Mathematics for Digital Science, Volume 2: Digital InformationКНИГИ » ПРОГРАММИНГ
Название: Mathematics for Digital Science, Volume 2: Digital Information Автор: Gérard-Michel Cochard, Mhand Hifi Издательство: Wiley-ISTE Год: 2025 Страниц: 353 Язык: английский Формат: pdf (true) Размер: 15.1 MB
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. Across three volumes, it explores fundamental principles, digital information, data analysis, and optimization. Whether the reader is pursuing initial training or looking to deepen their expertise, the Mathematics for Digital Science series revisits familiar concepts, helping them refresh and expand their knowledge while also introducing equally essential, newer topics.
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 first volume covers the essential mathematical foundations for approaching digital technologies. 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.
Chapter 5 is dedicated to the digitalization of analog signals, while Chapters 6 and 7 focus on signal processing, specifically modulation and filtering.
The following four chapters are devoted to digital images. Chapter 8 presents the characteristics of digital images. Chapter 9 describes the main techniques of 2D computer graphics. Chapter 10 covers the fundamental elements of image processing and analysis, while Chapter 11 explains the essential concepts of image compression.
Finally, Chapter 12 describes the main algorithms of numerical analysis used to find approximate solutions to problems that are difficult to solve.
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Mathematics for Digital Science, Volume 2: Digital Information 
