Topology and Analysis Forum

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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.
Undergrad Interior points proof where one set is a subset of the other
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Graduate How can I calculate this integral using contour integration?
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MHB Difficult Improper Integrals in Real Analysis.
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MHB Spivak's Proof Not Clear. Theorem 2.13
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MHB Logarithm and harmonic numbers
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MHB Which Real Root is Larger: x^8 = 8 - 10x^9 or x^10 = 8 - 10x^11?
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MHB Elementary Complex Number Problems
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Graduate Implicit function theorem for several complex variables
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Graduate Residue of Dirac delta function?
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MHB How Do You Compute the Inverse Laplace Transform of a Power Series?
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MHB What is the correct way to convert to polar form?
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MHB Prove Continuous Function of t: R^2 to R
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MHB Help Needed: Preparing for End-of-Semester Math Exam
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MHB Finding limsup & liminf of Sequence of Sets $A_n$
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MHB Find Complex Conjugate of 1/(1+e^(ix))
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Graduate Understanding Completeness of Fourier Basis
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MHB Find Laplace Transform of $ t^2+1)^2 $ without Expansion
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Graduate Denseness of bounded funtions in L^2?
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Graduate Please identify a series expansion
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Graduate Is the Real Field the Only Complete Ordered Field?
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MHB Compact Set Question: Counterexample Proved
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Undergrad Finding Interior Points in a Subset: Hints & Tips
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Undergrad Question on Taylor expansion of first order
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Graduate Is A a Measurable Set with Sandwich Property?
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MHB Mobius transformations - I don't get this example
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Undergrad Is 1/n - 1/(n+k) a Valid Example of a Cauchy Sequence?
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Graduate I want to show a difference of inner products is small
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MHB Discrete sets and uncountability of limit points
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MHB Proving limit of a given sequence
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MHB Point of convergence of a series
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Graduate Challenge 2: Covering the Triangle
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Graduate Challenge 3b: What's in a polynomial?
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MHB How to graph complex number fractions
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MHB Proving that the sum of 2 measurable functions is measurable
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Graduate Interchanging Linear Operator and Infinite Sum
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MHB Graph |z| > 3 on the Complex Plane: A Detailed Explanation
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MHB Transforming an integral of Exponential to a Contour
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Graduate Equivalence of Log and Argument for Complex Functions?
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MHB Is the continuous map property preserved under taking limit points?
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Graduate Solving the Integral of $\sin x/x$ with Lebesgue Dominated Convergence
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MHB Distance between Compact Subsets
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Graduate I don't understand this weight fact at all
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Graduate Proving Continuity of y^n Using Induction and the Definition of Continuity
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Graduate Proof of Continuity of y^2 | Real Analysis I Course
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MHB Understanding Mapping: Domain, Range & W Subset of C
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Graduate How Do Complex Numbers Extend the Real Number System?
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Graduate A briefing of Topology's most important definitions and results?
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Graduate Is an open map also a homeomorphism?
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Graduate Lebesgue Null Sets: Countable or Not?
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Graduate Measure theory question: Countable sub-additivity
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Graduate What does vanishing at infinity mean for a topological space?
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Graduate Dirac Delta Function: Definition & Mathematics
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MHB Proof of inequality involving circular and hyperbolic trig. functions
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Graduate The importance of sigma-algebras
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MHB Equation of a Circle in the Complex Plane
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Graduate Do Hilbert Space Isomorphism Map Dense Sets to Dense Sets?
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Graduate An inequality for a two variable function
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MHB Can Hölder's Inequality also be applied to other optimization problems?
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MHB About fractional parts and floor functions....
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Graduate Can infinity be defined rigorously?
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MHB Residue theorem to evaluate integrals
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Undergrad Need Help With Epsilon Neighbourhoods
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MHB Is There a Real Analysis Method to Solve Complex Integrals?
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Graduate What Does an Integral Mean in Mathematics?
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MHB Showing the bessel function is entire
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MHB Expanding to power series, and finding the Laurent Series
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Graduate Contour Deformation and Jordan's Lemma in Complex Analysis
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MHB Why is the integral of $\frac{1}{z+2}$ over $\gamma(0;1)$ equal to zero?
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MHB Find Conformal Map to Remove Semidisk | Solutions & Explanations
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MHB A Conjecture About Polynomials in Two Variables
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MHB Fourier Transform of a function squared.
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MHB Differentiability of a Complex Function
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MHB Fourier Cosine Series: Equivalence for {x}
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MHB Find Fourier Sin Series for f(x)=1, 0 < x < c
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MHB Fourier series--showing converges to pi/16
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Graduate Can a Perfect Set Contain an Open Subset?
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Undergrad How Does the Triangle Inequality Transform from Equality to Inequality?
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MHB Proving Equality in Real Numbers: The Case of a+b+c=abc
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Graduate How Do You Intuitively Understand a Topology?
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High School What Are Complex Numbers?
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Undergrad Wolfram Alpha: all 2nd roots of 1
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Graduate Hausdorff dimension of the cantor set
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Graduate Continuity of functions from ℝ→ℝ[sup]2[/sup]
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Graduate Other great books like Mathematical Transition by Chartrand
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Graduate Complex-Valued Functions, limits, and conjugates
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Undergrad Complex Numbers and Exponents: Is z^0 Always Equal to 1?
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Undergrad Complex Numbers: Defining an Ordered System
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Graduate Can't understand a proof in Rudin
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Graduate Topology of a mathematical plane
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Graduate Quadratic inequalities for complex variables?
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Undergrad Searching 4 graph optimization software
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Graduate Understanding the concept of every open set being a disjoint union
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Graduate Do open sets in R^2 always have continuous boundaries?
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MHB An integral representation of the Riemann zeta function
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MHB Geometric Puzzle: Find P & Q in R2 Square
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Graduate Why Are the Definitions of Hausdorff Dimension Equivalent?
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Graduate The pure-point subspace of a Hilbert space is closed
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MHB Finding the real and imaginary parts of a function
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MHB Can You Solve This Challenging Functional Equation?
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Graduate The nature of the dirac delta function
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