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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?
Graduate Is it even possible? Or am I just flat out wrong once again?
  • rudinreader
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Graduate Are All Filters Both Finer and Coarser Than Themselves?
  • Saketh
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Graduate Please help me identify this topology book
  • mathboy
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4
Graduate Can 0^(ia) Have a Definite Solution for Positive Real a?
  • intangible
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Graduate Reading multiple books simultaneously on the same subject
  • mathboy
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Graduate How Can I Prove These Topology Statements?
  • rolylane
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5
Undergrad Straight lines and complex numbers
  • saiaspire
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Graduate Banach Spaces vs. Closed Spaces: What's the Difference?
  • hooker27
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6
Undergrad Recommend a good book on complex analysis?
  • wildman
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11
Graduate Betti numbers and euler characterstic?
  • Coolphreak
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1
Graduate Rigorization of analysis and calculus in the 19th century and since
  • titaniumx3
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Graduate Calculating Homology Groups of RP(2)
  • Sephi
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2
Graduate Limit in closure, topology stuff
  • jostpuur
  • · Replies 13 ·
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13
Graduate Topology Question (Normal Spaces)
  • BSMSMSTMSPHD
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Graduate Proof of Compactness in X: C is Contained in F
  • shapiro478
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12
Undergrad So the question would be:What is the difference between absolute value and norm?
  • lampshade
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9
Graduate Is U-A Open and A-U Closed in Topological Spaces?
  • MathematicalPhysicist
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2
Graduate Is every component of a product of Hausdorff spaces also Hausdorff?
  • mathboy
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9
Graduate How Do Riemann and Lebesgue Integrals Compare in Integration Theory?
  • quasar987
  • · Replies 39 ·
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Graduate What is the dimension of a topological space?
  • princeton118
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7
Graduate Using Liouville's Theorem to Show f is Constant
  • smoothman
  • · Replies 2 ·
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2
Graduate Proving Equality of Subspace Topologies: A Topological Lemma Approach
  • MathematicalPhysicist
  • · Replies 6 ·
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6
Graduate Is a Function with Two Non-Commutative Periods Necessarily Constant?
  • Office_Shredder
  • · Replies 8 ·
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8
Graduate Unique Partition of Evenly Covered Sets in Algebraic Topology
  • JasonRox
  • · Replies 8 ·
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8
Undergrad Why are there two square roots of -1 in complex numbers?
  • Zorodius
  • · Replies 11 ·
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11
Graduate Surjectivity of Induced Homomorphism in Algebraic Topology
  • JasonRox
  • · Replies 7 ·
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7
Graduate Find a function f(z) such that f(f(z)) = exp(z)
  • Count Iblis
  • · Replies 20 ·
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20
Graduate What does S^1 X S^1 really mean?
  • pivoxa15
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2
Graduate What is compactness and how does it relate to uniform continuity?
  • futurebird
  • · Replies 14 ·
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14
Graduate Non planar simplicial homology?
  • Coolphreak
  • · Replies 3 ·
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3
Undergrad Triangle Inequality Proof theorem
  • Howers
  • · Replies 2 ·
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2
Graduate What is the motivation behind homology?
  • pivoxa15
  • · Replies 4 ·
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4
Graduate Complex powers/logarithmic spirals
  • hoodwink
  • · Replies 2 ·
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2
Graduate Queer questions about topology
  • navigator
  • · Replies 5 ·
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5
Graduate Why is the infinite Cartesian product of [0,1] with itself not countably based?
  • Extropy
  • · Replies 7 ·
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7
Undergrad Uses of Topology: Learn What It Can Do
  • 111111
  • · Replies 2 ·
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2
Graduate Contraction of a Line Segment Using Average Point
  • matteo16
  • · Replies 4 ·
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4
Graduate Is Multi-Valued Functions a Misnomer?
  • Gib Z
  • · Replies 11 ·
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11
Graduate Is it true that ||z| - |w|| \leq |z + w| ?
  • smoothman
  • · Replies 1 ·
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Graduate Proving Open and Closed Sets: A How-to Guide
  • heyo12
  • · Replies 2 ·
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2
Graduate Sequence that has a subsequence that converges towards any value in R
  • Werg22
  • · Replies 5 ·
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5
Graduate Countable But Not Second Countable Topological Space
  • Nolen Ryba
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3
Graduate Why is it fine to assume .5 | x - 4 | < e in an epsilon-delta proof?
  • bjgawp
  • · Replies 4 ·
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4
Graduate In the derivation of a cycloid - problem in Stewart
  • tronter
  • · Replies 4 ·
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4
Graduate Question about topology in study of electricity
  • Coolphreak
  • · Replies 3 ·
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3
Graduate Where does this inequality come from?
  • michaelxavier
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2
Graduate Real Analysis- least upper bound and convergence
  • Scousergirl
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4
Graduate How supposed I imagine the following equations?
  • tomcenjerrym
  • · Replies 1 ·
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Graduate Question about some terminology
  • navigator
  • · Replies 3 ·
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3
High School Understanding the Basics of Complex Numbers
  • JPC
  • · Replies 10 ·
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10
Undergrad What is the difference between norm and modulus?
  • cks
  • · Replies 6 ·
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6
Graduate What is the Dedekind section definition of a lower bound?
  • ice109
  • · Replies 5 ·
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5
Graduate What is the role of Dedekind cuts in defining the real numbers?
  • ice109
  • · Replies 1 ·
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1
Graduate Is every subspace of a connected space connected?
  • quantum123
  • · Replies 12 ·
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12
Graduate An set without limit points - Necessarily closed?
  • Extropy
  • · Replies 15 ·
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15
Graduate Does dividing a function by a smooth function result in a smooth function?
  • tronter
  • · Replies 1 ·
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1
Undergrad Trig functions on complex numbers?
  • davee123
  • · Replies 3 ·
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3
High School What's the deal with imaginary numbers?
  • LHarriger
  • · Replies 9 ·
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9
Graduate Computing Relative Homology Groups from a Given Map
  • bham10246
  • · Replies 7 ·
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7
Graduate Proving Triviality of pi_1(S^n;e) in Algebraic Topology
  • bham10246
  • · Replies 7 ·
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7
Undergrad Is 2 pi i equal to 0, contradicting the fact that pi and i cannot equal 0?
  • nicktacik
  • · Replies 5 ·
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5
Undergrad Cancelling Confusion with Complex Numbers and De Moivre's Theorem
  • Trail_Builder
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2
Graduate Computing the homology of R^3 - S^1
  • bham10246
  • · Replies 5 ·
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5
Graduate Riemann surface, elliptic curves
  • Ratzinger
  • · Replies 6 ·
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6
Graduate How is the Void Open in the Topology of R^n?
  • quasar987
  • · Replies 6 ·
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6
Graduate For help, A simple question about topology
  • Xian'an Jin
  • · Replies 12 ·
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12
Undergrad What is 'cluster point' in french?
  • quasar987
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10
Undergrad What is the Formula for Multiplying Complex Numbers in Polar Form?
  • Joza
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5
Graduate Proof: Complex Number w^2+(5/w)-2=0 is Purely Imaginary
  • ahoy hoy
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2
Graduate Worldsheet and complex analysis stuff
  • nrqed
  • · Replies 13 ·
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13
Undergrad Converting Complex Numbers to Trigonometric Identities
  • Joza
  • · Replies 8 ·
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8
Graduate What is the Definition of a Conic in Complex Projective 2 Space?
  • Diophantus
  • · Replies 2 ·
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2
Graduate Graphing Euler Relationship as exponential spiral
  • KeyLime
  • · Replies 5 ·
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5
Graduate Prove Injectivity of x^x Function?
  • Izzhov
  • · Replies 32 ·
2
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32
Undergrad Calculating the Imaginary Part of (1-2i)^2-i
  • Anood
  • · Replies 1 ·
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1
Undergrad Complex Numbers: Solving 2^(8n)exp^(2niπ)=2^(8n)
  • craig100
  • · Replies 5 ·
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5
High School Solving Complex Numbers: How Does 1 + i Equal √2?
  • craig100
  • · Replies 8 ·
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8
Graduate Fully Developed Areas in Mathematics
  • RJ Emery
  • · Replies 4 ·
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4
Graduate + infinity and - infinity join ?
  • JPC
  • · Replies 4 ·
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4
Graduate Trouble understanding the path-homotopy equivalence class
  • JasonRox
  • · Replies 11 ·
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11
Graduate Can the reals be characterized by topological properties?
  • DeadWolfe
  • · Replies 3 ·
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3
Undergrad What is the Root of i? A Surprising Discovery for a 3rd Year Physics Student
  • neu
  • · Replies 17 ·
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17
High School Are Infinite Points on a Straight Line Just One Point?
  • nine
  • · Replies 35 ·
2
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35
Undergrad Solving for z with Complex Numbers
  • Jeff Cook
  • · Replies 14 ·
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14
Undergrad Proof Complex Numbers: How to Prove |z1|^2/|z2|^2 = |z1/z2|^2
  • Suni
  • · Replies 2 ·
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2
Undergrad Is ln(-1) Equal to Zero?
  • alba_ei
  • · Replies 14 ·
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14
Undergrad Can sinh x = 0 and cosh z = 0 Be Solved Simultaneously?
  • En_lizard
  • · Replies 9 ·
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9
Undergrad What is the mathematical equation for calculating the arg function?
  • pyro_dragun
  • · Replies 5 ·
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5
Graduate Countour Integ & Fourier Transform
  • Swapnil
  • · Replies 2 ·
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2
Graduate Symbols for homeomorphic, isomorphic, homotopic
  • quasar987
  • · Replies 5 ·
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5
Graduate Proving Real Numbers Satisfy Inequality
  • murshid_islam
  • · Replies 10 ·
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10
Undergrad Understanding the Basics of Extended Plane and Space
  • *best&sweetest*
  • · Replies 1 ·
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1
Undergrad What is a pathological function and how can it be constructed?
  • Swapnil
  • · Replies 12 ·
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12
Undergrad May be a stupid question, but bothering me for long time
  • christinaz
  • · Replies 16 ·
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16
Graduate Why Do Different Math Textbooks Use Varying Definitions and Notations?
  • Tom1992
  • · Replies 6 ·
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6
Undergrad Having trouble with complex quadratic equations
  • Jeff Cook
  • · Replies 5 ·
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5
Graduate Non-trivial field limits' equivalence?
  • Loren Booda
  • · Replies 9 ·
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9
Graduate Describing a Cyclic Space: 0 = 1
  • yetar
  • · Replies 2 ·
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2
Undergrad Square Root of Complex Numbers
  • littleHilbert
  • · Replies 5 ·
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5
Undergrad What Distinguishes Distributions from Functions?
  • Swapnil
  • · Replies 2 ·
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2