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 Solving Polynomials with Complex Coefficients
- ||spoon||
- · Replies 4 ·
Graduate How do i find k in the banach fixed point theorem
- sara_87
- · Replies 5 ·
Graduate What Does the Banach Fixed Point Theorem Mean?
- sara_87
- · Replies 3 ·
Undergrad Why does sqrt(-1) = (-1)^(1/2) = ... = 1 look correct?
- Diffy
- · Replies 6 ·
Graduate Can topology be taught before rigorous calculus?
- rudinreader
- · Replies 3 ·
Graduate Are All Filters Both Finer and Coarser Than Themselves?
- Saketh
- · Replies 1 ·
Graduate Identify an advanced point-set topology textbook from 1966-1975
- mathboy
- · Replies 4 ·
Graduate Can 0^(ia) Have a Definite Solution for Positive Real a?
- intangible
- · Replies 2 ·
Graduate Reading multiple books simultaneously on the same subject
- mathboy
- · Replies 2 ·
Graduate How Can I Prove These Topology Statements?
- rolylane
- · Replies 5 ·
Undergrad Straight lines and complex numbers
- saiaspire
- · Replies 2 ·
Graduate Banach Spaces vs. Closed Spaces: What's the Difference?
- hooker27
- · Replies 6 ·
Undergrad Recommend a good book on complex analysis?
- wildman
- · Replies 11 ·
Graduate Betti numbers and euler characterstic?
- Coolphreak
- · Replies 1 ·
Graduate Rigorization of analysis and calculus in the 19th century and since
- titaniumx3
- · Replies 5 ·
Graduate Calculating Homology Groups of RP(2)
- Sephi
- · Replies 2 ·
Graduate Limit in closure, topology stuff
- jostpuur
- · Replies 13 ·
Graduate Topology Question (Normal Spaces)
- BSMSMSTMSPHD
- · Replies 1 ·
Graduate Is this proof that C is compact in X when C is compact in F correct?
- shapiro478
- · Replies 12 ·
Undergrad So the question would be:What is the difference between absolute value and norm?
- lampshade
- · Replies 9 ·
Graduate Is U-A Open and A-U Closed in Topological Spaces?
- MathematicalPhysicist
- · Replies 2 ·
Graduate Is every component of a product of Hausdorff spaces also Hausdorff?
- mathboy
- · Replies 9 ·
Graduate How Do Riemann and Lebesgue Integrals Compare in Integration Theory?
- quasar987
- · Replies 39 ·
Graduate What is the dimension of a topological space?
- princeton118
- · Replies 7 ·
Graduate Using Liouville's Theorem to Show f is Constant
- smoothman
- · Replies 2 ·
Graduate Proving Equality of Subspace Topologies: A Topological Lemma Approach
- MathematicalPhysicist
- · Replies 6 ·
Graduate Is a Function with Two Non-Commutative Periods Necessarily Constant?
- Office_Shredder
- · Replies 8 ·
Graduate Unique Partition of Evenly Covered Sets in Algebraic Topology
- JasonRox
- · Replies 8 ·
Undergrad Why are there two square roots of -1 in complex numbers?
- Zorodius
- · Replies 11 ·
Graduate Surjectivity of Induced Homomorphism in Algebraic Topology
- JasonRox
- · Replies 7 ·
Graduate Find a function f(z) such that f(f(z)) = exp(z)
- Count Iblis
- · Replies 20 ·
Graduate What does S^1 X S^1 really mean?
- pivoxa15
- · Replies 2 ·
Graduate What is compactness and how does it relate to uniform continuity?
- futurebird
- · Replies 14 ·
Graduate Non planar simplicial homology?
- Coolphreak
- · Replies 3 ·
Undergrad Triangle Inequality Proof theorem
- Howers
- · Replies 2 ·
Graduate What is the motivation behind homology?
- pivoxa15
- · Replies 4 ·
Graduate Complex powers/logarithmic spirals
- hoodwink
- · Replies 2 ·
Graduate Queer questions about topology
- navigator
- · Replies 5 ·
Graduate Why is the infinite Cartesian product of [0,1] with itself not countably based?
- Extropy
- · Replies 7 ·
Undergrad Uses of Topology: Learn What It Can Do
- 111111
- · Replies 2 ·
Graduate Contraction of a Line Segment Using Average Point
- matteo16
- · Replies 4 ·
Graduate Is Multi-Valued Functions a Misnomer?
- Gib Z
- · Replies 11 ·
Graduate Is it true that ||z| - |w|| \leq |z + w| ?
- smoothman
- · Replies 1 ·
Graduate Proving open and closed sets in the complex plane
- heyo12
- · Replies 2 ·
Graduate Sequence that has a subsequence that converges towards any value in R
- Werg22
- · Replies 5 ·
Graduate Countable But Not Second Countable Topological Space
- Nolen Ryba
- · Replies 3 ·
Graduate Why can we assume 0.5|x - 4| < ε in epsilon-delta proofs?
- bjgawp
- · Replies 4 ·
Graduate In the derivation of a cycloid - problem in Stewart
- tronter
- · Replies 4 ·
Graduate Does flux through a closed surface depend on topology?
- Coolphreak
- · Replies 3 ·
Graduate Where does this inequality come from?
- michaelxavier
- · Replies 2 ·
Graduate Real Analysis- least upper bound and convergence
- Scousergirl
- · Replies 4 ·
Graduate How supposed I imagine the following equations?
- tomcenjerrym
- · Replies 1 ·
Graduate Why is identification topology called quotient topology?
- navigator
- · Replies 3 ·
High School Why are real and imaginary numbers perpendicular axes in the complex plane?
- JPC
- · Replies 10 ·
Undergrad What is the difference between norm and modulus?
- cks
- · Replies 6 ·
Graduate What is the Dedekind section definition of a lower bound?
- ice109
- · Replies 5 ·
Graduate Why does applying Dedekind cuts to the reals give reals?
- ice109
- · Replies 1 ·
Graduate Is every subspace of a connected space connected?
- quantum123
- · Replies 12 ·
Graduate An set without limit points - Necessarily closed?
- Extropy
- · Replies 15 ·
Graduate Does dividing a function by a smooth function result in a smooth function?
- tronter
- · Replies 1 ·
Undergrad Trig functions on complex numbers?
- davee123
- · Replies 3 ·
High School What's the deal with imaginary numbers?
- LHarriger
- · Replies 9 ·
Graduate Computing Relative Homology Groups from a Given Map
- bham10246
- · Replies 7 ·
Graduate Proving Triviality of pi_1(S^n;e) in Algebraic Topology
- bham10246
- · Replies 7 ·
Undergrad Is 2 pi i equal to 0, contradicting the fact that pi and i cannot equal 0?
- nicktacik
- · Replies 5 ·
Undergrad Cancelling Confusion with Complex Numbers and De Moivre's Theorem
- Trail_Builder
- · Replies 2 ·
Graduate Computing the homology of R^3 - S^1
- bham10246
- · Replies 5 ·
Graduate Riemann surface, elliptic curves
- Ratzinger
- · Replies 6 ·
Graduate How is the Void Open in the Topology of R^n?
- quasar987
- · Replies 6 ·
Graduate Is a continuous bijection from ℝ³ to itself always a homeomorphism?
- Xian'an Jin
- · Replies 12 ·
Undergrad What is 'cluster point' in french?
- quasar987
- · Replies 10 ·
Undergrad What is the Formula for Multiplying Complex Numbers in Polar Form?
- Joza
- · Replies 5 ·
Graduate Proof: Complex Number w^2+(5/w)-2=0 is Purely Imaginary
- ahoy hoy
- · Replies 2 ·
Graduate Worldsheet and complex analysis stuff
- nrqed
- · Replies 13 ·
Undergrad Converting Complex Numbers to Trigonometric Identities
- Joza
- · Replies 8 ·
Graduate What is the Definition of a Conic in Complex Projective 2 Space?
- Diophantus
- · Replies 2 ·
Graduate Graphing Euler Relationship as exponential spiral
- KeyLime
- · Replies 5 ·
Graduate Prove Injectivity of x^x Function?
- Izzhov
- · Replies 32 ·
Undergrad Calculating the Imaginary Part of (1-2i)^2-i
- Anood
- · Replies 1 ·
Undergrad Complex Numbers: Solving 2^(8n)exp^(2niπ)=2^(8n)
- craig100
- · Replies 5 ·
High School Solving Complex Numbers: How Does 1 + i Equal √2?
- craig100
- · Replies 8 ·
Graduate Fully Developed Areas in Mathematics
- RJ Emery
- · Replies 4 ·
Graduate + infinity and - infinity join ?
- JPC
- · Replies 4 ·
Graduate Why does [f]*[g] = [f*g] for path-homotopy equivalence classes?
- JasonRox
- · Replies 11 ·
Graduate Can the reals be characterized by topological properties?
- DeadWolfe
- · Replies 3 ·
Undergrad Why is the square root of i equal to exp(iπ/4)?
- neu
- · Replies 17 ·
High School Are Infinite Points on a Straight Line Just One Point?
- nine
- · Replies 35 ·
Undergrad Solving for z with Complex Numbers
- Jeff Cook
- · Replies 14 ·
Undergrad Proof Complex Numbers: How to Prove |z1|^2/|z2|^2 = |z1/z2|^2
- Suni
- · Replies 2 ·
Undergrad Is ln(-1) Equal to Zero?
- alba_ei
- · Replies 14 ·
Undergrad Can sinh x = 0 and cosh z = 0 Be Solved Simultaneously?
- En_lizard
- · Replies 9 ·
Undergrad What is the mathematical equation for calculating the arg function?
- pyro_dragun
- · Replies 5 ·
Graduate Why not use contour integration for the Fourier transform integral
- Swapnil
- · Replies 2 ·
Graduate Symbols for homeomorphic, isomorphic, homotopic
- quasar987
- · Replies 5 ·
Graduate Proving Real Numbers Satisfy Inequality
- murshid_islam
- · Replies 10 ·
Undergrad What are extended plane and extended space?
- *best&sweetest*
- · Replies 1 ·
Undergrad What is a pathological function and how can it be constructed?
- Swapnil
- · Replies 12 ·
Undergrad May be a stupid question, but bothering me for long time
- christinaz
- · Replies 16 ·
Graduate Why Do Different Math Textbooks Use Varying Definitions and Notations?
- Tom1992
- · Replies 6 ·
Undergrad Having trouble with complex quadratic equations
- Jeff Cook
- · Replies 5 ·