Foundations For The Mathematical Theory Of General Systems
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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.
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
The Proceedings Of The 2023 Conference On Systems Engineering Research
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Author : Dinesh Verma
language : en
Publisher: Springer Nature
Release Date : 2024-03-25
The Proceedings Of The 2023 Conference On Systems Engineering Research written by Dinesh Verma and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-03-25 with Science categories.
The 20th International Conference on Systems Engineering Research (CSER 2023) pushes the boundaries of systems engineering research and responds to new challenges for systems engineering. CSER 2023 invited researchers and practitioners to submit their work in alignment with the thematic focus on a smart and sustainable world. CSER was founded in 2003 by Stevens Institute of Technology and the University of Southern California, and in 2023 the conference returned to the Stevens campus in Hoboken, New Jersey.
General Systems Theory
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Author : Lars Skyttner
language : en
Publisher: World Scientific
Release Date : 2005
General Systems Theory written by Lars Skyttner and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Science categories.
Systems theorists see common principles in the structure and operation of systems of all kinds and sizes. They promote an interdisciplinary science adapted for a universal application with a common language and area of concepts. In order to solve problems, make recommendations and predict the future, they use theories, models and concepts from the vast area of general systems theory. This approach is chosen as a means to overcome the fragmentation of knowledge and the isolation of the specialist but also to find new approaches to problems created by earlier 'solution of problems.'. This revised and updated second edition of General Systems Theory OCo Ideas and Applications includes new systems theories and a new chapter on self-organization and evolution. The book summarizes most of the fields of systems theory and its application systems science in one volume. It provides a quick and readable reference guide for future learning containing both general theories and practical applications without the use of complicated mathematics. Sample Chapter(s). Chapter 1: The Emergence of Holistic Thinking (2,002 KB). Contents: The Theories and Why: The Emergence of Holistic Thinking; Basic Ideas of General Systems Theory; A Selection of Systems Theories; Communication and Information Theory; Some Theories of Brain and Mind; Self-Organization and Evolution; The Applications and How: Artificial Intelligence and Life; Organizational Theory and Management Cybernetics; Decision-Making and Decision Aids; Informatics; Some of the Systems Methodologies; The Future of Systems Theory. Readership: Computer specialists, architects, businessmen, decision makers of all kinds, teachers and holistic thinkers."
Proceedings Of The Symposium On Differential Equations And Dynamical Systems
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Author : David Chillingworth
language : en
Publisher: Springer
Release Date : 2006-11-15
Proceedings Of The Symposium On Differential Equations And Dynamical Systems written by David Chillingworth and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.
Organization Structure Cybernetic Systems Foundation
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Author : Yasuhiko Takahara
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Organization Structure Cybernetic Systems Foundation written by Yasuhiko Takahara 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 2012-12-06 with Business & Economics categories.
Organization Structure: Cybernetic Systems Foundation utilizes a cybernetic systems framework for the study of organizations using GST (General Systems Theory) and presents a comprehensive formal view of organizations assessing regulation, coordination and adaptation managements. The use of GST in this book is in sharp contrast to previous attempts. It addresses structural problems totally based on qualitative, non-numerical mathematics. The book lays a framework for initial efforts to investigate the potential of using formal GST to address organizational dilemmas. The text has been tested in several graduate courses. It can serve as an excellent textbook or reference for graduate level research in this field, as well as a reference for researchers in related fields.
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.
Foundations Of Mathematical System Dynamics
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Author : George J. Klir
language : en
Publisher: Elsevier
Release Date : 2017-05-25
Foundations Of Mathematical System Dynamics written by George J. Klir and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-05-25 with Mathematics categories.
This book is a foundational study of causality as conceived in the mathematical sciences. It is shown that modern mathematical dynamics involves a formulation of the fundamental concept of causality, and an exhaustive classification of causal systems. Among them are the 'self-steering' and 'self-regulating' systems, which together form the class of purposive systems, on whose specific properties the book then focuses. These properties are the mathematical-dynamical foundations of the behavioural and social sciences. This is the definitive book on causality and purposive processes by the originator of the mathematical concept of self-steering.
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.