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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?
Undergrad Proving a Fixed Point Theorem for Shrinking Maps on Compact Spaces
  • facenian
  • · Replies 8 ·
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8
High School Computing a tricky complex math problem - where did I go wrong?
  • Mayhem
  • · Replies 7 ·
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7
Weierstrass Function: Continuous and Bounded on $\mathbb{R}$
  • mathmari
  • · Replies 38 ·
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38
Undergrad How do I create a sewing pattern for a spherical lune in 2D from an n-hosohedra?
  • Smed
  • · Replies 10 ·
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10
Graduate Definitions of Cylinder Sets and Cylinder Set Measure
  • leo.
  • · Replies 2 ·
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Undergrad Lebesgue Integration of Simple Functions .... Lindstrom, Lemma 7.4.6 ...
  • Math Amateur
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Lebesgue Integration of Simple Functions .... Lindstrom, Lemma 7.4.6 .... ....
  • Math Amateur
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Undergrad How do I separate the real and imaginary parts of an infinite product?
  • benorin
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5
Undergrad Where is a list of Lehmer Pairs of zeros of zeta(s) ?
  • Swamp Thing
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Undergrad Measurable Functions .... Lindstrom, Proposition 7.3.7 .... ....
  • Math Amateur
  • · Replies 14 ·
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Measurable Functions .... Lindstrom, Proposition 7.3.7 .... ....
  • Math Amateur
  • · Replies 8 ·
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8
Undergrad What's the name of a 2-torus looped in the 4th dimension?
  • greswd
  • · Replies 8 ·
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8
Undergrad Do there exist surfaces whose boundary is a closed knot?
  • jk22
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3
Undergrad Reference For The Historical Context of Dedekind Cuts and Why the need
  • MidgetDwarf
  • · Replies 8 ·
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8
Prove Monotony of Function: $f$ Strictly Decreasing
  • awsomeman
  • · Replies 2 ·
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2
Graduate I need guidance please: what topic/math to study next
  • benorin
  • · Replies 23 ·
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23
Undergrad Hölder and log-Hölder continuity
  • hilbert2
  • · Replies 2 ·
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2
Undergrad Self teaching analysis and topology
  • diegzumillo
  • · Replies 9 ·
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9
Undergrad Citation for a knot theory statement
  • BillKet
  • · Replies 3 ·
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3
Isometries .... Garling, Example 11.5.2 .... ....
  • Math Amateur
  • · Replies 2 ·
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Orthogonal Projections .... Garling, Proposition 11.4.3 .... ....
  • Math Amateur
  • · Replies 2 ·
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2
Graduate Nowhere diffferentable continuous function
  • mathman
  • · Replies 2 ·
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2
Undergrad Closure & Interior as Dual Notions .... Proving Willard Theorem 3.11 ...
  • Math Amateur
  • · Replies 2 ·
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2
Graduate How would you define a mathematical space?
  • TheDS1337
  • · Replies 11 ·
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11
The Annihilator of a Set ....Remarks by Garling After Proposition 11.3.5 ....
  • Math Amateur
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Is This Proof of the Annihilator of a Set Correct?
  • Math Amateur
  • · Replies 2 ·
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Graduate Conformal Transformation as a diffeomorphism
  • radioactive8
  • · Replies 3 ·
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Normed and Inner Product Spaces .... Garling, Corollary 11.3.2 ....
  • Math Amateur
  • · Replies 2 ·
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2
Graduate Proving that the real projective plane is not a boundary
  • lavinia
  • · Replies 38 ·
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38
Is the Minimum of a Strictly Convex Function Unique at Its Critical Point?
  • JS10
  • · Replies 2 ·
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Undergrad Interior and Closure in a Topological Space .... .... remark by Willard
  • Math Amateur
  • · Replies 2 ·
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2
Insights The Analytic Continuation of the Lerch and the Zeta Functions
  • benorin
  • · Replies 0 ·
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0
Undergrad Is f(x) an Injective Function? Understanding Proof and Notation
  • CaptainAmerica17
  • · Replies 35 ·
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35
Show Existence of $a,b$: Proof for $f'(\xi) \neq 0$
  • evinda
  • · Replies 11 ·
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11
Undergrad Closure in a Topological Space .... Willard, Theorem 3.7 .... ....
  • Math Amateur
  • · Replies 5 ·
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5
Undergrad Fractional Integral of which function is equal to Riemann's Zeta-Function?
  • benorin
  • · Replies 2 ·
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Undergrad Open and Closed Sets .... Conway, Example 5.3.4 (b) .... ....
  • Math Amateur
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Undergrad The Indiscrete Topology is Pseudometrizable ... Willard, Example 3.2(d)
  • Math Amateur
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Open Sets in a Discrete Metric Space .... ....
  • Math Amateur
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Open Sets in R .... .... Willard, Example 2.7 (a) .... ....
  • Math Amateur
  • · Replies 3 ·
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Undergrad Local Basis in Topology .... Definitions by Croom and Singh .... ....
  • Math Amateur
  • · Replies 14 ·
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14
Undergrad Explanation that sin(x+iy) is one-to-one
  • hotvette
  • · Replies 2 ·
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2
Property of real-valued Fourier transformation
  • mathmari
  • · Replies 1 ·
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Undergrad Finding a non-convergent Cauchy sequence
  • Euler2718
  • · Replies 10 ·
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10
Proving Properties of Differentiable Functions: Limits & Convexity
  • mathmari
  • · Replies 23 ·
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23
Undergrad The Order Topology .... .... Singh, Example 1.4.4 .... ....
  • Math Amateur
  • · Replies 2 ·
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2
Undergrad Coordinate Systems After Deformation of Axes
  • Opus_723
  • · Replies 2 ·
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2
Show that the two functions are identical
  • mathmari
  • · Replies 4 ·
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4
Undergrad Subbasis for a Topology .... Singh, Section 1.4 ....
  • Math Amateur
  • · Replies 2 ·
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Hello i would like some help with laplace transforms.
  • stephan2124
  • · Replies 2 ·
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2
Need help with evaluating H(t-8t)2cosh(t-8)
  • dean2203
  • · Replies 2 ·
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Undergrad Convergence .... Singh, Example 4.1.1 .... .... Another Question ....
  • Math Amateur
  • · Replies 2 ·
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Undergrad Convergence in Topological Spaces .... Singh, Example 4.1.1 .... ....
  • Math Amateur
  • · Replies 2 ·
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Graduate Closure of constant function 1 on the complex set
  • victorvmotti
  • · Replies 11 ·
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11
Undergrad Convergence of a sequence of sets
  • benorin
  • · Replies 44 ·
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Undergrad Limit Points & Closure in a Topological Space .... Singh, Theorem 1.3.7
  • Math Amateur
  • · Replies 4 ·
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4
Graduate Orthogonal complement of the orthogonal complement
  • victorvmotti
  • · Replies 4 ·
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4
Undergrad Closed Subsets in a Toplogical space ....
  • Math Amateur
  • · Replies 4 ·
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4
Undergrad Can Intuition be Used in Mathematics to Overcome Limit Laws and Norms?
  • Tucker121
  • · Replies 3 ·
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3
Undergrad Definitions of Continuity in Topological Spaces ....
  • Math Amateur
  • · Replies 2 ·
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2
Undergrad Functional equations as global formulas
  • Tendex
  • · Replies 17 ·
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17
Graduate Proof of Seifert-Van Kampen Theorem
  • PsychonautQQ
  • · Replies 2 ·
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2
Intermediate Value Theorem ....Silva, Theorem 4.2.1 .... ....
  • Math Amateur
  • · Replies 3 ·
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3
Graduate Questions about representation theory of Lie algebra
  • phoenix95
  • · Replies 5 ·
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5
Undergrad Example of a Lie group that cannot be represented in matrix form?
  • nrqed
  • · Replies 18 ·
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18
High School Something like an inverse Zeno's paradox
  • archaic
  • · Replies 11 ·
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11
Undergrad Intermediate Value Theorem .... Browder, Theorem 3.16 .... ....
  • Math Amateur
  • · Replies 4 ·
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Intermediate Value Theorem .... Browder, Theorem 3.16 .... ....
  • Math Amateur
  • · Replies 2 ·
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2
Undergrad Continuity of f^+ .... Browder Corollary 3.13
  • Math Amateur
  • · Replies 18 ·
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18
Undergrad Why Isn't the Intersection of Two Lines a 1D Manifold?
  • nrqed
  • · Replies 21 ·
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21
Continuity of f^+ .... Browder Corollary 3.13
  • Math Amateur
  • · Replies 4 ·
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4
Relatively Open Sets .... Stoll, Theorem 3.1.16 (a) ....
  • Math Amateur
  • · Replies 6 ·
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6
Undergrad Composition of Two Continuous Functions .... Browder, Proposition 3.12
  • Math Amateur
  • · Replies 5 ·
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5
Undergrad Video lectures on lattices in mathematics
  • senmeis
  • · Replies 2 ·
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2
Increasing Function on an Interval .... Browder, Proposition 3.7 .... ....
  • Math Amateur
  • · Replies 3 ·
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3
Undergrad Which class of functions does 1/x belong to?
  • SVN
  • · Replies 11 ·
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11
Graduate Conditions to extend functions Continuously into the Boundary (D^1/S^1)
  • WWGD
  • · Replies 7 ·
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7
Continuity of a Function .... Conway, Definition 1.7.1 .... ....
  • Math Amateur
  • · Replies 3 ·
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3
Undergrad Limits of Functions ....Conway, Proposition 2.1.2 .... ....
  • Math Amateur
  • · Replies 7 ·
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7
Undergrad The Riemann and Darboux Integrals .... Browder, Theorem 5.10 .... ....
  • Math Amateur
  • · Replies 6 ·
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6
The Riemann Integral .... Conway, Proposition 3.1.4 ....
  • Math Amateur
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An Example on Differentials .... Browder Proposition 8.12 ....
  • Math Amateur
  • · Replies 2 ·
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Differentials/Total Derivatives in R^n .... Browder, Proposition 8.12 ....
  • Math Amateur
  • · Replies 2 ·
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2
Undergrad Question about weights using Chebyshev polynomials as quadrature
  • confused_engineer
  • · Replies 4 ·
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4
Undergrad Application of the Stone Weierstrass Theorem
  • CCMarie
  • · Replies 9 ·
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9
Partial fraction decomposition
  • lucad93
  • · Replies 2 ·
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2
Help Understanding Andrew Browder's Proof of Proposition 8.14 from Math Analysis
  • Math Amateur
  • · Replies 2 ·
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Differentials in R^n .... Another Remark by Browder, Section 8.2 .... ....
  • Math Amateur
  • · Replies 2 ·
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2
Undergrad The signal is binned into time bins with a width ##δt##
  • arcTomato
  • · Replies 4 ·
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4
Understand Andrew Browder's Prop 8.13: Math Analysis Introduction
  • Math Amateur
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Help Understanding Andrew Browder's Proposition 8.14
  • Math Amateur
  • · Replies 2 ·
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High School Size Manifold Globally: Euclidean 3D Space
  • sqljunkey
  • · Replies 10 ·
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10
Differentials in R^n .... Remark by Brwder, Section 8.2 .... ....
  • Math Amateur
  • · Replies 7 ·
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7
Understanding Andrew Browder's Prop 8.7: Operator Norm and Sequences
  • Math Amateur
  • · Replies 4 ·
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Understanding Proposition 8.7: Operator Norm and Sequences
  • Math Amateur
  • · Replies 4 ·
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Operator Norm and Distance Function .... Browder, Proposition 8.6 ....
  • Math Amateur
  • · Replies 2 ·
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Graduate Ramanujan Summation and ways to sum ordinarily divergent series
  • bhobba
  • · Replies 41 ·
2
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Operator norm .... Field, Theorem 9.2.9 ....
  • Math Amateur
  • · Replies 2 ·
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High School Quick question from someone who has never taken topology
  • Eclair_de_XII
  • · Replies 22 ·
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Operator norm --- Remarks by Browder After Lemma 8.4 ....
  • Math Amateur
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