Measure Theory

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Measure Theory
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math1983
Pranay
(math1983)
Doctor of Philosophy (PhD)
Ph.D. in mathematics and working as an Assistant Professor in University. I can provide help in mathematics, statistics and allied areas.
4.6/5(6,177+ sessions)
1 hr avg response
$30-$70 hourly rate
Leo
Leo
(Leo)
Doctor of Philosophy (PhD)
Hi! I have been a professor in New York and taught in a math department and in an applied math department.
4.9/5(5,942+ sessions)
2 hrs avg response
PhysMath18
Israel
(PhysMath18)
Doctor of Philosophy (PhD)
Offering help to undergraduate, graduate, and postgraduate students in subjects involving Math, Physics, and Computation.
5/5(3,665+ sessions)
3 minutes avg response
alexmatematiko
Aleksander
(alexmatematiko)
Doctor of Philosophy (PhD)
MATHEMATICS * PHYSICS * Especially good at problem solving - a winner of Physics and Mathematics Olympiads
5/5(1,977+ sessions)
25 minutes avg response
Quercus
Mladen
(Quercus)
Master of Science (M.S.)
I am a PhD student on Department of Algebra and Logic, and I have more than 5 years experience in teaching at various levels of education.
4.8/5(1,289+ sessions)
7 minutes avg response
Amor
Amr
(Amor)
Doctor of Science
I have a postdoc position at the University started from September 2020.
4.9/5(482+ sessions)
5 minutes avg response
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Measure Theory

A measure on a set is a systematic way to assign to each suitable subset a number, intuitively interpreted as the size of the subset. In this sense, a measure is a generalization of the concepts of length, area, volume, etc. Measure theory is concerned with generalizing the notions of area on arbitrary sets of Euclidean spaces and notions of length of subsets of R. Essentially, it is a common ground for analysis of real functions and set theory.

A first course in measure theory will most likely devote time to many of the following topics:

  • Functions and integrals
  • Convergence
  • Signed and complex measures
  • Product measures
  • Differentiation
  • Measures on locally compact spaces
  • Polish spaces and analytic sets
  • Haar measure
  • Operations on measures
  • Extensions
  • Structural characteristics for set functions
  • Measurable functions on monotone measure spaces
  • Integration
  • Sugeno integrals
  • Pan-integrals
  • Choquet integrals
  • Upper and lower integrals
  • Constructing general measures
  • Fuzzification of generalized measures and the Choquet integral
  • Applications of generalized measure theory


A graduate level text on measure theory is available on Amazon.com. Students can find a large number of books on this topic on Google, and there are some measure theory tutorials available online.

To fulfill our tutoring mission of online education, our college homework help and online tutoring centers are standing by 24/7, ready to assist college students who need homework help with all aspects of measure theory. Our mathematics tutors can help with all your projects, large or small, and we challenge you to find better online measure theory tutoring anywhere.

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To fulfill our tutoring mission of online education, our college homework help and online tutoring centers are standing by 24/7, ready to assist college students who need homework help with all aspects of Measure Theory.