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.
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.
This illustrated guide explores moiré patterns in 1D, 2D, 3D, and time. Learn to identify, distinguish, evaluate, and control the moiré effect, and to use it in modern technologies.
This book provides a comprehensive background for analysis of the finite deformation of materials. It covers deformation geometry, stress measures, and balance laws, with applications in rubber elasticity and metal plasticity, including experiments and illustrations.
The Mysteries of Mystery Snails
This book is a comprehensive review of Chinese and Japanese mystery snails around the globe. It discusses fascinating facts on their dispersal, biology, ecology, impacts, and control, drawing from more than 900 peer-reviewed articles. For anyone interested in invasive molluscs.
The Origin of Geometry in India
The ancient Śulbasūtras, composed from 600BCE, were rule-books for making and arranging bricks, and represent the first available texts of both geometry and mensuration. This publication uses them as a lens to view the origin of geometry in India and elsewhere.
This book tackles the significant challenges of evolutionary processes with memory. It studies their properties by introducing a resolvent family to represent solutions, and explores the dual problem, solvability issues, invariant subspaces, and spectral theory.
Written by leading experts, this volume offers detailed and up-to-date findings for survey methodologists and practitioners. It deepens the reader’s understanding of the unit problem and showcases recent advances in business survey methodology and practice.
For specialists in mathematics, science, and engineering, this guide applies numerical methods to solve complex systems. Explore techniques in C++, Maple, and MATLAB through practical case studies in data analysis, optimisation, and differential equations.