Chapter 14

पाठ्यक्रम अभिकल्प समिति

This section lists the curriculum design committee responsible for the creation and review of the textbook 'वास्तविक विश्लेषण एवं दूरीक समष्टि' (Real Analysis and Metric Spaces). It includes the names, designations, and affiliations of the chairperson, coordinators, and contributing members. The committee comprises professors and lecturers from various universities and colleges in Rajasthan and other states. The section also mentions the editorial and academic administration team involved in the production and distribution of the textbook. This information is crucial for acknowledging the academic rigor and collaborative effort behind the textbook's development.

• Lists the curriculum design committee members and their affiliations.
• Acknowledges the editorial and academic administration team.
• Highlights the collaborative effort in textbook creation.
• 📌 Curriculum Design Committee: A group of subject experts responsible for planning and reviewing the course content.
• 📌 Coordinator: The person responsible for coordinating the subject matter and ensuring quality.
• 📌 Editor: The academic responsible for editing and finalizing the textbook content.

इकाई संख्या

This section provides the table of contents for the textbook 'वास्तविक विश्लेषण एवं दूरीक समष्टि'. It lists all the units (इकाई) included in the syllabus, along with their English translations and the page numbers where each unit begins. The units cover a wide range of topics in real analysis and metric spaces, including the real number system, topological properties, sequences, continuity, derivatives, limits and continuity for functions of two variables, Riemann integration, uniform convergence, metric spaces, open and closed sets, subspaces, product spaces, continuous mappings, compactness, and connectedness. This comprehensive structure ensures a logical progression from foundational concepts to advanced topics.

• Lists all units (chapters) in the textbook with page numbers.
• Covers foundational to advanced topics in real analysis and metric spaces.
• Provides both Hindi and English titles for clarity.
• 📌 Real Number System: The set of all real numbers, including rational and irrational numbers.
• 📌 Topological Properties: Properties related to the structure and behavior of sets under topology.
• 📌 Continuity: A fundamental concept in analysis describing the smoothness of functions.