Krishna Analysis Real Analysis Post Graduate Code 852 Msc 6th Edition 300 Pages

Krishna Analysis Real Analysis Post Graduate Code 852 Msc 6th Edition 300 Pages is a comprehensive textbook designed for post-graduate students pursuing a Master of Science (MSc) in Mathematics. This book provides an in-depth exploration of real analysis, a fundamental branch of mathematics that forms the foundation for advanced studies in various domains.

• Covers a wide range of topics in real analysis, including:
  • Sets, functions, and sequences
  • Limits, continuity, and differentiation
  • Integration and measure theory
  • Functions of several variables
  • Differential forms
  • Metric spaces and topology
• Presents concepts in a clear and concise manner, with detailed explanations and examples
• Includes numerous solved problems and exercises to enhance understanding
• Provides comprehensive coverage of advanced topics, suitable for post-graduate studies

Krishna Analysis Real Analysis Post Graduate Code 852 Msc 6th Edition 300 Pages is primarily intended for post-graduate students enrolled in MSc Mathematics programs. It can also serve as a valuable reference for researchers and professionals working in fields that require a solid foundation in real analysis.

The author of this book, Dr. G.S.R. Krishna Murthy, is a renowned mathematician with extensive experience in teaching and research. He has authored several textbooks and research papers in the field of mathematics, and is highly respected for his expertise in real analysis.

Krishna's Analysis -I (Real Analysis) | Post Graduate Books | Code 852 | Msc | 6th Edition | 300+ Pages (Mathematics Book 57)

5 out of 5

Language	:	English
File size	:	5887 KB
Lending	:	Enabled

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The book is divided into eight chapters, each covering a specific topic in real analysis. The chapters are arranged in a logical sequence, building upon the concepts introduced in previous chapters.

Chapter 1: Sets, Functions, and Sequences

• Sets and subsets
• Functions and their properties
• Sequences and limits

Chapter 2: Limits, Continuity, and Differentiation

• Limits of functions
• Continuity of functions
• Differentiation of functions

Chapter 3: Integration and Measure Theory

• Riemann integral
• Measure theory
• Lebesgue integral

Chapter 4: Functions of Several Variables

• Functions of several variables
• Partial derivatives
• Multiple integrals

Chapter 5: Differential Forms

• Differential forms
• Exterior derivative
• Integration of differential forms

Chapter 6: Metric Spaces

• Metric spaces
• Convergence and completeness
• Fixed-point theorems

Chapter 7: Topology

• Topological spaces
• Continuity and homeomorphisms
• Compactness and connectedness

Chapter 8: Advanced Topics in Real Analysis

• Banach spaces and Hilbert spaces
• Fourier series and Fourier transforms
• Distributions and Sobolev spaces

Krishna Analysis Real Analysis Post Graduate Code 852 Msc 6th Edition 300 Pages is an invaluable resource for post-graduate students and researchers in mathematics. Its comprehensive coverage of real analysis topics, clear explanations, and abundance of examples and exercises make it an ideal textbook for advanced studies in the field.

Krishna's Analysis -I (Real Analysis) | Post Graduate Books | Code 852 | Msc | 6th Edition | 300+ Pages (Mathematics Book 57)

5 out of 5

Language	:	English
File size	:	5887 KB
Lending	:	Enabled

FREE