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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Uniform Continuity and Cauchy Sequences
- Enzipino
- · Replies 7 ·
Graduate Name of a concept in math analysis in English
- nuuskur
- · Replies 2 ·
Graduate What is measure of numbers with certain property on [0,1]
- dimitri151
- · Replies 4 ·
Graduate Usefulness of partition of unity?
- JonnyG
- · Replies 8 ·
Graduate What Is Mary Boas' Theorem III About Analytic Functions and Taylor Series?
- DrPapper
- · Replies 7 ·
Graduate Extension of measure on sigma-algebra
- Mike.B
- · Replies 2 ·
Graduate Prove gamma (n+1/2) = (2npi^1/2)/(n4^n) by induction
- Pami
- · Replies 1 ·
Lemma on integrating forms over subvarieties with null preimages
- HughBennet
- · Replies 1 ·
Graduate Unique Property of Convergent Series?
- dimitri151
- · Replies 3 ·
Graduate Minimizing Aphi' + Bcos(phi) in [0,L] w/ phi(0)=0
- dirk_mec1
- · Replies 9 ·
Graduate Multivariate piecewise fxn continuity and partial derivative
- vchurchill
- · Replies 1 ·
Graduate How do metric scaling factors transform operators between coordinate systems?
- Muthumanimaran
- · Replies 1 ·
When are two metrics equivalent?
- wonguyen1995
- · Replies 1 ·
Graduate Piecewise Linear Programming with Multiple Functions
- smehdi
- · Replies 3 ·
Graduate Does Poincaré conjecture require trivial higher homotopy groups?
- jk22
- · Replies 26 ·
Showing a simple function is continuous on a restricted domain
- kalish1
- · Replies 1 ·
Analysis of Implicit Differentiation
- Math Amateur
- · Replies 2 ·
Graduate Measurability of a function with finite codomain
- hwangii
- · Replies 2 ·
Graduate Maxmimum\Minimum modulus principle
- MMS
- · Replies 3 ·
Undergrad Expanding a Taylor series about a different point
- MMS
- · Replies 1 ·
Construction of a Cauchy sequence
- Paradox 101
- · Replies 6 ·
Graduate A sequence of functions evaluated at a sequence
- AxiomOfChoice
- · Replies 5 ·
Graduate Intuition and visualization of cylinder sets in lattice systems
- JorisL
- · Replies 1 ·
Graduate Why are separable spaces called "separable"?
- pellman
- · Replies 10 ·
What is Stoll's definition of the natural logarithm function?
- Math Amateur
- · Replies 4 ·
Continuity of inverse function at endpoints
- Dave1
- · Replies 1 ·
Undergrad Why isn't the real part of z just the coefficient R?
- whatisreality
- · Replies 7 ·
Graduate How to solve for a function that is asymptotic to a sequence
- japplepie
- · Replies 13 ·
Complex function that satisfies Cauchy Riemann equations
- beetlez
- · Replies 2 ·
Proof of Sum-Union Measure Inequality
- mathmari
- · Replies 1 ·
Graduate Conditions on f for dx/f(x) to be a Measure in L^2
- Jip
- · Replies 4 ·
Computing a Simple Integral Via Riemann Sums
- Math Amateur
- · Replies 4 ·
Fundamental Theorem of the Calculus - Stoll: Theorem 6.3.2
- Math Amateur
- · Replies 2 ·
Graduate Every nonnegative real has an nth root proof
- sonofagun
- · Replies 9 ·
Solving for $Mf \notin L^1(\mathbb{R})$ with $f \in L^1 (\mathbb{R})$
- mathmari
- · Replies 1 ·
Riemann Criterion for Integrability - Stoll: Theorem 6.17
- Math Amateur
- · Replies 3 ·
Showing the “only if” direction of equality in a complex equality
- kalish1
- · Replies 1 ·
L'Hopital's Rule _ Statement of Theorem (Houshang H. Sohrab)
- Math Amateur
- · Replies 1 ·
Proof of Darboux's Theorem (IVT for Derivatives)
- Math Amateur
- · Replies 7 ·
Undergrad Numerical Approximation and addition of new data points
- Geeniey
- · Replies 11 ·
Inverse Function Theorem for One Real Variable
- Math Amateur
- · Replies 2 ·
Algebra of limits when individual limits don't exist
- Math Amateur
- · Replies 4 ·
Graduate Definitions of Lebesgue integral
- DavideGenoa
- · Replies 11 ·
Graduate Rudin's Principles Theorem 1.11 (supremum, infimum)
- ramleren
- · Replies 3 ·
Find the following in x + iy form
- Logan Land
- · Replies 2 ·
Proof of Chain Rule for Differentiation - Stoll, Theorem 5.1.6
- Math Amateur
- · Replies 1 ·
Trigonometric Inequality in Tom Apostol's Book
- Math Amateur
- · Replies 5 ·
Can a finite set be compact?
- Math Amateur
- · Replies 7 ·
Graduate What Are Imaginary Volumes in Complex Numbers and Algebras?
- samsara15
- · Replies 1 ·
To Prove that The Level Set Of A Constant Rank Map is a Manifold
- caffeinemachine
- · Replies 3 ·
Proving continuity of f* in Apostol Theorem 5.2
- Math Amateur
- · Replies 2 ·
Metric Spaces - Fixed Point Theorem (Apostol, Theorem 4.48)
- Math Amateur
- · Replies 4 ·
Graduate Hypersurfaces of R^n are Orientable
- WWGD
- · Replies 5 ·
Graduate Obstruction Theory and Embeddings
- WWGD
- · Replies 3 ·
Graduate Prove f(z) = |z| is not analytic
- inversquare
- · Replies 16 ·
Graduate Why does the double integral of (ds)² give (x−xᵢ)²/2 not (x−xᵢ)²?
- member 428835
- · Replies 14 ·
Graduate Removable Singularity: Is it the Same as a Simple Pole?
- MMS
- · Replies 2 ·
Graduate Real / Functional Analysis Video Lectures?
- Knissp
- · Replies 16 ·
Why is infimum adherent to a set in Apostol's theorem 4.28?
- Math Amateur
- · Replies 3 ·
Continuity and Compact Sets - Bolzano's Theorem
- Math Amateur
- · Replies 3 ·
Graduate Is the Definition of Sigma Algebra Limited to Countable Unions?
- AlonsoMcLaren
- · Replies 1 ·
Measure theory book covering Lebesgue measure and Hilbert spaces
- mathmari
- · Replies 1 ·
Graduate Can a 4D shape exist in our universe?
- Dean Whaley
- · Replies 12 ·
Graduate Why does x^n converge uniformly on [-α,α] but not on (-1,1)?
- BrainHurts
- · Replies 12 ·
Challenge for Polynomial with Complex Coefficients
- anemone
- · Replies 1 ·
Undergrad Definition of pointwise in mathematics?
- Mr Davis 97
- · Replies 4 ·
Linear operator, its dual, proving surjectivity
- Linux
- · Replies 4 ·
Apostal Chapter 4 - Cauchy Sequences - Example 1, Section 4.3, page 73
- Math Amateur
- · Replies 4 ·
Graduate Intersection of a closed convex set
- Funky1981
- · Replies 1 ·
Graduate Physical explanation of e^i*pi=-1
- THE HARLEQUIN
- · Replies 4 ·
Graduate Homogeneous but not additive function R→R
- WWGD
- · Replies 11 ·
Every interval (a,b) contains both rational and irrational numbers
- Math Amateur
- · Replies 2 ·
Does Cesaro-Stolz theorem apply when the limit is zero?
- chisigma
- · Replies 7 ·
Graduate Proof that a TVS is seminormed iff it is locally convex
- A_B
- · Replies 2 ·
Perfect Sets in R^k are uncountable - Issue/problem 2
- Math Amateur
- · Replies 5 ·
Perfect Sets in R^k are uncountable
- Math Amateur
- · Replies 3 ·
Undergrad Identifying the name of a theorem
- nuuskur
- · Replies 3 ·
Graduate Existence of x,y so that x-y is in Z-{0}.
- WWGD
- · Replies 1 ·
Heine-Borel Theorem - Proof - Rudin Theorem 2.41
- Math Amateur
- · Replies 5 ·
Graduate Proof using the closed graph theorem
- A_B
- · Replies 2 ·
Sequence of Intervals - Rudin, Theorem 2.38
- Math Amateur
- · Replies 1 ·
Graduate Easy question regarding the basis for a topology
- christian1357
- · Replies 1 ·
Complex Contour integration of rational function
- Amad27
- · Replies 24 ·
Undergrad Is learning epsilon-delta proofs before analysis a good idea
- Magenta55
- · Replies 2 ·
Graduate Real analysis exam problem on Lebesgue measure and density
- Jaggis
- · Replies 11 ·
Graduate ArXiv:1301.7652 and Euler homogeneous function theorem
- strangerep
- · Replies 6 ·
Graduate "Robustness" of Nielsen-Thurston Classification
- WWGD
- · Replies 1 ·
Graduate Solving Equality Problem in Complex Numbers
- kelvin490
- · Replies 3 ·
Graduate Explain this method for integrals (complex analysis)
- Amad27
- · Replies 4 ·
Graduate Poincaré–Bendixson theorem behavior in planar dynamical systems
- ShayanJ
- · Replies 11 ·
Evaluating a rational function with contour integration
- Amad27
- · Replies 1 ·
Complex Contour Keyhole Integration Methods
- Amad27
- · Replies 5 ·
Parametrizatrion of a Straight Line Segment in C - Simple Issue
- Math Amateur
- · Replies 2 ·
Evaluating a logarithmic integral using complex analysis
- Amad27
- · Replies 5 ·
Graduate Proving integral on small contour is equal to 0.
- Amad27
- · Replies 1 ·
Graduate Proof of the Archimedean Property
- Bashyboy
- · Replies 9 ·
Graduate Why are complex numbers central to analysis and physics?
- Lapidus
- · Replies 4 ·
Graduate Covering space of implicit vs parametric functions
- ellipsis
- · Replies 6 ·
Graduate Writing Elements in $L^p(X,Y,\mu)$ Mathematically
- moh salem
- · Replies 5 ·
Can this inequality be proven under given conditions?
- klim
- · Replies 11 ·