Mathematics For B.Sc. Students Semester IV: MJC-5, 6, 7 | Theory of Real Functions | Group Theory | Partial Differential Equations - NEP 2020 Bihar

This textbook has been designed to meet the needs of B.Sc. Fourth Semester students of Mathematics as per Common Minimum Syllabus prescribed for Patna University and other Universities and Colleges under the recommended National Education Policy 2020 in Bihar.

This book is a comprehensive textbook designed to provide undergraduate students with a strong foundation in three essential branches of mathematics. Theory of Real Functions: Explore fundamental Concepts of Limits, Continuity, and Differentiability, along with powerful theorems like Mean Value Theorems and Taylor's Theorem for real-world applications. Group Theory: Understand the structural beauty of algebraic groups, covering key topics such as Subgroups, Cyclic Groups, Lagrange's Theorem, Homomorphisms, Automorphisms and Classic theorems like Cayley's and Cauchy's. Partial Differential Equations: Learn the formation, classification, and solution techniques of PDEs, including Lagrange's and Charpit's Methods, Fourier Series and the Method of Separation of Variables.