Principles of Mathematical Physics by Dr. S.P. Kuila (NCBA)

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Core Areas & Chapters Covered

The text structurally spans 23 intensive chapters, covering fundamental algebraic mechanics to complex variables and boundary value problems:

Linear Algebra & Matrices: Determinants, matrices, and linear vector spaces.
Vector Calculus & Coordinate Systems: Scalar and cross products, vector differentiation, vector integration, curvilinear coordinates, and practical applications of vectors.
Complex Analysis & Special Functions: Infinite series, complex variables, Beta and Gamma functions, and advanced special functions.
Transforms & Series: Fourier series, Fourier transformations, and Laplace transforms.
Differential Equations: Ordinary differential equations (I & II), series solutions of differential equations, partial differentiation, partial differential equations, and their targeted physics applications.
Advanced Calculus & Probability: Multiple integrals and probability theory.