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.
A Statistical Biography of George Udny Yule
Mills responds to the limited work on Udny Yule by embarking on the first major study of his statistical research and legacy. He explains how Yule was more than an expositor, in that he published important research, such as providing mathematical models of evolutionary behaviour.
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.
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.
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 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.
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.
A Journey into Ambiguous Set Theory
An introduction to the concepts of ambiguous set theory. Through concrete examples, the book demonstrates practical applications in decision-making, control systems, and medical imaging. It is designed to be approachable for students, researchers, and enthusiasts alike.
This book covers the theory and practice of discrete optimization for mathematics and computer science researchers. It presents new theoretical results, models, and algorithmic approaches for problems in integer programming, combinatorial optimization, scheduling, and logistics.
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.
Functional analysis studies infinite vector spaces, their topologies, and the operators between them. This book is a collection of notes, expositions, exercises, and lectures on advanced functional analysis, exploring properties such as duality, continuity, and C*-algebras.
The Art of Supposition
What if our reality is shaped by what we suppose? This book introduces a groundbreaking framework, redefining the human experience through the lens of Homo Putans, the “supposing human.” Enter a world where every thought is an invitation to question, explore, and suppose.
A Journey into Quantum Wavefunction Optimization Algorithm
Enhance predictive accuracy and optimization efficiency under uncertainty. Discover hybrid and quantum-inspired models for forecasting, classification, and optimization, bridging neutrosophic theory and quantum computation to solve complex problems.
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 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 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.
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.
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.
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.
This book develops novel mathematical models to investigate the impacts of GHG emissions on coastal and marine ecosystems. It introduces optimal control strategies to mitigate these impacts, providing new methods for scientists working to maintain a healthy environment.