This book provides a comprehensive foundation in the mathematical principles of information theory and their professional application in communications, electrical engineering, and computer science. The text establishes a rigorous theoretical framework, beginning with the fundamental concepts of Information Theory—such as entropy and mutual information—to explain the physical and mathematical necessity for efficient coding. It then provides an in-depth exploration of the two primary pillars of coding theory: Source Coding, including advanced quantization (analog-to-digital conversion) and high-efficiency compression (approaching the theoretical limits of interpretation), and Channel Coding for error detection and correction. The third part of the book integrates Data Security, covering modern cryptographic algorithms and secure network protocols essential for protecting information integrity. To a multidisciplinary extent, the content also explores the intersections of coding with Artificial Intelligence (Transformers and LSTMs) and the biological "Coding Brain." Designed for a professional and academic audience, this book is an essential resource for those developing projects in data science, industrial digital networks, IoT, and Big Data management. Through its lab-based approach and practical templates, it bridges the gap between high-level theory and real-world implementation.

Julio Cesar Garcia Alvarez received his Master’s in Electronic and Computer Engineering (2000), Doctor of Engineering - Automatics (2012). With more than twenty years as a professor at the National University of Colombia (2001 until now), I have carried out six research projects in the area of digital signal processing, multimedia and sustainable electronic systems. Before working at the university, I did research work with the scientist Jorge Reynolds Pombo (2000), who currently works at the SHAIO Clinic. Most of the time (2005-2012) I did my work mainly in digital image processing, specifically in the area of image quality assessment, which resulted in my doctoral thesis, a research internship at Aachen RWTH University, a research seedbed and three indexed articles. In the area of sustainable electronic systems, I have been working for the last six years, which has resulted in a project of social extent, an award for the same category, two master's theses, whose students have received awards in entrepreneurship, in addition to the construction of a sustainable irrigation system for greenhouses.