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
High School No distinction between positive and negative for imag nums?
- Mr Davis 97
- · Replies 5 ·
Complex numbers simultaneous equations
- lemonthree
- · Replies 3 ·
Undergrad Radius of the largest ball inside a complex set.
- The Bill
- · Replies 3 ·
High School Predicting outputs of f(x)=(1+i)^x
- AaronQ
- · Replies 4 ·
High School Is it possible to represent 1D space within 2D space using only one coordinate?
- Einstein's Cat
- · Replies 12 ·
Graduate How can conformal mapping be used to convert curves between different maps?
- Bruno Tolentino
- · Replies 7 ·
Undergrad Complex Analysis, holomorphic in circle.
- kidsasd987
- · Replies 1 ·
Undergrad A Question about Notation and Continuous Linear Functionals
- Bashyboy
- · Replies 4 ·
Undergrad Substitution in a Lebesgue integral
- DavideGenoa
- · Replies 7 ·
Undergrad Boundedness and continuous functions
- orion
- · Replies 10 ·
Undergrad Is Compactness Necessary for Countable Objects?
- kidsasd987
- · Replies 8 ·
Undergrad Understanding the Heine Borel Theorem: An In-Depth Analysis
- kidsasd987
- · Replies 3 ·
Undergrad Integral: magnetic field inside infinite cylindrical current
- DavideGenoa
- · Replies 9 ·
Graduate Why Is Topology Essential for Understanding Manifolds in GR?
- Frank Castle
- · Replies 25 ·
Undergrad Associated Legendre polynomials: complex vs real argument
- avikarto
- · Replies 1 ·
Undergrad Why is the Fourier transform of a sinusoid assumed as this?
- loginorsinup
- · Replies 4 ·
Undergrad Heine-Borel Theorem shouldn't work for open intervals?
- Utilite
- · Replies 9 ·
Undergrad Complex Analysis holomorphic condition
- kidsasd987
- · Replies 13 ·
Sigma Algebra: Seeking Help on Closure & Countable Unions
- Arenholt
- · Replies 3 ·
Undergrad Complex Analysis Radius of Convergence.
- kidsasd987
- · Replies 7 ·
Undergrad Anybody here read Winfree "Geometry of Biological Time"?
- Jimster41
- · Replies 6 ·
Undergrad N-dimensional Lebesgue measure: def. with Borel sets
- DavideGenoa
- · Replies 2 ·
Undergrad Lebesgue measure under orthogonal transofrmation
- DavideGenoa
- · Replies 16 ·
Helpful Tips on Solving Complex Equations
- fabiancillo
- · Replies 6 ·
High School Partial derivative of the harmonic complex function
- Adel Makram
- · Replies 1 ·
Undergrad Any graph is "drawable" on a 2D surface?
- paizhaulski
- · Replies 3 ·
Undergrad Any two polygons can be continuously "extended" or ....?
- paizhaulski
- · Replies 1 ·
High School What is a clopen set and how can a set be both open and closed?
- ProfuselyQuarky
- · Replies 20 ·
Undergrad Analytic functions of analytic functions
- Physgeek64
- · Replies 3 ·
Undergrad Graphs of inverse trigonometric vs inverse hyperbolic functions
- Happiness
- · Replies 1 ·
Graduate Convergence of a cosine sequence in Banach space
- Jaggis
- · Replies 13 ·
Undergrad Why is E(t) multiplied by e^(-ix) in Plancherel's Theorem proof?
- QuantumDuality
- · Replies 3 ·
Graduate Concept of duality for projective spaces and manifolds
- SVN
- · Replies 8 ·
High School Can Riemann zeta function be written as ##f(s)=u(s)+iv(s)##?
- Adel Makram
- · Replies 1 ·
High School Simplifying the factors of a complex number's imaginary part
- TheCanadian
- · Replies 2 ·
Graduate Fourier Transform of a 2D Anisotropic Gaussian Function
- Mahpak
- · Replies 1 ·
Graduate Why are conics indistinguishable in projective geometry?
- SVN
- · Replies 6 ·
Efficient Techniques for Solving Complex Integrals | Help with Definite Integral
- jazhemar
- · Replies 3 ·
Integrating by an other variable
- evinda
- · Replies 1 ·
Undergrad What Is the Correct Expansion of \( e^{\frac{1}{z-1}} \)?
- bananabandana
- · Replies 15 ·
Efficient Method for Extracting Square Root of Complex Expressions
- NotaMathPerson
- · Replies 7 ·
High School Which Branch of Math Should I Study for a Foundation in Functional Analysis?
- houlahound
- · Replies 4 ·
Undergrad General topology: Countability and separation axioms
- beep300
- · Replies 6 ·
Graduate Can Gamma Functions Be Evaluated Analytically for Non-Integer Values?
- LagrangeEuler
- · Replies 2 ·
Graduate On embeddings of compact manifolds
- fresh_42
- · Replies 2 ·
Undergrad Tiling Polygons: Can Any n-Sided Polygon Tile?
- thetexan
- · Replies 1 ·
Graduate Density of Irrational Numbers in [0;1]
- Calabi
- · Replies 4 ·
Undergrad Relaxed conditions for the density: Ampère's law still valid?
- DavideGenoa
- · Replies 10 ·
Using the Definition: Showing $u \in C^0 [0,1]$
- evinda
- · Replies 2 ·
Undergrad Imaginary sinusoidal exponential
- spaghetti3451
- · Replies 8 ·
What is the limit of the difference of square roots of consecutive numbers?
- amr21
- · Replies 2 ·
High School What is the definition of a plane?
- thetexan
- · Replies 14 ·
Proving the Existence of Constants in a Summation Inequality
- evinda
- · Replies 14 ·
The function is 0 almost everywhere
- evinda
- · Replies 1 ·
Undergrad Struggling with Moduli in Complex Numbers?
- SamitC
- · Replies 4 ·
Undergrad Triangulation of circle and disk in R2
- pierce15
- · Replies 17 ·
High School Is 0 a Real Number, an Imaginary Number, or Both?
- Isaac0427
- · Replies 36 ·
So, the final answer would be 0. Is that correct?
- evinda
- · Replies 4 ·
Is It Possible to Prove the Complex Number Challenge?
- Greg
- · Replies 11 ·
Undergrad Why the space X=(0,1) is (not sequentially) compact?
- santiagorf
- · Replies 7 ·
Proof of Fredholm-Volterra Equation Convergence
- sarrah1
- · Replies 1 ·
Define a discontinuous sine function?
- samir
- · Replies 2 ·
Real conjugates of complex numbers?
- samir
- · Replies 1 ·
Undergrad Physical implications from Vitali sets or Banach-Tarski?
- greypilgrim
- · Replies 14 ·
High School Can Complex Numbers Extend Beyond Two Dimensions?
- thetexan
- · Replies 5 ·
Understanding the Integral in a Proof: A Closer Look at the Role of Supp and Chi
- evinda
- · Replies 3 ·
Can the Fourier Transform Prove the Fundamental Solution for a Heat Equation?
- evinda
- · Replies 1 ·
Graduate A function whose integral is either 0 or 1
- friend
- · Replies 3 ·
Undergrad How Does Jackson's Use of Manifolds Enhance Understanding of Electrodynamics?
- kidsasd987
- · Replies 4 ·
A whole function approximating polynomials
- LWRS
- · Replies 1 ·
Graduate Functional equation f(x)^n f(a - x) = 1
- Jonas Hall
- · Replies 4 ·
Undergrad Cantor's intersection theorem (Apostol)
- mr.tea
- · Replies 2 ·
Does this count as a proof for the infimum?
- NoName3
- · Replies 2 ·
Find GLB of A: $(-1)^n\left(\frac{1}{4}-\frac{2}{n}\right)$
- NoName3
- · Replies 5 ·
Graduate Can Discrete Parameters Be Used in Limit Calculations?
- friend
- · Replies 39 ·
High School Is hοh Monotonic If h Is Continuous?
- anachin6000
- · Replies 4 ·
Is the Product of Real Numbers Always Larger When Exponentiated?
- NoName3
- · Replies 2 ·
Prove Lagrange Property w/ Algebra - A Hint for You!
- evinda
- · Replies 3 ·
Using the axioms of ordered field
- NoName3
- · Replies 2 ·
Proving Subsets of Intervals in $\mathbb{R}$
- NoName3
- · Replies 2 ·
Undergrad Why Does Weak-* Topology Use Finite Neighborhoods?
- strangerep
- · Replies 53 ·
Residue Calc: $\cot^n(z)$ at $z=0$
- polygamma
- · Replies 1 ·
Graduate The fundamental group of preimage of covering map
- 1591238460
- · Replies 5 ·
Undergrad Partitions of Euclidean space, cubic lattice, convex sets
- Martin Rattigan
- · Replies 2 ·
Undergrad Non unicity of decimal expansion and extremes of intervals
- DaTario
- · Replies 54 ·
Graduate Commutations and delta in deriving Ampère's law
- DavideGenoa
- · Replies 2 ·
Graduate Commutation integral/derivative in deriving Ampère's law
- DavideGenoa
- · Replies 20 ·
What Does the Branch of the Cube Root Function Mean?
- alexmahone
- · Replies 1 ·
Graduate Question about proof from Bishop & Goldberg
- TeethWhitener
- · Replies 11 ·
Graduate Charts on Topological Manifolds - Simple Notational Issue
- Math Amateur
- · Replies 2 ·
How Do You Calculate the Contribution of Each Element to Total Variance?
- Rubberneck
- · Replies 1 ·
Graduate Convex Vector Spaces: Does Sum Exist in Normed Vectorial Space?
- Calabi
- · Replies 4 ·
Complete Sets of Real Numbers: Find All
- Evgeny.Makarov
- · Replies 2 ·
Graduate Clarification: proof that perfect subsets of R^k uncountable
- cpsinkule
- · Replies 6 ·
Graduate Understanding the Purpose of Charts in Differential Geometry
- Fgard
- · Replies 7 ·
Find Max Function g: $\sqrt{10^{2016}}$
- evinda
- · Replies 2 ·
Graduate Find Real Value of sin(i) Without i
- TheCanadian
- · Replies 3 ·
Graduate Is Isometry the Same as Isomorphism?
- ericm1234
- · Replies 9 ·
Undergrad Proof that the world is not flat
- Whitehole
- · Replies 73 ·
Proving Series Convergence: Comparing $\sum y_n$ with $\sum \frac{y_n}{1+y_n}$
- evinda
- · Replies 1 ·