Chapter 4

पाठ्यक्रम अभिकल्प समिति

This section lists the academic and administrative contributors to the textbook 'बीजगणित' (Algebra) published by Vardhman Mahaveer Open University, Kota. It includes the names and designations of the chairperson, coordinators, subject experts, editors, and authors. The section also mentions the ISBN number and copyright information, stating that no part of this material may be reproduced without written permission from the university. The contributors are from various universities and colleges across Rajasthan and Madhya Pradesh, reflecting a collaborative academic effort.

• Lists academic contributors and their roles.
• Mentions copyright and ISBN details.
• Shows collaborative effort from multiple institutions.
• 📌 Chairperson: Head of the curriculum design committee.
• 📌 Coordinator: Responsible for subject coordination.
• 📌 Editor: Oversees content editing and quality.

इकाई सं. इकाई पृष्ठ संख्या

This section provides a detailed breakdown of the units (इकाई) covered in the textbook 'बीजगणित', along with their respective page numbers. The units span foundational algebraic structures, including groups, subgroups, permutation groups, cyclic groups, cosets, Lagrange's theorem, group homomorphism, normal subgroups, quotient groups, rings, integral domains, fields, ring homomorphism, ideals, vector spaces, basis, dimension, linear independence, and more. Each unit is mapped to its page range, allowing students to navigate the textbook efficiently. This structure ensures comprehensive coverage of algebraic concepts required for B.Sc. Mathematics, Part III.

• Lists all units and their page numbers.
• Covers foundational and advanced algebraic structures.
• Facilitates easy navigation of the textbook.
• 📌 Group: A set with a binary operation satisfying closure, associativity, identity, and invertibility.
• 📌 Subgroup: A subset of a group that itself forms a group under the same operation.
• 📌 Permutation Group: Group formed by permutations of a set.