Principles of Mathematical Analysis / Walter Rudin.
Material type: TextLanguage: English Publication details: Chennai : Mcgraw Hill Education India Pvt Ltd, 2013.Edition: 3rd EdDescription: viii, 342 p. ; 21 cmISBN:- 9789355325969
- 23 515 RUD
Item type | Current library | Collection | Call number | Status | Date due | Barcode |
---|---|---|---|---|---|---|
General Books | CUTN Central Library Sciences | Non-fiction | 515 RUD (Browse shelf(Opens below)) | Available | 50228 |
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515 RAD Problems in real analysis : | 515 RAS Mathematical Analysis and Applications | 515 ROY Real Analysis / | 515 RUD Principles of Mathematical Analysis / | 515 SHI Elementary real and complex analysis / | 515 SHI Elementary real and complex analysis / | 515 SHO Complex analysis with applications to number theory / |
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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