Mathematics for Digital Science 2 by Gérard-Michel Cochard

Mathematics for Digital Science 2: Digital Information by Gérard-Michel Cochard, Mhand Hifi
Format: .pdf
Size: 15.09 MB
Year: 2025

Over the past century, advancements in Computer Science have consistently resulted from extensive mathematical work. Even today, innovations in the digital domain continue to be grounded in a strong mathematical foundation. To succeed in this profession, both today’s students and tomorrow’s computer engineers need a solid mathematical background. The goal of this book series is to offer a solid foundation of the knowledge essential to working in the digital sector. The three-volume work compiles the lessons taught to numerous generations of students in the first two university cycles, specifically in bachelor’s/master’s degrees in Computer Science or in Computer Methods Applied to Business Management. The second – and present – volume focuses on digital information, while the third volume is devoted to data analysis and optimization. Chapters 1 and 2 of this second volume address the representation of information (such as numbers, texts, images, sounds, videos, labels) in the form of combinations of 0s and 1s. This binary representation facilitates the processing, analysis and transmission of information using computer resources. Chapter 3 addresses the classification of communication signals, both analog and digital, and introduces Fourier series analysis for periodic signals. Chapter 4 presents mathematical tools for signal analysis, including z-transforms, Fourier transforms and Laplace transforms.