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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Graduate Is Isometry the Same as Isomorphism?
- ericm1234
- · Replies 9 ·
Undergrad Proof that the world is not flat
- Whitehole
- · Replies 73 ·
If $\sum \frac{y_n}{1+y_n}$ converges, does $\sum y_n$ converge?
- evinda
- · Replies 1 ·
Prove $(y_n)$ Converges to a Real Number Given $|y_{n+1}-y_n| \leq 2^{-n}$
- evinda
- · Replies 6 ·
Insights Complex and Irrational Exponents for the Layman - Comments
- Isaac0427
- · Replies 5 ·
Graduate Can an n-dimensional object fit entirely in n-1 dimensions?
- Einstein's Cat
- · Replies 2 ·
How can we show the existance of a ε?
- mathmari
- · Replies 2 ·
Graduate Proof that log2(i) is rational but I think it is wrong
- The UPC P
- · Replies 5 ·
Graduate Can Penrose Stairs Be Realized on a Torus?
- mma
- · Replies 18 ·
Undergrad What is the Argument Principle in Complex Analysis?
- Bruno Tolentino
- · Replies 4 ·
Graduate Gravity on a 1-D torus: does the infinite sum of images simplify?
- ArielGenesis
- · Replies 7 ·
Sigma-additive measure, contraction mapping, and shift operator questions
- simpleton1
- · Replies 5 ·
What is a Semigroup and How Does it Relate to Immeasurable Sets?
- simpleton1
- · Replies 13 ·
Graduate How to Glue the Hyperbolic Plane to Form Klein's Quartic?
- Lapidus
- · Replies 6 ·
Graduate Need some kind of convergence theorem for integrals taken over sequences of sets
- benorin
- · Replies 1 ·
Graduate Is "Kirby's Problem List" fairly familiar to Knot Theorists?
- dkotschessaa
- · Replies 3 ·
Graduate Where does the integral identity for v² and Δφ come from?
- Brian T
- · Replies 3 ·
Insights Things Which Can Go Wrong with Complex Numbers - Comments
- micromass
- · Replies 3 ·
Graduate Why does the real affine plane definition isolate vertical and non-trivial lines?
- tgt
- · Replies 2 ·
Graduate Using complex description of div and curl in 2d?
- Mappe
- · Replies 1 ·
Undergrad What is the meaning of ph(z) in complex numbers?
- Fellowroot
- · Replies 2 ·
Graduate Does anybody know an introduction to Lie Algebra Bundles
- fresh_42
- · Replies 0 ·
Graduate Finding Residue of Complex Function at Infinity
- MartinKitty
- · Replies 3 ·
Residue theorem for ∮ dz/(z(2z+1)) on unit circle
- ognik
- · Replies 5 ·
Simplifying z^5 where z = e^(2-iπ/4)
- Guest2
- · Replies 2 ·
What is the ratio of complex numbers in the form of a question?
- Guest2
- · Replies 4 ·
Quickest way to calculate argument of a complex number
- Guest2
- · Replies 3 ·
Undergrad Factoring out i from exponents in complex calculations
- Euler2718
- · Replies 8 ·
Contour integral of e^(iz)/z^3 around a square
- ognik
- · Replies 2 ·
Prove: $(\sin \theta+ i \cos \theta)^8 = \cos 8\theta - i \sin 8\theta$
- kaliprasad
- · Replies 4 ·
Graduate Proving Euler's formula from geometric definitions of sin and cos
- Astudious
- · Replies 15 ·
Graduate What is the relationship between Pi and curvature on different surfaces?
- DaveC426913
- · Replies 21 ·
An expression resembling Laguerre
- sarrah1
- · Replies 2 ·
Undergrad Graph isomorphism problem-advance in complexity research
- marcus
- · Replies 0 ·
Is the Set K Convex and Does It Attain Its Euclidean Distance?
- evinda
- · Replies 1 ·
Properties of Metric $\sigma(x,y)$
- evinda
- · Replies 5 ·
The distance is attained by a unique point
- evinda
- · Replies 5 ·
Graduate An automorphism in a Banach space
- Calabi
- · Replies 21 ·
Graduate Lipschitz perturbations and Hammerstein integral equations
- S.G. Janssens
- · Replies 1 ·
Undergrad Better definition for complex number
- Bruno Tolentino
- · Replies 41 ·
Is the radius of convergence 1 or 1/2?
- lucad93
- · Replies 1 ·
Why does the equality hold for a symmetric matrix $A$ with $A = A^{T}$?
- evinda
- · Replies 2 ·
Is the Lorenz attractor a fractal set and what is its topological dimension?
- dingo
- · Replies 1 ·
Graduate Using Munkres topology to understand knot theory from Adams
- dkotschessaa
- · Replies 11 ·
Graduate Overcoming Abstraction in Mathematics
- Avatrin
- · Replies 8 ·
Rieman inversion formula in Laplace transform
- lucad93
- · Replies 1 ·
Graduate Do Cauchy sequences always converge?
- Calabi
- · Replies 23 ·
Undergrad What is different between "holds" and "holds true"?
- bacte2013
- · Replies 5 ·
Graduate The union of any collection of closed sets is closed?
- rhino1000
- · Replies 7 ·
Proving the Limit of x^n as x Approaches a Using Epsilon-Delta Definition
- Guest2
- · Replies 7 ·
How does ${X}_{w}\subset {X^*}_{w}$ occur in modular metric space?
- ozkan12
- · Replies 6 ·
Graduate References for Self Study in de Rham Cohomology
- MissMoneypenny
- · Replies 2 ·
How Do Different Metrics Affect Convergence and Divergence of Sequences?
- ozkan12
- · Replies 4 ·
Graduate Why is a branched line in R2 not a topological manifold?
- CSteiner
- · Replies 9 ·
Graduate Complex Analysis: Conformal Mappings
- JulieK
- · Replies 3 ·
Undergrad Why does the metric split into holomorphic and antiholomorphic terms on complex manifolds?
- Emilie.Jung
- · Replies 3 ·
Graduate Are Green's functions generally symmetric?
- ShayanJ
- · Replies 3 ·
Graduate Hypergeometic function. Questions.
- LagrangeEuler
- · Replies 1 ·
Good book recommendation on number systems.
- Ackbach
- · Replies 5 ·
Graduate Prove A~B=>f(A)~f(B) for a continuous f:X->Y
- BiGyElLoWhAt
- · Replies 48 ·
Limit of Absolute Values and Metric Spaces
- ozkan12
- · Replies 2 ·
Is Every Sequence with a Cauchy Subsequence Also Cauchy?
- ozkan12
- · Replies 5 ·
Graduate Is There a Flaw in the Symmetry Proof for Homology Classes?
- BiGyElLoWhAt
- · Replies 3 ·
Understanding L^p Spaces: Origins and Applications
- E01
- · Replies 2 ·
Graduate Why is ##\frac{1}{\sqrt{z}}## a branch point and ##\frac{1}{z}## a pole?
- LagrangeEuler
- · Replies 2 ·
Graduate Understanding Complex Exponential Summation: How is the Arctan Function Used?
- wirefree
- · Replies 2 ·
Graduate Motivation for geometrical representation of Complex numbers
- Vinay080
- · Replies 7 ·
Undergrad How to Solve Equations with Complex Numbers
- cdummie
- · Replies 9 ·
Undergrad Logic behind normal line in expressing plane
- feryee
- · Replies 10 ·
Graduate Sequence is norm convergent implies it's strongly convergent
- Chain
- · Replies 4 ·
Showing Completeness of Metric Spaces: Examples
- evinda
- · Replies 1 ·
Undergrad Why is the set of natural numbers closed?
- Parag Kulkarni
- · Replies 8 ·
Graduate Proving the Fundamental Group of SO(2) is Z: How Can it Be Done Explicitly?
- Davidedomande
- · Replies 5 ·
Software for calculating eigenvalues and eigenfunctions of an integral operator
- sarrah1
- · Replies 1 ·
Graduate Fourier transform of function which has only radial dependence
- LagrangeEuler
- · Replies 7 ·
Do Commuting Linear Integral Operators Share Eigenfunctions and Eigenvalues?
- sarrah1
- · Replies 1 ·
Undergrad Resources For Real Analysis and Concepts of Mathmatics
- infinite.curve
- · Replies 7 ·
To prove that Cauchy sequence
- ozkan12
- · Replies 2 ·
Limits of x* when n and m Approach Infinity
- ozkan12
- · Replies 2 ·
How Can I Calculate the Norm of the Operator \(I-L^{-1}K\)?
- sarrah1
- · Replies 4 ·
Triangle Inequality and Convergence of ${y}_{n}$
- ozkan12
- · Replies 4 ·
Graduate What is the relation between unitary group, homotopy?
- PRB147
- · Replies 7 ·
Can We Say "${y}_{n}=T{y}_{n-1}" in a Complete Metric Space?
- ozkan12
- · Replies 1 ·
Undergrad Why do we need the set of complex numbers to solve?
- astrololo
- · Replies 43 ·
Understanding Picard Iteration: What Does ${f}^{n}x \subseteq {f}^{n+1}x$ Mean?
- ozkan12
- · Replies 2 ·
Graduate Complete set of multi-variable functions
- ShayanJ
- · Replies 3 ·
Graduate Proving Isomorphism of Linear Operator with ||A|| < 1
- Jaggis
- · Replies 6 ·
Graduate What Is Conformal Mapping in Complex Analysis?
- PhysicsKid0123
- · Replies 6 ·
Find Continuous Functions Subject to an Integral Condition
- evinda
- · Replies 1 ·
Graduate Unbounded operator and expansion of commutator
- ShayanJ
- · Replies 19 ·
Greens Function for Hemmholtz using Fourier
- ognik
- · Replies 1 ·
How do we find A0 in Fourier series for f(x)=x?
- ognik
- · Replies 5 ·
Greens function for the Helmholtz equation with Fourier transforms
- ognik
- · Replies 1 ·
Undergrad Analysis and how to solve things (methods)
- gillouche
- · Replies 4 ·
Undergrad Quantity of Vertices, Edges, Etc In Higher Dimensional Cubes
- Richard Craig
- · Replies 2 ·
What is the complex number C for the transformation T?
- avyunker
- · Replies 1 ·
Graduate How to make a 2-sphere in 4 dimensions
- jk22
- · Replies 21 ·
Graduate How can we parameterize the cycloid traced by a rolling circle?
- mathmari
- · Replies 11 ·
Find a parametrization of the following level curves
- evinda
- · Replies 33 ·
Graduate Complex integral for z-transform causality
- thegreenlaser
- · Replies 4 ·