The beauty of game theory is its application to real world problems. This book commemorates the marriage of the theory and practice, not in heaven, but in the real world.
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.
A mathematics researcher searches for technologies to ensure humanity’s survival, struggling to defend scientific truth against the powerful and wealthy. The book explores philosophical ideas from mathematical perspectives and their universal application in science.
Disruption Recovery in Air Traffic
This is the first book to treat the optimisation of air traffic disruption management from a common good perspective, addressing airlines, airports, ATC providers, and the public. It describes optimisation techniques of immense value to industry professionals and academics.
This book focuses on recent advances in nonlinear analysis and optimization, with applications in fields like artificial intelligence. Presenting ideas and techniques to stimulate further research, it is a valuable reference for researchers, engineers, and students.
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.
This is the first comprehensive book on algebraic topology. It provides a walk through its main tools, including homology groups and rational homotopy theory, and discusses real applications in fields like medicine and imagery. For students, professors, and researchers.
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 is devoted to synthesis problems in the design of radiating systems (antennas). Its aim is to determine the current distribution in an antenna to produce a desired radiation pattern, using phase freedom for better approximation. It also discusses scattering problems.
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.
Semakov highlights some of the most important fundamental results related to crossings problems in the context of aviation. The result is a work that will appeal to engineers and scientists who are interested in the applications of random processes theory and its methods.
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.
This book, by experts in Network Science, covers theoretical and practical advances in this growing, interdisciplinary field. It takes the reader through essential concepts for the structural analysis of networks and their applications to real-world scenarios.
From Foundations to Philosophy of Mathematics
Explore the 20th century’s foundational crisis in mathematics. From early paradoxes to the rise of logicism, intuitionism, and formalism, this guide examines the quest for certainty and the lasting impact of Gödel’s revolutionary theorems.
This work investigates the algebraic theory of corner subrings in Banach and C*-algebras. We propose a general approach to explore when topological properties are consequences of algebraic assumptions, with results for C*-algebras and ternary rings of operators.
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.