Topology and Analysis Forum

Participate in expert discussion on topology and analysis topics. This includes point-set topology, Real, complex, harmonic and functional analysis. Also measure and integration theory.

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Threads

Graduate Can A Three-String Knot be Constructed?

  • spill
  • · Replies 2 ·
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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 What is topology?

  • tongos
  • · Replies 21 ·
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21

High School What Are the Best Sources and Theories on Complex Numbers?

  • sitokinin
  • · Replies 18 ·
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18

Undergrad Can someone explain the property of complex conjugates in this equation?

  • daster
  • · Replies 1 ·
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1

Graduate What is the theory behind analytical continuations?

  • Alamino
  • · Replies 2 ·
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2

Graduate Finding the error in ln(-e) = 1

  • Alkatran
  • · Replies 3 ·
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3

Undergrad What are the solutions for ln(z) = -1?

  • Claire84
  • · Replies 19 ·
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19

Graduate De Branges and the Riemann Hypothesis

  • Castilla
  • · Replies 1 ·
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1

Graduate Calculating residues of Riemann zeta and gamma functions

  • saint_n
  • · Replies 5 ·
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5

Undergrad What is the real part of a function like f(z)= √(z)?

  • cj
  • · Replies 7 ·
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7

Undergrad Solving Complex Equation: z^4 + 1/2(1 - i3^(1/2)) = 0

  • AlanPartr
  • · Replies 3 ·
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3

Graduate What Are the Physical Implications of Complex Numbers in Quantum Mechanics?

  • danitaber
  • · Replies 20 ·
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20

High School Is My Approach to Simplifying Complex Fractions Correct?

  • JasonRox
  • · Replies 19 ·
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19

Undergrad Question:How can I solve the complex equation z^4-2z^2+4=0?

  • JasonRox
  • · Replies 5 ·
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5

High School What is the relationship between complex numbers and conjugates?

  • JasonRox
  • · Replies 25 ·
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25

Graduate What Are the Key Concepts and Applications of Topology?

  • devious_
  • · Replies 20 ·
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20

Graduate What is a Klein bottle and its role in mathematics?

  • Gonzolo
  • · Replies 1 ·
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1

Undergrad What is Euler's formula e^(πi) = -1 and how does it work?

  • DennisG
  • · Replies 4 ·
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4

Graduate Chess/Math Puzzle: A Topological Approach

  • janzizka
  • · Replies 25 ·
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25

Undergrad Complex numbers (5+2i)=SQRT(x+iy)

  • johnwalton84
  • · Replies 4 ·
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4

Graduate Is a Hilbert space over the quaternions separable?

  • humanino
  • · Replies 7 ·
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7

Graduate Interpreting Imaginary Component Amplitudes in Fourier Series

  • da_willem
  • · Replies 3 ·
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3

Undergrad Is the Complex Number z on a Circle?

  • scoutfai
  • · Replies 9 ·
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9

Graduate Complex numbers / cartesian equations etc

  • dj_silver
  • · Replies 8 ·
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8

High School What do real and imaginary parts of a complex signal mean?

  • inadaze
  • · Replies 5 ·
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5

Graduate ElementaryFunctions/Exp/06/GraphingOnTheComplexPlane

  • Saint Medici
  • · Replies 5 ·
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5

Graduate Understanding Notation for Hyperbolic Functions with Complex Numbers

  • Gonzolo
  • · Replies 9 ·
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9

Undergrad Calculating (a+bi)^(c+di): How to Find it?

  • kishtik
  • · Replies 5 ·
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5

Graduate Good resources for learning topology

  • europium
  • · Replies 5 ·
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5

Undergrad Distance between two complex numbers

  • naav
  • · Replies 4 ·
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4

Undergrad Solutions to four complex numbers showing how arg(z) is obtained

  • naav
  • · Replies 17 ·
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17

Graduate Understanding Stalks and Direct Limits in Algebraic Geometry

  • Hurkyl
  • · Replies 11 ·
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11

Graduate Geometric Arguments for Z1-Z2 in Complex Plane

  • Ed Quanta
  • · Replies 5 ·
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5

Undergrad Solving z² + z + 1 = 0 for complex z

  • Ed Quanta
  • · Replies 7 ·
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7

High School Why does my paper Möbius strip have two sides instead of one?

  • Imparcticle
  • · Replies 5 ·
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5

Graduate Victoria Math Forum: Analysis or Algebra? Let's Discuss!

  • fourier jr
  • · Replies 4 ·
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4

Graduate Essential singularity of 1/f when f has essential singularity

  • Vlad
  • · Replies 1 ·
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1

Graduate What are the values of z that satisfy the equation e^z = 1 + sqrt(3)i?

  • galipop
  • · Replies 6 ·
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6

Graduate What is the Purpose of Topology in Mathematics?

  • FulhamFan3
  • · Replies 3 ·
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3

Graduate Solution to quddusaliquddus's cont func. questions if you want it

  • matt grime
  • · Replies 4 ·
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4

Graduate Determining All Continuous Functions s.t.

  • quddusaliquddus
  • · Replies 9 ·
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9

Undergrad Complex quadratic equation z^2 - (7+i)z + 24 + 7i = 0

  • newton1
  • · Replies 6 ·
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6

Undergrad What are the errors in this complex number equation?

  • expscv
  • · Replies 5 ·
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5

Graduate What are 'inf' and 'sup' and how do they relate to dynamics on time scales?

  • Jules
  • · Replies 15 ·
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15

Graduate Is a totally ordered set with the order topology homeomorphic to a point?

  • phoenixthoth
  • · Replies 29 ·
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29

Undergrad Does sin(ix) = i·sin(x), and can arcsin(i2x) = i·arcsin(2x)?

  • Gunni
  • · Replies 8 ·
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8

Undergrad Can "Real Powers" Give You a Rational Number?

  • Derivative86
  • · Replies 2 ·
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2

High School How does Euler's formula e^ix equal cos x + i sin x?

  • AndersHermansson
  • · Replies 10 ·
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10

Graduate How Does Riemann's Translucent Ball Illustrate Complex Plane Shadows?

  • Organic
  • · Replies 4 ·
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4

Undergrad What? 2 parallel lines meet at infinity?

  • brum
  • · Replies 13 ·
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13

Undergrad Evaluating complex multiplication?

  • Loren Booda
  • · Replies 4 ·
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4

Undergrad What are the solutions to equations involving complex numbers?

  • dcl
  • · Replies 2 ·
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2

Graduate The notion of continuity applied to sets

  • phoenixthoth
  • · Replies 4 ·
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4

Graduate Circle's area and the CH problem

  • Organic
  • · Replies 12 ·
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12

Graduate Decision problem in nonstandard analysis

  • phoenixthoth
  • · Replies 2 ·
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2

Graduate Stone-von Neumann theorem and loop quantum gravity analogs

  • marcus
  • · Replies 21 ·
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21

Graduate Can |R| be uncountable but not a Continuum?

  • Doron Shadmi
  • · Replies 30 ·
2
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30

Graduate What are the differences between the filter and net approaches in topology?

  • Kalimaa23
  • · Replies 3 ·
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3

Undergrad How do we express complex powers like 21+i in standard form?

  • Lonewolf
  • · Replies 3 ·
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3

Graduate Topology and algebraic topology?

  • Lonewolf
  • · Replies 3 ·
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3

Graduate Can Knots Exist in Higher Dimensions?

  • dsrw
  • · Replies 1 ·
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1

Undergrad Complex solution using graph shadows.

  • Duom02
  • · Replies 1 ·
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1

High School What are complex numbers and how do they differ from real numbers?

  • newton1
  • · Replies 2 ·
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2

Graduate Equidcomposability and the Banach-Tarski paradox

  • ahrkron
  • · Replies 10 ·
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10

Graduate Various spaces used by physicists and mathematicians

  • Ben-CS
  • · Replies 3 ·
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3