Rigid Body as a Constrained System
This book presents the dynamics of spinning bodies, the most confusing topic in Classical Mechanics. Starting from the variational problem, it treats the rigid body as a system of particles, creating a simple, transparent approach that eliminates the need for extra postulates.
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.
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.
Computational models must be adequate for real physical processes, yet the issue of adequacy is poorly understood. This is the first book to address constructing adequate mathematical descriptions, proposing two criteria and algorithms for specialists in mathematical modeling.
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 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 tackles the significant challenges of evolutionary processes with memory. It studies their properties by introducing a resolvent family to represent solutions, and explores the dual problem, solvability issues, invariant subspaces, and spectral theory.
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.
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 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 presents a simplified deliberation of fractional calculus for beginners and researchers. It shows why classical Newtonian calculus fails to describe actual systems, and discusses applications of non-integer differentiation in different areas of science and engineering.
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, 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.
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 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.
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 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.
A refresher for health professionals, this book reinforces the statistical principles required for certification and board exams. Its concise presentation, with many examples and exercises, helps solidify your learning and retention of key topics.
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.