What are the practical applications of Lesbegue integration?

Click For Summary

Discussion Overview

The discussion revolves around the practical applications of Lebesgue integration within the context of measure theory. Participants share their experiences and resources related to learning about measure theory and its applications.

Discussion Character

  • Exploratory, Conceptual clarification, Homework-related

Main Points Raised

  • One participant expresses interest in finding references for measure theory, specifically mentioning Lebesgue integration.
  • Another participant recommends "Royden; Real Analysis" as a resource, asking for clarification on the specific applications of interest.
  • A different participant suggests "Lebesgue Measure on Euclidean Space" by Jones for beginners, highlighting its conceptual explanations and exercises.
  • There is a repeated mention of interest in Lebesgue integration, indicating a focus on this specific area of measure theory.

Areas of Agreement / Disagreement

Participants generally agree on the value of certain texts for learning measure theory, but there is no consensus on the specific applications of Lebesgue integration as the discussion has not yet explored this in detail.

Contextual Notes

Some participants may have varying levels of familiarity with measure theory, which could affect their understanding of its applications. The discussion does not yet address specific applications of Lebesgue integration.

Who May Find This Useful

Readers interested in measure theory, Lebesgue integration, and foundational texts in real analysis may find this discussion relevant.

smirten
Messages
2
Reaction score
0
hi, i am learing about measure theory and i am looking fore some good reference of the subjects ..
 
Physics news on Phys.org


smirten said:
hi, i am learing about measure theory and i am looking fore some good reference of the subjects ..

Royden; Real analysis

what applications are you interested in?
 


Measure theory is a very fun subject, but it can be very hard on beginners. The book of Royden is a wonderful book if you already have some knowledge on the subject and it's philosophy.
For complete beginners, I recommend the beautiful book "Lebesgue measure on Euclidean space" by Jones. It explain conceptually what measure theory is, and it presents a nice selection of exercises!
 


lavinia said:
Royden; Real analysis

what applications are you interested in?

i am interested about Lesbegue integration...
 

Similar threads

Undergrad ##L^2## square integrable function Hilbert space
  • · Replies 11 ·
Replies
11
Views
3K
Undergrad What does dv/dt mean, how is it used, and when?
  • · Replies 9 ·
Replies
9
Views
4K
Graduate Integrability, basic measure theory: seeking help with confusing result
  • · Replies 7 ·
Replies
7
Views
3K
Undergrad Opinion about an introduction of the Lebesgue integral in "Introduction to Hilbert spaces with applications"
  • · Replies 5 ·
Replies
5
Views
2K
Undergrad Applications of measurement of commutativity
  • · Replies 5 ·
Replies
5
Views
2K
Undergrad Exploring Measurements in Quantum Field Theory: From Light Cones to Bell Tests
  • · Replies 57 ·
2
Replies
57
Views
8K
Other What are some good books for learning Galois Theory?
  • · Replies 36 ·
2
Replies
36
Views
6K
Undergrad Norm of integral less than or equal to integral of norm of function
  • · Replies 3 ·
Replies
3
Views
3K
Graduate Getting the power spectral density from a plot
  • · Replies 3 ·
Replies
3
Views
2K
Undergrad von Neumann Measurement Scheme
  • · Replies 2 ·
Replies
2
Views
1K