Chapter 5

पाठ्यक्रम अभिकल्प समिति

This section provides information about the curriculum design committee responsible for the creation and review of the textbook. It lists the chairperson, coordinators, and members from various academic institutions who contributed to the development of the book. The section also mentions the editorial team and the authors involved in writing and editing the content. The details include their academic positions, affiliations, and roles in the project. Additionally, it outlines the academic and administrative arrangements for the production and distribution of the course material, including the ISBN and copyright information.

• Lists the curriculum design committee members and their roles.
• Mentions the editorial and authorial team responsible for the textbook.
• Provides academic and administrative details for course material production.
• Includes copyright and ISBN information.
• 📌 Curriculum Committee: A group of academic experts responsible for designing and reviewing the syllabus and content of the textbook.
• 📌 Editor: The person responsible for reviewing and finalizing the content.
• 📌 Author: The academic who writes the textbook content.

इकाई सं. (Table of Contents)

This section provides a detailed table of contents for the textbook 'बीजगणित' (Algebra), outlining the units covered, their titles (in both Hindi and English), and the page numbers. The contents span foundational algebraic structures such as groups, subgroups, permutation groups, cyclic groups, cosets, Lagrange's theorem, group homomorphisms, normal subgroups, quotient groups, rings, integral domains, fields, ideals, vector spaces, and related advanced topics. Each unit is clearly numbered and titled, making it easy for students to locate specific topics. The section also lists reference books at the end.

• Lists all units with titles in both Hindi and English.
• Provides page numbers for each unit for easy navigation.
• Covers a comprehensive range of algebraic topics.
• Includes a reference section for further reading.
• 📌 Group: A set with a binary operation satisfying closure, associativity, identity, and invertibility.
• 📌 Subgroup: A subset of a group that is itself a group under the same operation.
• 📌 Permutation Group: A group whose elements are permutations of a set.