This book tackles the significant challenges of evolutionary processes with memory. It studies their properties by introducing a resolvent family to represent solutions, and explores the dual problem, solvability issues, invariant subspaces, and spectral theory.
This book compiles technical publications on the nonlinear analysis of icosahedrons. It covers static and dynamic characteristics, with topics ranging from large displacements and rotations to chaotic behaviour, and includes extensive experimentation.
Computational Modeling by Case Study
Mathematical models power the modern world, but they are all uncertain. This book provides techniques to quantify uncertainty, allowing you to predict and design with confidence. Learn through case studies and reproducible examples in Python adapted for your own problems.
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.
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 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.
For specialists in mathematics, science, and engineering, this guide applies numerical methods to solve complex systems. Explore techniques in C++, Maple, and MATLAB through practical case studies in data analysis, optimisation, and differential equations.
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 book covers degenerate and singular elliptic equations, which appear in applications from glaciology to fluid mechanics. Based on the author’s research, it is a useful reference for graduate students and researchers interested in differential equations.
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.
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.
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 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 develops Jordan canonical form and shows how to apply it to solving systems of dynamic equations on arbitrary time scales. Beginning with the diagonalizable case, it proceeds to the general case, covering all situations. For senior undergraduate and graduate students.
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.
Many students struggle to visualize the frequency domain, essential for technologies like MRI. This book depicts the transformation in detail, from Fourier series to image filtering, with a progressive introduction to Matlab and numerical applications on functions and images.
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.
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.
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.
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.
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