Concise Introduction to Basic Real Analysis

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This book provides an introduction to Real Analysis, covering basic topics and making the subject accessible to learners from various disciplines. It includes examples, end-of-chap ter exercises, and a review of set theory. It is ideal for students, instructors, and researchers needing a basic understanding of Real Analysis. Format: Paperback / softback Length: 240 pages Publication date: 31 March 2021 Publisher: Taylor & Francis Ltd Provides a detailed explanation of the Lebesgue integralThis comprehensive textbook offers a thorough introduction to fundamental concepts in Real Analysis, ensuring accessibility to learners of all backgrounds. Its relevance extends to disciplines like mathematics, engineering, technology, and physical sciences, providing a solid foundation for advanced study. With a balanced approach, it covers both basic and essential topics, enabling readers to effortlessly grasp more complex subjects. Numerous examples and end-of-chapter exercises, accompanied by hints for solutions in critical cases, enhance the learning experience. Whether you're a student, instructor, or researcher in fields requiring a foundational understanding of Real Analysis, this book is an invaluable resource. Additionally, advanced practitioners will find it useful for refreshing their knowledge of the topic.Features:Comprehensive Coverage: The textbook provides a comprehensive overview of Real Analysis, covering a wide range of topics essential for understanding the field.Easy to Understand: The text adopts a reasonable and accessible approach, making it suitable for students with various academic backgrounds.Solved Examples and Exercises: Each chapter includes numerous solved examples and exercises to reinforce the concepts learned. These exercises provide practical application of the theory and help students develop problem-solving skills.Review of Set Theory: The book includes a brief review of the fundamentals of set theory, which is fundamental to Real Analysis.Real Number System: The text covers the real number system, including its properties, operations, and applications.Metric Spaces and Complete Metric Spaces: The book discusses the basic concepts of metric spaces and complete metric spaces, which are essential in Real Analysis.Lebesgue Integral: The book provides a detailed explanation of the Lebesgue integral, a fundamental concept in the study of measure and integration.Conclusion:This textbook is an excellent resource for anyone seeking to gain a solid foundation in Real Analysis. Its comprehensive coverage, easy-to-understand language, and practical examples and exercises make it an invaluable tool for students, instructors, and researchers alike. Whether you're embarking on a study of mathematics, engineering, or any other field that requires a deep understanding of Real Analysis, this book will be your trusted companion on the journey. Weight: 467g Dimension: 234 x 156 (mm) ISBN-13: 9780367779283 Show more