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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Product Details

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

Product Description

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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