Numerical Integrals and Differential Equations

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Focusing on advanced numerical methods, this guide explores a variety of practical techniques essential for scientific applications. It includes polynomial interpolation methods such as Lagrange and Newton, numerical derivatives, and various integration techniques like the trapeze method and Simpson's rules. Additionally, the book covers differential equations, including Euler and Runge-Kutta methods, along with boundary value problems. With detailed deductions of formulas, it aims to enhance students' understanding and motivation in the field of numerical methods.