly
- evinda
- · Replies 9 ·
Evaluating the log of an imaginary number
- burgess
- · Replies 7 ·
Showing the modified Dirichlet function is discontinuous
- Usagi
- · Replies 1 ·
What can I say about y-uniform continuity
- evinda
- · Replies 1 ·
Is the Limit of an Integrable Function Equal to Its Pointwise Limit?
- evinda
- · Replies 5 ·
Bounded derivative and uniform continuity
- Kudasai
- · Replies 1 ·
Is Every Function with Equal Lower and Upper Sums Constant?
- evinda
- · Replies 3 ·
Undergrad Why Does My Calculator Show an Error with Tanh of a Complex Number?
- trustnoone
- · Replies 6 ·
A complex exp-series and related trig-integral
- DreamWeaver
- · Replies 3 ·
Graduate Uncountably many disjoint topological copies of letters in ℝ² and ℝ³
- micromass
- · Replies 15 ·
How can $j^{2}$ and $j^{2312}$ be related in complex number evaluations?
- Drain Brain
- · Replies 2 ·
Laplace transform of the second order Clausen function
- DreamWeaver
- · Replies 12 ·
Complex numbers finding the Imaginary part
- Drain Brain
- · Replies 7 ·
Finding Im(z³) in rectangular form
- Drain Brain
- · Replies 4 ·
Graduate Equality of definite integrals, relation between integrands
- epr1990
- · Replies 1 ·
Undergrad Fresnel integrals and Green's functions for beginners
- 159753x
- · Replies 2 ·
Graduate Mathematical falacy. ln(1+x) series exapansion:proving 2=1
- harryjobs
- · Replies 12 ·
Graduate Why does Fourier phase spectrum enhance moving objects in video segmentation?
- ramdas
- · Replies 2 ·
Combining functions with poles and classifying poles of (cot z + cos z)/sin 2z
- Zukias
- · Replies 3 ·
Undergrad Complex Numbers: The Phase of a Complex Number
- pamparana
- · Replies 2 ·
Graduate Divisors and Riemann-Roch Intuition
- bolbteppa
- · Replies 3 ·
Graduate How measurable function spreads intervals
- jostpuur
- · Replies 10 ·
Residues - complex analysis confusion.
- Zukias
- · Replies 7 ·
Elementary proof of Vieta's formula for 2/π
- DreamWeaver
- · Replies 4 ·
Graduate Automorphisms of the unit disc is less than 1
- Likemath2014
- · Replies 2 ·
Undergrad What does a fourier transform do?
- member 428835
- · Replies 18 ·
Graduate How to understand problems in analysis better.
- bobby2k
- · Replies 4 ·
Proof Review. A Theorem in Spivak's Book.
- caffeinemachine
- · Replies 6 ·
Using Cauchy integral formula vs residues for poles inside contours
- aruwin
- · Replies 11 ·
Graduate Possible complex angles with no imaginary periodicity
- Some_dude91
- · Replies 1 ·
Undergrad Do the quadratic formula solutions work when coefficients are complex?
- Jhenrique
- · Replies 12 ·
How to find the integral of a complex number
- aruwin
- · Replies 1 ·
How to use cauchy integral formula
- aruwin
- · Replies 4 ·
Contour integral along a complex arc
- aruwin
- · Replies 4 ·
Cauchy-Riemann integral theorem or formula?
- aruwin
- · Replies 8 ·
Graduate An empty ball in arbitrary metric space
- xiavatar
- · Replies 1 ·
Discussions on the convergence of integrals and series
- alyafey22
- · Replies 23 ·
Undergrad De moivre's theorem complex number
- kelvin macks
- · Replies 3 ·
Graduate 2D Fourier Transform on a non-rectangular space
- tanus5
- · Replies 1 ·
Graduate Is the Fourier transform of a fast-vanishing function continuous?
- Delta2
- · Replies 4 ·
Why Does the Inequality Hold in This Taylor Series Expansion?
- evinda
- · Replies 9 ·
How Do We Derive and Verify the Taylor Series for \(\arctan(x)\)?
- evinda
- · Replies 1 ·
Graduate Books on Fourier transforms with visual intuition for quantum mechanics
- kashokjayaram
- · Replies 8 ·
Graduate Computing a Generating Set in Cohomology
- WWGD
- · Replies 4 ·
Lip Functions: Partial Derivatives on Ball Br(p)
- onie mti
- · Replies 1 ·
Can the Exponential Power Series Be Defined Without a Function?
- evinda
- · Replies 2 ·
Proving that a certain closed interval exists
- Usagi
- · Replies 6 ·
Graduate Intuition on "giving a set a topology".
- center o bass
- · Replies 7 ·
Undergrad Functional and composite function
- Jhenrique
- · Replies 1 ·
Show that limit of x to 0 of 1/x does not exist
- Usagi
- · Replies 5 ·
Graduate Adjointness and Basis Representation
- WWGD
- · Replies 1 ·
Cauchy sequences in the natural numbers with what metric?
- solakis1
- · Replies 6 ·
Why is the series equal to 0,if x=0?
- evinda
- · Replies 18 ·
Complex Integration: Solving $\int_{|z|=1} |z-1|.|dz|$
- Amer
- · Replies 2 ·
Prove Constant: Entire Function f(z)=f(1/z)
- Amer
- · Replies 6 ·
Graduate Circle is a set of a discontinuities?
- chipotleaway
- · Replies 5 ·
Graduate Does L^1 (seminorm) convergence imply a.e. convergence?
- Fredrik
- · Replies 21 ·
A question on ergodic theory: topological mixing and invariant measures
- Alex V
- · Replies 1 ·
Metric space problems: distance functions, bounded sets, total boundedness
- Krizalid1
- · Replies 1 ·