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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Upper-Lower sum of Riemann Integral
- evinda
- · Replies 3 ·
Are Measures Really Equal If Integrals of Continuous Functions Match?
- Gerald1
- · Replies 3 ·
Graduate Limits of "Proper" Function Approach to Banach Spaces
- BDV
- · Replies 4 ·
What is the value of z if its argument is equal to its conjugate?
- Saitama
- · Replies 23 ·
Examples of spectral decompositions
- Boromir
- · Replies 3 ·
Graduate Kantorovich Norm Explained: Pushforward Measure & Integration
- johnqwertyful
- · Replies 2 ·
Can Complex Integration Solve These Advanced Calculus Problems?
- youth4ever
- · Replies 8 ·
Undergrad Complex conjugate of a complicated function
- BomboshMan
- · Replies 1 ·
Calculating Fourier Cosine Series of cos(x) from 0 to \pi
- Suvadip
- · Replies 4 ·
Proving x^8+1=P_0^3(x^2-2xcos(2k+1)π/8+1)
- Suvadip
- · Replies 2 ·
Undergrad Some remarks on complex numbers
- ClamShell
- · Replies 66 ·
Graduate Fourier transform and the frequency domain
- Bipolarity
- · Replies 6 ·
There are a,b>=0, such that |f(x)|<= ax+b
- evinda
- · Replies 10 ·
Second mean value theorem in Bonnet's form
- Suvadip
- · Replies 1 ·
Is $f(x)=\sqrt{x},x\geq 0$ Lipschitz at $[0,\infty]$?
- evinda
- · Replies 18 ·
Show that gof is uniformly continuous
- evinda
- · Replies 4 ·
Differentiability of complex function
- Suvadip
- · Replies 2 ·
Prove Real Roots of $x^3+ax+b=0$ When $a<0$
- anemone
- · Replies 4 ·
Graduate Would anyone like to comment on my proof?
- Jyan
- · Replies 8 ·
The Controversy Surrounding the Definition of Logarithm for Complex Numbers
- Suvadip
- · Replies 6 ·
If an operator commutes, its inverse commutes
- Boromir
- · Replies 1 ·
Undergrad How exp(jwt)=cos(wt)+jsin(wt)?
- nomisme
- · Replies 4 ·
Limit superior and limit inferior
- Suvadip
- · Replies 1 ·
Proving Continuity in a Rectangle Using f(x,y) Function
- Suvadip
- · Replies 1 ·
Munkres' 'Analysis on Manifolds' Question.
- caffeinemachine
- · Replies 4 ·
Undergrad In the complex number system, why can't 1+1 = 0 ?
- pondzo
- · Replies 25 ·
Continuous extension of homomorphism
- Boromir
- · Replies 7 ·
Graduate Is there any intro topics involving topology and physics?
- ozone
- · Replies 5 ·
Limit of Inverse Operators: Proving Convergence for Bounded Linear Sequences
- Boromir
- · Replies 6 ·
Graduate Give me example of antipodal set in infinite dimensional?
- parisa
- · Replies 1 ·
Showing a certain algebra is closed under inverses
- Boromir
- · Replies 9 ·
Graduate Why Doesn't the Fourier Series of a Dirac Comb Match Pointwise Values?
- sahil_time
- · Replies 7 ·
Show that there is a z such that f(z)=0
- evinda
- · Replies 5 ·
Show that if Σ((an)/(1+an)) converges,then Σan also converges
- evinda
- · Replies 4 ·
Are Simple Functions Dense in Bounded Borel Functions on a Compact Space?
- Fermat1
- · Replies 3 ·
How is this inequality obtained?
- Boromir
- · Replies 5 ·
Undergrad 2 definitions for argument, why?
- Jhenrique
- · Replies 3 ·
How Can Complex Analysis Be Used to Sum Powers of Sine Functions?
- Suvadip
- · Replies 1 ·
Proving Homomorphism in Commutative Subalgebras of Bounded Operators
- Boromir
- · Replies 9 ·
Undergrad Contradiction in the definition and properties of the abs
- Jhenrique
- · Replies 2 ·
Graduate Is the space of tempered distributions 1st countable ?
- dextercioby
- · Replies 6 ·
Graduate Real numbers without set theory
- Fredrik
- · Replies 6 ·
Graduate Topological indistinquisable points and set theory.
- center o bass
- · Replies 18 ·
Finding Minimum Value of Polynomial Function f
- evinda
- · Replies 8 ·
Graduate Question on Definition of Cover of a Set
- BrainHurts
- · Replies 3 ·
Undergrad Hyperbolic Sine - Exponent transition
- porcupineman23
- · Replies 2 ·
Show that the limit is equal to zero
- mathmari
- · Replies 5 ·
Graduate Surface height from surface normal function
- AndrewD
- · Replies 1 ·
Show that two subsequences are monotonic and bounded
- evinda
- · Replies 10 ·
Does the Sequence Diverge Using Inequalities?
- evinda
- · Replies 4 ·
Is f(x) Differentiable at x=0?
- evinda
- · Replies 4 ·
Show that there is a M>0 such that |f(x)|<M
- mathmari
- · Replies 11 ·
Can the sequence be determined by finding the difference?
- evinda
- · Replies 5 ·
Undergrad Can Complex Numbers in Polar Format Be Equated Like Real Numbers?
- KrayzBlu
- · Replies 3 ·
Graduate Dyadic Squares in the Unit Disc: A Proof and Critique
- Someone2841
- · Replies 1 ·
Graduate How to interpret this problem involving dyadic squares and unit disc?
- Someone2841
- · Replies 1 ·
Graduate Understanding the Open Set: Definition & Examples
- hideelo
- · Replies 19 ·
How can I find the maximum, minimum, supremum, and infimum of a given set?
- evinda
- · Replies 14 ·
Graduate How would one prove that algebraic topology can never have a non self-
- Amsingh123
- · Replies 8 ·
Graduate Can We Visualize the Fifth Dimension?
- Bluskyz
- · Replies 2 ·
Graduate Interpreting Complex Solutions in Cubic Bezier Curve Problems
- treddie
- · Replies 4 ·
Question about decreasing sequence and finding its limit
- evinda
- · Replies 7 ·
Fixed Point Theorem: Estimating x* With x9 & x10
- evinda
- · Replies 2 ·
Graduate Can open sets and closures intersect in a topological space?
- Shaji D R
- · Replies 8 ·
Graduate Approximating function by trigonometric polynomial
- ekkilop
- · Replies 3 ·
Graduate Projection to Invariant Functions:
- l'Hôpital
- · Replies 3 ·
Graduate Möbius Transformations <=> holomorphic and 1-to-1?
- nonequilibrium
- · Replies 1 ·
Can a Continuous Curve Only Intersect a Differentiable Curve at the Origin?
- caffeinemachine
- · Replies 3 ·
Graduate How to derive beta function as pochhammer contour integral?
- jackmell
- · Replies 12 ·
What are the possible values of $x+y$ in this complex number problem?
- Saitama
- · Replies 8 ·
Graduate If all elements of a set are individually bounded, is the set bounded?
- leinadle
- · Replies 5 ·
The sine inverse of a purely complex number
- Suvadip
- · Replies 5 ·
Pointwise convergence implies uniform convergence
- Siron
- · Replies 1 ·
Parameterization for a Straight Line
- nacho-man
- · Replies 3 ·
Understanding $\frac{1}{2}(\sin(z))^2$ and its Solution Using the Attached Image
- nacho-man
- · Replies 5 ·
Graduate Complex Made Simple: Notation on Disks
- BrainHurts
- · Replies 3 ·
Graduate How to check if function is differentiable at a point
- Fabio010
- · Replies 1 ·
Graduate Norms of compositions of bounded operators between different spaces
- AxiomOfChoice
- · Replies 2 ·
Graduate Finding Derivatives of Analytic Functions: Chain Rule Confusion
- Natura
- · Replies 6 ·
How do I solve complex number z^4+16=0
- Raerin
- · Replies 23 ·
Complex Number Equation: Why Does a+bi=1 Not Give the Final Answer?
- Raerin
- · Replies 6 ·
Graduate Heegard Splitting of the 2-Torus.
- WWGD
- · Replies 2 ·
Graduate Homotopy and Continuous Functions
- WWGD
- · Replies 24 ·
Graduate Principles Of Mathematical Analysis-Walter Rudin
- Shaji D R
- · Replies 10 ·
Graduate Definition of a circle in point set topology.
- center o bass
- · Replies 38 ·
Undergrad Is Sqrt(-1) not unique? I.e. is i not the only one?
- Curl
- · Replies 4 ·
Does Euclid's Fifth Postulate Apply to Non-Flat Surfaces Like Spheres?
- JamieLam
- · Replies 4 ·
Graduate Consecutive Reals: A Hypothetical Possibility?
- hddd123456789
- · Replies 39 ·
Graduate Need help with simple proof, metric space, open covering.
- bobby2k
- · Replies 7 ·
Two questions, one on harmonic functions
- nacho-man
- · Replies 3 ·
Proving Absolute Convergence of a Real-Valued Function on a Sigma Algebra
- Fermat1
- · Replies 1 ·
Graduate Continuity of the inverse of a linear operator
- AxiomOfChoice
- · Replies 2 ·
Graduate Inequality integral absolute value derivative
- jostpuur
- · Replies 12 ·
Pointwise Conv. | Does $f_{n}$-$f$ -> 0 for Each x?
- Fermat1
- · Replies 2 ·
Graduate Convex sets - How do we get (1−t)x+ty
- bhagwad
- · Replies 3 ·
Graduate Idea behind topological manifold definition.
- center o bass
- · Replies 3 ·
What is the relationship between the Mellin transform and the sine function?
- alyafey22
- · Replies 8 ·
Graduate Establishing that a function is discontinous
- center o bass
- · Replies 2 ·
Graduate Inverse Function Thm. and Covering Maps.
- WWGD
- · Replies 2 ·
Graduate Principles Of Mathematical Analysis-Walter Rudin
- Shaji D R
- · Replies 1 ·