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Differential Geometry

Do non-orthogonal coordinate systems mean dependent coordinates?
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Undergrad Do non-orthogonal coordinate systems mean dependent coordinates?
Graduate Relations between curvature and topology
  • joseph0086
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Graduate Another way to extend the Complex Plane (Insertsomethingthatgetsyourattention)
  • Frogeyedpeas
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Undergrad Why does (e^{i\alpha})^2 always equal 1?
  • Piano man
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Graduate Can say me why annulus and circle are not homeomorphic?
  • seydunas
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Graduate Paracompactness and metrizable manifolds
  • aleazk
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Undergrad Understanding Compact Spaces: A Beginner's Guide
  • lavster
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Graduate Do Homeomorphisms , Diffeomorphisms Preserve Intersections?
  • Bacle
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Graduate Is the human body topologically equivalent to a donut with multiple holes?
  • DaveC426913
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Graduate What is a Complete Metric Space in Mathematics?
  • Amok
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Graduate Can Probability and Topology Combine for an Exciting Research Topic?
  • Paparazzi
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Is the close interval A=[0,1] is compact?
  • rohan302
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Graduate I'm trying to find all functions such that Re(f(z)) + Im(f(z)) = 0, or
  • Char. Limit
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Graduate Discretized complex exponential
  • cepheid
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Graduate Proof of Topology: Compact Subsets in Open Sets
  • ForMyThunder
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Undergrad Question about complex numbers
  • Chuckster
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Graduate Solving (-2)^(1/2) and (-2)^(1/sqrt(pi)): A Complex Analysis Approach
  • davedave
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Graduate Comparing Sets of Convergent Sequences and Series
  • Char. Limit
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Undergrad Complex numbers an Pythagoras' theorem.
  • JDude13
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Graduate So, what is the principal value of i^{3i}?
  • hbweb500
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Graduate How to abelianizing the fundamental group?
  • kakarotyjn
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Graduate How Can a Finite Set of Natural Numbers Be an Open Set in Topology?
  • 0ddbio
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Undergrad Solve Complex Equation: Finding a and b from Known c and d
  • commander22
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Graduate Embedding Complex Matrices into Real Spaces
  • Kreizhn
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Graduate R^2 and R^2 - {(0,0)} are not homeomorphic
  • poet_3000
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Undergrad Understanding Complex Numbers: A Visual Explanation
  • QuarkCharmer
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Graduate Can the value of a function at a point of discontinuity vary among authors?
  • spaghetti3451
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Graduate Open set (differential equation)
  • stanley.st
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Graduate Relationship b/w Connectedness and Homeomorphisms
  • rekovu
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Graduate Bounded Operators: Linearity & Inequality
  • mathplease
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Graduate How to represent a fraction infinitely close to 1?
  • Alan1000
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Graduate Topological and Metric Properties
  • Bachelier
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Graduate Cauchy Sequences in General Topological Spaces
  • ebola1717
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Graduate Continuous functions that vanish at infinity
  • Fredrik
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Graduate Finite cartesian product of connected space is connected
  • princy
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Graduate Topology and the Chinese Remainder Theorem?
  • ForMyThunder
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Graduate Prove Metric Theorem: (X,d) x B(x,δ) ⊆ B(x,ϵ)
  • thraxrules
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Graduate Help with Understanding Locally Compact Spaces & Subspaces
  • winmath
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Graduate .999 = 1, in descrete topology?
  • TylerH
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Graduate Properties of Homeomorphisms between topological spaces
  • Goldbeetle
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Undergrad Raising Complex Numbers to Powers of Angles - What Happens?
  • Andrea2
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Graduate Topology Problem: Closure X Path-Connected?
  • mveritas
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Graduate Simple question relating diffeomorphisms and homeomorphisms.
  • Pinu7
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Graduate Differentiating a Linear Functional
  • Kreizhn
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High School Complex numbers - parallel lines meet at infinity ? What does it mean?
  • Femme_physics
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Graduate Question about a complex regarded as a topological space
  • kakarotyjn
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Graduate Non 2nd-countable, Hausdorff, differentiable n-manifold?
  • RoNN|3
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Graduate Afraid to Manipulate Complex Numbers
  • nonequilibrium
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Graduate How Does Raising e^(2*pi*i) = 1 to the Power of 1/(2*pi*i) Work?
  • nameonascreen
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Graduate A simple functional derivative
  • sprik
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Graduate Is accumulation point = adherent point in a closed set?
  • kadas
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Graduate Product Topology and Compactness
  • Bleys
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Graduate Understanding Bases in Topology: Examining Subsets of Real Numbers
  • Damascus Road
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Undergrad Simple but frustrating confusion on definition of bounded function
  • HJ Farnsworth
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Graduate Example of dense non surjective operator
  • ak416
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Graduate What Does It Mean for a Function to Have Compact Support?
  • mnb96
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Graduate Questions about hyperreal numbers/functions
  • lolgarithms
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Graduate Prove f(P) = 0 for Any Point P in the Plane | Putnam A1 Question Help
  • john562
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Graduate Define Metric for Set of Reals in n Dimensions
  • TylerH
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Graduate Why use a laurent series in complex analysis?
  • ENgez
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Graduate Proving Bounded Open Sets Union of Disjoint Open Intervals
  • Gear300
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Graduate What Connects the Natural Logarithm of i with Pi?
  • zketrouble
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Graduate Split-complex numbers and dual numbers
  • ForMyThunder
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Undergrad Is the equality \sqrt[n]{ab}= \sqrt[n]{a}\sqrt[n]{b} true for complex numbers?
  • gabel
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Graduate Neither of those is a real number, much less a positive real number.
  • Bob Busby
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Graduate Hilbert Space Orthonormal Sets: Alternative to Rudin
  • Hjensen
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Graduate [Proof] Fourier Coefficients = zero => function zero
  • nonequilibrium
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Undergrad Understanding the Equivalence of 2.999... and 3 through Cauchy Sequences
  • Little ant
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Graduate The Identity Crisis of i: Is i truly unique compared to -i?
  • Yayness
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Undergrad How to eliminate imaginary parts of complex expression?
  • kaizen.moto
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Graduate Dynamic Programming Related Questions
  • sampahmel
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Graduate Can Achilles Catch the Tortoise Without the Continuum Property?
  • Rasalhague
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Graduate Can you explain me how these equations were obtained?
  • whuzzwhuzz
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Graduate Interiors of sets in topological vector spaces
  • AxiomOfChoice
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Graduate How Do You Prove the Bolzano-Weierstrass Theorem?
  • maximus101
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Graduate Complex numbers representing Real numbers
  • DrummingAtom
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Graduate Are there imaginary numbers other than i?
  • filter54321
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Undergrad Subtraction of real function from another
  • Abu Rehan
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Undergrad Extension of the Triangle Inequality
  • Caspian
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Graduate Interpretation of Complex numbers - confused
  • closet mathemetician
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Undergrad What is the Meaning of Re(function)?
  • nkk2008
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Graduate Are Fourier transforms unique?
  • pellman
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Graduate Open set challenging question and mind-blogging conceptWelcome.
  • kntsy
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17
Undergrad What are complex functions and how can they be graphed?
  • madah12
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5
Graduate What is the Locus of Roots in a Cubic Equation with Complex Numbers?
  • jammed
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Graduate Dividing both sides by a Dirac delta function - ok?
  • pellman
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Graduate Dedekind cuts & infinitesimals
  • Rasalhague
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14
Graduate Help with nested intervals in Courant please
  • osnarf
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Graduate What is in the distributional sense ?
  • inlaid
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Graduate How can f(x, y) be defined on y=x for a continuous function?
  • Alexx1
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Graduate Cartesian product of R^n and R^m
  • JG89
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Graduate What do you think about Lang Textbooks?
  • dreamtheater
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Graduate Reading Haaser-Sullivan's Real Analysis
  • _DJ_british_?
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3
Graduate Is the equation z^z + 1 = 0 solvable?
  • mechprog
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Graduate Rotating two different complex numbers
  • daniel_i_l
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Undergrad Graphical representation of complex roots to equations
  • RK1992
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Graduate Reiman sphere mobius transforms and inverse square
  • zwoodrow
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Graduate Does the Equation (e2Pi i)i = 1 Have a Geometric Meaning?
  • abhi2005singh
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Graduate Question about rectangles in R^n
  • JG89
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Graduate Rudin Theorem 1.14: Measurable Functions & Intuitive Understanding
  • Tedjn
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High School Is -i Equal to 1/i in Complex Numbers?
  • trister
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