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.
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 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.
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.
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.
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.
Understanding Interactions in Complex Systems
This book explores the complex nature of interactions and the modeling of interactional systems. It shows that all disciplines can be enriched by exploring alternative paradigms, arguing that ignoring the multi-dimensional nature of interactions is not an option.
Elements of Statistics
This book is a crucial resource for students intimidated by statistical symbols and equations. It prepares you for statistics courses without anxiety and serves as an excellent desk reference for new researchers. Its hands-on style helps you easily achieve statistical literacy.
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.
Written by leading experts, this volume offers detailed and up-to-date findings for survey methodologists and practitioners. It deepens the reader’s understanding of the unit problem and showcases recent advances in business survey methodology and practice.
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.
Explore the revolutionary work of David Hilbert, a giant of 20th-century mathematics. This book examines his axiomatic method, his famous 23 Problems, his program for the foundations of mathematics, and his crucial contributions to relativity and quantum physics.
Semakov highlights some of the most important fundamental results related to crossings problems in the context of aviation. The result is a work that will appeal to engineers and scientists who are interested in the applications of random processes theory and its methods.
The Origin of Geometry in India
The ancient Śulbasūtras, composed from 600BCE, were rule-books for making and arranging bricks, and represent the first available texts of both geometry and mensuration. This publication uses them as a lens to view the origin of geometry in India and elsewhere.
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 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 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.
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 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.