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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Operator norm --- Remarks by Browder After Lemma 8.4 ....
- Math Amateur
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Operator Norm for Linear Transformations: Browder Ch. 8, Section 8.1, Page 179
- Math Amateur
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Operator Norm .... differences between Browder and Field ....
- Math Amateur
- · Replies 2 ·
Undergrad Embedding homeomorphic manifolds
- Q-1
- · Replies 42 ·
The metrices are topologically but not strongly equivalent
- mathmari
- · Replies 10 ·
The Elusive Field Structure of $\mathbb{R}^n$ Beyond $n=2$
- Math Amateur
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How do I solve for a_3 in a complex Fourier series?
- Tan Thom
- · Replies 2 ·
Are the Metrics \(d_1\), \(d_2\), and \(d_{\infty}\) Strongly Equivalent?
- mathmari
- · Replies 4 ·
Is the relation between limit points and closed sets clear? (Wondering)
- mathmari
- · Replies 8 ·
Undergrad How Does Vector Subtraction Relate to Topology?
- doggydan42
- · Replies 19 ·
Proof that Arcsin x is continuous ....
- Math Amateur
- · Replies 3 ·
Differentiating Complex Square Root Function: Bruce P. Palka, Ex. 1.5, Ch. III
- Math Amateur
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Complex Square Root Function: Qs from Bruce P. Palka's Ex. 1.5, Ch. III
- Math Amateur
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Where Does the Sign of n Matter in Palka's Examples?
- Math Amateur
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How is Equation (1) Equivalent to the Derivative Definition in Theorem 7.1?
- Math Amateur
- · Replies 4 ·
Graduate DFT Meaning of k's Greetings: Understanding Wavelength & Interval Length
- SchroedingersLion
- · Replies 4 ·
Undergrad How to derive the Fourier transform of a comb function
- arcTomato
- · Replies 4 ·
Undergrad Help Solve Munkres Question: Limit Point Compact Subspace in Hausdorff Space
- facenian
- · Replies 8 ·
Undergrad Complex Fourier transform (represented by Σ)
- arcTomato
- · Replies 4 ·
Undergrad How do charts on differentiable manifolds have derivatives without a metric?
- jackferry
- · Replies 20 ·
Graduate Fourier transform and derivation
- arcTomato
- · Replies 7 ·
Undergrad Differentiable manifolds over fields other than R, C
- WWGD
- · Replies 13 ·
Verify Gamelin's Remark: Complex Square and Square Root Functions
- Math Amateur
- · Replies 3 ·
Show that there is no order relation on K
- mathmari
- · Replies 9 ·
Show that there exists a bijection
- mathmari
- · Replies 8 ·
Prove f is One-to-One: (a) and (b) | Help with Choosing Inverse Formula
- AutGuy98
- · Replies 2 ·
Undergrad Discrete Topology and Closed Sets
- joshthekid
- · Replies 12 ·
Undergrad What is wrong with this proof? (divergence of the harmonic series)
- BWV
- · Replies 6 ·
Complex Derivative .... Remark in Apostol, Section 16.1 .... ....
- Math Amateur
- · Replies 2 ·
Proof of an Infimum Being Equal to the Negative Form of a Supremum ()
- AutGuy98
- · Replies 2 ·
Undergrad Trouble with infinity and complex numbers
- Troxx
- · Replies 12 ·
High School Understanding the Quadratic Form Identity in Two-Variable Equations
- Heidi
- · Replies 6 ·
Understanding Differentiability and Continuity in Complex Analysis
- Math Amateur
- · Replies 2 ·
Upper and Lower Linits (lim sup and lim inf) - Denlinger, Theorem2.9.6 (b) ....
- Math Amateur
- · Replies 4 ·
Another Question on Upper and Lower Limits .... Denlinger, Theorem 2.9.6 (a)
- Math Amateur
- · Replies 2 ·
Proof of Sohrab's Proposition 2.2.39 (a) | Upper & Lower Limits
- Math Amateur
- · Replies 6 ·
Undergrad Assigning a value for integrating a divergent oscillatory function to infinity
- Swamp Thing
- · Replies 8 ·
Upper and Lower Linits (lim sup and lim inf) - Sohrab Proposition 2.2.39 (b) ....
- Math Amateur
- · Replies 2 ·
How Does Theorem 4.29 Illustrate Continuity Issues in Inverse Functions?
- Math Amateur
- · Replies 2 ·
Undergrad Different metrics in different dimensions
- Bob3141592
- · Replies 2 ·
Functions Continuous on Comapct Sets .... Apostol, Theorem 4.25 ....
- Math Amateur
- · Replies 2 ·
Limits of Complex Functions .... Zill & Shanahan, Theorem 3.1.1/ A1
- Math Amateur
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The Metric Space R^n and Sequences .... Remark by Carothers, page 47 ....
- Math Amateur
- · Replies 6 ·
Graduate How Does the Chain Rule Apply to Pushforwards in Differential Geometry?
- sanad
- · Replies 7 ·
Carothers' Definitions: Neighborhoods, Open Sets, and Open Balls
- Math Amateur
- · Replies 2 ·
Understand Example 3.10 (b) Karl R. Stromberg, Chapter 3: Limits & Continuity
- Math Amateur
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Open Balls in a Normed Vector Space .... Carothers, Exercise 32
- Math Amateur
- · Replies 4 ·
Undergrad Division of a complex number by zero
- dyn
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Neighbourhoods and Open Neighbourhoods .... Browder, Proposition 6.8 .... ....
- Math Amateur
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Baire Category Theorem .... Stromberg, Theorem 3.55 .... ....
- Math Amateur
- · Replies 7 ·
Graduate Baire Category Theorem .... Stromberg, Theorem 3.55 .... ....
- Math Amateur
- · Replies 5 ·
Understanding Topology: Closure, Boundary & Open/Closed Sets
- Math Amateur
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Graduate Fourier Series = Re(Power Series)
- joeblow
- · Replies 3 ·
Why is \( c'' \) an Upper Bound for \( U \cap [a, b] \) in Theorem 3.47?
- Math Amateur
- · Replies 2 ·
Equivalent Statements to COmpactness .... Stromberg, Theorem 3.43 .... ....
- Math Amateur
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Graduate General formula for lenses without spherical abberation
- mfb
- · Replies 3 ·
Maximum Likelihood Estimation Formula Simplification and Solution for p?
- SheepLon
- · Replies 5 ·
Countably Dense Subsets in a Metric Space .... Stromberg, Lemma 3.44 .... ....
- Math Amateur
- · Replies 2 ·
Heine-Borel Theorem in R^n .... Stromberg, Theorem 3.40 .... ....
- Math Amateur
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Compact Topological Spaces .... Stromberg, Theorem 3.36 .... ....
- Math Amateur
- · Replies 5 ·
Proving a limit to infinity using epsilon-delta
- brooklysuse
- · Replies 3 ·
Compact Topological Spaces .... Stromberg, Example 3.34 (c) .... ....
- Math Amateur
- · Replies 2 ·
Open Subsets in a Metric Space .... Stromberg, Theorem 3.6 ... ....
- Math Amateur
- · Replies 3 ·
Finding Cluster Points/Accumulation Points
- brooklysuse
- · Replies 2 ·
Why is the Series Absolutely Convergent for Sequences in l^2(N)?
- Math Amateur
- · Replies 2 ·
Undergrad Continuity and Open Sets .... Sohrab, Theorem 4.3.4 .... ....
- Math Amateur
- · Replies 3 ·
Heine-Borel Theorem .... Sohrab, Theorem 4.1.10 .... ....
- Math Amateur
- · Replies 2 ·
Closed and Bounded Intervals are Compact .... Sohrab, Propostion 4.1.9 .... ....
- Math Amateur
- · Replies 3 ·
Undergrad Compact Subsets of R .... Sohrab, Proposition 4.1.8 .... ....
- Math Amateur
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Compact Subsets of R .... Sohrab, Proposition 4.1.8 .... ....
- Math Amateur
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Graduate Fractional Calculus and Residues
- Harrisonized
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Compact Subsets of R .... Sohrab, Proposition 4.1.1 (Lindelof)
- Math Amateur
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Undergrad Compact Subsets of R .... Sohrab, Proposition 4.1.1 (Lindelof) ....
- Math Amateur
- · Replies 8 ·
Graduate Functional differentiability: Frechet, but not Hadamard?
- Testguy
- · Replies 1 ·
Graduate A question about the proof of the simple approximation lemma
- Artusartos
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Lindelof Covering Theorem .... Apostol, Theorem 3.28 ....
- Math Amateur
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Undergrad Lindelof Covering Theorem .... Apostol, Theorem 3.28 ....
- Math Amateur
- · Replies 2 ·
Graduate Mapping of algebraic function to Riemann surface?
- jackmell
- · Replies 1 ·
Graduate CW complex for infinite holed torus? (Surface of infinite genus)
- dumbQuestion
- · Replies 1 ·
Graduate Topology: Munkres - Urysohn lemma
- Fisicks
- · Replies 1 ·
Graduate Identifying Compact Sets in the Slitted and Moore Planes: What's the Method?
- ForMyThunder
- · Replies 1 ·
Graduate Does SU(2) Commutativity Conflict with Its Non-Euclidean Structure?
- Kontilera
- · Replies 1 ·
Graduate Is the Integral Inequality Possible to Prove for Certain Parameters?
- amirmath
- · Replies 1 ·
Graduate Inquiry: Wavelet factorisation / Daubechies method /
- MednataMiza
- · Replies 1 ·
Graduate Two definitions of locally compact
- Fredrik
- · Replies 1 ·
Graduate How to Estimate the Operator Norm ||A||_2 for a Difference Operator?
- Max Fleiss
- · Replies 1 ·
The Number e .... Another Issue/Problem Regarding Sohrab Proposition 2.3.15 ....
- Math Amateur
- · Replies 2 ·
The Number e .... Another Question Regarding Sohrab Proposition 2.3.15 ....
- Math Amateur
- · Replies 4 ·
Proposition 2.3.15: Understanding Sohrab's Basic Real Analysis Proof
- Math Amateur
- · Replies 2 ·
Undergrad The Number e .... Sohrab Proposition 2.3.15 ....
- Math Amateur
- · Replies 2 ·
Graduate Proof of the L'Hôpital Rule for the Indeterminate Form
- 3.1415926535
- · Replies 2 ·
First Comparison Test for Series .... Sohrab Theorem 2.3.9 ....
- Math Amateur
- · Replies 2 ·
Graduate Is it related to measure theory - Help
- woundedtiger4
- · Replies 1 ·
Graduate The correct domain of self-adjointness for the Laplacian
- AxiomOfChoice
- · Replies 1 ·
Graduate How to generalize Newtonian and Lagrangian mechanics
- jostpuur
- · Replies 1 ·
Infinite Series .... Sohrab Exercise 2.3.10 (1) .... ....
- Math Amateur
- · Replies 2 ·
Graduate Residue Proof of Fourier's Theorem Dirichlet Conditions
- bolbteppa
- · Replies 1 ·
Graduate Question about bounded functions
- pamparana
- · Replies 1 ·
Absolute and Conditional Convergence .... Sohrab Proposition 2.3.22 ....
- Math Amateur
- · Replies 5 ·
Graduate Can the Fejér Kernel Be Approximated by Polynomials?
- Vannel
- · Replies 1 ·