Mathematical Methods B.Sc.3rd Sem. Ramprasad

    Mathematical Methods Part-2   is an essential textbook designed for B.Sc. 2nd Year 3rd Semester students, meticulously authored by distinguished academicians Dr. R.C. Singh Chandel, Dr. Vidya Sagar Chaubey, Dr. Vijai Shankar Verma, and Dr. Prateek Mishra. Spanning 372 pages, this comprehensive book delves into advanced mathematical methods crucial for a profound understanding of higher mathematics.

Each author, representing renowned institutions such as D.V. (P.G.) College in Orai, B.R.D. (P.G.) College in Deoria, D.D.U. Gorakhpur, and M.L.K. (P.G.) College in Balrampur, contributes their extensive expertise to this collaborative work. The textbook offers a balanced and insightful approach to complex mathematical concepts, supported by detailed explanations, illustrative examples, and practical applications.

                    Contents Overview:

• Unit V:
  1. Limit and Continuity of Functions of Two Variables: Explore the foundational concepts of limits and continuity in multivariable functions (Pages 1-32).
  2. Differentiability of Real Valued Function of Two Variables, Schwarz’s and Young’s Theorems: Understand the intricacies of differentiability and key theorems (Pages 33-64).
  3. Taylor’s Theorem for Functions of Two Variables: Delve into the Taylor series expansion for multivariable functions (Pages 65-74).
  4. Maxima and Minima of Functions of Two Variables: Learn techniques to find local and global extrema (Pages 75-112).
  5. Jacobians: Study the applications of Jacobians in transformations (Pages 113-146).
• Unit VI: 6. Laplace Transforms: Comprehensive coverage of Laplace transformations and their properties (Pages 147-176). 7. Differentiation and Integration of Transforms: Techniques for differentiating and integrating transformed functions (Pages 177-194). 8. The Inverse Laplace Transform: Methods to find inverse transforms and the convolution theorem (Pages 195-248). 9. Solution of Differential Equations Using the Laplace Transform: Practical applications of Laplace transforms in solving differential equations (Pages 249-262).
• Unit VII: 10. Fourier Series: In-depth exploration of Fourier series and their applications (Pages 263-310). 11. Finite and Infinite Fourier Transforms and Fourier Integral: Advanced study of Fourier transforms and integrals (Pages 311-328).
• Unit VIII: 12. Variational Problems with Fixed Boundaries: Detailed analysis of variational problems and methods (Pages 329-371).

This textbook not only prepares students for examinations but also builds a solid foundation for future studies and research in mathematics and related fields. Its rigorous approach and thorough coverage make Mathematical Methods Part-2 an indispensable guide for students and educators in the realm of higher mathematics.