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 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 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 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.
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 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 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.
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.
Master Elementary Algebra to succeed in mathematics. This book bridges the gap between school and university, helping undergraduates pass mathematical analysis courses. This material has been used to improve the skills of first-year engineering students for a decade.
This book provides a comprehensive background for analysis of the finite deformation of materials. It covers deformation geometry, stress measures, and balance laws, with applications in rubber elasticity and metal plasticity, including experiments and illustrations.
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.
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.
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.
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.
Mathematical logic is grounded on false assumptions that have impoverished knowledge. This book’s “contrastive theory of rationality” shows a better way to ground logic, resolving its foundational crisis and altering its future, with enormous implications for knowledge.
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.
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 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.
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.