Topology and Analysis Forum

Post thread
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.
MHB Sammy's question at Yahoo Answers (Laurent expansion)
  • · Replies 1 ·
Replies
1
Views
3K
MHB Real Solutions for Equation |x-|x-|x-4||| = a
  • · Replies 2 ·
Replies
2
Views
2K
MHB Bounded linear functional question? Real Analysis
  • · Replies 3 ·
Replies
3
Views
2K
MHB What is the Value of A in a Complex Mathematical Expression?
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad What Are the Merits of the Laplace Transform?
  • · Replies 3 ·
Replies
3
Views
2K
MHB G3popstar's question at Yahoo Answers (Principal value of i^i)
  • · Replies 1 ·
Replies
1
Views
1K
MHB Fixed point for a complex mapping.
  • · Replies 1 ·
Replies
1
Views
3K
MHB 3 questions about iterated integral
  • · Replies 2 ·
Replies
2
Views
2K
MHB Calculating an integral norm in L2
  • · Replies 1 ·
Replies
1
Views
5K
MHB What is the Countable Union of Countable Sets?
  • · Replies 1 ·
Replies
1
Views
2K
MHB Vanessa 's question at Yahoo Answers ( R^2-{(0,0)} homeomorphic to S^1 x R )
  • · Replies 1 ·
Replies
1
Views
2K
MHB Looking for a Problem Book in Real Analysis?
  • · Replies 10 ·
Replies
10
Views
5K
Graduate Is the Equality of Integral of Complex Conjugates Always True?
  • · Replies 3 ·
Replies
3
Views
2K
Graduate Function Spaces C^k: Understanding Facts
  • · Replies 3 ·
Replies
3
Views
2K
MHB How Can Fourier Coefficients Help Solve Infinite Series Problems?
  • · Replies 9 ·
Replies
9
Views
3K
Graduate Questions about Derivatives and Continuity.
  • · Replies 5 ·
Replies
5
Views
2K
Graduate Role of real & functional analysis in physics?
  • · Replies 13 ·
Replies
13
Views
12K
MHB What is the Explanation for the Intermediate Value Theorem 2 Proof?
  • · Replies 2 ·
Replies
2
Views
2K
Graduate Recommend book to follow Introduction to Analysis by Rosenlicht
  • · Replies 2 ·
Replies
2
Views
3K
MHB Prove Zeros & Poles of Meromorphic Function Have No Limit Point
  • · Replies 2 ·
Replies
2
Views
2K
Graduate What good are rigged hilbert spaces?
  • · Replies 8 ·
Replies
8
Views
3K
Graduate How to tell if a space is NOT a covering space of another
  • · Replies 3 ·
Replies
3
Views
2K
Graduate Alternative Proof of Cauchy Sequence ##\left(S_n\right) = \frac{1}{n}##
  • · Replies 3 ·
Replies
3
Views
3K
Graduate Can a nontrivial quotient space of R be homeomorphic to R?
  • · Replies 4 ·
Replies
4
Views
3K
Undergrad Someone posted this on Facebook. Is it true?
  • · Replies 12 ·
Replies
12
Views
3K
Graduate Find Analytic Function F: Cauchy-Riemann Eqns
  • · Replies 3 ·
Replies
3
Views
3K
MHB Proof of Theorem (0.2): Questions to Ask
  • · Replies 3 ·
Replies
3
Views
2K
Graduate Computing lebesgue number for an open covering
  • · Replies 2 ·
Replies
2
Views
3K
Graduate What is the proof for the isomorphism between the open interval (0, 1) and ℝ?
  • · Replies 8 ·
Replies
8
Views
7K
MHB Proving sin⁻¹(ix): 2nπ ± i log (√1+x²+x)
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Evenly distributed points on a sphere
  • · Replies 3 ·
Replies
3
Views
10K
Graduate How Does Modern Mathematics Prove the Pythagorean Theorem?
  • · Replies 1 ·
Replies
1
Views
2K
MHB Riemann integrable then J-integrable
  • · Replies 1 ·
Replies
1
Views
1K
MHB Riemann integral is zero for certain sets
  • · Replies 1 ·
Replies
1
Views
1K
Undergrad Looking for Material on Wavelets
  • · Replies 2 ·
Replies
2
Views
2K
Graduate Cauchy schwarz inequality in Rudin
  • · Replies 1 ·
Replies
1
Views
4K
Graduate Open sets and cartesian products
  • · Replies 9 ·
Replies
9
Views
4K
MHB Prove the following dilogarithmic value
  • · Replies 8 ·
Replies
8
Views
2K
Graduate Convergence of Sequence ##(p_n)## to ##p##
  • · Replies 4 ·
Replies
4
Views
3K
Undergrad What is the Intuitive Explanation for the Definition of Convergence?
  • · Replies 4 ·
Replies
4
Views
4K
Graduate A problem from finite element book
  • · Replies 7 ·
Replies
7
Views
3K
Graduate Can Lp functions for 1<p<2 be written as the sum of L1 and L2 functions?
  • · Replies 2 ·
Replies
2
Views
2K
MHB Sequence of continuous functions convergent to an increasing real function
  • · Replies 9 ·
Replies
9
Views
3K
MHB How to Find the Differential of a Function at a Specific Point?
  • · Replies 5 ·
Replies
5
Views
2K
Graduate Is S a closed subset of ℝ^n if it is compact?
  • · Replies 13 ·
Replies
13
Views
4K
Graduate Is My Proof That sup(AB) = supA*supB Correct and How Should I Format My TEX?
  • · Replies 1 ·
Replies
1
Views
13K
MHB Prove the following zeta property :
  • · Replies 2 ·
Replies
2
Views
2K
Graduate Understanding Rudin Theorem 1.20 (b): Integers and Real Numbers Explained
  • · Replies 2 ·
Replies
2
Views
4K
MHB Billy 's question at Yahoo Answers (Complex analysis)
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Graphs of Continuous Functions and the Subspace Topology
  • · Replies 1 ·
Replies
1
Views
3K
MHB Evaluating Contour Integral $f(z)$ Around $|z|=1$ Circle
  • · Replies 1 ·
Replies
1
Views
2K
MHB Find a closed form interpretation for the integral :
  • · Replies 2 ·
Replies
2
Views
2K
Graduate The Cauchy-Goursat Theorem and Contour Integrals
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Why the figure of eight is not a manifold?
  • · Replies 3 ·
Replies
3
Views
5K
Graduate Finding the Limit of Sequence (1/n) with Detailed Criticism
  • · Replies 2 ·
Replies
2
Views
3K
MHB How Does the Schwarz Inequality Apply to Fourier Coefficients in C[-pi, pi]?
  • · Replies 3 ·
Replies
3
Views
2K
Graduate Theorem Reminder: Integral of $\phi$ Over [0,1]
  • · Replies 8 ·
Replies
8
Views
2K
Graduate Complex Analysis: What Does |C| Mean?
  • · Replies 5 ·
Replies
5
Views
2K
Graduate What does it mean for a wave to have an imaginary part?
  • · Replies 7 ·
Replies
7
Views
21K
MHB Use the inverse function theorem to estimate the change in the roots
  • · Replies 2 ·
Replies
2
Views
2K
MHB Co-norm of an invertible linear transformation on R^n
  • · Replies 1 ·
Replies
1
Views
2K
MHB How can I optimize numerical approximation with fewer samples?
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Fundamental Group of a Cayley Graph
  • · Replies 3 ·
Replies
3
Views
3K
Graduate Taking the natural logarithm of e^(2i*pi)
  • · Replies 2 ·
Replies
2
Views
2K
MHB A second complex analysis question
  • · Replies 13 ·
Replies
13
Views
5K
Graduate Find where a complex function is differentiable
  • · Replies 1 ·
Replies
1
Views
2K
MHB Discontinuous and continuous functions
  • · Replies 4 ·
Replies
4
Views
3K
Graduate Are measurable sets open or closed?
  • · Replies 14 ·
Replies
14
Views
5K
Graduate Differentiability of Monotone Function's: Lebesgue's Theorem
  • · Replies 5 ·
Replies
5
Views
3K
MHB Why Is the Real Part of \( z^{1/2} \) Positive?
  • · Replies 1 ·
Replies
1
Views
2K
MHB Find a Mobius Transformation to Map Real Line to Unit Circle
  • · Replies 4 ·
Replies
4
Views
4K
MHB Solving Complex Analysis: Find z for z^(1+4i) = i
  • · Replies 6 ·
Replies
6
Views
3K
Graduate Interpolation of Infinitely Many Points
  • · Replies 1 ·
Replies
1
Views
2K
High School Proof that if cos(x+y)=cos(x), then y=2*pi*k?
  • · Replies 3 ·
Replies
3
Views
3K
Graduate Can You Shift a Circle in the Complex Plane to Center at 2i?
  • · Replies 3 ·
Replies
3
Views
3K
Undergrad Subsequential Limit of a Sequence
  • · Replies 2 ·
Replies
2
Views
3K
MHB A proof about maximum point, critical point and differentiation
  • · Replies 1 ·
Replies
1
Views
3K
Graduate Compact linear operator in simple terms?
  • · Replies 8 ·
Replies
8
Views
4K
MHB Quick modulus question - complex exponential function
  • · Replies 3 ·
Replies
3
Views
3K
Graduate Writing a function of x and y as a function of z
  • · Replies 6 ·
Replies
6
Views
8K
MHB Digamma function and Harmonic numbers
  • · Replies 12 ·
Replies
12
Views
4K
Graduate Continuity of Measure ( I Think)
  • · Replies 2 ·
Replies
2
Views
2K
MHB Analysis of Image superimposing using numerical analysis
  • · Replies 2 ·
Replies
2
Views
2K
MHB Fermat's theorem (stationary points) of higher dimensions
  • · Replies 6 ·
Replies
6
Views
4K
MHB Principal value of complex number
  • · Replies 2 ·
Replies
2
Views
5K
Graduate Using the V-K Thm to find fundamental grp of sphere union disk in R3
  • · Replies 1 ·
Replies
1
Views
3K
MHB How do I find the integral of t^{x-1} e^{-t} from 0 to 1?
  • · Replies 5 ·
Replies
5
Views
2K
Graduate Boundary of a Mobius band - I think S1 V S1, everyone else says S1?
  • · Replies 1 ·
Replies
1
Views
3K
Graduate Inverses of asymptotic functions
  • · Replies 3 ·
Replies
3
Views
2K
Graduate Does the set (z^n ; n\in N) span L^2[0,1]?
  • · Replies 5 ·
Replies
5
Views
2K
Graduate Munkres states that equicontinuity depends on metrics
  • · Replies 3 ·
Replies
3
Views
2K
Graduate How does the diameter of a closure relate to isolated points in Rudin's book?
  • · Replies 6 ·
Replies
6
Views
5K
Undergrad How Can I Express This Function with a Complex Square Root Term?
  • · Replies 7 ·
Replies
7
Views
2K
Graduate Understanding Sup of Sequence: S_n
  • · Replies 8 ·
Replies
8
Views
3K
Graduate Fundamental polygon of a Mobius strip
  • · Replies 6 ·
Replies
6
Views
5K
Graduate Logic Flawed? Is Rn Homotopic to Rm
  • · Replies 9 ·
Replies
9
Views
4K
MHB Find $A_0$ in Root Mean Square & Parseval's Theorem
  • · Replies 3 ·
Replies
3
Views
3K
MHB Understanding the Intriguing $\pi/2$ Integral Result
  • · Replies 5 ·
Replies
5
Views
2K
MHB How Does the Triangle Inequality Apply to Complex Numbers?
  • · Replies 3 ·
Replies
3
Views
2K
Graduate Number of topologies on a 3-point set
  • · Replies 8 ·
Replies
8
Views
6K