Topology and Analysis Forum

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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Threads

Undergrad How can a Lissajous Curve be represented in 3D?

  • tejolson
  • · Replies 3 ·
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3

Graduate Ker[cos(x)] Analysis: \pi \mathbb{Z} ± π/2

  • Bachelier
  • · Replies 2 ·
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2

Graduate Why Did Rudin Use Absolute Value When Calculating the Derivative?

  • Bachelier
  • · Replies 4 ·
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4

Graduate Bernoulli's Rule: Existence of a Point c in (a,b)

  • Bachelier
  • · Replies 2 ·
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2

Graduate Rudin Proof of Liouville Theorem (Complex A.)

  • Bachelier
  • · Replies 3 ·
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3

Graduate Can an additive function be nonlinear without AC?

  • lugita15
  • · Replies 5 ·
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5

Undergrad Vector Calculus by Marsden and Tromba vs. Vector Analysis by Brand

  • MechanicalEngr
  • · Replies 2 ·
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2

Wedge product and change of variables

  • i_a_n
  • · Replies 1 ·
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1

Graduate Given a metric space (X,d), the set X is open in X. HELP

  • MechanicalEngr
  • · Replies 5 ·
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5

Sammy's question at Yahoo Answers (Laurent expansion)

  • Fernando Revilla
  • · Replies 1 ·
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1

Real Solutions for Equation |x-|x-|x-4||| = a

  • anemone
  • · Replies 2 ·
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2

Bounded linear functional question? Real Analysis

  • Juliayaho
  • · Replies 3 ·
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3

What is the Value of A in a Complex Mathematical Expression?

  • Albert1
  • · Replies 2 ·
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2

Undergrad What Are the Merits of the Laplace Transform?

  • IxRxPhysicist
  • · Replies 3 ·
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3

G3popstar's question at Yahoo Answers (Principal value of i^i)

  • Fernando Revilla
  • · Replies 1 ·
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1

Fixed point for a complex mapping.

  • ob1st
  • · Replies 1 ·
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1

3 questions about iterated integral

  • i_a_n
  • · Replies 2 ·
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2

Calculating an integral norm in L2

  • hmmmmm
  • · Replies 1 ·
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1

What is the Countable Union of Countable Sets?

  • dlee
  • · Replies 1 ·
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1

Vanessa 's question at Yahoo Answers ( R^2-{(0,0)} homeomorphic to S^1 x R )

  • Fernando Revilla
  • · Replies 1 ·
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1

Looking for a Problem Book in Real Analysis?

  • caffeinemachine
  • · Replies 10 ·
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10

Graduate Is the Equality of Integral of Complex Conjugates Always True?

  • EngWiPy
  • · Replies 3 ·
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3

Graduate Function Spaces C^k: Understanding Facts

  • Bachelier
  • · Replies 3 ·
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3

How Can Fourier Coefficients Help Solve Infinite Series Problems?

  • Poirot1
  • · Replies 9 ·
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9

Graduate Questions about Derivatives and Continuity.

  • Bachelier
  • · Replies 5 ·
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5

Graduate Role of real & functional analysis in physics?

  • Fizicks1
  • · Replies 13 ·
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13

What is the Explanation for the Intermediate Value Theorem 2 Proof?

  • solakis1
  • · Replies 2 ·
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2

Graduate Recommend book to follow Introduction to Analysis by Rosenlicht

  • MechanicalEngr
  • · Replies 2 ·
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2

Prove Zeros & Poles of Meromorphic Function Have No Limit Point

  • Amer
  • · Replies 2 ·
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2

Graduate What good are rigged hilbert spaces?

  • jostpuur
  • · Replies 8 ·
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8

Graduate How to tell if a space is NOT a covering space of another

  • dumbQuestion
  • · Replies 3 ·
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3

Graduate Alternative Proof of Cauchy Sequence ##\left(S_n\right) = \frac{1}{n}##

  • Bachelier
  • · Replies 3 ·
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3

Graduate Can a nontrivial quotient space of R be homeomorphic to R?

  • lugita15
  • · Replies 4 ·
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4

Undergrad Someone posted this on Facebook. Is it true?

  • Jamin2112
  • · Replies 12 ·
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12

Graduate Find Analytic Function F: Cauchy-Riemann Eqns

  • morganmkm
  • · Replies 3 ·
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3

Proof of Theorem (0.2): Questions to Ask

  • solakis1
  • · Replies 3 ·
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3

Graduate Computing lebesgue number for an open covering

  • Useful nucleus
  • · Replies 2 ·
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2

Graduate What is the proof for the isomorphism between the open interval (0, 1) and ℝ?

  • Bachelier
  • · Replies 8 ·
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8

Proving sin⁻¹(ix): 2nπ ± i log (√1+x²+x)

  • Suvadip
  • · Replies 1 ·
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1

Graduate Evenly distributed points on a sphere

  • Mike_In_Plano
  • · Replies 3 ·
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3

Graduate How Does Modern Mathematics Prove the Pythagorean Theorem?

  • Someone2841
  • · Replies 1 ·
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1

Riemann integrable then J-integrable

  • i_a_n
  • · Replies 1 ·
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1

Riemann integral is zero for certain sets

  • i_a_n
  • · Replies 1 ·
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1

Undergrad Looking for Material on Wavelets

  • stephenkeiths
  • · Replies 2 ·
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2

Graduate Cauchy schwarz inequality in Rudin

  • joecharland
  • · Replies 1 ·
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1

Graduate Open sets and cartesian products

  • bedi
  • · Replies 9 ·
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9

Prove the following dilogarithmic value

  • alyafey22
  • · Replies 8 ·
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8

Graduate Convergence of Sequence ##(p_n)## to ##p##

  • Bachelier
  • · Replies 4 ·
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4

Undergrad What is the Intuitive Explanation for the Definition of Convergence?

  • Astrum
  • · Replies 4 ·
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4

Graduate A problem from finite element book

  • ericm1234
  • · Replies 7 ·
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7

Graduate Can Lp functions for 1<p<2 be written as the sum of L1 and L2 functions?

  • jpriori
  • · Replies 2 ·
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2
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9

How to Find the Differential of a Function at a Specific Point?

  • Poirot1
  • · Replies 5 ·
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5

Graduate Is S a closed subset of ℝ^n if it is compact?

  • bedi
  • · Replies 13 ·
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13

Graduate Is My Proof That sup(AB) = supA*supB Correct and How Should I Format My TEX?

  • joecharland
  • · Replies 1 ·
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1

Prove the following zeta property :

  • alyafey22
  • · Replies 2 ·
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2

Graduate Understanding Rudin Theorem 1.20 (b): Integers and Real Numbers Explained

  • Dschumanji
  • · Replies 2 ·
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2

Billy 's question at Yahoo Answers (Complex analysis)

  • Fernando Revilla
  • · Replies 1 ·
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1

Graduate Graphs of Continuous Functions and the Subspace Topology

  • BrainHurts
  • · Replies 1 ·
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1

Evaluating Contour Integral $f(z)$ Around $|z|=1$ Circle

  • polygamma
  • · Replies 1 ·
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1

Find a closed form interpretation for the integral :

  • alyafey22
  • · Replies 2 ·
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2

Graduate The Cauchy-Goursat Theorem and Contour Integrals

  • Bachelier
  • · Replies 1 ·
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1

Graduate Why the figure of eight is not a manifold?

  • maxverywell
  • · Replies 3 ·
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3

Graduate Finding the Limit of Sequence (1/n) with Detailed Criticism

  • Someone2841
  • · Replies 2 ·
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2
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3

Graduate Theorem Reminder: Integral of $\phi$ Over [0,1]

  • Bachelier
  • · Replies 8 ·
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8

Graduate Complex Analysis: What Does |C| Mean?

  • Bachelier
  • · Replies 5 ·
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5

Graduate What does it mean for a wave to have an imaginary part?

  • IronHamster
  • · Replies 7 ·
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7

Use the inverse function theorem to estimate the change in the roots

  • i_a_n
  • · Replies 2 ·
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2

Co-norm of an invertible linear transformation on R^n

  • i_a_n
  • · Replies 1 ·
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1

How can I optimize numerical approximation with fewer samples?

  • galc81
  • · Replies 1 ·
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1

Graduate Fundamental Group of a Cayley Graph

  • Monobrow
  • · Replies 3 ·
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3

Graduate Taking the natural logarithm of e^(2i*pi)

  • rustynail
  • · Replies 2 ·
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2

A second complex analysis question

  • Tranquillity
  • · Replies 13 ·
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13

Graduate Find where a complex function is differentiable

  • boogiewithstu
  • · Replies 1 ·
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1

Discontinuous and continuous functions

  • Carla1985
  • · Replies 4 ·
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4

Graduate Are measurable sets open or closed?

  • friend
  • · Replies 14 ·
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14

Graduate Differentiability of Monotone Function's: Lebesgue's Theorem

  • Artusartos
  • · Replies 5 ·
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5

Why Is the Real Part of \( z^{1/2} \) Positive?

  • Amer
  • · Replies 1 ·
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1

Find a Mobius Transformation to Map Real Line to Unit Circle

  • Amer
  • · Replies 4 ·
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4

Solving Complex Analysis: Find z for z^(1+4i) = i

  • Tranquillity
  • · Replies 6 ·
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6

Graduate Interpolation of Infinitely Many Points

  • l'Hôpital
  • · Replies 1 ·
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1

High School Proof that if cos(x+y)=cos(x), then y=2*pi*k?

  • suckmyfish1
  • · Replies 3 ·
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3

Graduate Can You Shift a Circle in the Complex Plane to Center at 2i?

  • ericm1234
  • · Replies 3 ·
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3

Undergrad Subsequential Limit of a Sequence

  • bphys
  • · Replies 2 ·
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2

A proof about maximum point, critical point and differentiation

  • i_a_n
  • · Replies 1 ·
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1

Graduate Compact linear operator in simple terms?

  • mikeph
  • · Replies 8 ·
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8

Quick modulus question - complex exponential function

  • buckylomax
  • · Replies 3 ·
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3

Graduate Writing a function of x and y as a function of z

  • ericm1234
  • · Replies 6 ·
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6

Digamma function and Harmonic numbers

  • alyafey22
  • · Replies 12 ·
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12

Graduate Continuity of Measure ( I Think)

  • WWGD
  • · Replies 2 ·
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2

Analysis of Image superimposing using numerical analysis

  • saugata bose
  • · Replies 2 ·
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2

Fermat's theorem (stationary points) of higher dimensions

  • i_a_n
  • · Replies 6 ·
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6

Principal value of complex number

  • Suvadip
  • · Replies 2 ·
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2

Graduate Using the V-K Thm to find fundamental grp of sphere union disk in R3

  • at123
  • · Replies 1 ·
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1

How do I find the integral of t^{x-1} e^{-t} from 0 to 1?

  • Alone
  • · Replies 5 ·
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5

Graduate Boundary of a Mobius band - I think S1 V S1, everyone else says S1?

  • dumbQuestion
  • · Replies 1 ·
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1

Graduate Inverses of asymptotic functions

  • Palafox
  • · Replies 3 ·
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3

Graduate Does the set (z^n ; n\in N) span L^2[0,1]?

  • LikeMath
  • · Replies 5 ·
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5

Graduate Munkres states that equicontinuity depends on metrics

  • sammycaps
  • · Replies 3 ·
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3