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Real And Abstract Analysis | By Amritava Gupta | 1st Edition | Academic Publication ( English Medium )
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Real And Abstract Analysis | By Amritava Gupta | 1st Edition | Academic Publication ( English Medium ).
"Real And Abstract Analysis" by Amritava Gupta is a meticulously crafted academic textbook aimed at advanced undergraduate and postgraduate students pursuing courses in pure mathematics. The book is designed to build a strong foundation in both real analysis and abstract analysis (functional analysis), which are core areas in mathematical theory and essential for deeper studies in modern mathematics.
The text begins with a rigorous treatment of real analysis, covering sequences, series, continuity, differentiability, Riemann integration, and measure theory. It then progresses naturally into abstract analysis, introducing concepts such as metric spaces, normed linear spaces, Banach spaces, and Hilbert spaces — forming a bridge between concrete analysis and more generalized mathematical frameworks.
Key Features:
✅ Thorough exploration of real and abstract analysis concepts
✅ Step-by-step development of theorems with proofs
✅ Includes numerous worked examples and exercises
✅ Suitable for M.Sc. and B.Sc. (Honours) level students
✅ Emphasis on mathematical rigor and logical clarity
✅ Designed for both classroom use and self-study
Topics Covered:
Sequences and Series of Real Numbers
Limits, Continuity, and Differentiation
Riemann and Lebesgue Integration
Sequences and Series of Functions
Metric Spaces and Topological Properties
Normed Linear Spaces and Convergence
Banach Spaces: Theory and Applications
Inner Product and Hilbert Spaces
Uniform Boundedness, Hahn-Banach, and Open Mapping Theorems
Functional Analysis Foundations and Examples
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SKU / BOOK Code: | AP-Real-Abs-Analy-(E) |
Publisher: | Academic Publication |
Author: | Amritava Gupta |
Binding Type: | Paperback |
No. of Pages: | As Per Publication |
ISBN-10: | 8187358447 |
ISBN-13: | NA |
Edition: | 1st Edition |
Language: | English Medium |
Publish Year: | 2025-05 |
Weight (g): | 1000 |
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 |
Real And Abstract Analysis | By Amritava Gupta | 1st Edition | Academic Publication ( English Medium ).
"Real And Abstract Analysis" by Amritava Gupta is a meticulously crafted academic textbook aimed at advanced undergraduate and postgraduate students pursuing courses in pure mathematics. The book is designed to build a strong foundation in both real analysis and abstract analysis (functional analysis), which are core areas in mathematical theory and essential for deeper studies in modern mathematics.
The text begins with a rigorous treatment of real analysis, covering sequences, series, continuity, differentiability, Riemann integration, and measure theory. It then progresses naturally into abstract analysis, introducing concepts such as metric spaces, normed linear spaces, Banach spaces, and Hilbert spaces — forming a bridge between concrete analysis and more generalized mathematical frameworks.
Key Features:
✅ Thorough exploration of real and abstract analysis concepts
✅ Step-by-step development of theorems with proofs
✅ Includes numerous worked examples and exercises
✅ Suitable for M.Sc. and B.Sc. (Honours) level students
✅ Emphasis on mathematical rigor and logical clarity
✅ Designed for both classroom use and self-study
Topics Covered:
Sequences and Series of Real Numbers
Limits, Continuity, and Differentiation
Riemann and Lebesgue Integration
Sequences and Series of Functions
Metric Spaces and Topological Properties
Normed Linear Spaces and Convergence
Banach Spaces: Theory and Applications
Inner Product and Hilbert Spaces
Uniform Boundedness, Hahn-Banach, and Open Mapping Theorems
Functional Analysis Foundations and Examples
Search Key - Real and Abstract Analysis by Amritava Gupta summary, , Real and Abstract Analysis book content, , Amritava Gupta Real and Abstract Analysis topics, , Real and Abstract Analysis Academic Publication, , Real and Abstract Analysis English medium book, , Real and Abstract Analysis 1st edition chapters, , Real and Abstract Analysis key concepts, , Real and Abstract Analysis syllabus coverage, , Real and Abstract Analysis textbook overview, , Real and Abstract Analysis mathematics reference, , Real and Abstract Analysis by Amritava Gupta questions, , Amritava Gupta analysis book explanation, , Real and Abstract Analysis theoretical foundation, , Real and Abstract Analysis solved examples, , Real and Abstract Analysis book review, , Real and Abstract Analysis core topics, , Real and Abstract Analysis subject notes, , Real and Abstract Analysis study material, , Real and Abstract Analysis functional analysis section, , Real and Abstract Analysis real analysis chapter, , Real and Abstract Analysis exam preparation, , Real and Abstract Analysis concept breakdown, , Real and Abstract Analysis learning guide, , Real and Abstract Analysis student resource, , Real and Abstract Analysis book analysis, , Real and Abstract Analysis with theorems, , Real and Abstract Analysis university reference, , Real and Abstract Analysis chapter-wise content, , Real and Abstract Analysis course material, , Real and Abstract Analysis for MSc Mathematics, ISBN: 8187358447.
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