Details for: Cochard G. Mathematics for Digital Science 1. Fundamentals 2025

Cochard G. Mathematics for Digital Science 1. Fundamentals 2025

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2025-02-09

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Textbook in PDF format 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 first – and present – volume covers the essential mathematical foundations for approaching digital technologies and is described below, while the second volume focuses on digital information, and the third volume is devoted to data analysis and optimization. Many students opt for Computer Science-related courses early on without first acquiring the essential mathematical foundations they might need in the future. While they can certainly excel as technicians, they may not be as well prepared to become effective engineers or researchers. It should be recognized that computer science cannot be conceived without a solid mathematical basis. Advances in digital technologies have been closely linked to the support of mathematics. The pioneers of computing were above all mathematicians: Alan Turing, Claude Shannon, John Von Neumann and even Charles Babbage, who is nicknamed the grandfather of computing. Today, areas such as Artificial Intelligence, managing large datasets, and information security are at the heart of Computer Science research. Once again, it is evident that without a solid mathematical foundation, it is difficult to innovate in these areas. The digital mathematics courses offered aim to meet the need for fundamental mathematical knowledge essential for mastering and advancing digital technologies. While the book primarily targets university and engineering school students, it also serves as a resource for working IT professionals seeking to enhance their mathematical skills as part of continuing education in their respective field. 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. Preface The Concept of Logic Sets and Relationships Counting and Combinatorial Analysis Boolean Algebra and Boolean Functions Logic Circuits Arithmetic Error Protection Encryption Systems Probabilities Descriptive Statistics Probability Laws and Simulation References List of Authors Index

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1. Readme.txt1.26 KiB
2. Cochard G. Mathematics for Digital Science 1. Fundamentals 2025.pdf24.39 MiB