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Differential Geometry

Do non-orthogonal coordinate systems mean dependent coordinates?
4.6K threads
Undergrad Do non-orthogonal coordinate systems mean dependent coordinates?
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
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Undergrad Embedding homeomorphic manifolds
  • Q-1
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2
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42
The metrices are topologically but not strongly equivalent
  • mathmari
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10
The Elusive Field Structure of $\mathbb{R}^n$ Beyond $n=2$
  • Math Amateur
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3
How do I solve for a_3 in a complex Fourier series?
  • Tan Thom
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2
Are the Metrics \(d_1\), \(d_2\), and \(d_{\infty}\) Strongly Equivalent?
  • mathmari
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4
Is the relation between limit points and closed sets clear? (Wondering)
  • mathmari
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8
Undergrad How Does Vector Subtraction Relate to Topology?
  • doggydan42
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19
Proof that Arcsin x is continuous ....
  • Math Amateur
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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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2
How is Equation (1) Equivalent to the Derivative Definition in Theorem 7.1?
  • Math Amateur
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4
Graduate DFT Meaning of k's Greetings: Understanding Wavelength & Interval Length
  • SchroedingersLion
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4
Undergrad How to derive the Fourier transform of a comb function
  • arcTomato
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4
Undergrad Help Solve Munkres Question: Limit Point Compact Subspace in Hausdorff Space
  • facenian
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8
Undergrad Complex Fourier transform (represented by Σ)
  • arcTomato
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4
Undergrad How do charts on differentiable manifolds have derivatives without a metric?
  • jackferry
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20
Graduate Fourier transform and derivation
  • arcTomato
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7
Undergrad Differentiable manifolds over fields other than R, C
  • WWGD
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13
Verify Gamelin's Remark: Complex Square and Square Root Functions
  • Math Amateur
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3
Show that there is no order relation on K
  • mathmari
  • · Replies 9 ·
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9
Show that there exists a bijection
  • mathmari
  • · Replies 8 ·
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8
Prove f is One-to-One: (a) and (b) | Help with Choosing Inverse Formula
  • AutGuy98
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2
Undergrad Discrete Topology and Closed Sets
  • joshthekid
  • · Replies 12 ·
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12
Undergrad What is wrong with this proof? (divergence of the harmonic series)
  • BWV
  • · Replies 6 ·
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6
Complex Derivative .... Remark in Apostol, Section 16.1 .... ....
  • Math Amateur
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2
Proof of an Infimum Being Equal to the Negative Form of a Supremum ()
  • AutGuy98
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2
Undergrad Trouble with infinity and complex numbers
  • Troxx
  • · Replies 12 ·
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12
High School Understanding the Quadratic Form Identity in Two-Variable Equations
  • Heidi
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6
Understanding Differentiability and Continuity in Complex Analysis
  • Math Amateur
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2
Upper and Lower Linits (lim sup and lim inf) - Denlinger, Theorem2.9.6 (b) ....
  • Math Amateur
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4
Another Question on Upper and Lower Limits .... Denlinger, Theorem 2.9.6 (a)
  • Math Amateur
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2
Proof of Sohrab's Proposition 2.2.39 (a) | Upper & Lower Limits
  • Math Amateur
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6
Undergrad Assigning a value for integrating a divergent oscillatory function to infinity
  • Swamp Thing
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8
Upper and Lower Linits (lim sup and lim inf) - Sohrab Proposition 2.2.39 (b) ....
  • Math Amateur
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2
How Does Theorem 4.29 Illustrate Continuity Issues in Inverse Functions?
  • Math Amateur
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2
Undergrad Different metrics in different dimensions
  • Bob3141592
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2
Functions Continuous on Comapct Sets .... Apostol, Theorem 4.25 ....
  • Math Amateur
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2
Limits of Complex Functions .... Zill & Shanahan, Theorem 3.1.1/ A1
  • Math Amateur
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3
The Metric Space R^n and Sequences .... Remark by Carothers, page 47 ....
  • Math Amateur
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6
Graduate How Does the Chain Rule Apply to Pushforwards in Differential Geometry?
  • sanad
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7
Carothers' Definitions: Neighborhoods, Open Sets, and Open Balls
  • Math Amateur
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2
Understand Example 3.10 (b) Karl R. Stromberg, Chapter 3: Limits & Continuity
  • Math Amateur
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2
Open Balls in a Normed Vector Space .... Carothers, Exercise 32
  • Math Amateur
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4
Undergrad Division of a complex number by zero
  • dyn
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7
Neighbourhoods and Open Neighbourhoods .... Browder, Proposition 6.8 .... ....
  • Math Amateur
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3
Baire Category Theorem .... Stromberg, Theorem 3.55 .... ....
  • Math Amateur
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Graduate Baire Category Theorem .... Stromberg, Theorem 3.55 .... ....
  • Math Amateur
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5
Understanding Topology: Closure, Boundary & Open/Closed Sets
  • Math Amateur
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2
Graduate Fourier Series = Re(Power Series)
  • joeblow
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3
Why is \( c'' \) an Upper Bound for \( U \cap [a, b] \) in Theorem 3.47?
  • Math Amateur
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2
Equivalent Statements to COmpactness .... Stromberg, Theorem 3.43 .... ....
  • Math Amateur
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2
Graduate General formula for lenses without spherical abberation
  • mfb
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3
Maximum Likelihood Estimation Formula Simplification and Solution for p?
  • SheepLon
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5
Countably Dense Subsets in a Metric Space .... Stromberg, Lemma 3.44 .... ....
  • Math Amateur
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Heine-Borel Theorem in R^n .... Stromberg, Theorem 3.40 .... ....
  • Math Amateur
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2
Compact Topological Spaces .... Stromberg, Theorem 3.36 .... ....
  • Math Amateur
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5
Proving a limit to infinity using epsilon-delta
  • brooklysuse
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3
Compact Topological Spaces .... Stromberg, Example 3.34 (c) .... ....
  • Math Amateur
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Open Subsets in a Metric Space .... Stromberg, Theorem 3.6 ... ....
  • Math Amateur
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3
Finding Cluster Points/Accumulation Points
  • brooklysuse
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2
Why is the Series Absolutely Convergent for Sequences in l^2(N)?
  • Math Amateur
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2
Undergrad Continuity and Open Sets .... Sohrab, Theorem 4.3.4 .... ....
  • Math Amateur
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3
Heine-Borel Theorem .... Sohrab, Theorem 4.1.10 .... ....
  • Math Amateur
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Closed and Bounded Intervals are Compact .... Sohrab, Propostion 4.1.9 .... ....
  • Math Amateur
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Undergrad Compact Subsets of R .... Sohrab, Proposition 4.1.8 .... ....
  • Math Amateur
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3
Compact Subsets of R .... Sohrab, Proposition 4.1.8 .... ....
  • Math Amateur
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2
Graduate Fractional Calculus and Residues
  • Harrisonized
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2
Compact Subsets of R .... Sohrab, Proposition 4.1.1 (Lindelof)
  • Math Amateur
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4
Undergrad Compact Subsets of R .... Sohrab, Proposition 4.1.1 (Lindelof) ....
  • Math Amateur
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8
Graduate Functional differentiability: Frechet, but not Hadamard?
  • Testguy
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1
Graduate A question about the proof of the simple approximation lemma
  • Artusartos
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1
Lindelof Covering Theorem .... Apostol, Theorem 3.28 ....
  • Math Amateur
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2
Undergrad Lindelof Covering Theorem .... Apostol, Theorem 3.28 ....
  • Math Amateur
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2
Graduate Mapping of algebraic function to Riemann surface?
  • jackmell
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1
Graduate CW complex for infinite holed torus? (Surface of infinite genus)
  • dumbQuestion
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1
Graduate Topology: Munkres - Urysohn lemma
  • Fisicks
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1
Graduate Identifying Compact Sets in the Slitted and Moore Planes: What's the Method?
  • ForMyThunder
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1
Graduate Does SU(2) Commutativity Conflict with Its Non-Euclidean Structure?
  • Kontilera
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1
Graduate Is the Integral Inequality Possible to Prove for Certain Parameters?
  • amirmath
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1
Graduate Inquiry: Wavelet factorisation / Daubechies method /
  • MednataMiza
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Graduate Two definitions of locally compact
  • Fredrik
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Graduate How to Estimate the Operator Norm ||A||_2 for a Difference Operator?
  • Max Fleiss
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The Number e .... Another Issue/Problem Regarding Sohrab Proposition 2.3.15 ....
  • Math Amateur
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The Number e .... Another Question Regarding Sohrab Proposition 2.3.15 ....
  • Math Amateur
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Proposition 2.3.15: Understanding Sohrab's Basic Real Analysis Proof
  • Math Amateur
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Undergrad The Number e .... Sohrab Proposition 2.3.15 ....
  • Math Amateur
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Graduate Proof of the L'Hôpital Rule for the Indeterminate Form
  • 3.1415926535
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First Comparison Test for Series .... Sohrab Theorem 2.3.9 ....
  • Math Amateur
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2
Graduate Is it related to measure theory - Help
  • woundedtiger4
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Graduate The correct domain of self-adjointness for the Laplacian
  • AxiomOfChoice
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1
Graduate How to generalize Newtonian and Lagrangian mechanics
  • jostpuur
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1
Infinite Series .... Sohrab Exercise 2.3.10 (1) .... ....
  • Math Amateur
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2
Graduate Residue Proof of Fourier's Theorem Dirichlet Conditions
  • bolbteppa
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Graduate Question about bounded functions
  • pamparana
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1
Absolute and Conditional Convergence .... Sohrab Proposition 2.3.22 ....
  • Math Amateur
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5
Graduate Can the Fejér Kernel Be Approximated by Polynomials?
  • Vannel
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1
Undergrad Necessity of absolute value in Cauchy Schwarz inequality
  • SamRoss
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4