In multiplicative calculus, division and multiplication replace the roles of subtraction and addition. This book is devoted to multiplicative Euclidean and non-Euclidean geometry, summarizing the most recent contributions for mathematicians, physicists, engineers and biologists.
This unique mathematical volume brings together geometers, analysts, and graph-theorists to reveal unnoticed commonalities in recent trends. Classical fixed point theory is adapted to graph theory, uncovering versatile tools for mathematicians working in either area.
Explore nonlinear physics using the asymptotic perturbation method. This textbook systematically develops the theory, from nonlinear oscillators to fractal and chaotic solutions in NPDEs. With an emphasis on applications and examples, it is ideal for a senior or graduate course.
Functional analysis studies infinite vector spaces, their topologies, and the operators between them. This book is a collection of notes, expositions, exercises, and lectures on advanced functional analysis, exploring properties such as duality, continuity, and C*-algebras.
This book covers production planning and scheduling for high-volume, high-mixture semiconductor manufacturing. It explores topics such as work-in-process management, setup times, techniques of lot batching and splitting, lot sizing, and rescheduling questions.
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 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.
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.
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.
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.
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.
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.