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.
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 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.
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.
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.
The Mysteries of Mystery Snails
This book is a comprehensive review of Chinese and Japanese mystery snails around the globe. It discusses fascinating facts on their dispersal, biology, ecology, impacts, and control, drawing from more than 900 peer-reviewed articles. For anyone interested in invasive molluscs.
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 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.