Title: Real Analysis
Author: Halsey Royden (Author)
Edition: 5th
Language: English
Publisher: Prentice Hall
Dimensions: 7.4 x 1.2 x 9.3 inches
ISBN-10: 013143747X
ISBN-13: 978-0131437470
Publication Date: September 25, 2008
Print Length: 496 pages
Discover the rigorous foundations of real analysis with this comprehensive and authoritative textbook. Fifth edition updates enhance clarity and depth for a deeper understanding of key concepts. Ideal for advanced undergraduate and graduate students in mathematics, this book provides a thorough treatment of measure theory, integration, and functional analysis.
Key Features:
- Detailed Proofs: Rigorous proofs and examples illustrate the fundamental ideas of real analysis
- Theoretical Depth: Extensive coverage of measure theory, Lebesgue integration, and Banach spaces
- Classroom Tested: Widely used in universities for over four decades, ensuring a proven pedagogical approach
- New Content: Updated sections on Hilbert spaces and Fourier series to reflect modern developments in the field
Benefits:
- Enhanced Learning Experience: Clear explanations and numerous examples facilitate understanding of complex concepts
- Robust Problem Sets: Over 500 exercises reinforce the material, making this an ideal textbook for self-study or classroom use
- Comprehensive Coverage: Covers all essential topics in real analysis with a focus on both theory and application
- Supportive Solutions Manual: Available separately to assist instructors and students with additional guidance