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 Parameterizing the 3-sphere with three angles
- pcr
- · Replies 15 ·
Undergrad The Weierstrass function's' odd qualities
- rumborak
- · Replies 4 ·
Undergrad The Set of Positive Integers - a Copy of the Natural Numbers
- Math Amateur
- · Replies 8 ·
Undergrad Contradiction in Bloch's proof of well-ordering for natural numbers
- Math Amateur
- · Replies 3 ·
The Well-Ordering Principle for the Natural Numbers
- Math Amateur
- · Replies 2 ·
Bloch theorem 1.2.9: deriving a < a from a < b and a = b
- Math Amateur
- · Replies 3 ·
Bloch theorem 1.2.7: why G ⊆ ℕ before proving 1 ∈ G?
- Math Amateur
- · Replies 4 ·
Undergrad Properties of 'less than" and "less than or equals"
- Math Amateur
- · Replies 2 ·
Undergrad Addition/Multiplication of Natural Numbers - Bloch Th. 1.2.7
- Math Amateur
- · Replies 4 ·
High School How Does Group Orbit Theory Relate Torus and Cylinder Structures?
- jackferry
- · Replies 2 ·
Undergrad Proving [a,b] and ℝ are not homeomorphic
- davidge
- · Replies 45 ·
Graduate Attaching Möbius strips to a torus by polygon labeling
- dkotschessaa
- · Replies 12 ·
Undergrad Learning formal limit proofs without real analysis
- flamengo
- · Replies 3 ·
How to Avoid Extraneous Solutions in Solving Complex Equations
- Yankel
- · Replies 3 ·
Undergrad Differentiation under the integral in retarded potentials
- DavideGenoa
- · Replies 4 ·
Complex Numbers - from Polar to Algebraic
- Yankel
- · Replies 2 ·
Undergrad How to show that a 4-polytope is a tiling of the 3-sphere
- t_r_theta_phi
- · Replies 4 ·
Undergrad Is the Maximum of a Continuous Function Proven in This Content?
- TomMat
- · Replies 2 ·
Undergrad Solve Scalar Product Problem in Set R of Functions [0,1]
- Gear300
- · Replies 3 ·
Geometric Series with Complex Numbers
- Yankel
- · Replies 3 ·
High School Preferred directions on a torus?
- gerald V
- · Replies 8 ·
Polar Representation of a Complex Number
- Yankel
- · Replies 5 ·
High School Uniqueness of Analytic Functions
- jackferry
- · Replies 16 ·
Undergrad Solving Complex Integral Paths - Real Line Poles
- Silviu
- · Replies 4 ·
Drawing Complex Numbers on a Plane
- Yankel
- · Replies 2 ·
Undergrad The graph of sin inverse (sin x) after the domain of (- pi/2, pi/2)
- esha
- · Replies 5 ·
Undergrad Laplacian of Retarded Potential: How to Derive the Equation Mathematically?
- DavideGenoa
- · Replies 4 ·
Complex Numbers - Number of Solutions
- Lancelot1
- · Replies 3 ·
Complex Numbers - writing in polar form
- srg263
- · Replies 15 ·
Undergrad Closed surfaces and closed curves
- flamengo
- · Replies 2 ·
Undergrad Integration of Legendre Polynomials with different arguments
- Alan Sammarone
- · Replies 1 ·
Undergrad Difference between holomoprhic and analytic functions
- Silviu
- · Replies 19 ·
Undergrad Is it possible to prove that the circle is a manifold using open spheres?
- davidge
- · Replies 29 ·
Undergrad Constant raised to complex numbers
- Mr Real
- · Replies 14 ·
Graduate Half-face traversal on general polyhedra
- Estanho
- · Replies 9 ·
Undergrad Why is the branch cut on ℝ⁺ and not ℝ⁻ for √z?
- Silviu
- · Replies 5 ·
High School Why choose one point over another for a Taylor series expansion
- Silviu
- · Replies 11 ·
Undergrad Understanding Isolated Singularities in the Residue Theorem
- Silviu
- · Replies 7 ·
Undergrad Is the Unit Closed Disk Minus the Origin Homeomorphic to the Unit Circle?
- davidge
- · Replies 17 ·
Undergrad Why is the Jordan curve theorem considered important if it seems obvious?
- Silviu
- · Replies 21 ·
Undergrad Identical zero function in the complex plane
- Silviu
- · Replies 5 ·
Undergrad Limitations of the Lebesgue Integral
- The_eToThe2iPi
- · Replies 15 ·
Solving x - √(x² - x) = √x for real x > 0
- mathdad
- · Replies 10 ·
Undergrad Difference between complex and real analysis
- Silviu
- · Replies 11 ·
Undergrad Why is uniform convergence stronger than pointwise convergence?
- Silviu
- · Replies 5 ·
Undergrad Cauchy's Theorem: Understanding Complex Analysis
- Silviu
- · Replies 7 ·
Undergrad Proof of Harmonic Function Infinitely Differentiable
- Silviu
- · Replies 4 ·
Undergrad Boundary and homeomorphism
- davidge
- · Replies 54 ·
Undergrad Why does the antiderivative formula give the same value for all paths?
- Silviu
- · Replies 2 ·
Power series and uniform convergence.
- MissC
- · Replies 1 ·
Undergrad Solving Ordinal Arithmetic: X Countably Compact but Not Compact
- Gear300
- · Replies 5 ·
Proving expression is always positive
- Carla1985
- · Replies 2 ·
Z²+bz+1=0, where |b|≤2. For which values of b do the following hold?
- Stephen Safee
- · Replies 6 ·
Why do we have fast convergence?
- evinda
- · Replies 3 ·
High School Dimension of subset containing two circles
- RubinLicht
- · Replies 4 ·
High School Stereographic projection and uneven scaling
- Tahmeed
- · Replies 1 ·
Undergrad Mapping double cover over a torus
- aheight
- · Replies 5 ·
Graduate Dirac Delta and Residue Calculus
- Daniel Gallimore
- · Replies 3 ·
Sine fourier series with period 1
- evinda
- · Replies 6 ·
High School How Does the Unit Circle Relate to Euler's Formula in Complex Numbers?
- MikeSv
- · Replies 10 ·
Undergrad Do these manifolds have a boundary?
- davidge
- · Replies 26 ·
Cosine Fourier series for piecewise function with period 4
- evinda
- · Replies 16 ·
High School Isn't the Riemann Hypothesis just a convention?
- mustang19
- · Replies 25 ·
How to prove such value for a derivative?
- FallArk
- · Replies 9 ·
Undergrad Proving Urysohn's Lemma: Normal vs Perfectly Normal Spaces
- Gear300
- · Replies 3 ·
Undergrad Is a game situation in chess topologically invariant?
- moriheru
- · Replies 4 ·
Undergrad Dimension using box counting technique
- transmini
- · Replies 3 ·
How Does Sobolev Space Boundedness Relate to Different Norms in $R^n$?
- Danny2
- · Replies 4 ·
Need help, are these functions differentiable?
- FallArk
- · Replies 4 ·
Undergrad Why doesn't √-1×√-1 always equal 1 in complex numbers?
- Gourav kumar Lakhera
- · Replies 3 ·
Graduate Homology groups with points identified
- dkotschessaa
- · Replies 21 ·
Does the ratio test work for the sum of n^10/2^n?
- Confusedalways
- · Replies 2 ·
Undergrad Can Complex Numbers Be Ordered?
- Arman777
- · Replies 6 ·
Undergrad Why does ln(-1) = πi equal πe^(iπ/2) in polar form?
- rabualeez
- · Replies 1 ·
High School Why does sup|Pn(x) - f(x)| < ε imply uniform approximation?
- feerrr
- · Replies 5 ·
Prove: f(x) = 0 has infinitely many solutions
- lfdahl
- · Replies 2 ·
Direct proof for an integral and epsilon argument
- joypav
- · Replies 12 ·
Finding real solutions to x - √(x² - x) = √x for x > 0
- mathdad
- · Replies 2 ·
Real Analysis - Prove the Riemann Integral Converges
- joypav
- · Replies 7 ·
Undergrad Wrong proofs of Riemann hypothesis
- Silviu
- · Replies 1 ·
The parameter λ in linear integral equations
- sarrah1
- · Replies 2 ·
Real Analysis - Riemann Integral Proof
- joypav
- · Replies 4 ·
Proving Limits: How to Show x^x Approaches Infinity as x Approaches Infinity?
- FallArk
- · Replies 4 ·
Undergrad How to Prove the Partial Fraction Formula for Distinct Complex Numbers?
- jostpuur
- · Replies 2 ·
How Do You Find the Limit of (e^x - 1) / Sin(x) as x Approaches 0?
- FallArk
- · Replies 3 ·
Graduate A pasting lemma counterexample (of sorts)
- dkotschessaa
- · Replies 9 ·
Undergrad Definition of the root of -1 for different roots
- Mr Davis 97
- · Replies 8 ·
Undergrad Why homotopic loops can't exist around a hole in an annulus
- Silviu
- · Replies 7 ·
Graduate When is x^(-1)(C_1+C_2 ln x) in L^2(0,1)?
- LagrangeEuler
- · Replies 6 ·
Graduate What Conditions Determine a Zero Measure Set in Fourier Transforms?
- mnb96
- · Replies 8 ·
Undergrad Proving Injectivity and Surjectivity: A Fundamental Concept in Function Theory
- tlkieu
- · Replies 2 ·
Undergrad What does the notation {U_α | α ∈ I} mean in topology?
- Silviu
- · Replies 4 ·
Undergrad Is there an on-line table of genus of algebraic functions?
- aheight
- · Replies 2 ·
Undergrad How does the angle γ change under inversion in Euler angles?
- ftft
- · Replies 2 ·
Undergrad Why does the boundary formula give empty set for (a,b)?
- Silviu
- · Replies 4 ·
Graduate What defines a large gauge transformation, really?
- jakob1111
- · Replies 1 ·
Undergrad Difference between tensor and vector?
- Vitani11
- · Replies 2 ·
Undergrad Difference Analysis and Calculus
- ItsTheSebbe
- · Replies 5 ·
Undergrad What Does 'Canonical' Mean in a Mathematical Context?
- Flubertin
- · Replies 3 ·
What is [2x] Notation? Continuity Question
- FallArk
- · Replies 3 ·