As digital systems grow in complexity, so do the challenges of Boolean logic. This book summarizes recent progress, describing powerful approaches to solve exceptionally complex problems, from digital circuit design and testing to the future of quantum computers.
Master Elementary Algebra to succeed in mathematics. This book bridges the gap between school and university, helping undergraduates pass mathematical analysis courses. This material has been used to improve the skills of first-year engineering students for a decade.
This volume explores the reliability of time-dependent models using a variety of concepts and techniques. It is for research-level courses in statistics, applied mathematics, and operations research, and for researchers requiring knowledge of applied probability.
This book explores research topics in graph theory and its applications, from strongly perfect graphs and reconstruction conjectures to transport networks. It is ideal for researchers interested in exploring new areas of graph theory and its applications.
Rigid Body as a Constrained System
This book presents the dynamics of spinning bodies, the most confusing topic in Classical Mechanics. Starting from the variational problem, it treats the rigid body as a system of particles, creating a simple, transparent approach that eliminates the need for extra postulates.
Science Meets Sports
This book presents sports statistics to academics and fans alike. Even without advanced math knowledge, readers will gain completely new insights into their favourite sports by combining sports analytics, data visualisation, and advanced statistical procedures.
Sectoral Structures Theory is a novel, interdisciplinary framework for studying arrangements of circular sectors. This work establishes its foundations in geometric combinatorics, graph theory, and number theory, integrating concepts from algebra, topology, and group theory.
Semirings are used in cryptography as their additive operation lacks an inverse, preventing cryptosystem breakage. This book describes such protocols and the hard math their security is based on, appealing to cryptographers and specialists in applied algebra.
Explore the wave and vibration equation, emphasizing singular solutions and physical content. This book covers applications from tsunamis and storm breakers to the ringing of bells and collapsing towers. For students, researchers, and engineers in physics and applied mathematics.
This book tackles modern methods in the modelling of extreme data, such as floods and hurricanes. It provides the latest statistical methods to predict these random phenomena and minimize damage, offering both an applied and theoretical orientation.
Statistics Meets Sports
In the world of sports, data science and analytics are leading to game-changing insights. This book provides a solid understanding of these new trends and offers the interested reader a starting point from which to dive into this blossoming field.
This book applies random process theory to physical and biological research. Using risk and storage processes—little used in physics—it explores the first-passage time, introduces a new statistical distribution, and considers the unstudied effects of entropy changes.
Computational models must be adequate for real physical processes, yet the issue of adequacy is poorly understood. This is the first book to address constructing adequate mathematical descriptions, proposing two criteria and algorithms for specialists in mathematical modeling.
This book covers the theory and practice of hypothesis testing: deciding on the plausibility of models based on data. Useful for researchers and practitioners at all levels, it discusses important practical problems and provides detailed algorithms for their solutions.
This book analyzes algorithms for stochastic phenomena like random processes and Markov chains. It presents a novel “Complex Probability Paradigm” applied to Brownian motion, making it ideal for researchers and students in mathematics, computer science, and science.
The Art of Supposition
What if our reality is shaped by what we suppose? This book introduces a groundbreaking framework, redefining the human experience through the lens of Homo Putans, the “supposing human.” Enter a world where every thought is an invitation to question, explore, and suppose.
This book covers Monté Carlo Methods and computer simulation for applications like calculating Pi, integration, areas, and volumes. It also introduces the novel Complex Probability Paradigm. For scholars and students in mathematics, computer science, and science in general.
This book presents the direct integration method, a tool for analyzing the elastic response of nonhomogeneous solids to thermal and force loadings. By reducing elasticity problems to integral equations, this method provides efficient, closed-form solutions for these materials.
This book provides insights into the dynamics of control systems, highlighting the first-time use of Morse theory to describe global dynamics. It is an accessible source of definitions, examples, theorems, and open questions for students, researchers, and professionals.
Mathematical logic is grounded on false assumptions that have impoverished knowledge. This book’s “contrastive theory of rationality” shows a better way to ground logic, resolving its foundational crisis and altering its future, with enormous implications for knowledge.
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