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 Uniform continuity and the sup norm
- AxiomOfChoice
- · Replies 2 ·
Graduate The set of the real numbers is closed
- tom.stoer
- · Replies 14 ·
Closed form chains of derivatives
- mathbalarka
- · Replies 10 ·
Undergrad Complex numbers: reinventing the wheel?
- bobie
- · Replies 12 ·
Graduate Understanding Contractible Curves
- sadegh4137
- · Replies 2 ·
Graduate Construct an explicit isomorphism
- bedi
- · Replies 1 ·
Graduate Are There Subsets of the Real Line That Are Compact But Not Connected?
- Salamon
- · Replies 7 ·
Graduate Open set (equivalent definitions?)
- center o bass
- · Replies 3 ·
Graduate How can the residue theorem be used to calculate contour integrals?
- HJ Farnsworth
- · Replies 4 ·
Graduate Is Euclid's Fourth Postulate Redundant?
- lugita15
- · Replies 3 ·
How Do I Prove the Cantor-Bernstein Theorem?
- Usagi
- · Replies 2 ·
Expressing zeta(3) in terms of a Glaisher-Kinkelin-like constant
- polygamma
- · Replies 1 ·
Graduate Examples of Diminnie orthogonality
- PonyBarometer
- · Replies 1 ·
Graduate Constructing the real number system by Dedekind cuts?
- Vahsek
- · Replies 11 ·
How is the proof of the hard limit problem related to continuity of a function?
- Cephal
- · Replies 6 ·
A derivation of the duplication formula for the Barnes-G function
- polygamma
- · Replies 2 ·
Graduate {R. Zeta fn. zeros} = {Dir. eta fn. zeros} for 0<Re(s)<1?
- nomadreid
- · Replies 4 ·
Graduate Cauchy-Goursat Theorem question
- mathsciguy
- · Replies 1 ·
Graduate Simplifying an Infinite Composite Recursion in a System of Equations
- Spacemoss
- · Replies 4 ·
Show that the function is not differentiable at the point z
- mathmari
- · Replies 5 ·
Undergrad Challenge 10a: Temperatures of the Earth
- Office_Shredder
- · Replies 8 ·
Graduate The windowed Fourier transform on R
- m.a.math
- · Replies 2 ·
Show that f'(0) exists and find its value
- evinda
- · Replies 9 ·
High School Any real world use of imaginary numbers?
- suchal
- · Replies 21 ·
Generalized Log-Trig series related to the Hurwitz Zeta
- DreamWeaver
- · Replies 11 ·
Trigonometric series related to the Hurwitz Zeta function
- DreamWeaver
- · Replies 11 ·
Graduate Equicontinuity at a point if.f. continuous function constant
- adam512
- · Replies 3 ·
Graduate Are resolvents for self-adjoint operators themselves self-adjoint?
- AxiomOfChoice
- · Replies 2 ·
Graduate Which algebraic branches does a pochammer contour traverse?
- jackmell
- · Replies 2 ·
A conjecture on a Generalized Barnes' function - can anyone help?
- DreamWeaver
- · Replies 9 ·
Graduate Defining the square root of an unbounded linear operator
- AxiomOfChoice
- · Replies 5 ·
Graduate Are Absolute Harmonicity and Analyticity Related in Functions?
- rasi
- · Replies 1 ·
How Can One Prove the Besicovitch Covering Lemma for an Unbounded Set?
- ArcanaNoir
- · Replies 1 ·
If Derivative is Not Zero Anywhere Then Function is Injective.
- caffeinemachine
- · Replies 6 ·
Undergrad Is Adult Rudin Suitable for Self-Study of Complex Analysis?
- pswongaa
- · Replies 1 ·
Proving Simple Summable Functions and Cauchy Sequences on [0,1]
- Fermat1
- · Replies 11 ·
Graduate Why Must Cuts in the Rationals Have No Largest Element?
- Demon117
- · Replies 1 ·
Graduate Find Analytic Functions with u(x,y)=(x^2)+(y^2)
- rasi
- · Replies 5 ·
Graduate Is the closure of a set the same as its smallest closed set containing it?
- Bipolarity
- · Replies 1 ·
Graduate Identifying singularities of f and classifying them
- SALAAH_BEDDIAF
- · Replies 3 ·
Proving Y is Dense in X: Let's See!
- Fermat1
- · Replies 5 ·
Graduate Definition of two homeomorphic spaces
- Streltsy
- · Replies 9 ·
Poles on Real Line: Is \(z = \pm a\) Included?
- Dustinsfl
- · Replies 2 ·
Prove u(A/E)=0 for Compact Hausdorff Spaces and Borel Measure
- Fermat1
- · Replies 4 ·
Norm of a Bounded Linear Functional
- Sudharaka
- · Replies 8 ·
Graduate Definition of a subbasis of a topology
- V0ODO0CH1LD
- · Replies 4 ·
Complex Number Problems in Applied Maths
- anil86
- · Replies 4 ·
How Is the Variation of a Complex Charge Determined with Disjunctive Charges?
- Fermat1
- · Replies 1 ·
Measurability of Open Sets in [0,1]
- Fermat1
- · Replies 2 ·
Graduate Measurability with respect to completion
- haljordan45
- · Replies 4 ·
Graduate What is ramification for z^(p/q)(1-z)^(r/s)?
- jackmell
- · Replies 1 ·
Can the Dominated Convergence Theorem Apply to f_n(x) on [0,1]?
- Fermat1
- · Replies 4 ·
Show that the sequence has a decreasing subsequence
- mathmari
- · Replies 3 ·
Graduate Are the positive-semidefinite requirements necessary for metric space axioms?
- Bipolarity
- · Replies 19 ·
Graduate Can the topology of a manifold influence its metric properties?
- friend
- · Replies 11 ·
Graduate Is the empty set always part of the basis of a topology?
- V0ODO0CH1LD
- · Replies 18 ·
Graduate Questions about the definition of open sets
- V0ODO0CH1LD
- · Replies 5 ·
Graduate Is There a More Rigorous Analysis Text Than Rudin?
- bhagwad
- · Replies 30 ·
Graduate Poor Symbol choice - Principles of Mathematical Analysis by Rudin
- bhagwad
- · Replies 4 ·
Approximation property with F sigma and G delta Sets to show a set is measurable
- ryo0071
- · Replies 1 ·
Graduate Modified Bessel function with imaginary index is purely real?
- perishingtardi
- · Replies 1 ·
Using Classification of Poles to Calculate Residues
- shen07
- · Replies 9 ·
Graduate How to Express Function f in Terms of Complex Variable z?
- SALAAH_BEDDIAF
- · Replies 3 ·
Examples of Uniformly, point wise convergence
- Amer
- · Replies 2 ·
Odd Space Question: Defining a Function from Reals to Reals for Negative Numbers
- poissonspot
- · Replies 1 ·
Graduate Understanding Complex Integrals: Interpretation and Visualization
- Jhenrique
- · Replies 6 ·
Graduate Advanced numerical analysis - numerical integration
- alpha754293
- · Replies 2 ·
Graduate Why Does B Include the Segment [a,c) in Topological Space X?
- qinglong.1397
- · Replies 2 ·
High School Why is i^2 equal to -1 in complex numbers?
- Tyrion101
- · Replies 18 ·
Evaluate |y²|+|z²| for Complex Numbers w/ |x+y+z|=21, |x-y|=2√3, |x|=3√3
- anemone
- · Replies 3 ·
Graduate Is there a relation between log and arcs for complex numbers?
- Jhenrique
- · Replies 9 ·
Solving Complex Integration Problems with \((*) Formula
- Dustinsfl
- · Replies 6 ·
Product of discontinuous functions
- alyafey22
- · Replies 3 ·
Coefficient in a Laurent Expansion in terms of an Integral
- shen07
- · Replies 7 ·
Graduate Isolated points must be boundary points?
- Bipolarity
- · Replies 3 ·
Convergence of bounded linear operators
- Fermat1
- · Replies 6 ·
Limit of f(x+y)=f(x)+f(y) near 0
- alyafey22
- · Replies 18 ·
Graduate Rudin Theorem 1.21. How does he get The identity ?
- bhagwad
- · Replies 6 ·
Integral = 2pi sum res UHP + pi i sum res real axis
- Dustinsfl
- · Replies 5 ·
Graduate How to think of uniform continuity intuitively?
- math.geek
- · Replies 18 ·
Complex real function u when f = u + iv
- Dustinsfl
- · Replies 7 ·
Undergrad What does a function takes on mean?
- Nikitin
- · Replies 1 ·
Graduate Bijection is uniformly continuous
- deekin
- · Replies 1 ·
How can I solve power series questions 1a, 1c, and 1f?
- nacho-man
- · Replies 6 ·
Residues/Classifying singularities
- nacho-man
- · Replies 1 ·
What is the residue of a complex integral with a double pole at infinity?
- Dustinsfl
- · Replies 1 ·
Residue Calculus: Solving Integrals with Sinusoidal Functions
- Dustinsfl
- · Replies 1 ·
Graduate Can someone explain the need for Laurent series in complex analysis?
- Nikitin
- · Replies 10 ·
What is the definition of lim sup and how is it related to subsequential limits?
- alyafey22
- · Replies 1 ·
High School What is the Best Book on Complex Numbers for Beginners?
- rohit dutta
- · Replies 1 ·
Complete spaces and Cauchy sequences
- alyafey22
- · Replies 4 ·
Simplifying a Legendre polynomial
- Dustinsfl
- · Replies 2 ·
A curiosity about the Riemann Zeta Function....
- chisigma
- · Replies 10 ·
Neighbourhood of Convergence of Sequence
- Sudharaka
- · Replies 20 ·
Undergrad Maclaurin series of an elementary function question
- Crake
- · Replies 1 ·
Graduate How does the choice of branch cut affect the values of a multi-valued function?
- dipole
- · Replies 7 ·
Proving Divergence of $\cos(n)$ w/ Definition of Limits
- alyafey22
- · Replies 2 ·
Graduate All real numbers are complex numbers?And are I #'s orthogonal R#'s?
- nabeel17
- · Replies 7 ·
Graduate Compact embedding and dense embedding
- Tatianaoo
- · Replies 4 ·
Is A Measurable if the Inner and Outer Measures are Equal?
- ryo0071
- · Replies 3 ·