NUMERICAL DIFFERENTIATION AND INTEGRATION

Description:
Explore the intricacies of numerical methods for differentiation and integration in this comprehensive 42-page booklet measuring 6x9 inches. Delve into the following key sections:
Introduction: Begin your journey into the world of numerical methods for calculus with a solid foundation.
Numerical Differentiation: Learn techniques for approximating derivatives numerically, essential for a variety of applications.
Numerical Integration: Discover methods for approximating definite integrals numerically, enabling the computation of areas under curves efficiently.
General Quadrature Formula: Explore a versatile formula for numerical integration that can handle a wide range of functions.
Trapezoidal Rule: Understand and apply this fundamental method for numerical integration based on approximating the area under a curve with trapezoids.
Simpson's One-Third Rule: Dive into this higher-accuracy numerical integration method that approximates the area under a curve using quadratic polynomials.
Simpson's Three-Eight Rules: Delve deeper into numerical integration with this rule, which employs cubic polynomials to enhance accuracy.
Boole's Rule: Explore this numerical integration technique that uses fourth-degree polynomials for even more precise approximations of definite integrals.
Weddle's Rule: Learn about this advanced method for numerical integration, offering superior accuracy by using higher-degree polynomials.
Euler-Malaren's Formula: Discover this formula, which connects integration and differentiation, providing insights into the behavior of sums and integrals.