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Principles of Mathematical Analysis / Walter Rudin.

By: Material type: TextTextLanguage: English Publication details: Chennai : Mcgraw Hill Education India Pvt Ltd, 2013.Edition: 3rd EdDescription: viii, 342 p. ; 21 cmISBN:
  • 9789355325969
Subject(s): DDC classification:
  • 23 515 RUD
Contents:
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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Holdings
Item type Current library Collection Call number Status Date due Barcode
General Books General Books CUTN Central Library Sciences Non-fiction 515 RUD (Browse shelf(Opens below)) Available 50228

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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