Introduction to Partial Differential Equation [Including Power Series Solution] and Laplace Transform By Dipak Kumar Ghosh Publisher: New Central Book Agency (NCBA)

Name: Introduction to Partial Differential Equation [Including Power Series Solution] and Laplace Transform By Dipak Kumar Ghosh Publisher: New Central Book Agency (NCBA) - Booksbp.com
SKU: 9789352550821
Price: 590.00 INR
Availability: InStock

Original price was: ₹735.00.Current price is: ₹590.00.

SKU: 9789352550821

Core Concepts Covered in this Topic:-

Partial Differential Equations (PDEs): Mathematical equations involving an unknown function of multiple independent variables and its partial derivatives. They are fundamental for modeling real-world phenomena like fluid flow, heat propagation, quantum mechanics, and sound waves.
Power Series Solutions: A method used to find explicit solutions for differential equations when standard analytical integration is difficult. This assumes the solution can be written as an infinite geometric-like sum (Taylor or Frobenius series) near specific points.
Laplace Transform: An integral transform that converts differential equations in the “time domain” into algebraic equations in the “frequency domain”. This process drastically simplifies the computation needed to solve complex initial-value problems.

Target Academic Curriculum

This combined topic is universally taught across multiple disciplines, typically found in:

Undergraduate Mathematics & Physics: B.Sc. (Hons) and M.Sc. curricula focusing on mathematical physics, classical mechanics, and advanced analysis.
Engineering Disciplines: B.Tech / B.E. programs (Electrical, Mechanical, and Civil Engineering) where calculating system stability and wave dynamics is required.