Mathematical Foundations For General Systems Theory
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General Systems Theory Mathematical Foundations
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Author :
language : en
Publisher: Academic Press
Release Date : 1975-03-21
General Systems Theory Mathematical Foundations written by and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975-03-21 with Technology & Engineering categories.
In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; andmethods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory.As a result, the book represents a blend of new methods in general computational analysis,and specific, but also generic, techniques for study of systems theory ant its particularbranches, such as optimal filtering and information compression.- Best operator approximation,- Non-Lagrange interpolation,- Generic Karhunen-Loeve transform- Generalised low-rank matrix approximation- Optimal data compression- Optimal nonlinear filtering
General Systems Theory
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Author : Yi Lin
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-04-11
General Systems Theory written by Yi Lin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-04-11 with Science categories.
As suggested by the title of this book, I will present a collection of coherently related applications and a theoretical development of a general systems theory. Hopefully, this book will invite all readers to sample an exciting and challenging (even fun!) piece of interdisciplinary research, that has characterized the scientific and technological achievements of the twentieth century. And, I hope that many of them will be motivated to do additional reading and to contribute to topics along the lines described in the following pages. Since the applications in this volume range through many scientific disciplines, from sociology to atomic physics, from Einstein’s relativity theory to Dirac’s quan tum mechanics, from optimization theory to unreasonable effectiveness of mathe matics to foundations of mathematical modeling, from general systems theory to Schwartz’s distributions, special care has been given to write each application in a language appropriate to that field. That is, mathematical symbols and abstractions are used at different levels so that readers in various fields will find it possible to read. Also, because of the wide range of applications, each chapter has been written so that, in general, there is no need to reference a different chapter in order to understand a specific application. At the same time, if a reader has the desire to go through the entire book without skipping any chapter, it is strongly suggested to refer back to Chapters 2 and 3 as often as possible.
Mathematical Foundations For General Systems Theory
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Author : Mihajlo D. Mesarović
language : en
Publisher:
Release Date : 1970
Mathematical Foundations For General Systems Theory written by Mihajlo D. Mesarović and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with categories.
General Systems Theory
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Author : Jeffrey Yi-Lin Forrest
language : en
Publisher: Springer
Release Date : 2018-12-19
General Systems Theory written by Jeffrey Yi-Lin Forrest and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-12-19 with Science categories.
This book demonstrates the theoretical value and practical significance of systems science and its logic of thinking by presenting a rigorously developed foundation—a tool for intuitive reasoning, which is supported by both theory and empirical evidence, as well as practical applications in business decision making. Following a foundation of general systems theory, the book presents an applied method to intuitively learn system-sciences fundamentals. The third and final part examines applications of the yoyo model and the theoretical results developed earlier within the context of problems facing business decision makers by organically combining methods of traditional science, the first dimension of science, with those of systems science, the second dimension, as argued by George Klir in the 1990s. This text would benefit graduate students, researchers, or practitioners in the areas of mathematics, systems science or engineering, economics, and business decision science.
General Dynamical Processes A Mathematical Introduction
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Author :
language : en
Publisher: Academic Press
Release Date : 1971-05-31
General Dynamical Processes A Mathematical Introduction written by and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971-05-31 with Mathematics categories.
In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; andmethods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory.As a result, the book represents a blend of new methods in general computational analysis,and specific, but also generic, techniques for study of systems theory ant its particularbranches, such as optimal filtering and information compression.- Best operator approximation,- Non-Lagrange interpolation,- Generic Karhunen-Loeve transform- Generalised low-rank matrix approximation- Optimal data compression- Optimal nonlinear filtering
General System Theory
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Author : Ludwig von Bertalanffy
language : en
Publisher: George Braziller
Release Date : 2015
General System Theory written by Ludwig von Bertalanffy and has been published by George Braziller this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with System theory categories.
The classic book on a major modern theory
Traditions Of Systems Theory
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Author : Darrell Arnold
language : en
Publisher: Routledge
Release Date : 2013-12-17
Traditions Of Systems Theory written by Darrell Arnold and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-17 with Computers categories.
The term ‘systems theory’ is used to characterize a set of disparate yet related approaches to fields as varied as information theory, cybernetics, biology, sociology, history, literature, and philosophy. What unites each of these traditions of systems theory is a shared focus on general features of systems and their fundamental importance for diverse areas of life. Yet there are considerable differences among these traditions, and each tradition has developed its own methodologies, journals, and forms of anaylsis. This book explores this terrain and provides an overview of and guide to the traditions of systems theory in their considerable variety. The book draws attention to the traditions of systems theory in their historical development, especially as related to the humanities and social sciences, and shows how from these traditions various contemporary developments have ensued. It provides a guide for strains of thought that are key to understanding 20th century intellectual life in many areas.
Foundations For The Mathematical Theory Of General Systems
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Author : Yasuhiko Takahara
language : en
Publisher:
Release Date : 1974
Foundations For The Mathematical Theory Of General Systems written by Yasuhiko Takahara and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with System analysis categories.
Algebraic Theory For Multivariable Linear Systems
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Author : Blomberg
language : en
Publisher: Academic Press
Release Date : 1983-06-14
Algebraic Theory For Multivariable Linear Systems written by Blomberg and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983-06-14 with Computers categories.
Algebraic Theory for Multivariable Linear Systems
The Physical And Mathematical Foundations Of The Theory Of Relativity
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Author : Antonio Romano
language : en
Publisher: Springer Nature
Release Date : 2019-09-25
The Physical And Mathematical Foundations Of The Theory Of Relativity written by Antonio Romano and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-09-25 with Science categories.
This unique textbook offers a mathematically rigorous presentation of the theory of relativity, emphasizing the need for a critical analysis of the foundations of general relativity in order to best study the theory and its implications. The transitions from classical mechanics to special relativity and then to general relativity are explored in detail as well, helping readers to gain a more profound and nuanced understanding of the theory as a whole. After reviewing the fundamentals of differential geometry and classical mechanics, the text introduces special relativity, first using the physical approach proposed by Einstein and then via Minkowski’s mathematical model. The authors then address the relativistic thermodynamics of continua and electromagnetic fields in matter – topics which are normally covered only very briefly in other treatments – in the next two chapters. The text then turns to a discussion of general relativity by means of the authors’ unique critical approach, underlining the difficulty of recognizing the physical meaning of some statements, such as the physical meaning of coordinates and the derivation of physical quantities from those of space-time. Chapters in this section cover the model of space-time proposed by Schwarzschild; black holes; the Friedman equations and the different cosmological models they describe; and the Fermi-Walker derivative. Well-suited for graduate students in physics and mathematics who have a strong foundation in real analysis, classical mechanics, and general physics, this textbook is appropriate for a variety of graduate-level courses that cover topics in relativity. Additionally, it will interest physicists and other researchers who wish to further study the subtleties of these theories and understand the contemporary scholarly discussions surrounding them.