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.
Go on a mathematical adventure that challenges you to think about the “why,” not just the “how.” Featuring relatable characters and real-world problems, this book brings complex topics to life. A fun and engaging read that trains your mind to think mathematically.
This book provides a unifying framework for linear models in scientific data analysis. Unlike other texts, it uses a non-least squares approach. This allows for more complex models and simplifies proofs, making the theory easier to read and apply.
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.
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 mathematical models of neuroscience and natural phenomena like tsunami waves. It covers models of tsunamis and examines Fitzhugh-Nagumo systems to understand nerve impulse propagation. For students, researchers, and specialists in nonlinear waves.
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.
This second volume uses vector optimization to model economic systems. Chapters cover decision-making and modeling within companies, in market systems, and for forecasting.
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.
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 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.
Uncover the beauty of Einstein’s general relativity. This collection maps every possible trajectory of light and matter under gravity—even around a black hole—using elegant formulas and insightful graphs to visualize every conceivable orbit.
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 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.
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.
Explore the revolutionary work of David Hilbert, a giant of 20th-century mathematics. This book examines his axiomatic method, his famous 23 Problems, his program for the foundations of mathematics, and his crucial contributions to relativity and quantum physics.
This book focuses on the calculus of variations, combining partial differential equations with geometry to solve nonlinear problems. It provides the latest developments in multidimensional optimization and optimal control for researchers, engineers, and students.
Elements of Statistics
This book is a crucial resource for students intimidated by statistical symbols and equations. It prepares you for statistics courses without anxiety and serves as an excellent desk reference for new researchers. Its hands-on style helps you easily achieve statistical literacy.
Real-time State of Energy (SOE) estimation is crucial for lithium-ion battery safety and predicting the driving range of electric vehicles. This book details an optimized algorithm combining a fuzzy controller and a Kalman filter for fast, accurate, and robust SOE estimation.
This historical account traces the discovery of a singular wave in 1834 to the development of modern soliton theory. It describes deep connections between soliton theory and nonlinear continuum mechanics, with wide applications for research scientists and advanced students.