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Boundaries of a Complex World, Second Edition (Repost)

Posted By: AvaxGenius
Boundaries of a Complex World, Second Edition (Repost)

Boundaries of a Complex World, Second Edition by Andrei Ludu
English | EPUB (True) | 2022 | 372 Pages | ISBN : 3031073606 | 108.1 MB

The 2nd edition of this book provides novel topics and studyies in boundaries of networks and Big Data Systems.The central theme of this book is the extent to which the structure of the free dynamical boundaries of a system controls the evolution of the system as a whole. Applying three orthogonal types of thinking - mathematical, constructivist and morphological, it illustrates these concepts using applications to selected problems from the social and life sciences, as well as economics.
In a broader context, it introduces and reviews some modern mathematical approaches to the science of complex systems.

Advanced Mathematical Modeling and Numerical Solutions in Applied Mechanics and Engineering

Posted By: AvaxGenius
Advanced Mathematical Modeling and Numerical Solutions in Applied Mechanics and Engineering

Advanced Mathematical Modeling and Numerical Solutions in Applied Mechanics and Engineering by Shujin Laima, Yong Cao, Xiaowei Jin, Hehe Ren
English | PDF | 2024 | 544 Pages | ISBN : 372580219X | 61.9 MB

“Advanced Mathematical Modeling and Numerical Solutions in Applied Mechanics and Engineering.” This Special Issue delves into the theory and application of mathematical models across various disciplines. We hope that these publications can inspire researchers in relevant communities. It is our aim that these papers will not only stimulate future research in mathematical models and numerical methods but also encourage the exploration of their potential applications.

Mathematical Modeling and Simulation in Mechanics and Dynamic Systems, 2nd Edition

Posted By: AvaxGenius
Mathematical Modeling and Simulation in Mechanics and Dynamic Systems, 2nd Edition

Mathematical Modeling and Simulation in Mechanics and Dynamic Systems, 2nd Edition by Maria Luminit , a Scutaru, Catalin I. Pruncu
English | PDF | 2024 | 226 Pages | ISBN : N/A | 20.6 MB

Although it has been considered difficult to make further contributions in the field of mechanics, the spectacular evolution of technology and numerical calculation techniques has made these opinions shift, and increasingly sophisticated models have been developed, which should predict, as accurately as possible, the phenomena that take place in dynamic systems. Therefore, researchers have come to study mechanical systems with complicated behavior using experiments and computer models [ 1 – 3 ]. The key requirement is that the system is nonlinear in its form. The impetus in mechanics and dynamical systems has come from many sources: computer simulation, experimental science, mathematics, and modeling [ 4 – 7 ]. There is a wide range of influences. Computer experiments change the way in which we analyze these systems. Topics of interest include, but are not limited to, modeling mechanical systems, new methods in dynamic systems, the behavior simulation of a mechanical system, nonlinear systems, multibody systems with elastic elements, multi- degrees of freedom, mechanical systems, experimental modal analysis, and mechanics of materials.

Computer Algebra Recipes: An Advanced Guide to Scientific Modeling

Posted By: AvaxGenius
Computer Algebra Recipes: An Advanced Guide to Scientific Modeling

Computer Algebra Recipes: An Advanced Guide to Scientific Modeling by Richard H. Enns , George C. McGuire
English | PDF | 2007 | 374 Pages | ISBN : 0387257683 | 7.2 MB

Modern computer algebra systems are revolutionizing the teaching and learning of mathematically intensive subjects in science and engineering, enabling students to explore increasingly complex and computationally intensive models that provide analytic solutions, animated numerical solutions, and complex two- and three-dimensional graphic displays.

Modeling with Itô Stochastic Differential Equations (Repost)

Posted By: AvaxGenius
Modeling with Itô Stochastic Differential Equations (Repost)

Modeling with Itô Stochastic Differential Equations by E. Allen
English | PDF | 2007 | 238 Pages | ISBN : 1402059523 | 1.6 MB

Dynamical systems with random influences occur throughout the physical, biological, and social sciences. By carefully studying a randomly varying system over a small time interval, a discrete stochastic process model can be constructed. Next, letting the time interval shrink to zero, an Ito stochastic differential equation model for the dynamical system is obtained.

Atmospheric and Space Flight Dynamics: Modeling and Simulation with MATLAB® and Simulink®

Posted By: AvaxGenius
Atmospheric and Space Flight Dynamics: Modeling and Simulation with MATLAB® and Simulink®

Atmospheric and Space Flight Dynamics: Modeling and Simulation with MATLAB® and Simulink® by Ashish Tewari
English | PDF | 2007 | 567 Pages | ISBN : 0817644377 | 9.7 MB

Modern aerospace vehicles, such as the space shuttle, other launch vehicles, and long-range ballistic missiles, do not discriminate between atmospheric and space flight. Most texts on flight dynamics, however, make this artificial distinction and therefore do not simultaneously cover aircraft and spacecraft. Bridging this gap in the literature, Atmospheric and Space Flight Dynamics is a unified presentation, demonstrating that the two disciplines have actually evolved from the same set of physical principles.

Analysis and Simulation of Contact Problems

Posted By: AvaxGenius
Analysis and Simulation of Contact Problems

Analysis and Simulation of Contact Problems by Peter Wriggers, Udo Nackenhorst
English | PDF | 2006 | 392 Pages | ISBN : 3540317600 | 11.4 MB

Contact mechanics was and is an important branch in mechanics which covers a broad field of theoretical, numerical and experimental investigations. In this carefully edited book the reader will obtain a state-of-the-art overview on formulation, mathematical analysis and numerical solution procedures of contact problems. The contributions collected in this volume summarize the lectures presented during the 4th Contact Mechanics Interantional symposium (CMIS) held in Hannover, Germany, 2005, by leading scientists in the area of contact mechanics.

Advances in Gabor Analysis

Posted By: AvaxGenius
Advances in Gabor Analysis

Advances in Gabor Analysis by Hans G. Feichtinger, Thomas Strohmer
English | PDF | 2003 | 369 Pages | ISBN : 0817642390 | 30.1 MB

The Applied and Numerical Harmonic Analysis (ANHA) book series aims to provide the engineering, mathematical, and scientific communities with significant developments in harmonic analysis, ranging from abstract har­ monic analysis to basic applications. The title of the series reflects the im­ portance of applications and numerical implementation, but richness and relevance of applications and implementation depend fundamentally on the structure and depth of theoretical underpinnings. Thus, from our point of view, the interleaving of theory and applications and their creative symbi­ otic evolution is axiomatic. Harmonic analysis is a wellspring of ideas and applicability that has flour­ ished, developed, and deepened over time within many disciplines and by means of creative cross-fertilization with diverse areas. The intricate and fundamental relationship between harmonic analysis and fields such as sig­ nal processing, partial differential equations (PDEs), and image processing is reflected in our state of the art ANHA series. Our vision of modern harmonic analysis includes mathematical areas such as wavelet theory, Banach algebras, classical Fourier analysis, time­ frequency analysis, and fractal geometry, as well as the diverse topics that impinge on them.

Decision Making Under Uncertainty: Energy and Power

Posted By: AvaxGenius
Decision Making Under Uncertainty: Energy and Power

Decision Making Under Uncertainty: Energy and Power by Claude Greengard, Andrzej Ruszczynski
English | PDF | 2002 | 166 Pages | ISBN : 0387954651 | 17.2 MB

In the ideal world, major decisions would be made based on complete and reliable information available to the decision maker. We live in a world of uncertainties, and decisions must be made from information which may be incomplete and may contain uncertainty. The key mathematical question addressed in this volume is "how to make decision in the presence of quantifiable uncertainty." The volume contains articles on model problems of decision making process in the energy and power industry when the available information is noisy and/or incomplete. The major tools used in studying these problems are mathematical modeling and optimization techniques; especially stochastic optimization. These articles are meant to provide an insight into this rapidly developing field, which lies in the intersection of applied statistics, probability, operations research, and economic theory. It is hoped that the present volume will provide entry to newcomers into the field, and stimulation for further research.

Complementarity, Equilibrium, Efficiency and Economics

Posted By: AvaxGenius
Complementarity, Equilibrium, Efficiency and Economics

Complementarity, Equilibrium, Efficiency and Economics by G. Isac , V. A. Bulavsky , V. V. Kalashnikov
English | PDF | 2002 | 458 Pages | ISBN : 1402006888 | 38.1 MB

In complementarity theory, which is a relatively new domain of applied mathematics, several kinds of mathematical models and problems related to the study of equilibrium are considered from the point of view of physics as well as economics. In this book the authors have combined complementarity theory, equilibrium of economical systems, and efficiency in Pareto's sense. The authors discuss the use of complementarity theory in the study of equilibrium of economic systems and present results they have obtained. In addition the authors present several new results in complementarity theory and several numerical methods for solving complementarity problems associated with the study of economic equilibrium. The most important notions of Pareto efficiency are also presented.

Convexification and Global Optimization in Continuous and Mixed-Integer Nonlinear Programming

Posted By: AvaxGenius
Convexification and Global Optimization in Continuous and Mixed-Integer Nonlinear Programming

Convexification and Global Optimization in Continuous and Mixed-Integer Nonlinear Programming: Theory, Algorithms, Software, and Applications by Mohit Tawarmalani , Nikolaos V. Sahinidis
English | PDF | 2002 | 492 Pages | ISBN : 1402010311 | 32.8 MB

Interest in constrained optimization originated with the simple linear pro­ gramming model since it was practical and perhaps the only computationally tractable model at the time. Constrained linear optimization models were soon adopted in numerous application areas and are perhaps the most widely used mathematical models in operations research and management science at the time of this writing. Modelers have, however, found the assumption of linearity to be overly restrictive in expressing the real-world phenomena and problems in economics, finance, business, communication, engineering design, computational biology, and other areas that frequently demand the use of nonlinear expressions and discrete variables in optimization models.

Practical Asymptotics

Posted By: AvaxGenius
Practical Asymptotics

Practical Asymptotics by H. K. Kuiken
English | PDF (True) | 2001 | 388 Pages | ISBN : 0792369203 | 38.1 MB

Practical Asymptotics is an effective tool for reducing the complexity of large-scale applied-mathematical models arising in engineering, physics, chemistry, and industry, without compromising their accuracy. It exploits the full potential of the dimensionless representation of these models by considering the special nature of the characteristic dimensionless quantities. It can be argued that these dimensionless quantities mostly assume extreme values, particularly for practical parameter settings. Thus, otherwise complicated models can be rendered far less complex and the numerical effort to solve them is greatly reduced.

Dynamical Systems with Applications using MAPLE

Posted By: AvaxGenius
Dynamical Systems with Applications using MAPLE

Dynamical Systems with Applications using MAPLE by Stephen Lynch
English | PDF | 2001 | 400 Pages | ISBN : 0817641505 | 27.9 MB

This book provides an introduction to the theory of dynamical systems with the aid of the Maple algebraic manipulation package. lt is written for both senior un­ dergraduates and first-year graduale students. The firsthalf of the book deals with continuous systems using ordinary differential equations (Chapters 1-12) and the second half is devoted to the study of discrete dynamical systems (Chapters 13-20). (The author has gone for breadth of coverage rather than fine detail and theorems with proof are kept at a minimum.) The material is not clouded by functional analytic and group theoretical definitions, and so is intelligible to readers with a general mathematical background. Some of the topics covered are scarcely cov­ ered elsewhere. Most of the material in Chapters 9-12, 16, 17, 19, and 20 is at postgraduale Ievel and has been influenced by the author's own research interests. It has been found that these chapters are especially useful as reference material for senior undergraduate project work. The book has a very hands-on approach and takes the reader from the basic theory right through to recently published research material.

Mathematics for Social Sciences and Arts: Algebraic Modeling

Posted By: AvaxGenius
Mathematics for Social Sciences and Arts: Algebraic Modeling

Mathematics for Social Sciences and Arts: Algebraic Modeling by Mahouton Norbert Hounkonnou, Dragana Martinovic, Melanija Mitrović, Philippa Pattison
English | PDF EPUB (True) | 2024 | 287 Pages | ISBN : 3031377915 | 21.3 MB

This book addresses interconnections between contemporary advances in mathematics, especially algebra, with applications in the social sciences and the arts. It promotes the idea that knowledge cannot remain in disciplinary silos, rather, it belongs to all people, and is dedicated to associative relationships in a variety of mathematics applications, from sociology to linguistics, including anthropology, semiotics, education, and cognitive science. Contributions illuminate some of the ways in which algebra is developed, learned, understood, communicated, and applied in the social sciences and the humanities.

Boundaries of a Complex World, Second Edition (Repost)

Posted By: AvaxGenius
Boundaries of a Complex World, Second Edition (Repost)

Boundaries of a Complex World, Second Edition by Andrei Ludu
English | PDF EPUB (True) | 2022 | 372 Pages | ISBN : 3031073606 | 121 MB

The 2nd edition of this book provides novel topics and studyies in boundaries of networks and Big Data Systems.The central theme of this book is the extent to which the structure of the free dynamical boundaries of a system controls the evolution of the system as a whole. Applying three orthogonal types of thinking - mathematical, constructivist and morphological, it illustrates these concepts using applications to selected problems from the social and life sciences, as well as economics.
In a broader context, it introduces and reviews some modern mathematical approaches to the science of complex systems.