Complete Algebra Textbook for B.Sc. Semester-III Mathematics

A Text Book of Algebra is an exam-oriented textbook prepared according to the latest National Education Policy (NEP) curriculum for B.A./B.Sc. Second Year (Semester-III) Mathematics students. Published by Kanha Publishing House, the book follows the syllabus prescribed for DDU Gorakhpur University and other U.P. State Universities.

The book is authored by an experienced team of mathematics educators including Dr. K.B. Gupta, Dr. A.K. Jaiswal, Dr. C.S. Singh, Dr. V.S. Chaubey, and Kiruba Seeni Anantham. It presents algebraic concepts in a clear, systematic, and student-friendly manner, making it ideal for semester examinations and competitive exam preparation.

Comprehensive Coverage of Modern Algebra

This textbook begins with the Properties of Integers, Euclidean Algorithm, Greatest Common Divisor (GCD), Congruence Relations, Euler’s Phi Function, Fermat’s and Wilson’s Theorems. It gradually introduces Algebraic Structures, Binary Operations, Sets, Functions, and Modular Arithmetic.

The book further explains Groups, Subgroups, Cyclic Groups, Order of Elements, Permutation Groups, Direct Products, Cosets, Lagrange’s Theorem, Homomorphism, Isomorphism, Normal Subgroups, Quotient Groups, Fundamental Theorem of Homomorphism, and Cayley’s Theorem with solved examples and practice questions.

Each chapter includes solved examples, exercises, and Multiple Choice Questions (MCQs) to help students strengthen conceptual understanding and perform well in university examinations.

Key Features

• Based on the latest NEP syllabus
• Suitable for B.A./B.Sc. Second Year (Semester-III) Mathematics
• Designed for DDU Gorakhpur University and other U.P. State Universities
• Written by experienced university professors
• Covers complete Algebra syllabus in one volume
• Simple, systematic, and exam-oriented presentation
• Solved examples with step-by-step explanations
• Chapter-wise Exercises and MCQs
• Helpful for university exams and competitive examinations
• Published by Kanha Publishing House

Book Details

Book Name: A Text Book of Algebra

Subject: Mathematics

Course: B.A. / B.Sc.

Year: Second Year

Semester: III (Third Semester)

Language: English

Authors:

• Dr. K.B. Gupta
• Dr. A.K. Jaiswal
• Dr. C.S. Singh
• Dr. V.S. Chaubey
• Kiruba Seeni Anantham

Publisher: Kanha Publishing House, Gorakhpur

Binding: Paperback

Curriculum: National Education Policy (NEP)

University: DDU Gorakhpur University & Other U.P. State Universities

Topics Covered

Unit I – Number Theory

• Properties of Integers
• Divisibility
• Euclidean Algorithm
• Greatest Common Divisor (GCD)
• Fundamental Theorem of Arithmetic
• Congruence Relations
• Euler’s Phi Function
• Fermat’s Theorem
• Wilson’s Theorem

Unit II – Algebraic Structures & Groups

• Sets and Functions
• Binary Operations
• Algebraic Structures
• Groups and Subgroups
• Cyclic Groups
• Order of Elements

Unit III – Advanced Group Theory

• Permutation Groups
• Direct Products
• Cosets
• Lagrange’s Theorem and Consequences

Unit IV – Homomorphism & Quotient Groups

• Homomorphism
• Isomorphism
• Cayley’s Theorem
• Normal Subgroups
• Quotient Groups
• Fundamental Theorem of Homomorphism