Exploring the fundamentals of group theory, this book delves into essential concepts such as the definition of groups, the significance of abelian groups, and the intricacies of cosets, Lagrange's theorem, and Sylow theorems. It highlights the application of group theory in lattice fields and its foundational role in various applied sciences, making it a critical area of study for those interested in algebraic structures and their real-world implications.
Focusing on high-data-rate transmission through plastic optical fibers, this book offers a comprehensive overview of both foundational concepts and advanced techniques in multilevel communication. It includes detailed circuit diagrams and clearly presented results, making it a valuable resource for those interested in the latest developments in the field.
Exploring the intersection of mathematics and psychology, this work delves into the paradoxes inherent in human behavior and decision-making. It highlights the evolution of mathematical psychology from early theorists like Weber to contemporary figures such as Busemeyer and Falmagne. The book emphasizes the importance of a non-paradoxical methodology for understanding psychological phenomena, particularly in relation to economics and computer science. It also examines the connections between psychology, neurology, and decision-making under uncertainty, positioning mathematical psychology as a vital tool for addressing complex human issues.
Exploring the intersection of magnetism and set theory, this work delves into dimension problems, specifically within the Heisenberg and Ising models. It presents a proof regarding the cardinality of magnetic domains and employs fixed Brouwer theory to analyze their motion. The author proposes a unified theoretical model for magnetism and applies the mathematics of belief revision to develop a framework for understanding ferro-para phenomena. This intricate study bridges complex concepts in physics and mathematics.
Focusing on the application of set theory, this book presents a mathematical model for magnetic transitions, specifically examining the impact of diffusion on residual magnetic domains. Utilizing advanced mathematical techniques, the author, Mohamed Atef, builds on his research published in the Journal of "Theoretical Mathematics and Applications," offering valuable insights into the interplay between diffusion processes and magnetic properties.
This book describes the newest implementations of integrated photodiodes fabricated in nanometer standard CMOS technologies. It also includes the required fundamentals, the state-of-the-art, and the design of high-performance laser drivers, transimpedance amplifiers, equalizers, and limiting amplifiers fabricated in nanometer CMOS technologies. This book shows the newest results for the performance of integrated optical receivers, laser drivers, modulator drivers and optical sensors in nanometer standard CMOS technologies. Nanometer CMOS technologies rapidly advanced, enabling the implementation of integrated optical receivers for high data rates of several Giga-bits per second and of high-pixel count optical imagers and sensors. In particular, low cost silicon CMOS optoelectronic integrated circuits became very attractive because they can be extensively applied to short-distance optical communications, such as local area network, chip-to-chip and board-to-board interconnects as well as to imaging and medical sensors.
