What are the practical applications of Lesbegue integration?

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Lebesgue integration is a key topic within measure theory, and understanding its practical applications can be challenging for beginners. Recommended resources include "Real Analysis" by Royden for those with some background knowledge and "Lebesgue Measure on Euclidean Space" by Jones for complete beginners, which offers conceptual insights and exercises. The discussion emphasizes the importance of foundational knowledge in measure theory to grasp the complexities of Lebesgue integration. Participants express a shared interest in exploring the applications of Lebesgue integration further. Engaging with these recommended texts can enhance understanding and application of the subject.
smirten
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hi, i am learing about measure theory and i am looking fore some good reference of the subjects ..
 
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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...
 

Thread 'How does this derivative work? And why the speed of light remains?'

Relativistic Momentum, Mass, and Energy Momentum and mass (...), the classic equations for conserving momentum and energy are not adequate for the analysis of high-speed collisions. (...) The momentum of a particle moving with velocity ##v## is given by $$p=\cfrac{mv}{\sqrt{1-(v^2/c^2)}}\qquad{R-10}$$ ENERGY In relativistic mechanics, as in classic mechanics, the net force on a particle is equal to the time rate of change of the momentum of the particle. Considering one-dimensional...
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