
Study the implementation of Multiplication and Division as functions of Add and Inversion functions.
Study the implementation of modulus, prime, factorial, root and power functions as functions of previously implemented basic functions.
Continuation of the previous lecture, along with laying the foundation of parsing an integer number, digit by digit using an implemented log function.
Implementation of digit-by-digit integer number parsing method, ASCII table, and char-int type casting.
Implementation of a function to rationalize high precision decimal point numbers.
Performing Differentiation and Integration on generated data.
Comparing two methods of Differentiation of a given mathematical function.
This course is designed for students, programmers, engineers, and anyone interested in discovering how the mathematical functions provided by the C++ Standard Math Library actually work behind the scenes. While using functions such as square root, power, trigonometric functions, and logarithms is straightforward, understanding how these powerful "black boxes" are implemented is an entirely different and fascinating challenge. This course bridges that gap by exploring the algorithms and programming techniques that make these mathematical operations possible.
Rather than treating mathematical library functions as magical tools, you will learn the logic and computational methods used to implement many of the most commonly used mathematical algorithms. Through practical coding examples and step-by-step explanations, you will gain insight into numerical methods, iterative techniques, approximations, and algorithm design principles that are widely used in scientific computing and software development.
This course is ideal for university students studying Computer Science, Software Engineering, Electrical Engineering, or related disciplines who want to deepen their understanding of computational mathematics. It is equally valuable for self-taught programmers and professionals who want to improve their algorithmic thinking and develop a stronger appreciation for the inner workings of mathematical software.
By the end of the course, you will not only know how to use mathematical library functions effectively but also understand the techniques that developers use to build them. This deeper understanding will help you write better algorithms, solve mathematical problems more efficiently, and gain confidence when working on programming challenges that require numerical computation.
Whether you are preparing for advanced programming courses, improving your problem-solving skills, or simply curious about what happens behind the scenes of the C++ Math Library, this course provides a practical and engaging learning experience. It is an excellent resource for anyone looking to strengthen both their programming knowledge and their understanding of the mathematical algorithms that power modern software.