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 Non-trivial field limits' equivalence?
- Loren Booda
- · Replies 9 ·
Graduate Describing a Cyclic Space: 0 = 1
- yetar
- · Replies 2 ·
Undergrad Square Root of Complex Numbers
- littleHilbert
- · Replies 5 ·
Undergrad What Distinguishes Distributions from Functions?
- Swapnil
- · Replies 2 ·
Undergrad How to compare complex numbers with greater than
- Teegvin
- · Replies 7 ·
Graduate Proving the Independence of Connected Sum on Open Discs: A Topological Approach
- Diophantus
- · Replies 2 ·
Graduate Fundamental Groups of the Mobius Band
- Palindrom
- · Replies 6 ·
Graduate Does continuity of an invertible function imply continuity of its inverse?
- quasar987
- · Replies 2 ·
Undergrad What is the second part of the question asking?
- phalanx123
- · Replies 3 ·
Undergrad Complex numbers: don't understand graph of 1/z
- james5
- · Replies 4 ·
Undergrad Proof that Re^(jθ) = R(cos θ + j sin θ)
- lazypast
- · Replies 15 ·
Graduate Why do Julia sets have mirror symmetry?
- chaoseverlasting
- · Replies 1 ·
Graduate What is the Relationship Between Metrics and Topology?
- JasonRox
- · Replies 10 ·
Undergrad Conjugate of cos(x) using Euler's formula
- Brewer
- · Replies 5 ·
Graduate Find the proof with supremum for bounded and disjoint sets
- MathematicalPhysicist
- · Replies 11 ·
Undergrad What is the confusion surrounding complex numbers and their representation?
- Muhammad Ali
- · Replies 1 ·
Undergrad Cube roots of a complex number
- murshid_islam
- · Replies 13 ·
Graduate Questions on functions and supremums and infimums.
- MathematicalPhysicist
- · Replies 5 ·
Graduate Proving Inequalities Between Infimum and Supremum in Subset Relations
- MathematicalPhysicist
- · Replies 3 ·
Graduate Geometric Topology Vs. Algebraic Topology.
- MathematicalPhysicist
- · Replies 1 ·
Undergrad Modulus of 2r cos x + ri sin x with unequal coefficients
- aerosmith
- · Replies 6 ·
High School Using complex numbers in polar form on calculator?
- meee
- · Replies 2 ·
Graduate Proving the Dirac delta composition formula
- orion141
- · Replies 3 ·
Graduate Is Distance an Abstract Concept? A Debate on the Definition of Length
- Werg22
- · Replies 14 ·
Graduate A world with no curves, artificially creating a circle?
- Chaos' lil bro Order
- · Replies 15 ·
Undergrad Can there be 3 collinear points in a curve?
- Skhandelwal
- · Replies 25 ·
Graduate Where to learn about toruses and n-balls for algebraic topology?
- Evilinside
- · Replies 5 ·
Undergrad How is the multiplication rule for complex numbers derived?
- pivoxa15
- · Replies 11 ·
Graduate What does C^r mean for functions of several variables?
- quasar987
- · Replies 1 ·
Undergrad If you can't find a number between 0.999... and 1, are they the same?
- BSMSMSTMSPHD
- · Replies 60 ·
Undergrad Can All Functions Be Plotted on a Complex Plane?
- scott_alexsk
- · Replies 1 ·
Undergrad Complex Exponential: Why is e Used?
- Repetit
- · Replies 2 ·
Graduate Elementary Real and Complex Analysis
- Pseudo Statistic
- · Replies 6 ·
Graduate Residue of z/cos(z) at zeros of cos(z)
- pivoxa15
- · Replies 15 ·
Graduate Why are topology and sigma-algebras defined in a similar way?
- jordanl122
- · Replies 2 ·
Graduate What is
- Dragonfall
- · Replies 5 ·
Graduate Why Are Only Constant Functions Continuous in Concrete Topology?
- LeonhardEuler
- · Replies 18 ·
Undergrad Image of |z-1| ≤ 1 under w = 1/z in complex plane
- simick1712
- · Replies 4 ·
Undergrad Complex number exponential subtraction
- Exulus
- · Replies 4 ·
Graduate What is the Branch of Mathematics that Maps Entire Sub-Disciplines?
- Lacy33
- · Replies 4 ·
Graduate Proving Noncompactness of Unit Ball in Infinite-Dimensional Banach Space
- dextercioby
- · Replies 2 ·
Graduate Are complex numbers truly needed in quantum physics or just useful math?
- Dense
- · Replies 11 ·
Graduate Are vertical and horizontal tori topologically equivalent?
- DaveC426913
- · Replies 25 ·
Undergrad Bounded sequence as convergent
- electronic engineer
- · Replies 7 ·
Graduate What is the definition of a topological space?
- JasonRox
- · Replies 8 ·
High School What is topology?
- En_lizard
- · Replies 5 ·
Undergrad Points in 2- and 3-dimensional space
- symplectic_manifold
- · Replies 4 ·
Undergrad Why Does the Equation 1 = -1 Seem Correct?
- sparkster
- · Replies 3 ·
Undergrad Good articles about complex numbers and complex envelopes
- dervast
- · Replies 2 ·
Graduate Why is the Hilbert cube called a cube?
- Cincinnatus
- · Replies 3 ·
Graduate A conjecture about the roots of real functions
- eljose
- · Replies 6 ·
Undergrad What do u need to learn topology?
- michealsmith
- · Replies 4 ·
Graduate What is the equivalence of definitions for completely regular spaces?
- Cincinnatus
- · Replies 2 ·
Graduate Visualizing topological spaces
- Cincinnatus
- · Replies 5 ·
Undergrad 0.999 =1 is LUB or exactly the same
- Algorithm
- · Replies 4 ·
Undergrad Resources for learning complex numbers and De Moivre's theorem
- shaiqbashir
- · Replies 1 ·
Graduate Complex Plane Dimension Number
- Terry Giblin
- · Replies 2 ·
Graduate How can complex analysis be applied to Einstein's theory of relativity?
- Tom Piper
- · Replies 14 ·
Graduate A question of roots of riemann function
- eljose
- · Replies 4 ·
Undergrad Importance of Complex Analysis
- heman
- · Replies 25 ·
Graduate Weierstrass approach to analysis
- MathematicalPhysicist
- · Replies 15 ·
Graduate Explaining topology to non-mathematicians
- octol
- · Replies 44 ·
Graduate How Many Roots Exist for Complex Numbers Raised to Irrational Powers?
- cjellison
- · Replies 2 ·
Undergrad Trig chart for the complex plane
- yourdadonapogostick
- · Replies 22 ·
Graduate Why is (algebraic) topology important?
- octol
- · Replies 3 ·
Graduate Find a root for this expression:
- MaxwellPhill
- · Replies 3 ·
Graduate Laurent series of the function f(z)=1/z^2 for |z-a|>|a|
- heman
- · Replies 7 ·
Undergrad Calculate sin and cos using complex numbers
- TomMe
- · Replies 12 ·
Graduate Complex numbers and modulus problem
- TomMe
- · Replies 7 ·
Undergrad What are Möbius Transformations and What are Their Applications?
- mprm86
- · Replies 1 ·
Undergrad How to Express a Complex Number in the Form of I-Tan(kA)?
- floped perfect
- · Replies 3 ·
Graduate No Complex Analysis Equation z^4 + z + 5 = 0
- heman
- · Replies 13 ·
Graduate Van Kampen's theorem and fundamental groups
- sparkster
- · Replies 7 ·
Graduate What values of z in the complex plane make the series absolutely convergent?
- heman
- · Replies 4 ·
Graduate Why is i^i equal to a real number?
- Max cohen
- · Replies 19 ·
Graduate Uniform Metric vs Box Topology
- joeboo
- · Replies 2 ·
Graduate Can Complex Analysis Solve x^{sin(y)}=y^{cos(x)}?
- saltydog
- · Replies 11 ·
Graduate What is the definition of 'space'?
- quasar987
- · Replies 4 ·
Graduate Compact sets and homeomorphisms
- Gunni
- · Replies 24 ·
High School Understanding Imaginary Roots in Complex Numbers
- abia ubong
- · Replies 11 ·
Undergrad Conformal mapping in Complex Analysis
- rhia
- · Replies 5 ·
Undergrad Complex numbers and coordinates
- BobG
- · Replies 5 ·
Undergrad Flaw in complex number square root reasoning
- quasar987
- · Replies 12 ·
Graduate What is the basis for the inner product of functions?
- sid_galt
- · Replies 2 ·
High School How to solve x^5 = x
- Exulus
- · Replies 9 ·
Graduate Relative Boundaries in General Topology
- quantumdude
- · Replies 2 ·
Graduate Can You Create a Bijective Function from the Reals to the Interval [0,1]?
- gravenewworld
- · Replies 1 ·
Undergrad (x)=max{f(x),g(x)} continuous functions
- QUBStudent
- · Replies 4 ·
Graduate What is complex analysis and what are its applications?
- Gza
- · Replies 6 ·
Undergrad What is the definition of distance between a point and a set of points?
- kakarukeys
- · Replies 4 ·
Graduate Contour Integration: Find Out Non-Removable Singularities?
- Manchot
- · Replies 2 ·
Graduate Solving Ln(-1) with Euler's Equation
- T@P
- · Replies 12 ·
Graduate Has the Poincaré Conjecture Been Proven? A Review of the Proposed Proof
- Icebreaker
- · Replies 13 ·
Undergrad Sequence of rationals that converge to irrational
- tonebone10
- · Replies 10 ·
Graduate Why are ℂ and ℝ² considered interchangeable if they have different structures?
- cepheid
- · Replies 4 ·
Undergrad Is .999' Equal to 1? A Proof Using Reductio Ad Absurdum
- Pyrovus
- · Replies 13 ·
Undergrad Is the Function f(x) Continuous at x=0 Given Its Definition and Behavior?
- kidia
- · Replies 1 ·
Graduate Accumulation/densification points.
- Galileo
- · Replies 3 ·
Graduate How can I express the coordinates of a pentagram in the complex plane using Phi?
- arcnets
- · Replies 6 ·
Graduate Mean ergodic theorem von Neumann
- trosten
- · Replies 1 ·