Skip to main content

Menu

Navigation

More options

Style variation

Contact us

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.

Sub-forums

Differential Geometry

Do non-orthogonal coordinate systems mean dependent coordinates?

4.6K threadsJun 22, 2026

Undergrad Do non-orthogonal coordinate systems mean dependent coordinates?

Jun 22, 2026

Filters

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

sitokinin
Dec 20, 2004 · Replies 18 · Dec 22, 2004

Replies: 18

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

daster
Dec 7, 2004 · Replies 1 · Dec 7, 2004

Replies: 1

Graduate What is the theory behind analytical continuations?

Alamino
Nov 29, 2004 · Replies 2 · Nov 29, 2004

Replies: 2

Graduate How Can You Explore Solutions for ln() with Negative Values?

Alkatran
Nov 25, 2004 · Replies 3 · Nov 26, 2004

Replies: 3

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

Claire84
Nov 14, 2004 · Replies 19 · Nov 16, 2004

Replies: 19

Graduate De Branges and the Riemann Hypothesis

Castilla
Nov 12, 2004 · Replies 1 · Nov 12, 2004

Replies: 1

Graduate Aysmptotics : Need help with residues

saint_n
Oct 26, 2004 · Replies 5 · Oct 26, 2004

Replies: 5

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

cj
Oct 24, 2004 · Replies 7 · Oct 25, 2004

Replies: 7

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

AlanPartr
Oct 24, 2004 · Replies 3 · Oct 24, 2004

Replies: 3

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

danitaber
Sep 17, 2004 · Replies 20 · Oct 12, 2004

Replies: 20

High School Is My Approach to Simplifying Complex Fractions Correct?

JasonRox
Oct 7, 2004 · Replies 19 · Oct 12, 2004

Replies: 19

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

JasonRox
Oct 11, 2004 · Replies 5 · Oct 11, 2004

Replies: 5

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

JasonRox
Sep 30, 2004 · Replies 25 · Oct 5, 2004

Replies: 25

Graduate What Are the Key Concepts and Applications of Topology?

devious_
Oct 1, 2004 · Replies 20 · Oct 4, 2004

Replies: 20

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

Gonzolo
Oct 2, 2004 · Replies 1 · Oct 2, 2004

Replies: 1

Undergrad What is e^(pi*i) = - 1? Learn How to Solve it

DennisG
Sep 29, 2004 · Replies 4 · Sep 29, 2004

Replies: 4

Graduate Chess/Math Puzzle: A Topological Approach

janzizka
Sep 27, 2004 · Replies 25 · Sep 28, 2004

Replies: 25

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

johnwalton84
Sep 26, 2004 · Replies 4 · Sep 26, 2004

Replies: 4

Graduate Is a Hilbert space over the quaternions separable?

humanino
Sep 25, 2004 · Replies 7 · Sep 25, 2004

Replies: 7

Graduate Interpreting Imaginary Component Amplitudes in Fourier Series

da_willem
Sep 22, 2004 · Replies 3 · Sep 22, 2004

Replies: 3

Undergrad Is the Complex Number z on a Circle?

scoutfai
Sep 1, 2004 · Replies 9 · Sep 5, 2004

Replies: 9

Graduate Complex numbers / cartesian equations etc

dj_silver
Jul 27, 2004 · Replies 8 · Aug 25, 2004

Replies: 8

High School Real & Imaginary Parts of Complex Signals Explained

inadaze
Aug 20, 2004 · Replies 5 · Aug 20, 2004

Replies: 5

Graduate ElementaryFunctions/Exp/06/GraphingOnTheComplexPlane

Saint Medici
Aug 10, 2004 · Replies 5 · Aug 11, 2004

Replies: 5

Graduate Understanding Notation for Hyperbolic Functions with Complex Numbers

Gonzolo
Aug 2, 2004 · Replies 9 · Aug 3, 2004

Replies: 9

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

kishtik
Aug 1, 2004 · Replies 5 · Aug 2, 2004

Replies: 5

Graduate Discover Topology Interest - Helpful Sites & Resources

europium
Jul 14, 2004 · Replies 5 · Jul 16, 2004

Replies: 5

Undergrad Distance between two complex numbers

naav
Jun 27, 2004 · Replies 4 · Jun 28, 2004

Replies: 4

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

naav
Jun 22, 2004 · Replies 17 · Jun 27, 2004

Replies: 17

Graduate Understanding Stalks and Direct Limits in Algebraic Geometry

Hurkyl
Jun 3, 2004 · Replies 11 · Jun 27, 2004

Replies: 11

Graduate Geometric Arguments for Z1-Z2 in Complex Plane

Ed Quanta
Jun 25, 2004 · Replies 5 · Jun 26, 2004

Replies: 5

Undergrad Solve Complex Equations | Helpful Tips for Troublesome Equations

Ed Quanta
Jun 25, 2004 · Replies 7 · Jun 25, 2004

Replies: 7

High School Understanding the Science behind the Mysterious Mobius Strip

Imparcticle
Jun 11, 2004 · Replies 5 · Jun 11, 2004

Replies: 5

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

fourier jr
May 3, 2004 · Replies 4 · May 7, 2004

Replies: 4

Graduate Small problem, can anyone help?

Vlad
May 5, 2004 · Replies 1 · May 6, 2004

Replies: 1

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

galipop
Apr 24, 2004 · Replies 6 · Apr 25, 2004

Replies: 6

Graduate What is the Purpose of Topology in Mathematics?

FulhamFan3
Apr 18, 2004 · Replies 3 · Apr 20, 2004

Replies: 3

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

matt grime
Apr 6, 2004 · Replies 4 · Apr 7, 2004

Replies: 4

Graduate Determining All Continuous Functions s.t.

quddusaliquddus
Apr 6, 2004 · Replies 9 · Apr 6, 2004

Replies: 9

Undergrad Solve Complex Equation z^2 - (7+i)z + 24 + 7i = 0

newton1
Apr 6, 2004 · Replies 6 · Apr 6, 2004

Replies: 6

Undergrad What are the errors in this complex number equation?

expscv
Mar 31, 2004 · Replies 5 · Mar 31, 2004

Replies: 5

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

Jules
Mar 3, 2004 · Replies 15 · Mar 5, 2004

Replies: 15

Graduate Topology: Line Segment Equivalent to a Point

phoenixthoth
Feb 7, 2004 · Replies 29 · Feb 12, 2004

Replies: 29

Undergrad Can Arcsin(i2x) be Simplified to iArcsin(2x)?

Gunni
Feb 12, 2004 · Replies 8 · Feb 12, 2004

Replies: 8

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

Derivative86
Jan 9, 2004 · Replies 2 · Jan 9, 2004

Replies: 2

High School Understanding Euler's Formula for Complex Numbers - Tips for Evaluating e^ix

AndersHermansson
Dec 24, 2003 · Replies 10 · Dec 25, 2003

Replies: 10

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

Organic
Nov 19, 2003 · Replies 4 · Nov 22, 2003

Replies: 4

Undergrad What? 2 parallel lines meet at infinity?

brum
Oct 6, 2003 · Replies 13 · Oct 28, 2003

Replies: 13

Undergrad Evaluating complex multiplication?

Loren Booda
Oct 26, 2003 · Replies 4 · Oct 26, 2003

Replies: 4

Undergrad What are the solutions to equations involving complex numbers?

dcl
Oct 24, 2003 · Replies 2 · Oct 24, 2003

Replies: 2

Graduate The notion of continuity applied to sets

phoenixthoth
Oct 20, 2003 · Replies 4 · Oct 20, 2003

Replies: 4

Graduate Circle's area and the CH problem

Organic
Oct 8, 2003 · Replies 12 · Oct 10, 2003

Replies: 12

Graduate Decision problem in nonstandard analysis

phoenixthoth
Oct 2, 2003 · Replies 2 · Oct 2, 2003

Replies: 2

Graduate Stone-von Neumann theorem & modern analog

marcus
Aug 1, 2003 · Replies 21 · Aug 29, 2003

Replies: 21

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

Doron Shadmi
Aug 5, 2003 · Replies 30 · Aug 10, 2003

2

Replies: 30

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

Kalimaa23
Jul 15, 2003 · Replies 3 · Jul 16, 2003

Replies: 3

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

Lonewolf
Jul 1, 2003 · Replies 3 · Jul 1, 2003

Replies: 3

Graduate Topology and algebraic topology?

Lonewolf
Jun 30, 2003 · Replies 3 · Jun 30, 2003

Replies: 3

Graduate Can Knots Exist in Higher Dimensions?

dsrw
Jun 28, 2003 · Replies 1 · Jun 28, 2003

Replies: 1

Undergrad Complex solution using graph shadows.

Duom02
May 27, 2003 · Replies 1 · May 27, 2003

Replies: 1

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

newton1
Apr 2, 2003 · Replies 2 · Apr 2, 2003

Replies: 2

Graduate Math Magic Trick: Equidcomposability & the Banach-Tarski Paradox

ahrkron
Mar 26, 2003 · Replies 10 · Mar 30, 2003

Replies: 10

Graduate What Are the Different Spaces Explored by Physicists and Mathematicians?

Ben-CS
Mar 24, 2003 · Replies 3 · Mar 25, 2003

Replies: 3

sidebar

Topology and Analysis

Welcome to the Topology forum!

Topology and analysis are two branches of mathematics that investigate the properties of spaces and functions, respectively. Topology is concerned with the study of the properties that remain unchanged under continuous deformations, such as stretching or bending, but not tearing. It explores concepts like continuity, connectedness, and compactness.

Analysis, on the other hand, is focused on understanding the behavior of mathematical functions and sequences. It deals with limits, continuity, differentiation, and integration, providing tools for a detailed examination of functions. Both topology and analysis play integral roles in diverse areas of mathematics and find applications in various scientific and engineering disciplines.

Together, they contribute to a deeper understanding of the structure and properties of mathematical objects.

Top