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 What are the optimal constants for the Sobolev inequalities in 3D?
- Gerenuk
- · Replies 1 ·
Undergrad Representing complex number as a vector.
- dE_logics
- · Replies 6 ·
Graduate Complex Exponential: What is e^jw∞?
- tommyhakinen
- · Replies 1 ·
Graduate Unbounded and continuous almost everywhere
- Ja4Coltrane
- · Replies 5 ·
Graduate What is the best method for plotting complex inequalities on the complex plane?
- username12345
- · Replies 13 ·
Graduate What does the notation f|A mean?
- pellman
- · Replies 2 ·
Graduate Open subspace of a compact space topological space
- de_brook
- · Replies 1 ·
Graduate What happens to the intersection of subsets when the class is empty?
- samkolb
- · Replies 2 ·
Graduate What is the meaning of equivalence classes in complex projective space?
- Thorn
- · Replies 3 ·
Graduate Solving z*exp(z)=a: Proving Infinitely Many Roots
- bndnchrs
- · Replies 2 ·
Undergrad Proving the Intersection of Open Sets is Open
- enricfemi
- · Replies 12 ·
Graduate Solving Complex Equations: Does f(z) = 0 imply [f(z)]* = 0?
- praharmitra
- · Replies 5 ·
Graduate What is the proof of the theorem on limit points in topology?
- Sculptured
- · Replies 16 ·
Undergrad What is the definition of supremum and how does it relate to set A?
- lukaszh
- · Replies 6 ·
High School What are Real and Imaginary Numbers and How Do They Relate to Each Other?
- matt_crouch
- · Replies 7 ·
Graduate Why is \(\theta = n(\tan^{-1}(\frac{b}{a}))\) in complex exponentials?
- Gregg
- · Replies 1 ·
Graduate Is Pure Mathematics a Waste of Time?
- khemix
- · Replies 33 ·
Graduate Infinitely Many Turning Points: A Study of the Functions Re(t^i) and Im(t^i)
- ben297
- · Replies 1 ·
High School A small problem with complex conjugations
- Parnpuu
- · Replies 2 ·
Graduate Can a smooth function be constant on [a,b] but not everywhere?
- csprof2000
- · Replies 11 ·
Undergrad Proof of the Intermediate Value Theorem?
- jgens
- · Replies 15 ·
Undergrad Ready for Complex Analysis Course: MAA 4402
- ibensous
- · Replies 8 ·
Graduate If f is entire with f(z) = f(z + 2π) = f(z + 2πi), is f constant?
- alvielwj
- · Replies 5 ·
Graduate Is this integral a Lebesgue integral and what defines one?
- mooberrymarz
- · Replies 15 ·
Graduate Heine-Borel theorem inequality in Rudin's Theorem 2.41
- samspotting
- · Replies 5 ·
Graduate Can complex valued functions be written without using x+iy notation?
- Heirot
- · Replies 5 ·
Graduate What constitutes a quotient map?
- jhicks
- · Replies 6 ·
Graduate Prove Euler Identity without using Euler Formula
- maze
- · Replies 36 ·
High School How Do Complex Number Multiplication Rules Differ from Real Number Algebra?
- alpha01
- · Replies 11 ·
Undergrad Limit point definition: does every open interval need infinite sequence points?
- JG89
- · Replies 4 ·
Graduate I'm going to prove every single theorem in topology
- mathboy
- · Replies 47 ·
Graduate Nested sequences of rational intervals
- JG89
- · Replies 2 ·
Graduate Why does exp(iφ) relate exponential and cosine functions?
- Gerenuk
- · Replies 11 ·
Graduate What is a(m) in the definition of Cauchy sequences?
- garyljc
- · Replies 7 ·
Graduate A physical meaning to complex integration
- n0_3sc
- · Replies 8 ·
High School Understanding Complex Numbers: Squaring and Simplifying
- Master J
- · Replies 2 ·
Undergrad Applying Cauchy's theorem formula on the complex plane
- chota
- · Replies 1 ·
Graduate Distance function from x to the Cantor set
- Dragonfall
- · Replies 6 ·
Graduate Question regarding the definition of the complex fourier series
- Narcol2000
- · Replies 2 ·
Graduate What if one of Dedekind cut's properties were omitted?
- Ronn
- · Replies 1 ·
Undergrad Real Numbers: Show Base b Analogy Properties
- Diffy
- · Replies 1 ·
Graduate Complex Variable Methods Lecture Notes
- iopmar06
- · Replies 4 ·
Graduate How to fit a complex equation?
- bitele
- · Replies 3 ·
Graduate Proving $\Im (\ln(-|x|))=\pi$ for All Reals
- epkid08
- · Replies 2 ·
Graduate Is Brushing Up on Analysis Enough for a Graduate Course in Mathematical Finance?
- esahione
- · Replies 4 ·
Undergrad What Happens to sin(i) for Complex i?
- hadi amiri 4
- · Replies 57 ·
Graduate Simple Connectedness of [0,1]^k
- quasar987
- · Replies 3 ·
Graduate Visualizing Point at Infinity - Euclidean Plane
- Gear300
- · Replies 3 ·
Graduate Quotient of l_1(I) by c_0(I) and tensor products
- olliemath
- · Replies 1 ·
Graduate Complex conjugate an independent variable?
- Chen
- · Replies 8 ·
Graduate Is regularity preserved in subsets of regular spaces?
- ice109
- · Replies 3 ·
Undergrad How are the complex plane and real plane graphically related?
- chaoseverlasting
- · Replies 9 ·
Graduate Is R with the cofinite topology path connected?
- ice109
- · Replies 4 ·
Graduate Algebraic geometry/topology - ramification - sheaf cohomology
- bb16
- · Replies 3 ·
Graduate Euclidean Neighbourhoods are always open sets
- lantern
- · Replies 7 ·
Undergrad Liberty League International Complex Numbers
- Liberty Leagu
- · Replies 7 ·
Undergrad Raising a complex number to the nth power
- magda3227
- · Replies 7 ·
Graduate Visualizing intersecting multidimensional objects.
- Keys
- · Replies 3 ·
Undergrad How to solve z^3 = i and other equations with complex numbers
- lostinphys
- · Replies 4 ·
Graduate What is wrong with the following proof
- snipez90
- · Replies 3 ·
Undergrad Why does i*j*k=-1 in quaternion algebra?
- Adder_Noir
- · Replies 14 ·
High School We usually represent sqrt(-1) as i
- svigneshkumars
- · Replies 17 ·
Undergrad Finding Real and Imaginary Parts of Complex Numbers
- magda3227
- · Replies 3 ·
Undergrad What sets of points have well-defined area or volume?
- Werg22
- · Replies 2 ·
Graduate Why is 1+i = root 2e^(pi/4+2pi k) true?
- The_ArtofScience
- · Replies 3 ·
Graduate Can the image of f(x)=\cos x + i \sin x be proven to be the unit circle?
- CrumpledPaper
- · Replies 17 ·
Graduate Complex Analysis: Proving Bounds for |e^z-1|
- the1ceman
- · Replies 3 ·
Undergrad Complex Exponent Rules and Misconceptions
- Dark Fire
- · Replies 9 ·
Graduate What are some applications of the concept of complex infinity?
- Beer w/Straw
- · Replies 43 ·
Graduate Inequality in Körner's problem 1.16 about continuity in ℚ
- mlearner
- · Replies 7 ·
Undergrad What is the multiplicity of a pole in complex analysis?
- Icosahedron
- · Replies 8 ·
Graduate Evaluating Complex Integral: Over |z|=4 Region
- fudgenstuff
- · Replies 5 ·
Graduate Exponential law and complex numbers
- Positronized
- · Replies 3 ·
Graduate Is f(x) as the 100th Decimal Place Digit a Function?
- (_8^(1)
- · Replies 8 ·
Graduate An infinite amount of permutations,
- daniel_i_l
- · Replies 2 ·
Graduate What is the proof for the Riemann Series Theorem?
- daniel_i_l
- · Replies 5 ·
Graduate What Did Hermann Weyl Mean by We are Left with Our Symbols?
- pivoxa15
- · Replies 8 ·
Undergrad Applications of Complex Variables
- DaVinci
- · Replies 8 ·
Graduate Topology Questions: Isham's Modern Differential Geometry for Physicists
- UJS
- · Replies 3 ·
Graduate Algebraic Manipulation of Euler's Identity Leads to a Strange Result
- amolv06
- · Replies 3 ·
High School Questions about imaginary number and root of 4
- Shing
- · Replies 10 ·
Graduate Compact operators on infinite dimensional Banach spaces are never invertible
- quasar987
- · Replies 6 ·
Graduate Covering Sphere w/ Disks: Min Required Radius k
- Ynaught?
- · Replies 5 ·
Graduate Examples of sets that are both open and closed, or neither
- Ka Yan
- · Replies 2 ·
Graduate Is continuity of the derivative sufficient for analyticity?
- ultimateceej
- · Replies 2 ·
Graduate Does Every Topology Have a Minimal Subset Basis?
- mathboy
- · Replies 2 ·
Graduate How did separable spaces get their name?
- quasar987
- · Replies 1 ·
Graduate Conflicting statements from two topology textbooks
- mathboy
- · Replies 2 ·
Graduate Typo in Real Analysis Study Page: Absolute Value of x for x<0?
- starkind
- · Replies 3 ·
Graduate How many fixed points on a circle S/Z2?
- Living_Dog
- · Replies 6 ·
Graduate Is there a relation between coarseness and metrizability?
- quasar987
- · Replies 1 ·
Graduate Compactness of the unit ball in infinite dimension
- quasar987
- · Replies 12 ·
Graduate Hausdorffness of the product topology
- quasar987
- · Replies 4 ·
Undergrad Need hands to the Rational Set
- Ka Yan
- · Replies 9 ·
Graduate Difference between perfect and complete sets, and how to verify compactness
- Ka Yan
- · Replies 2 ·
Graduate Supplementary books for real analysis beyond Körner
- MrGandalf
- · Replies 7 ·
Graduate Why doesn't the gamma function integral diverge for negative non-integer z?
- vcdfrexzaswq
- · Replies 3 ·
Graduate Can Two-Moves Separate Components of a Link in Knot Theory?
- de1irious
- · Replies 2 ·
Undergrad How to map intervals of Real line
- Diffy
- · Replies 5 ·
Graduate Solving of the Poincare' Conjecture
- vincentm
- · Replies 1 ·