Principles of Mathematical Analysis
3rd Edition
9355325967
·
9789355325969
© 2024 | Published: August 17, 2023
OverviewPrinciples of Mathematical Analysis by Walter Rudin is a classic and rigorous textbook that serves as a fundamental guide to the principles and techniques of mathematical analysis. It presents a comprehensive and systematic exploration of the…
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Preface
Chapter 1: The Real and Complex Number Systems
Chapter 2: Basic Topology
Chapter 3: Numerical Sequences and Series
Chapter 4: Continuity Chapter 5: Differentiation
Chapter 6: The Riemann-Stieltjes Integral
Chapter 7: Sequences and Series of Functions
Chapter 8: Some Special Functions
Chapter 9: Functions of Several Variables
Chapter 10: Integration of Differential Forms
Chapter 11: The Lebesgue Theory Bibliography List of Special Symbols
Index
Chapter 1: The Real and Complex Number Systems
Chapter 2: Basic Topology
Chapter 3: Numerical Sequences and Series
Chapter 4: Continuity Chapter 5: Differentiation
Chapter 6: The Riemann-Stieltjes Integral
Chapter 7: Sequences and Series of Functions
Chapter 8: Some Special Functions
Chapter 9: Functions of Several Variables
Chapter 10: Integration of Differential Forms
Chapter 11: The Lebesgue Theory Bibliography List of Special Symbols
Index
Overview
Principles of Mathematical Analysis by Walter Rudin is a classic and rigorous textbook that serves as a fundamental guide to the principles and techniques of mathematical analysis. It presents a comprehensive and systematic exploration of the foundations of analysis, covering topics such as real numbers, sequences, continuity, differentiation, integration, and more. With a clear and concise writing style, Rudin emphasizes the importance of rigorous proofs and logical reasoning, challenging readers to develop their problem-solving skills. This book is widely regarded as a definitive resource for students, researchers, and mathematicians seeking a deep understanding of the fundamental concepts of mathematical analysis.
Key Features
• Presents complex mathematical ideas and proofs in a straightforward manner, making it accessible to both beginners and advanced readers.
• Adopts a rigorous approach to mathematical analysis, emphasizing the importance of formal proofs and logical reasoning.
• Covers a wide range of topics in mathematical analysis, including real numbers, sequences, limits, continuity, differentiation, integration, and series.
Principles of Mathematical Analysis by Walter Rudin is a classic and rigorous textbook that serves as a fundamental guide to the principles and techniques of mathematical analysis. It presents a comprehensive and systematic exploration of the foundations of analysis, covering topics such as real numbers, sequences, continuity, differentiation, integration, and more. With a clear and concise writing style, Rudin emphasizes the importance of rigorous proofs and logical reasoning, challenging readers to develop their problem-solving skills. This book is widely regarded as a definitive resource for students, researchers, and mathematicians seeking a deep understanding of the fundamental concepts of mathematical analysis.
Key Features
• Presents complex mathematical ideas and proofs in a straightforward manner, making it accessible to both beginners and advanced readers.
• Adopts a rigorous approach to mathematical analysis, emphasizing the importance of formal proofs and logical reasoning.
• Covers a wide range of topics in mathematical analysis, including real numbers, sequences, limits, continuity, differentiation, integration, and series.