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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 How do we know when one complex number is greater than another?
  • Teegvin
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Graduate Proving the Independence of Connected Sum on Open Discs: A Topological Approach
  • Diophantus
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Graduate Fundamental Groups of the Mobius Band
  • Palindrom
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6
Graduate Confirm Invtblty Property of Cont & Smooth Funcs
  • quasar987
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Undergrad What is the second part of the question asking?
  • phalanx123
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3
Undergrad Complex numbers: don't understand graph of 1/z
  • james5
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4
Undergrad Proof of Complex Numbers Re^{jθ}: R(cosθ + jsinθ)
  • lazypast
  • · Replies 15 ·
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15
Graduate Understanding the Symmetry of Julia Sets: A Brief Explanation
  • chaoseverlasting
  • · Replies 1 ·
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1
Graduate What is the Relationship Between Metrics and Topology?
  • JasonRox
  • · Replies 10 ·
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10
Undergrad I'm having (another) thick moment (complex numbers)
  • Brewer
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5
Graduate Find the proof with supremum for bounded and disjoint sets
  • MathematicalPhysicist
  • · Replies 11 ·
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11
Undergrad What is the confusion surrounding complex numbers and their representation?
  • Muhammad Ali
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Undergrad Cube roots of a complex number
  • murshid_islam
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13
Graduate Questions on functions and supremums and infimums.
  • MathematicalPhysicist
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5
Graduate Proving Inequalities Between Infimum and Supremum in Subset Relations
  • MathematicalPhysicist
  • · Replies 3 ·
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3
Graduate Geometric Topology Vs. Algebraic Topology.
  • MathematicalPhysicist
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Undergrad A little help with this complex number question
  • aerosmith
  • · Replies 6 ·
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6
High School Using complex numbers in polar form on calculator?
  • meee
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Graduate Help with proof for Dirca Delta Relation
  • orion141
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3
Graduate Is Distance an Abstract Concept? A Debate on the Definition of Length
  • Werg22
  • · Replies 14 ·
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14
Graduate A world with no curves, artificially creating a circle?
  • Chaos' lil bro Order
  • · Replies 15 ·
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15
Undergrad Can there be 3 collinear points in a curve?
  • Skhandelwal
  • · Replies 25 ·
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25
Graduate Geometry: Learn About Toruses & N-Balls
  • Evilinside
  • · Replies 5 ·
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5
Undergrad How is the multiplication rule for complex numbers derived?
  • pivoxa15
  • · Replies 11 ·
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11
Graduate What does C^r mean for a function of several variables?
  • quasar987
  • · Replies 1 ·
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Undergrad More on 0.999~ vs 1: Comparing Numbers
  • BSMSMSTMSPHD
  • · Replies 60 ·
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Undergrad Can All Functions Be Plotted on a Complex Plane?
  • scott_alexsk
  • · Replies 1 ·
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Undergrad Complex Exponential: Why is e Used?
  • Repetit
  • · Replies 2 ·
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2
Graduate Elementary Real and Complex Analysis
  • Pseudo Statistic
  • · Replies 6 ·
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6
Graduate Residue of z/cos(z): Explanation & Calculation
  • pivoxa15
  • · Replies 15 ·
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15
Graduate Why are topology and sigma-algebras defined in a similar way?
  • jordanl122
  • · Replies 2 ·
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Graduate What is
  • Dragonfall
  • · Replies 5 ·
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5
Graduate Why Are Only Constant Functions Continuous in Concrete Topology?
  • LeonhardEuler
  • · Replies 18 ·
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18
Undergrad Help with Describing Image of |z-1| ≤ 1 in Complex Plane
  • simick1712
  • · Replies 4 ·
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4
Undergrad Complex number exponential subtraction
  • Exulus
  • · Replies 4 ·
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4
Graduate What is the Branch of Mathematics that Maps Entire Sub-Disciplines?
  • Lacy33
  • · Replies 4 ·
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4
Graduate Proving Noncompactness of Unit Ball in Infinite-Dimensional Banach Space
  • dextercioby
  • · Replies 2 ·
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2
Graduate Why is Complex-Number Math Essential in Quantum Physics?
  • Dense
  • · Replies 11 ·
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11
Graduate Unraveling the Topological Equivalence of Vertical and Horizontal Tori
  • DaveC426913
  • · Replies 25 ·
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25
Undergrad Bounded sequence as convergent
  • electronic engineer
  • · Replies 7 ·
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7
Graduate What is the definition of a topological space?
  • JasonRox
  • · Replies 8 ·
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8
High School What Is Topology: Definition & Examples
  • En_lizard
  • · Replies 5 ·
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5
Undergrad Points in 2- and 3-dimensional space
  • symplectic_manifold
  • · Replies 4 ·
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4
Undergrad Why Does the Equation 1 = -1 Seem Correct?
  • sparkster
  • · Replies 3 ·
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3
Undergrad Complex Numbers & Complex Envelopes: Articles & Resources
  • dervast
  • · Replies 2 ·
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2
Graduate What Makes the Hilbert Cube Cubelike?
  • Cincinnatus
  • · Replies 3 ·
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3
Graduate A conjecture about the roots of real functions
  • eljose
  • · Replies 6 ·
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6
Undergrad What do u need to learn topology?
  • michealsmith
  • · Replies 4 ·
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4
Graduate What is the equivalence of definitions for completely regular spaces?
  • Cincinnatus
  • · Replies 2 ·
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2
Graduate Visualizing topological spaces
  • Cincinnatus
  • · Replies 5 ·
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5
Undergrad 0.999 =1 is LUB or exactly the same
  • Algorithm
  • · Replies 4 ·
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4
Undergrad Complex Numbers: Learn Techniques & De Moivres Theorem
  • shaiqbashir
  • · Replies 1 ·
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Graduate Complex Plane Dimension Number
  • Terry Giblin
  • · Replies 2 ·
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2
Graduate How can complex analysis be applied to Einstein's theory of relativity?
  • Tom Piper
  • · Replies 14 ·
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14
Graduate A question of roots of riemann function
  • eljose
  • · Replies 4 ·
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4
Undergrad Importance of Complex Analysis
  • heman
  • · Replies 25 ·
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25
Graduate Weierstrass approach to analysis
  • MathematicalPhysicist
  • · Replies 15 ·
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15
Graduate Explaining topology to non-mathematicians
  • octol
  • · Replies 44 ·
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Graduate How Many Roots Exist for Complex Numbers Raised to Irrational Powers?
  • cjellison
  • · Replies 2 ·
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Undergrad Trig chart for the complex plane
  • yourdadonapogostick
  • · Replies 22 ·
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22
Graduate Why is (algebraic) topology important?
  • octol
  • · Replies 3 ·
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3
Graduate Find a root for this expression:
  • MaxwellPhill
  • · Replies 3 ·
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3
Graduate Laurent series of the function f(z)=1/z^2 for |z-a|>|a|
  • heman
  • · Replies 7 ·
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7
Undergrad Calculate sin and cos using complex numbers
  • TomMe
  • · Replies 12 ·
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12
Graduate Complex numbers and modulus problem
  • TomMe
  • · Replies 7 ·
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7
Undergrad What are Möbius Transformations and What are Their Applications?
  • mprm86
  • · Replies 1 ·
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1
Undergrad How to Express a Complex Number in the Form of I-Tan(kA)?
  • floped perfect
  • · Replies 3 ·
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3
Graduate No Complex Analysis Equation z^4 + z + 5 = 0
  • heman
  • · Replies 13 ·
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13
Graduate Van Kampen's theorem and fundamental groups
  • sparkster
  • · Replies 7 ·
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7
Graduate What values of z in the complex plane make the series absolutely convergent?
  • heman
  • · Replies 4 ·
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4
Graduate What is the Mystery Behind i^i? Unveiling the Intricacies of Euler's Formula
  • Max cohen
  • · Replies 19 ·
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19
Graduate Uniform Metric vs Box Topology
  • joeboo
  • · Replies 2 ·
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2
Graduate Can Complex Analysis Solve x^{sin(y)}=y^{cos(x)}?
  • saltydog
  • · Replies 11 ·
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11
Graduate What is the definition of 'space'?
  • quasar987
  • · Replies 4 ·
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4
Graduate Compact sets and homeomorphisms
  • Gunni
  • · Replies 24 ·
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24
High School Understanding Imaginary Roots in Complex Numbers
  • abia ubong
  • · Replies 11 ·
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11
Undergrad Conformal mapping in Complex Analysis
  • rhia
  • · Replies 5 ·
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5
Undergrad Complex numbers and coordinates
  • BobG
  • · Replies 5 ·
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5
Undergrad Finding Flaw in Reasoning: Complex Fun
  • quasar987
  • · Replies 12 ·
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12
Graduate What is the basis for the inner product of functions?
  • sid_galt
  • · Replies 2 ·
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2
High School Solving Complex Polynomial Equations
  • Exulus
  • · Replies 9 ·
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9
Graduate Relative Boundaries in General Topology
  • quantumdude
  • · Replies 2 ·
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2
Graduate Can You Create a Bijective Function from the Reals to the Interval [0,1]?
  • gravenewworld
  • · Replies 1 ·
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1
Undergrad (x)=max{f(x),g(x)} continuous functions
  • QUBStudent
  • · Replies 4 ·
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4
Graduate Complex Analysis: Applications & Virtual Classrooms
  • Gza
  • · Replies 6 ·
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6
Undergrad What is the definition of distance between a point and a set of points?
  • kakarukeys
  • · Replies 4 ·
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4
Graduate Contour Integration: Find Out Non-Removable Singularities?
  • Manchot
  • · Replies 2 ·
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2
Graduate Solving Ln(-1) with Euler's Equation
  • T@P
  • · Replies 12 ·
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12
Graduate Has the Poincaré Conjecture Been Proven? A Review of the Proposed Proof
  • Icebreaker
  • · Replies 13 ·
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13
Undergrad Sequence of rationals that converge to irrational
  • tonebone10
  • · Replies 10 ·
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10
Graduate A Question About the Complex Plane
  • cepheid
  • · Replies 4 ·
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4
Undergrad Is .999' Equal to 1? A Proof Using Reductio Ad Absurdum
  • Pyrovus
  • · Replies 13 ·
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13
Undergrad Is the Function f(x) Continuous at x=0 Given Its Definition and Behavior?
  • kidia
  • · Replies 1 ·
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1
Graduate Accumulation/densification points.
  • Galileo
  • · Replies 3 ·
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3
Graduate How can I express the coordinates of a pentagram in the complex plane using Phi?
  • arcnets
  • · Replies 6 ·
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6
Graduate Mean ergodic theorem von Neumann
  • trosten
  • · Replies 1 ·
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1
Graduate Can A Three-String Knot be Constructed?
  • spill
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2
Graduate What is the Completeness Axiom?
  • cepheid
  • · Replies 12 ·
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12
Undergrad Is There Always a Real Number Between Two Arbitrary Real Numbers?
  • courtrigrad
  • · Replies 3 ·
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3
High School Can someone please explain to me what topology is?
  • tongos
  • · Replies 21 ·
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