Download or read book General Systems Theory Mathematical Foundations written by and published by Academic Press. This book was released on 1975-03-21 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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; and methods 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 particular branches, 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
Download or read book Foundations for the Mathematical Theory of General Systems written by Yasuhiko Takahara and published by . This book was released on 1974 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book General Systems Theory written by Yi Lin and published by Springer Science & Business Media. This book was released on 2006-04-11 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Mathematical Systems Theory I written by Diederich Hinrichsen and published by Springer Science & Business Media. This book was released on 2011-08-03 with total page 818 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the mathematical foundations of systems theory in a self-contained, comprehensive, detailed and mathematically rigorous way. It is devoted to the analysis of dynamical systems and combines features of a detailed introductory textbook with that of a reference source. The book contains many examples and figures illustrating the text which help to bring out the intuitive ideas behind the mathematical constructions.
Download or read book General System Theory written by Ludwig von Bertalanffy and published by George Braziller. This book was released on 2015 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The classic book on a major modern theory
Download or read book General Systems Theory written by Jeffrey Yi-Lin Forrest and published by Springer. This book was released on 2018-12-19 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book General System Theory written by Ludwig von Bertalanffy and published by New York : G. Braziller. This book was released on 2003 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gathered here are Ludwig von Bertalanffy's writings on general systems theory, selected and edited to show the evolution of systems theory and to present it applications to problem solving.
Download or read book Mathematical Foundations of Quantum Mechanics written by John von Neumann and published by Princeton University Press. This book was released on 1955 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: A revolutionary book that for the first time provided a rigorous mathematical framework for quantum mechanics. -- Google books
Download or read book Mathematical Control Theory written by Jerzy Zabczyk and published by Springer Science & Business Media. This book was released on 2008 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: In a mathematically precise manner, this book presents a unified introduction to deterministic control theory. It includes material on the realization of both linear and nonlinear systems, impulsive control, and positive linear systems.
Download or read book Introduction to Systems Theory written by Niklas Luhmann and published by Polity. This book was released on 2012-12-10 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: Niklas Luhmann ranks as one of the most important sociologists and social theorists of the twentieth century. Through his many books he developed a highly original form of systems theory that has been hugely influential in a wide variety of disciplines. In Introduction to Systems Theory, Luhmann explains the key ideas of general and sociological systems theory and supplies a wealth of examples to illustrate his approach. The book offers a wide range of concepts and theorems that can be applied to politics and the economy, religion and science, art and education, organization and the family. Moreover, Luhmann’s ideas address important contemporary issues in such diverse fields as cognitive science, ecology, and the study of social movements. This book provides all the necessary resources for readers to work through the foundations of systems theory – no other work by Luhmann is as clear and accessible as this. There is also much here that will be of great interest to more advanced scholars and practitioners in sociology and the social sciences.
Download or read book Mathematical Systems Theory and Economics I II written by H.W. Kuhn and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 483 pages. Available in PDF, EPUB and Kindle. Book excerpt: The International Summer School on Mathematical Systems Theory and Economics was held at the Villa Monastero in Varenna, Italy, from June 1 through June 12, 1967. The objective of this Summer School was to review the state of the art and the prospects for the application of the mathematical theory of systems to the study and the solution of economic problems. Particular emphasis was given to the use of the mathematical theory of control for the solution of problems in economics. It was felt that the publication of a volume collecting most of the lectures given at the school would show the current status of the application of these methods. The papers are organized into four sections arranged into two volumes: basic theories and optimal control of economic systems which appear in the first volume, and special mathematical problems and special applications which are contained in the second volume. Within each section the papers follow in alphabetical order by author. The seven papers on basic theories are a rather complete representative sample of the fundaments of general systems theory, of the theory of dynamical systems and the theory of control. The five papers on the application of optimal control to economic systems present a broad spectrum of applications.
Download or read book Traditions of Systems Theory written by Darrell Arnold and published by Routledge. This book was released on 2013-12-17 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book General Dynamical Processes A Mathematical Introduction written by and published by Academic Press. This book was released on 1971-05-31 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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; and methods 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 particular branches, 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
Download or read book Applied General Systems Research written by G. Klir and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 979 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume consists of a selection of papers presented at the International Conference on Applied General Systems Research: Recent Developments and Trends which was held on the campus of the State University of New York at Binghamton in August 15-19, 1977, under the sponsorship of the Special Panel on Systems Science of the NATO Scientific Affairs Division. General systems research is a fairly new field which has been developing in the course of the last two or three decades. In my op~n10n, it can be best described as a movement which involves the study of all structural and context independent aspects of problem solving. As such, it is cross-disciplinary in nature and, in this sense, it might seem similar to mathematics. There is a consid erable difference, however, between the two. While pure mathe matics is basically oriented to the development of various axiomatic theories, regardless of whether or not they have any real world meaning, applied mathematics explores the applicability of some of these theories as potentially useful methodological tools in various problem areas. General systems research, in contrast with applied mathematics, is problem oriented rather than tool oriented. As such, it tries to develop genuine methods for solving systems problems, i. e. , structural type and context in dependent problems. The term "genuine method" is used here to refer to a method which adjusts to the problem rather than re quiring that the problem be adjusted to make the method applicable.
Download or read book Foundations of System Theory written by Brian D. O. Anderson and published by Springer. This book was released on 1976 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt: A general setting for discrete action nonlinear systems; Norede equivalence approach; Tree automata: finite successes and infinite failures; Finite step conditions; Augmenting the process.
Download or read book Computer Aided Systems Theory EUROCAST 89 written by Franz Pichler and published by Springer Science & Business Media. This book was released on 1990-02-07 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear Evolution Equations and Dynamical Systems (NEEDS) provides a presentation of the state of the art. Except for a few review papers, the 40 contributions are intentially brief to give only the gist of the methods, proofs, etc. including references to the relevant litera- ture. This gives a handy overview of current research activities. Hence, the book should be equally useful to the senior resercher as well as the colleague just entering the field. Keypoints treated are: i) integrable systems in multidimensions and associated phenomenology ('dromions'); ii) criteria and tests of integrability (e.g., Painlevé test); iii) new developments related to the scattering transform; iv) algebraic approaches to integrable systems and Hamiltonian theory (e.g., connections with Young-Baxter equations and Kac-Moody algebras); v) new developments in mappings and cellular automata, vi) applications to general relativity, condensed matter physics, and oceanography.
Download or read book The Physical and Mathematical Foundations of the Theory of Relativity written by Antonio Romano and published by Springer Nature. This book was released on 2019-09-25 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
