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Dive into the fundamental concepts of Algebra, Numerical Methods, Matrices, Theory of Equations, Trigonometry, and Differential Calculus with this comprehensive textbook. Delve into the realm of algebraic operations, including summation of series and numerical methods such as Newton-Raphson method and interpolation formulae. Explore the intricate world of matrices, eigenvalues, and eigenvectors, along with the application of Cayley-Hamilton theorem in matrix inversion. Discover the theory of equations, trigonometric expansions, and differential calculus, including successive differentiation and maxima and minima of functions. With clear explanations and illustrative examples, this book equips students with the necessary tools to tackle complex mathematical problems and excel in their studies. Whether you're a novice or an experienced learner, this book serves as an invaluable resource for mastering foundational mathematical concepts.