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 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.
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 illustrated guide explores moiré patterns in 1D, 2D, 3D, and time. Learn to identify, distinguish, evaluate, and control the moiré effect, and to use it in modern technologies.
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.
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.
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 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.
For specialists in mathematics, science, and engineering, this guide applies numerical methods to solve complex systems. Explore techniques in C++, Maple, and MATLAB through practical case studies in data analysis, optimisation, and differential equations.
This book presents the theory and methods of solving vector optimization problems. It mathematically proves an optimal solution, solving the problem for the first time, with applied methods for researchers modeling economic and engineering systems.
This second volume uses vector optimization to model economic systems. Chapters cover decision-making and modeling within companies, in market systems, and for forecasting.
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.
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.
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 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.
Explore mathematical concepts from historical and cultural perspectives. This book uses original material to offer new discoveries and re-interpretations of problems, from the abacus to integral calculus. An enthusiastic and rigorous read for educators and general readers alike.