Transforms are mathematical operations that change the form of a function or data set while preserving its essential properties. Common types of transforms include the Fourier Transform, which converts a signal from the time domain to the frequency domain, and the Laplace Transform, which simplifies the analysis of dynamic systems. These tools help in solving complex problems in engineering, physics, and signal processing.
In everyday life, transforms can be seen in image processing, where techniques like the Discrete Cosine Transform help compress images for storage. By transforming data, we can analyze and manipulate it more effectively, making it easier to understand and work with in various applications.