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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?
P-series .... Sohrab, Proposition 2.3.12 .... ....
  • Math Amateur
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Graduate How are topological spaces applied in the realm of physics?
  • Josh0768
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11
The Number e .... Sohrab Proposition 2.3.15 ....
  • Math Amateur
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Convergence of Geometric Series .... Sohrab, Proposition 2.3.8 .... ....
  • Math Amateur
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Undergrad Application of Supremum Property .... Garling, Remarks on Theorem 3.1.1
  • Math Amateur
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Undergrad Real Numbers & Sequences of Rationals .... Garling, Corollary 3.2.7 ....
  • Math Amateur
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What Are the Key Insights from D. J. H. Garling's Theorem 3.1.1?
  • Math Amateur
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Understanding Garling's Corollary 3.2.7 on Real Numbers and Rational Sequences
  • Math Amateur
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High School Precision Representation of Vectors Using a Spiral on a Sphere
  • metastable
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Partial Order .... Garling, pages 9-10, Volume I ,,,
  • Math Amateur
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Open and Closed Sets in R^n .... Duistermaat and Kolk, Lemma 1.2.11 ....
  • Math Amateur
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Graduate Proving Continuous Function: Expectation Values of Periodic Functions Over Time
  • thegaussian
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Uniform norm .... Garling Section 11.2 Normed Saces .... also Example 11.5.7
  • Math Amateur
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Graduate Reproducing Kernel Hilbert Spaces
  • joshthekid
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Norm bounded Sets .... remarks by Garling in Section 11.2 Normed Spaces ....
  • Math Amateur
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Open Sets in R^n .... Duistermaat and Kolk, Lemma 1.2.5 ....
  • Math Amateur
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Bounded in Norm .... Garling, Section 11.2: Normed Spaces ....
  • Math Amateur
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5
Necessary and Sufficient Meaning of Isometries by D. J. H. Garling
  • Math Amateur
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5
Undergrad Lemma 1.2.3 - Ethan.D.Bloch - The Real Numbers and Real Analysis
  • anhtudo
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2
Graduate What are the equality conditions for proving strict convexity?
  • member 428835
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Graduate Help with Ptolemy metric space
  • ypatia
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Graduate Another complex line integral question
  • randybryan
  • · Replies 1 ·
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1
Gram-Schmidt Orthonormalization .... Garling, Corollary 11.4.2 ....
  • Math Amateur
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Undergrad Trying to understand terms in a problem
  • Mr Davis 97
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6
Gram_Schmidt Orthonormalization .... Remarks by Garling, Section 11.4 .... ....
  • Math Amateur
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6
How Do We Know the Annihilator Operation Is Associative?
  • Math Amateur
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Prop 11.3.5-4: Peter's Help with Garling's The Annihilator of a Set
  • Math Amateur
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Open and Closed Sets .... Conway, Example 5.3.4 (b) .... ....
  • Math Amateur
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Proof of the Cauchy-Schwarz Iequality .... Garling, Proposition 11.3.1 .... ....
  • Math Amateur
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Pseudometrics .... Garling, Proposition 11.1.13 .... ....
  • Math Amateur
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5
Undergrad Bounded in Norm .... Garling, Section 11.2: Normed Spaces ....
  • Math Amateur
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Undergrad Metric Spaces .... the Uniform Metric .... Garling, Proposition 11.1.11
  • Math Amateur
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Metric Spaces .... the Uniform Metric .... Garling, Proposition 11.1.11 ....
  • Math Amateur
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Undergrad Why do these functions form complete orthogonal systems in the Hilbert space?
  • member 428835
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19
Graduate Closures and Infinite Products
  • joeboo
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Graduate Has the 140-Year-Old Schwarz-Christoffel Math Problem Finally Been Solved?
  • Diffy
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1
Radius and Interval of Convergence for (x/sin(n))^n
  • Denis99
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Undergrad Running through a complex math derivation of plasma frequency
  • Suzanne Rosenzweig
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Undergrad Can someone explain these two examples of an open set
  • Austin Chang
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5
Undergrad Why Restrict Derivatives to Intervals?
  • member 587159
  • · Replies 25 ·
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25
Undergrad Parametrized Set .... McInerney, Example 3.3.3 .... ....
  • Math Amateur
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Integral Over Unit Sphere of Inner Product
  • joypav
  • · Replies 1 ·
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Graduate Ambiguity about roots of unity in discrete Fourier transform
  • CantorSet
  • · Replies 1 ·
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1
Graduate Arctan Identities Via Exponentiation
  • 4dhayman
  • · Replies 1 ·
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Undergrad Tangent Spaces and Subspaces .... McInerney Theorem 3.3.13 ....
  • Math Amateur
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Graduate Mechanical steps for the natural-neighbor interpolation
  • maistral
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1
Undergrad Pole Identification Using Block Diagram Reduction
  • Hraabo
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4
Undergrad Is the Unit Square Bijective or Only Injective to the Real Line?
  • nomadreid
  • · Replies 7 ·
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7
Graduate Schroeder's equation: simple observation
  • phoenixthoth
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1
Graduate Dirac delta function on the complex plane?
  • pellman
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Graduate Testing Real or Complex Roots: y=g(x)D^{k}f(x)
  • Karlisbad
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1
Graduate What is the concept of the extended complex plane/Riemann Sphere?
  • jimmycricket
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1
Graduate Can the Gamma Function Simplify Complex Integrals?
  • Greg Bernhardt
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1
Graduate What are extended real numbers
  • Greg Bernhardt
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1
Insights What is a Real Number? A 5 Minute Introduction
  • Greg Bernhardt
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1
Graduate What is the Schwarz Inequality and Its Applications?
  • Greg Bernhardt
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1
Graduate Definition of Topology: What is a Topological Space?
  • Greg Bernhardt
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1
Finding Lebesgue Decomposition for a Measure Defined by an Integral
  • joypav
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3
Undergrad On the topological proof of the Fundamental Theorem of Algebra
  • swampwiz
  • · Replies 18 ·
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18
Graduate Why does the characteristic function not converge in the L1 space?
  • member 428835
  • · Replies 11 ·
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11
McInerney Example 3.1.5: Multivariable Differentiation Q&A
  • Math Amateur
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3
Undergrad Finding all valid surfaces that go through a vector field
  • GabrielCoriiu
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9
Multivariable Differentiation .... McInerney Definition 3.1.1
  • Math Amateur
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2
Graduate What do the notations in functional analysis mean for a given function?
  • member 428835
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Undergrad Differential Forms.... Another question.... Browder, Sec 13.1
  • Math Amateur
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Undergrad Differential Forms & Tensor Fiekds .... Browder, Section 13.1
  • Math Amateur
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Undergrad Wedge Product and Determinants .... Tu, Proposition 3.27 ....
  • Math Amateur
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Undergrad Permutations and Determinants .... Walschap, Theorem 1.3.1 ...
  • Math Amateur
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6
Undergrad Anticommutativity of Wedge Product .... Tu, Proposition 3.21
  • Math Amateur
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Undergrad The Wedge Product .... Tu, Section 3.7
  • Math Amateur
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1
Undergrad Tensors & the Alternation Operator .... Browder, Propn 12.25
  • Math Amateur
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6
Undergrad Space of Alternating Tensors of Rank r.... (Browder, 12.22)
  • Math Amateur
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6
Undergrad Which branch of mathematics talks about this?
  • Swamp Thing
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13
Graduate Where is the actual space inside a tesseract?
  • empleat
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12
High School Finite distance between two points
  • CCMarie
  • · Replies 15 ·
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15
Undergrad Hausdorff dimension of Riemann zeta function assuming RH
  • nomadreid
  • · Replies 11 ·
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11
Vitali Covering: Proving Finite Interval Covering for m*(E)<∞
  • joypav
  • · Replies 1 ·
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"Approximation to the Identity" and "Convolution" Proof
  • joypav
  • · Replies 1 ·
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1
The Dual Space and Covectors .... Browdwer, Theorem 12.2 and Corollaries ....
  • Math Amateur
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High School How can complex numbers be elevated to complex powers?
  • ForceBoy
  • · Replies 12 ·
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12
Dual Space .... Loring Tu, Section 3.1, page 19 .... ....
  • Math Amateur
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The Dual Space and Differential Forms .... ....
  • Math Amateur
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Rank One Tensors .... Fortney Appendix A, Section A2 ....
  • Math Amateur
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The Space of 2-Forms .... Fortney, Darling and Weintraub ....
  • Math Amateur
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Undergrad Understanding why ##(y_n)_n## is a bounded sequence
  • JD_PM
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3
Undergrad Showing that a function is analytic
  • OscarAlexCunning
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2
Banach fixed-point theorem : Existence of solution
  • mathmari
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9
Remarks by Fortney Following Theorems on Directional Derivative ....
  • Math Amateur
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Undergrad What makes Euler's Identity puzzling in complex number calculations?
  • Quarky nerd
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8
Approx. in $L^p$: Proving Existence of Subseq & $g$
  • joypav
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2
Proving Density of $S$ in $L^{p'}(E)$ for $g \in L^p(E)$
  • joypav
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1
Undergrad Error estimate for iterative convergence
  • member 428835
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5
Undergrad Do complex roots have a physical representation on a curve?
  • mohammed El-Kady
  • · Replies 6 ·
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6
Piecewise Continuous and piecewise smooth functions
  • comfortablynumb
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Undergrad How to think of S1 (circle) abstractly
  • vancouver_water
  • · Replies 18 ·
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18
Calculus of Measures: Mapping Natural Numbers to Rationals
  • moyo
  • · Replies 12 ·
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12
Real Analysis - Convergence to Essential Supremum
  • joypav
  • · Replies 1 ·
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1
Undergrad How to confirm the function has genus 116?
  • aheight
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3
Undergrad Completeness of a basis function
  • member 428835
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Undergrad Iterating powers of complex integers along axes of symmetry
  • Ventrella
  • · Replies 3 ·
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3