Experiences in the Biocontinuum
This book addresses the central question of what makes living systems unique. Building on information theory, thermodynamics, and systems theory, it forms a singular unifying concept and develops a dynamic mathematical framework for the study of life’s fundamental processes.
A tribute to universal mathematician Francisco Bulnes, whose contributions to pure and applied math are vital for future technologies and our understanding of the universe. Through anecdotes and analyses of his work, this book offers inspiration to PhD students and researchers.
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.
Digitalization leads to complex applications encoded by simple Boolean variables. However, their exponential growth creates challenges. This book gathers research on the Boolean domain to help readers solve these real-life scientific and practical tasks.
This book explains basic concepts of mathematical analysis, including functions, numerical sequences, convergence, and limits. It also covers the continuity and differentiability of functions, their applications, and the graphic representation of parametric functions.
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 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.
An introduction to Graph Theory and Combinatorics and their Applications. Presented in a simple way with examples, it contains a wide variety of applications to real world Science and Engineering problems and includes multiple choice questions for competitive exams.
This book covers production planning and scheduling for high-volume, high-mixture semiconductor manufacturing. It explores topics such as work-in-process management, setup times, techniques of lot batching and splitting, lot sizing, and rescheduling questions.
A Concise Course of Mathematics with Applications
This book covers a vast range of mathematics, from logic, number theory, and algebra to calculus, topology, and geometry. It includes complex analysis, differential equations, and matrices, with applications in the natural and social sciences, from physics to economics.
Explore nonlinear physics using the asymptotic perturbation method. This textbook systematically develops the theory, from nonlinear oscillators to fractal and chaotic solutions in NPDEs. With an emphasis on applications and examples, it is ideal for a senior or graduate course.
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.
In multiplicative calculus, division and multiplication replace the roles of subtraction and addition. This book is devoted to multiplicative Euclidean and non-Euclidean geometry, summarizing the most recent contributions for mathematicians, physicists, engineers and biologists.
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.
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.