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.
Sub-forums
Threads
Proving Continuity at a Point with Non-Zero Value: A Case Study
- FallArk
- · Replies 4 ·
Has anybody seen this looks kind double Mittag-Leffler
- sarrah1
- · Replies 1 ·
Undergrad For direct proof, how do you choose M for bounded sequence?
- mikeyBoy83
- · Replies 12 ·
Undergrad Understanding Dedekind Cuts: How to Recognize a Cut
- mikeyBoy83
- · Replies 2 ·
Why is the solution to the Volterra integral equation written as a power series?
- sarrah1
- · Replies 2 ·
Undergrad Product of complex conjugate functions with infinite sums
- Adolfo Scheidt
- · Replies 4 ·
Undergrad Deformation of contour of integration or shifting poles
- Frank Castle
- · Replies 2 ·
Do these integrals converge: $e^{-x}\log(1+x)$ and $\sqrt{x}\cos(x^2)$?
- mathmari
- · Replies 11 ·
How Do We Determine the Convergence of These Complex Integrals?
- mathmari
- · Replies 2 ·
Laplace transform of a series in time t
- sarrah1
- · Replies 1 ·
Undergrad Can 2D Vector Subspaces Form 3D Surfaces and How to Find Their Intersection?
- rabbed
- · Replies 16 ·
Why does the set in Ross' completeness axiom example lack a minimum?
- Joppy
- · Replies 2 ·
Graduate Implicit function parameterization
- rabbed
- · Replies 16 ·
Finding Taylor Polynomial for tan(x) - Wondering
- mathmari
- · Replies 32 ·
Undergrad Do accumulation points exist for the sequence (-1)^n?
- TheChemist_
- · Replies 11 ·
High School How Is Data Specifically Defined in Algebraic Topology?
- dkotschessaa
- · Replies 8 ·
Undergrad Interior and closure in non-Euclidean topology
- tomkoolen
- · Replies 3 ·
Undergrad Product topology equals maximum metric topology on X × Y
- tomkoolen
- · Replies 9 ·
Undergrad What Defines a Piecewise Smooth Function?
- Jehannum
- · Replies 2 ·
Is it possible to write this expression in the form $a+bi$?
- Karpthulu912
- · Replies 1 ·
High School Why does √(-4)·√(-4) = √16 give the wrong answer?
- Arman777
- · Replies 5 ·
Express Product In The Form a + bi
- Karpthulu912
- · Replies 4 ·
What is the derivative of the given function at all points where it exists?
- mathmari
- · Replies 4 ·
Graduate How to compute limit of removable singularity?
- aheight
- · Replies 7 ·
Undergrad Metrics which generate topologies
- Lucas SV
- · Replies 5 ·
Find x and y if x, y are members of real numbers and: (x+i)(3-iy)=1+13i
- Gladier
- · Replies 1 ·
Prove or disaprove the statements
- mathmari
- · Replies 13 ·
Undergrad Create algebraic function with finite power expansions?
- aheight
- · Replies 2 ·
How could we show that D is bounded and closed?
- mathmari
- · Replies 4 ·
Undergrad Constructing dimensions out of a graph structure?
- FlorianDietz
- · Replies 5 ·
Undergrad Dense orbit and fixed point question
- Zafa Pi
- · Replies 16 ·
Undergrad Simply-connected, complex, simple Lie groups
- Rasalhague
- · Replies 3 ·
Undergrad Do Dedekind cuts fill the gaps in the rational number line?
- FallenApple
- · Replies 5 ·
Undergrad Does analysis form a bridge to geometry?
- FallenApple
- · Replies 14 ·
Finding Radius of Convergence for Series: n/2^n and 1/(4+(-1)^n)^3n
- mathmari
- · Replies 3 ·
Undergrad Why does the conjugate property of the Fourier transform give different results?
- arpon
- · Replies 7 ·
Undergrad Etymology of "regular" and "normal" spaces
- dkotschessaa
- · Replies 6 ·
Undergrad Which Munkres Topology chapters are essential for physics?
- cpsinkule
- · Replies 5 ·
Graduate Handlebody and Knot composed of polygons
- GEOPHILE2
- · Replies 2 ·
Undergrad What do I need to know to understand Uniform convergence?
- MAGNIBORO
- · Replies 8 ·
Graduate Fundamental and Homology groups of Polygons
- dkotschessaa
- · Replies 15 ·
Graduate Laplacian cylindrical coordinates
- LagrangeEuler
- · Replies 2 ·
Non-constant polynomial with positive coefficients where p(x²)−p(x) is decreasing
- karseme
- · Replies 3 ·
Real Solutions of 4cos(e^x) = 2^x+2^-x: ln(2pi) < log2(2+sqrt3) < ln(3pi)
- juantheron
- · Replies 1 ·
Undergrad Domain of single-valued logarithm of complex number z
- goodphy
- · Replies 2 ·
Undergrad Prove -- The product of two compact spaces is compact
- TeethWhitener
- · Replies 6 ·
Undergrad Proof check: S in C Compact implies S is closed and bounded
- zellwwf
- · Replies 1 ·
Undergrad How can I prove that a sequence converges to a limit for every epsilon?
- FallenApple
- · Replies 4 ·
Graduate Fourier transform and translational invariance
- ShayanJ
- · Replies 4 ·
Limit of Sequence: Proving $b_0\in L(a_n)$ and Convergence Condition
- mathmari
- · Replies 3 ·
Are These Limit Points, Limsup, and Liminf Correct for These Sequences?
- mathmari
- · Replies 4 ·
Graduate Ortogonality of two variable functions
- LagrangeEuler
- · Replies 3 ·
Graduate Complex conjugation in inner product space?
- ATY
- · Replies 2 ·
Undergrad N-spherical coordinate angle intervals
- TubbaBlubba
- · Replies 5 ·
Equation involving the inverse tangent function
- karseme
- · Replies 2 ·
Undergrad Complex Analysis Harmonic functions
- Alvis
- · Replies 3 ·
Prove that f(x)=cos(narccos(x)) is polynomial
- karseme
- · Replies 4 ·
Are These Statements Equivalent to the Negation of a Bounded Sequence?
- Mathick
- · Replies 3 ·
Undergrad What is the relationship between dot products and orthogonality of functions?
- LLT71
- · Replies 16 ·
Graduate What Is the Correct Laurent Series for Cosine Functions with Inverse Arguments?
- Mantella
- · Replies 8 ·
High School Uses of complex multiplication?
- Prem1998
- · Replies 21 ·
Undergrad Limit of a product with bounded function
- Austin Chang
- · Replies 5 ·
High School Inequalities of complex number
- Einstein's Cat
- · Replies 6 ·
Graduate Proof of expansion of a certain value
- dimitri151
- · Replies 2 ·
Prove that Q is not a finite set
- issacnewton
- · Replies 2 ·
Undergrad Sketching Complex Numbers in the Complex Plane
- MickeyBlue
- · Replies 5 ·
How to Evaluate the Integral of z(z+1)cosh(1/z) Over a Unit Circle?
- brunette15
- · Replies 2 ·
Insights How to self study analysis. Part I: Intro analysis - Comments
- micromass
- · Replies 26 ·
Undergrad Equivalence of two complex expressions
- TheCanadian
- · Replies 3 ·
High School The rubber sheet analogy in Relativity
- geordief
- · Replies 4 ·
Is the Supremum of the Sum of Two Sets Equal to the Sum of their Suprema?
- alexmahone
- · Replies 1 ·
How do I complete this convergence proof?
- alexmahone
- · Replies 1 ·
Use the formal definition to prove that the following sequence diverges
- alexmahone
- · Replies 1 ·
Undergrad Drawing a Continuous Symmetrical Grid on a Sphere's surface
- greswd
- · Replies 12 ·
Undergrad Can a CW complex exist without being a Hausdorff space?
- viniciuslbo
- · Replies 6 ·
High School Intersecting Bivariate Functions: Is x=a the Only Point of Intersection?
- Saracen Rue
- · Replies 2 ·
Undergrad Factoring a complex polynomial
- TheCanadian
- · Replies 1 ·
Graduate Learning peak deconvolution from basics
- Sheng2016
- · Replies 4 ·
Undergrad What is the conjugate of (A+iB)exp(C+iD)?
- henry wang
- · Replies 1 ·
Graduate Can a Sphere Transform into a Donut?
- Dopamine
- · Replies 16 ·
Square metric not satisfying the SAS postulate
- pholee95
- · Replies 3 ·
Extreme points of L^p[0,1] on unit closed ball
- Kokuhaku
- · Replies 2 ·
Undergrad Trying to understand the mistake in my logical reasoning
- issacnewton
- · Replies 12 ·
Operator form of integro-differential equation
- sarrah1
- · Replies 2 ·
Solving z^6=i for arguments between 90 and 180 degrees.
- woof123
- · Replies 2 ·
Undergrad Completeness Property (and Monotone Sequence)
- KT KIM
- · Replies 4 ·
Understanding Complex Number Math: |iz^2|
- sweeper
- · Replies 2 ·
Test for Cauchy sequence (with limsup and log)
- Kokuhaku
- · Replies 5 ·
Graduate What are the bounds of a ratio with a given set of numbers and variables?
- iScience
- · Replies 9 ·
Undergrad Normed Vector Spaces and Topological Vector Spaces
- Bashyboy
- · Replies 9 ·
How Do You Solve These Complex Logarithmic and Polynomial Equations?
- Darken1
- · Replies 3 ·
Locus of Line Segment Mid Point Intercept Real/Imaginary Axis
- juantheron
- · Replies 3 ·
Undergrad Complex sigmoid function in standard form m+ni
- NotASmurf
- · Replies 10 ·
Undergrad Does Continuity of F Affect the Maximal Solution Theorem?
- Calabi
- · Replies 1 ·
About showing a function : not unbounded on B
- bw0young0math
- · Replies 4 ·
High School What is the Error in Calculating (e^(iπ))^i?
- Anonymous Vegetable
- · Replies 14 ·
Undergrad Isolating a complex-valued variable
- TheCanadian
- · Replies 2 ·
Undergrad Magnetic field by infinite wire: convergence of integral
- DavideGenoa
- · Replies 2 ·
Undergrad Limits of multivariable functions (uniform convergence)
- JulienB
- · Replies 7 ·
Solve Fourier Transform: f(t)=sin(2πt)/t
- lucad93
- · Replies 2 ·