This second volume uses vector optimization to model economic systems. Chapters cover decision-making and modeling within companies, in market systems, and for forecasting.
This book provides a self-contained and accessible introduction to dynamical systems and differential geometry via MAPLE. It is suitable for graduate and advanced students in mathematics, engineering, and physics for both self-study and teaching a semester-long course.
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.
A major problem of contemporary physics is the incompatibility of its two greatest theories: quantum mechanics and general relativity. There is a lack of an over-arching framework to unite them. This book provides an accessible guideline to a possible framework.
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.
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.
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.
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.
Experiences in the Biocontinuum
This book addresses the central question of what makes living systems unique. Building on information theory, thermodynamics, and systems theory, it forms a singular unifying concept and develops a dynamic mathematical framework for the study of life’s fundamental processes.
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.
MATLAB and its integrated tool SIMULINK are leading software packages for solving complex engineering and scientific problems. This book closes the gap between the software and its users, providing the requisite understanding to enhance employment opportunities.
This book presents the theory and methods of solving vector optimization problems. It mathematically proves an optimal solution, solving the problem for the first time, with applied methods for researchers modeling economic and engineering systems.
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 presents a simplified deliberation of fractional calculus for beginners and researchers. It shows why classical Newtonian calculus fails to describe actual systems, and discusses applications of non-integer differentiation in different areas of science and engineering.
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.
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.
This book covers the design and quality control of microwave devices using simulation and measurement. It describes methods for designing simulators of microwave amplifiers and oscillators, enabling accurate measurements and effective quality control that minimizes costs.
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.
Complex oil and gas extraction is accompanied by grave failures like drill string buckling, resonant vibrations, and bit whirling. To analyze these phenomena, this book elaborates new mathematical models and numerical methods, offering new results for designers and specialists.
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.