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Principles of Mathematical Analysis 3rd Edition

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by Walter Rudin(Author)

  • Publisher ‏ : ‎ McGraw Hill(23 August 2023)
  • Language ‏ : ‎ English
  • Paperback ‏ : ‎ 342 pages
  • ISBN-10 ‏ : ‎ 9355325967
  • ISBN-13 ‏ : ‎ 978-9355325969

Availability: 1 in stock

SKU: 9789355325969 Category:

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.

Table of Contents

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

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