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Title      : Math 3.2 Measure Theory
Subject      : Mathematics
copyright © 2018   : Karnataka State Open University
Author      : KSOU
Publisher      : Karnataka State Open University
Chapters/Pages      : 16/108
Total Price      : Rs.      : 77
 
 
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Chapters
     
Algebra of sets - Sigma Algebra and Borel Sets Total views (904)  
In this unit, we introduce the concept of algebra of sets. this unit also explains the concept of sigma algebra along with some examples. This unit provides an insight into Borel sets along with some examples.
Pages: 6
Price: Rs 0   
 
Outer measure and measurable sets Total views (899)  
This unit explains Lebesgue outer measure and its properties. It also explains Lebesgue measurable sets and its properties (Theorems).
Pages: 11
Price: Rs 8.25   
 
Lebesgue measure, nonmeasurable sets Total views (901)  
This unit defines Lebesgue measure and proves certain theorems given in this unit. It also helps in distinguishing measurable and non measurable sets.
Pages: 5
Price: Rs 3.75   
 
Measurable functions, Littlewood's three principles Total views (894)  
This unit defines measurable functions along with examples. It also explains the Littlewood's three principles and states some theorems on measurable functions.
Pages: 7
Price: Rs 5.25   
 
The Riemann Integral Total views (306)  
In this unit, we introduce the concept of Linear spaces. We give the properties of Linear spaces and some theorems related to Linear spaces. Finally, we explain the Linear operators and some theorems related to Linear operators.
Pages: 3
Price: Rs 2.25   
 
The Lebesgue Integral of a Bounded Function Over a Set of Finite Measure,Bounded Convergence Theorem Total views (284)  
In this unit, we introduce the concept of Lebesgue integrability to bounded functions over a set of finite measure.
Pages: 8
Price: Rs 6   
 
The Integral of a Non-negative function,Fatou's Lemma,Monotone Convergence Theorem Total views (280)  
In this unit, we introduce the concept of Lebesgue integral of non-negative measurable function , which is extended upto Fatou's lemma and Monotone Convergence Theorem.
Pages: 6
Price: Rs 4.5   
 
The General Lebesgue Integral, Lebesgue Convergence Theorem Total views (280)  
After studying this unit, students will be able to explain Lebesgue convergence theorem and its applications.
Pages: 3
Price: Rs 2.25   
 
Differentiation of Monotone Functions,Vitali Lemma Total views (278)  
In this unit, we introduce the concept of differentiation of monotone functions.
Pages: 3
Price: Rs 2.25   
 
Functions of Bounded Variations Total views (279)  
In this unit, students are introduced to the concept of the functions of bounded variations.
Pages: 5
Price: Rs 3.75   
 
Differentiation of an Integral Total views (279)  
In this unit, we introduce the concept of the differentiation of an integral.
Pages: 4
Price: Rs 3   
 
Absolute Continuity Total views (283)  
In this unit, students are introduced to the concept of Absolute continuity of functions.
Pages: 4
Price: Rs 3   
 
Integration, Fatou's lemma, Monotone Convergence Theorem, Lebesgue Converegence Theorem Total views (507)  
In this unit, students are introduced to the concept of the Integration, Fatou's lemma,Monotone convergence theorem and Lebesgue convergence theorem.
Pages: 7
Price: Rs 5.25   
 
Signed measures, Hahn Decomposition Theorem, The Radon-Nickodym Theorem Total views (509)  
In this unit, students are introduced to the concept of signed measures, the Hahn's decomposition theorem and the Radon - Nikodym theorem.
Pages: 9
Price: Rs 6.75   
 
Measure, Outer measure and Measurability, the Product Measures Total views (543)  
In this unit, students are introduced to the concept of Product measures.
Pages: 18
Price: Rs 13.5   
 
Measure Spaces, Finite Measure, Sigma-Finite measure,Complete Measure,Measurable Functions Total views (546)  
In this unit, students are introduced to the concept of the Measure space, Finite measure, Sigma- Finite measure, Complete measure and Measurable Functions.
Pages: 9
Price: Rs 6.75   
 


 
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