This work investigates the algebraic theory of corner subrings in Banach and C*-algebras. We propose a general approach to explore when topological properties are consequences of algebraic assumptions, with results for C*-algebras and ternary rings of operators.
From Foundations to Philosophy of Mathematics
Explore the 20th century’s foundational crisis in mathematics. From early paradoxes to the rise of logicism, intuitionism, and formalism, this guide examines the quest for certainty and the lasting impact of Gödel’s revolutionary theorems.
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.
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 book analyzes algorithms for stochastic phenomena like random processes and Markov chains. It presents a novel “Complex Probability Paradigm” applied to Brownian motion, making it ideal for researchers and students in mathematics, computer science, and science.
This comprehensive collection of estimators in single and two-phase sampling covers estimators which utilize information on single, two, and multiple auxiliary variables. An invaluable point of reference for researchers working in the field of survey sampling.
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.
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.
This book, by experts in Network Science, covers theoretical and practical advances in this growing, interdisciplinary field. It takes the reader through essential concepts for the structural analysis of networks and their applications to real-world scenarios.
As digital systems grow in complexity, so do the challenges of Boolean logic. This book summarizes recent progress, describing powerful approaches to solve exceptionally complex problems, from digital circuit design and testing to the future of quantum computers.
This book is devoted to synthesis problems in the design of radiating systems (antennas). Its aim is to determine the current distribution in an antenna to produce a desired radiation pattern, using phase freedom for better approximation. It also discusses scattering problems.
This book focuses on recent advances in nonlinear analysis and optimization, with applications in fields like artificial intelligence. Presenting ideas and techniques to stimulate further research, it is a valuable reference for researchers, engineers, and students.
This book focuses on the calculus of variations, combining partial differential equations with geometry to solve nonlinear problems. It provides the latest developments in multidimensional optimization and optimal control for researchers, engineers, and students.
MATLAB and its integrated tool SIMULINK are leading software packages for solving complex engineering and scientific problems. This book closes the gap between the software and its users, providing the requisite understanding to enhance employment opportunities.
This book presents mathematical models of neuroscience and natural phenomena like tsunami waves. It covers models of tsunamis and examines Fitzhugh-Nagumo systems to understand nerve impulse propagation. For students, researchers, and specialists in nonlinear waves.
This book discusses mathematical techniques for stellar kinematics, from classical methods like least squares to modern ones not in other texts, such as total least squares and semi-definite programming. For astronomers, students, engineers, and mathematicians.
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.
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.
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.
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.