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e-Design is the first book to integrate discussion of computer design tools throughout the design process. Through this book, the reader will understand... Basic design principles and all-digital design paradigms.CAD/CAE/CAM tools available for various design related tasks.How to put an integrated system together to conduct All-Digital Design (ADD).Industrial practices in employing ADD and tools for product development.
Computer-aided design --- CAD/CAM systems --- Applied Mathematics --- Engineering & Applied Sciences
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This book presents several fundamental questions in mathematical biology such as Turing instability, pattern formation, reaction-diffusion systems, invasion waves and Fokker-Planck equations. These are classical modeling tools for mathematical biology with applications to ecology and population dynamics, the neurosciences, enzymatic reactions, chemotaxis, invasion waves et cetera The book presents these aspects from a mathematical perspective, with the aim of identifying those qualitative properties of the models that are relevant for biological applications. To do so, it uncovers the mechanisms at work behind Turing instability, pattern formation and invasion waves. This involves several mathematical tools, such as stability and instability analysis, blow-up in finite time, asymptotic methods and relative entropy properties. Given the content presented, the book is well suited as a textbook for master-level coursework.
Mathematics --- Biomathematics. Biometry. Biostatistics --- Biology --- Applied physical engineering --- Computer science --- toegepaste wiskunde --- biomathematica --- biologie --- economie --- informatica --- wiskunde --- Applied mathematics. --- Biomathematics. --- Engineering mathematics.
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In this book, the theory, methods and applications of separable optimization are considered. Some general results are presented, techniques of approximating the separable problem by linear programming problem, and dynamic programming are also studied. Convex separable programs subject to inequality/ equality constraint(s) and bounds on variables are also studied and convergent iterative algorithms of polynomial complexity are proposed. As an application, these algorithms are used in the implementation of stochastic quasigradient methods to some separable stochastic programs. The problems of numerical approximation of tabulated functions and numerical solution of overdetermined systems of linear algebraic equations and some systems of nonlinear equations are solved by separable convex unconstrained minimization problems. Some properties of the Knapsack polytope are also studied. This second edition includes a substantial amount of new and revised content. Three new chapters, 15-17, are included. Chapters 15-16 are devoted to the further analysis of the Knapsack problem. Chapter 17 is focused on the analysis of a nonlinear transportation problem. Three new Appendices (E-G) are also added to this edition and present technical details that help round out the coverage. Optimization problems and methods for solving the problems considered are interesting not only from the viewpoint of optimization theory, optimization methods and their applications, but also from the viewpoint of other fields of science, especially the artificial intelligence and machine learning fields within computer science. This book is intended for the researcher, practitioner, or engineer who is interested in the detailed treatment of separable programming and wants to take advantage of the latest theoretical and algorithmic results. It may also be used as a textbook for a special topics course or as a supplementary textbook for graduate courses on nonlinear and convex optimization.
Numerical methods of optimisation --- Operational research. Game theory --- Mathematical statistics --- Planning (firm) --- Business management --- Computer. Automation --- automatisering --- management --- mathematische modellen --- econometrie --- wiskunde --- operationeel onderzoek --- Applied mathematics. --- Optimització matemàtica
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In this intriguing book, John Barnes takes us on a journey through aspects of numbers much as he took us on a geometrical journey in Gems of Geometry. Similarly originating from a series of lectures for adult students at Reading and Oxford University, this book touches a variety of amusing and fascinating topics regarding numbers and their uses both ancient and modern. The author intrigues and challenges his audience with both fundamental number topics such as prime numbers and cryptography, and themes of daily needs and pleasures such as counting one's assets, keeping track of time, and enjoying music. Puzzles and exercises at the end of each lecture offer additional inspiration, and numerous illustrations accompany the reader. Furthermore, a number of appendices provides in-depth insights into diverse topics such as Pascal’s triangle, the Rubik cube, Mersenne’s curious keyboards, and many others. A theme running through is the thought of what is our favourite number. Written in an engaging and witty style and requiring only basic school mathematical knowledge, this book will appeal to both young and mature readers fascinated by the curiosities of numbers.
Number theory --- Algebra --- Mathematics --- Applied physical engineering --- Music --- algebra --- toegepaste wiskunde --- economie --- muziek --- wiskunde --- getallenleer --- Number theory. --- Algebra. --- Mathematics. --- Applied mathematics. --- Engineering mathematics. --- Number Theory. --- Mathematics in Music. --- Applications of Mathematics.
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The main objective of the Water Framework Directive in the European countries is to achieve a “good status” of all the water bodies, in the integrated management of river basins. In order to assess the impact of improvement measures, water quality models are necessary. During the previous decades the progress in computer technology and computational methods has supported the development of advanced mathematical models for pollutant transport in rivers and streams. This book is intended to provide the fundamental knowledge needed for a deeper understanding of these models and the development of new ones, which will fulfil future quality requirements in water resources management. This book focuses on the fundamentals of computational techniques required in water quality modelling. Advection, dispersion and concentrated sources or sinks of contaminants lead to the formulation of the fundamental differential equation of pollutant transport. Its integration, according to appropriate initial and boundary conditions and with the knowledge of the velocity field, allows for pollutant behaviour to be assessed in the entire water body. An analytical integration is convenient only in one-dimensional approach with considerable simplification. Integration in the numerical field is useful for taking into account particular aspects of water body and pollutants. To ensure their reliability, the models require accurate calibration and validation, based on proper data, taken from direct measurements. In addition, sensitivity and uncertainty analysis are also of utmost importance. All the above items are discussed in detail in the 21 chapters of the book, which is written in a didactic form for professionals and students.
Mathematics --- Geology. Earth sciences --- Hydraulic energy --- Applied physical engineering --- Water supply. Water treatment. Water pollution --- Environmental protection. Environmental technology --- Engineering sciences. Technology --- Artificial intelligence. Robotics. Simulation. Graphics --- Geography --- hydrologie --- verontreiniging --- analyse (wiskunde) --- milieukunde --- vormgeving --- economie --- waterverontreiniging --- mineralen (chemie) --- simulaties --- mijnbouw --- wiskunde --- geografie --- milieuverontreiniging --- ingenieurswetenschappen --- vervuiling --- hydraulica --- Hydrogeology. --- Water quality. --- Water pollution. --- Environmental sciences. --- Applied mathematics. --- Engineering mathematics. --- Pollution. --- Water Quality/Water Pollution. --- Waste Water Technology / Water Pollution Control / Water Management / Aquatic Pollution. --- Math. Appl. in Environmental Science. --- Mathematical and Computational Engineering. --- Pollution, general.
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