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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 What is the best method for plotting complex inequalities on the complex plane?
  • username12345
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Graduate What does the notation f|A mean?
  • pellman
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Graduate Open subspace of a compact space topological space
  • de_brook
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Graduate What happens to the intersection of subsets when the class is empty?
  • samkolb
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Graduate What is the meaning of equivalence classes in complex projective space?
  • Thorn
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Graduate Solving z*exp(z)=a: Proving Infinitely Many Roots
  • bndnchrs
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2
Undergrad Proving the Intersection of Open Sets is Open
  • enricfemi
  • · Replies 12 ·
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12
Graduate Solving Complex Equations: Does f(z) = 0 imply [f(z)]* = 0?
  • praharmitra
  • · Replies 5 ·
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5
Graduate What is the proof of the theorem on limit points in topology?
  • Sculptured
  • · Replies 16 ·
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16
Undergrad What is the definition of supremum and how does it relate to set A?
  • lukaszh
  • · Replies 6 ·
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6
High School What are Real and Imaginary Numbers and How Do They Relate to Each Other?
  • matt_crouch
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7
Graduate Why is \(\theta = n(\tan^{-1}(\frac{b}{a}))\) in complex exponentials?
  • Gregg
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Graduate Is Pure Mathematics a Waste of Time?
  • khemix
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Graduate Infinitely Many Turning Points: A Study of the Functions Re(t^i) and Im(t^i)
  • ben297
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High School A small problem with complex conjugations
  • Parnpuu
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2
Graduate Could use some help with a proof
  • csprof2000
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11
Undergrad Proof of the Intermediate Value Theorem?
  • jgens
  • · Replies 15 ·
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15
Undergrad Ready for Complex Analysis Course: MAA 4402
  • ibensous
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8
Graduate Show Boundedness of Entire Function f: f(z) = f(z + 2π ) & f(z + 2π i)
  • alvielwj
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5
Graduate Lebesgue Integral: Definition & Examples
  • mooberrymarz
  • · Replies 15 ·
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15
Graduate Need help on a proof from baby rudin
  • samspotting
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5
Graduate Can complex valued functions be written without using x+iy notation?
  • Heirot
  • · Replies 5 ·
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5
Graduate What constitutes a quotient map?
  • jhicks
  • · Replies 6 ·
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6
Graduate Prove Euler Identity without using Euler Formula
  • maze
  • · Replies 36 ·
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36
High School How Do Complex Number Multiplication Rules Differ from Real Number Algebra?
  • alpha01
  • · Replies 11 ·
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11
Undergrad Understanding Limit Points: Definition & Meaning
  • JG89
  • · Replies 4 ·
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4
Graduate I'm going to prove every single theorem in topology
  • mathboy
  • · Replies 47 ·
2
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Graduate Nested sequences of rational intervals
  • JG89
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2
Graduate Deeper connection between exp() and cos()?
  • Gerenuk
  • · Replies 11 ·
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11
Graduate Cauchy Sequences: Definition & a(m) Clarification
  • garyljc
  • · Replies 7 ·
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7
Graduate A physical meaning to complex integration
  • n0_3sc
  • · Replies 8 ·
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8
High School Understanding Complex Numbers: Squaring and Simplifying
  • Master J
  • · Replies 2 ·
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2
Undergrad Need help with Cauchy Theorum/Formula
  • chota
  • · Replies 1 ·
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1
Graduate Distance function from x to the Cantor set
  • Dragonfall
  • · Replies 6 ·
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6
Graduate Question regarding the definition of the complex fourier series
  • Narcol2000
  • · Replies 2 ·
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2
Graduate What if one of Dedekind cut's properties were omitted?
  • Ronn
  • · Replies 1 ·
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1
Undergrad Real Numbers: Show Base b Analogy Properties
  • Diffy
  • · Replies 1 ·
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1
Graduate Complex Variable Methods Lecture Notes
  • iopmar06
  • · Replies 4 ·
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4
Graduate How to fit a complex equation?
  • bitele
  • · Replies 3 ·
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3
Graduate Proving $\Im (\ln(-|x|))=\pi$ for All Reals
  • epkid08
  • · Replies 2 ·
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2
Graduate Is Brushing Up on Analysis Enough for a Graduate Course in Mathematical Finance?
  • esahione
  • · Replies 4 ·
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4
Undergrad What Happens to sin(i) for Complex i?
  • hadi amiri 4
  • · Replies 57 ·
2
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57
Graduate Simple Connectedness of [0,1]^k
  • quasar987
  • · Replies 3 ·
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3
Graduate Visualizing Point at Infinity - Euclidean Plane
  • Gear300
  • · Replies 3 ·
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3
Graduate Banach Space Quotient of l_1(I): Proof & Info
  • olliemath
  • · Replies 1 ·
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Graduate Complex conjugate an independent variable?
  • Chen
  • · Replies 8 ·
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8
Graduate Is regularity preserved in subsets of regular spaces?
  • ice109
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3
Undergrad Understanding the Complex Plane and Real Plane Relationship
  • chaoseverlasting
  • · Replies 9 ·
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9
Graduate Is R with the cofinite topology path connected?
  • ice109
  • · Replies 4 ·
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4
Graduate Algebraic geometry/topology - ramification - sheaf cohomology
  • bb16
  • · Replies 3 ·
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3
Graduate Euclidean Neighbourhoods are always open sets
  • lantern
  • · Replies 7 ·
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7
Undergrad Liberty League International Complex Numbers
  • Liberty Leagu
  • · Replies 7 ·
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7
Undergrad Raising a complex number to the nth power
  • magda3227
  • · Replies 7 ·
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7
Graduate Visualizing intersecting multidimensional objects.
  • Keys
  • · Replies 3 ·
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3
Undergrad How to Solve Complex Equations Involving i
  • lostinphys
  • · Replies 4 ·
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4
Graduate What is wrong with the following proof
  • snipez90
  • · Replies 3 ·
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3
Undergrad Understanding Complex & Imaginary Numbers
  • Adder_Noir
  • · Replies 14 ·
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14
High School We usually represent sqrt(-1) as i
  • svigneshkumars
  • · Replies 17 ·
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17
Undergrad Finding Real and Imaginary Parts of Complex Numbers
  • magda3227
  • · Replies 3 ·
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3
Undergrad Question about general theory of areas and volumes
  • Werg22
  • · Replies 2 ·
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2
Graduate Why is 1+i = root 2e^(pi/4+2pi k) true?
  • The_ArtofScience
  • · Replies 3 ·
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3
Graduate Can the image of f(x)=\cos x + i \sin x be proven to be the unit circle?
  • CrumpledPaper
  • · Replies 17 ·
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17
Graduate Complex Analysis: Proving Bounds for |e^z-1|
  • the1ceman
  • · Replies 3 ·
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3
Undergrad Complex Exponent Rules and Misconceptions
  • Dark Fire
  • · Replies 9 ·
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9
Graduate What are some applications of the concept of complex infinity?
  • Beer w/Straw
  • · Replies 43 ·
2
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43
Graduate Help solving problem involving inequalities
  • mlearner
  • · Replies 7 ·
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7
Undergrad Understanding the Multiplicity of Poles in Complex Analysis
  • Icosahedron
  • · Replies 8 ·
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8
Graduate Evaluating Complex Integral: Over |z|=4 Region
  • fudgenstuff
  • · Replies 5 ·
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5
Graduate Exponential law and complex numbers
  • Positronized
  • · Replies 3 ·
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3
Graduate Is f(x) as the 100th Decimal Place Digit a Function?
  • (_8^(1)
  • · Replies 8 ·
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8
Graduate An infinite amount of permutations,
  • daniel_i_l
  • · Replies 2 ·
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2
Graduate What is the proof for the Riemann Series Theorem?
  • daniel_i_l
  • · Replies 5 ·
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5
Graduate What Did Hermann Weyl Mean by We are Left with Our Symbols?
  • pivoxa15
  • · Replies 8 ·
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8
Undergrad Applications of Complex Variables
  • DaVinci
  • · Replies 8 ·
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8
Graduate Topology Questions: Isham's Modern Differential Geometry for Physicists
  • UJS
  • · Replies 3 ·
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3
Graduate Algebraic Manipulation of Euler's Identity Leads to a Strange Result
  • amolv06
  • · Replies 3 ·
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3
High School Questions about imaginary number and root of 4
  • Shing
  • · Replies 10 ·
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10
Graduate Please confirm this (functionnal analysis)
  • quasar987
  • · Replies 6 ·
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6
Graduate Covering Sphere w/ Disks: Min Required Radius k
  • Ynaught?
  • · Replies 5 ·
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5
Graduate Understanding the Concept of Open and Closed Sets in Topology
  • Ka Yan
  • · Replies 2 ·
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2
Graduate Analytic Functions and Complex Analysis: Understanding the Relationship
  • ultimateceej
  • · Replies 2 ·
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2
Graduate Does Every Topology Have a Minimal Subset Basis?
  • mathboy
  • · Replies 2 ·
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2
Graduate How did separable spaces get their name?
  • quasar987
  • · Replies 1 ·
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1
Graduate Conflicting statements from two topology textbooks
  • mathboy
  • · Replies 2 ·
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2
Graduate Typo in Real Analysis Study Page: Absolute Value of x for x<0?
  • starkind
  • · Replies 3 ·
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3
Graduate How many fixed points on a circle S/Z2?
  • Living_Dog
  • · Replies 6 ·
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6
Graduate Is there a relation between coarseness and metrizability?
  • quasar987
  • · Replies 1 ·
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1
Graduate Compactness of the unit ball in infinite dimension
  • quasar987
  • · Replies 12 ·
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12
Graduate Hausdorffness of the product topology
  • quasar987
  • · Replies 4 ·
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4
Undergrad Need hands to the Rational Set
  • Ka Yan
  • · Replies 9 ·
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9
Graduate Comparing PERFECT SET vs COMPLETE SET | Verifying Compact Sets
  • Ka Yan
  • · Replies 2 ·
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2
Graduate Help Needed: Supplementing My Mathematical Analysis Course
  • MrGandalf
  • · Replies 7 ·
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7
Graduate Trouble understanding the Gamma function
  • vcdfrexzaswq
  • · Replies 3 ·
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3
Graduate Can Two-Moves Separate Components of a Link in Knot Theory?
  • de1irious
  • · Replies 2 ·
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2
Undergrad How to map intervals of Real line
  • Diffy
  • · Replies 5 ·
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5
Graduate Solving of the Poincare' Conjecture
  • vincentm
  • · Replies 1 ·
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1
Graduate Solving Polynomials with Complex Coefficients
  • ||spoon||
  • · Replies 4 ·
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4
Graduate How do i find k in the banach fixed point theorem
  • sara_87
  • · Replies 5 ·
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5
Graduate What Does the Banach Fixed Point Theorem Mean?
  • sara_87
  • · Replies 3 ·
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3
Undergrad What is the flaw in defining i as the square root of -1?
  • Diffy
  • · Replies 6 ·
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6