It starts from +2 level revision of vector differentiation and runs through elementary mechanics.Then a whole big chapter for partial differentiation, through orthogonal coordinates ,leading to Lagrange's equations . Then the motivation for vector operators gradient, divergence and curl , again from +2 level and up to Integral tranformations, Jacobean, Gauss' theorem, Stoke's theorem, Green's Theorem and runs through Laplace's equations, Poisson's equations, wave equation, heat conduction equation. and their elementary solutions. Thus , this teaching of vector calculus widows into complex analysis, Calculus of variations, Fourier series , Maxwell's equations, etc. A second edition is planned to deal fuller treatment of each chapter with applications and problems.
Difference Equation by M. D. PETALE
APPLIED MATHEMATICS by M. D. PETALE
Topic on Abstract Algebra by Dr. Animesh Gupta
Fibonacci numbers and Fibonacci primes by Shubhankar Paul