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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?
Every Closed Set in R has a Countable Dense Subset
  • joypav
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Plus or minus question for the complex log
  • cbarker1
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Undergrad Ambiguities of the "...." notation
  • Stephen Tashi
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Can I Find Examples for Continuous Improvement?
  • Joe20
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1
Find Limit of cos(x) with Inequalities | Part (b) Help
  • Joe20
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Undergrad Complex analysis - removable singular points
  • dyn
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5
Undergrad Distribute Limit over Addition: Evaluating w/o Knowing Convergence
  • Mr Davis 97
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8
Graduate Graph or lattice topology discretization
  • diegzumillo
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3
Understanding the Cauchy-Schwarz Inequality
  • Joe20
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1
Is Showing One ε Enough to Prove Discontinuity?
  • Joe20
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3
Can Dividing by Sin x Help Prove Continuity at x = 0?
  • Joe20
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2
Undergrad Prove this inequality involving metrics
  • TMO
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1
Undergrad Can Cauchy's Integral Formula be Used for Non-Analytic Functions?
  • dyn
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6
Graduate What uniquely characterizes the germ of a smooth function?
  • lugita15
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5
Undergrad Equivalence of Covering Maps and Quotient Maps
  • nigelscott
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9
Undergrad Intuition - Cauchy integral theorem
  • tiago23
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4
Real Analysis, Sequences in relation to Geometric Series and their sums
  • joypav
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3
Set of points on the complex plane
  • cbarker1
  • · Replies 1 ·
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1
Proving Modulus Inequality for Complex Numbers
  • cbarker1
  • · Replies 3 ·
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3
Real Analysis, liminf/limsup inequality
  • joypav
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2
Does the Norm of a Linear Integral Operator Equal Its Spectral Radius?
  • sarrah1
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1
Undergrad How Does the Bernstein-Schröder Theorem Establish Set Equivalence?
  • Wendel
  • · Replies 1 ·
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1
Graduate Higher Order Derivative Test and Germs
  • lugita15
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5
Undergrad Proof Explanation: Showing an extension to a continuous function
  • Terrell
  • · Replies 10 ·
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10
Prove Inequality: $f(x)$ Continuous Positive $\int_{0}^{1}$
  • lfdahl
  • · Replies 6 ·
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6
Undergrad Verifying Equality: \mathcal{Im}[A+B+Te^{2ip}]=0
  • AtoZ
  • · Replies 14 ·
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14
Undergrad Understanding the "branch cut argument"
  • TMO
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5
Undergrad Topology vs Differential Geometry
  • Bill2500
  • · Replies 7 ·
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7
Undergrad Munkres-Analysis on Manifolds: Theorem 20.1
  • Bill2500
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5
Undergrad Coordinate functions of a many-to-1 function
  • Stephen Tashi
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7
Insights Hilbert Spaces and Their Relatives - Definitions
  • fresh_42
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2
Undergrad Uniqueness of tangent space at a point
  • kent davidge
  • · Replies 16 ·
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16
Proving Injectivity of a Vector-Valued Function Using the Mean Value Theorem
  • mathmari
  • · Replies 12 ·
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12
F has an uniquely defined global minimum
  • mathmari
  • · Replies 12 ·
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12
Image of each open subset is open
  • mathmari
  • · Replies 4 ·
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4
Graduate Is There a Boundary Point Where the Holomorphic Function Equals Zero?
  • JYM
  • · Replies 2 ·
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2
High School Geometrical Test for Immersion of Klein Bottle in Higher Dimensional Manifold
  • kent davidge
  • · Replies 6 ·
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6
High School Infinite dimensional Hilbert Space
  • kent davidge
  • · Replies 8 ·
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8
Graduate Why Must the Constant in Hilbert Space Function B[f(x)] Be Defined as Shown?
  • member 428835
  • · Replies 14 ·
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14
Undergrad What is the usefulness of topology in understanding functions?
  • kent davidge
  • · Replies 10 ·
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10
Is the system uniquely solvable?
  • mathmari
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3
Challenge problem #5 [Olinguito]
  • Olinguito
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2
Graduate Reshetikhin-Turaev Invariant of Manifolds
  • nateHI
  • · Replies 1 ·
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1
Undergrad Lipschitz Condition: Finding the Lipschitz Constant
  • mertcan
  • · Replies 17 ·
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17
Undergrad Defining Neighborhoods in Topology: Inclusion vs. Containment
  • mr.tea
  • · Replies 12 ·
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12
Undergrad Is dfx(y) a dual vector due to linear transformation properties?
  • LagrangeEuler
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1
Calculating the Inverse Laplace Transform for a Given Function
  • evinda
  • · Replies 10 ·
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10
Undergrad Baire Category Theorem: Question About Countable Dense Open Sets
  • mr.tea
  • · Replies 3 ·
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3
Approximation theorem of Weierstrass
  • evinda
  • · Replies 17 ·
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17
Undergrad There is no relation between e and π
  • the_pulp
  • · Replies 7 ·
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7
Does limit of "approximate zero set" converge to the zero set?
  • Vulture1991
  • · Replies 1 ·
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1
Is the Integral Finite for $n$ Fixed?
  • evinda
  • · Replies 4 ·
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4
Can you help me find the third zero of this complex polynomial?
  • TheFallen018
  • · Replies 3 ·
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3
Deriving Extremas of Homogeneous Functions: A Chain Rule Comparison
  • mathmari
  • · Replies 18 ·
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18
Show inequality using the mean value theorem
  • mathmari
  • · Replies 26 ·
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26
Undergrad What are the essential foundations for studying topology?
  • Another
  • · Replies 19 ·
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19
Graduate Essentially bounded functions and simple functions
  • Shaji D R
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3
Undergrad Does the Integral of Riemman Zeta Function have a meaning?
  • JorgeM
  • · Replies 3 ·
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3
Linearity and continuity of maps
  • mathmari
  • · Replies 13 ·
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13
Undergrad Is ##J(f)## Non-Zero in ##U## for a Bijective ##C^m## Function?
  • facenian
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1
Undergrad Distributions (generalised functions) basics
  • Cathr
  • · Replies 9 ·
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9
Undergrad Elementary question on composition of functions
  • facenian
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2
Undergrad What Is the New Dimension in Complex Number Graphs?
  • pairofstrings
  • · Replies 19 ·
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19
Undergrad Chaos like phenomena on a simple metric space?
  • Zafa Pi
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2
Graduate Quotient maps, group action, open maps
  • PsychonautQQ
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2
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32
Undergrad Problem with countably compact space
  • facenian
  • · Replies 11 ·
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11
Undergrad Concept behind equivalent metrics
  • Ric-Veda
  • · Replies 17 ·
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17
Graduate Volume of 3-Torus: Formula and Calculations
  • novice_hack
  • · Replies 2 ·
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2
Is Path-Connectivity Equivalent to Connectivity in $\mathbb{R}^2$?
  • mathmari
  • · Replies 3 ·
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3
An open cover is a collection of open sets whose union contains a given subset
  • mathmari
  • · Replies 16 ·
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16
On the spectral radius of bounded linear operators
  • sarrah1
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3
Undergrad Proof of Alternating Series Test
  • Mr Davis 97
  • · Replies 3 ·
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3
Undergrad Weak Convergence of a Certain Sequence of Functions
  • fresh_42
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2
Determining the Maximum and Minimum of a Discontinuous Function $f(x,y)$
  • mathmari
  • · Replies 2 ·
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2
Graduate Mathematical Structure and Mathematical Space Hierarchies
  • pairofstrings
  • · Replies 4 ·
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4
Proving that $X$ is a Banach Space and $Y$ is Not
  • mathmari
  • · Replies 6 ·
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6
How to Verify the Complex Integral Equals π/(1+n)?
  • Tony1
  • · Replies 1 ·
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1
Undergrad Compact subspace in metric space
  • facenian
  • · Replies 16 ·
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16
High School Understanding V-E+F=2-2p: An Explanation from What is Mathematics by Courant
  • Serious Max
  • · Replies 10 ·
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10
Solve Maths Sequences & Series - Get Passing Grade Now
  • ertagon2
  • · Replies 2 ·
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2
Undergrad R is disconnected with the subspace topology
  • kent davidge
  • · Replies 6 ·
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6
High School Mistake in my complex exponentiation: where?
  • nomadreid
  • · Replies 2 ·
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2
Undergrad Does ##\mathbb{S}^1## embed in ##\mathbb{R}##?
  • kent davidge
  • · Replies 12 ·
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12
Undergrad Proof that a sequence has two subsequential limits
  • Mr Davis 97
  • · Replies 8 ·
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8
Sequences and their limits, convergence, supremum etc.
  • ertagon2
  • · Replies 1 ·
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1
Undergrad Proof that a quantity is greater than 1/2
  • Mr Davis 97
  • · Replies 3 ·
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3
Gamma function is convergent and continuous
  • mathmari
  • · Replies 7 ·
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7
Undergrad Proving $\lim a_n<L \implies$ There Exists $N\in \mathbb{N}$ s.t. $a_N< L$
  • Mr Davis 97
  • · Replies 5 ·
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5
Undergrad Topology: Can We Use Same Function for 2 Open Sets?
  • kent davidge
  • · Replies 6 ·
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6
Continuously differentiable series
  • mathmari
  • · Replies 9 ·
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9
Convergence of Alternating Series and Estimation of Absolute Error
  • mathmari
  • · Replies 8 ·
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8
Find Limit of $\sqrt{x}$ as $x\to c$, $c\ge 0$
  • cbarker1
  • · Replies 1 ·
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1
Undergrad Proof that p is interior if p is not limit of complement
  • jamalkoiyess
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5
Undergrad Clarification of a line in a proof
  • Mr Davis 97
  • · Replies 3 ·
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3
Undergrad Problem about a connected subspace
  • facenian
  • · Replies 5 ·
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5
Directional and Partial Derivatives ....Notation .... D&K ....
  • Math Amateur
  • · Replies 1 ·
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1
High School Can Irrational Numbers Ever Align in a Theoretical Game?
  • AplanisTophet
  • · Replies 14 ·
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14
Undergrad Understanding metric space definition through concrete examples
  • Ricster55
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3
Undergrad Why Are Topology Axioms Defined the Way They Are?
  • kent davidge
  • · Replies 1 ·
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1
The proof of the infinite geometric sum
  • cbarker1
  • · Replies 1 ·
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1