Lecture Course On Measure And Integration | By Amritava Gupta | 1st Edition | Academic Publication ( English Medium )

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Lecture Course On Measure And Integration | By Amritava Gupta | 1st Edition | Academic Publication ( English Medium ).

"Lecture Course On Measure And Integration" by Amritava Gupta presents a clear and systematic introduction to the fundamental concepts of measure theory and integration, crucial areas in advanced mathematics with wide applications in analysis, probability theory, and related fields.

This 1st Edition is designed to guide students and researchers through the rigorous framework of measure spaces, measurable functions, Lebesgue integration, and convergence theorems. The book carefully builds from basic principles to more complex theorems, providing detailed proofs and illustrative examples that enhance understanding.

Ideal for postgraduate mathematics students, this text balances theory with practical problem-solving techniques, making it suitable for self-study as well as academic coursework.

Key Features:

✅ Detailed explanation of measure theory fundamentals

✅ Comprehensive coverage of Lebesgue measure and integration

✅ Discussion on measurable functions and convergence theorems

✅ Inclusion of exercises with varying difficulty levels

✅ Structured approach for gradual learning of advanced topics

✅ Emphasis on clarity and mathematical rigor

Topics Covered:

Introduction to Sigma-algebras and Measure Spaces

Construction of Lebesgue Measure

Measurable Functions and their Properties

Lebesgue Integration Theory

Monotone Convergence Theorem and Dominated Convergence Theorem

Fatou’s Lemma and Applications

Product Measures and Fubini’s Theorem

Signed Measures and Hahn Decomposition

Applications in Analysis and Probability

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Product Details

SKU / BOOK Code:	AP-Measure-Integra-(E)
Publisher:	Academic Publication
Author:	Amritava Gupta
Binding Type:	Paperback
No. of Pages:	As Per Publication
ISBN-10:	NA
ISBN-13:	978-8189781712
Edition:	1st Edition
Language:	English Medium
Publish Year:	2025-05
Weight (g):	500
Product Condition:	New
Reading Age:	Above 10 Years
Country of Origin:	India
Genre:	Textbooks & Study Guides
Manufacturer:	Academic Publication
Importer:	Academic Publication
Packer:	Fullfilled by Supplier

Product Description

Lecture Course On Measure And Integration | By Amritava Gupta | 1st Edition | Academic Publication ( English Medium ).

"Lecture Course On Measure And Integration" by Amritava Gupta presents a clear and systematic introduction to the fundamental concepts of measure theory and integration, crucial areas in advanced mathematics with wide applications in analysis, probability theory, and related fields.

This 1st Edition is designed to guide students and researchers through the rigorous framework of measure spaces, measurable functions, Lebesgue integration, and convergence theorems. The book carefully builds from basic principles to more complex theorems, providing detailed proofs and illustrative examples that enhance understanding.

Ideal for postgraduate mathematics students, this text balances theory with practical problem-solving techniques, making it suitable for self-study as well as academic coursework.

Key Features:

✅ Detailed explanation of measure theory fundamentals

✅ Comprehensive coverage of Lebesgue measure and integration

✅ Discussion on measurable functions and convergence theorems

✅ Inclusion of exercises with varying difficulty levels

✅ Structured approach for gradual learning of advanced topics

✅ Emphasis on clarity and mathematical rigor

Topics Covered:

Introduction to Sigma-algebras and Measure Spaces

Construction of Lebesgue Measure

Measurable Functions and their Properties

Lebesgue Integration Theory

Monotone Convergence Theorem and Dominated Convergence Theorem

Fatou’s Lemma and Applications

Product Measures and Fubini’s Theorem

Signed Measures and Hahn Decomposition

Applications in Analysis and Probability

Search Key - Lecture Course on Measure and Integration Amritava Gupta, , Amritava Gupta Measure and Integration book, , Measure and Integration lecture notes book, , Academic Publication Measure and Integration book, , Measure theory textbook Amritava Gupta, , Integration theory book by Amritava Gupta, , Measure and Integration 1st edition Amritava Gupta, , Lebesgue measure and integration book, , Measure theory and integration course book, , Amritava Gupta real analysis book, , Mathematical measure and integration textbook, , Advanced measure theory book Amritava Gupta, , Measure and integration theory for students, , Amritava Gupta lecture series on measure theory, , Measure spaces and integration book, , Sigma-algebras and measure theory Amritava Gupta, , Lebesgue integration explained book, , Measure theory proofs and problems book, , Convergence theorems measure theory book, , Mathematical analysis Measure and Integration, , Amritava Gupta advanced mathematics book, , Product measure and Fubini theorem book, , Measure and integration exercises book, , Real analysis measure and integration, , Measure theory graduate textbook Amritava Gupta, , Measure and Integration academic book English, , Measure theory fundamentals book, , Lebesgue integration course material, , Mathematical lecture series Measure and Integration, , Measure and integration study guide book, ISBN: 978-8189781712.

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