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.
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.
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.
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.
Master Elementary Algebra to succeed in mathematics. This book bridges the gap between school and university, helping undergraduates pass mathematical analysis courses. This material has been used to improve the skills of first-year engineering students for a decade.
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.
A mathematics researcher searches for technologies to ensure humanity’s survival, struggling to defend scientific truth against the powerful and wealthy. The book explores philosophical ideas from mathematical perspectives and their universal application in science.
Complex oil and gas extraction is accompanied by grave failures like drill string buckling, resonant vibrations, and bit whirling. To analyze these phenomena, this book elaborates new mathematical models and numerical methods, offering new results for designers and specialists.
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.
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.
This book covers the design and quality control of microwave devices using simulation and measurement. It describes methods for designing simulators of microwave amplifiers and oscillators, enabling accurate measurements and effective quality control that minimizes costs.
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.
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