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.
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.
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 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.
Explore mathematical concepts from historical and cultural perspectives. This book uses original material to offer new discoveries and re-interpretations of problems, from the abacus to integral calculus. An enthusiastic and rigorous read for educators and general readers alike.
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.
Digitalization leads to complex applications encoded by simple Boolean variables. However, their exponential growth creates challenges. This book gathers research on the Boolean domain to help readers solve these real-life scientific and practical tasks.
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 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.
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 book presents basic results in functional and classical analysis, emphasizing convexity, optimization, and operator theory. It reveals the connection between linear and convex operators and establishes their relationship with other fields of mathematics and physics.
A tribute to universal mathematician Francisco Bulnes, whose contributions to pure and applied math are vital for future technologies and our understanding of the universe. Through anecdotes and analyses of his work, this book offers inspiration to PhD students and researchers.
This second volume uses vector optimization to model economic systems. Chapters cover decision-making and modeling within companies, in market systems, and for forecasting.
Ion Channels in Biomembranes and Their Mimics
This volume provides a unified treatment of the structure and function of ion channels, clarifying how electrophysiological and electrochemical tools are essential to understanding ion transport. It bridges the gap between biology and electrochemistry for all life scientists.
This book covers special and general relativity, tensor calculus, Einstein’s field equations, and cosmological models. It also provides a lucid introduction to alternative theories of gravitation. Including examples and exercises, it is an asset for every student and researcher.
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.
Modern Educational Methods and Strategies in Teaching Mathematics
Uncover the building blocks of primary math success and the motivational factors that drive students. This guide connects the development of student identity in secondary school to the critical role mathematical aptitude plays in a society’s economic prosperity.
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.
A Concise Course of Mathematics with Applications
This book covers a vast range of mathematics, from logic, number theory, and algebra to calculus, topology, and geometry. It includes complex analysis, differential equations, and matrices, with applications in the natural and social sciences, from physics to economics.
This book presents a clear introduction to first order partial dynamic equations (PDEs) on time scales. For senior undergraduate and graduate students of engineering and science, it offers proofs, numerous examples, exercises, and advanced practical problems with solutions.