The Mathematical Structure of Stable Physical Systems

The Mathematical Structure of Stable Physical Systems PDF Author: Dr. Martin Concoyle & G.P. Coatmundi
Publisher: Trafford Publishing
ISBN: 1490723641
Category : Education
Languages : en
Pages : 703

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Book Description
This book is an introduction to the simple math patterns used to describe fundamental, stable spectral-orbital physical systems (represented as discrete hyperbolic shapes), the containment set has many-dimensions, and these dimensions possess macroscopic geometric properties (which are also discrete hyperbolic shapes). Thus, it is a description which transcends the idea of materialism (ie it is higher-dimensional), and it can also be used to model a life-form as a unified, high-dimension, geometric construct, which generates its own energy, and which has a natural structure for memory, where this construct is made in relation to the main property of the description being, in fact, the spectral properties of both material systems and of the metric-spaces which contain the material systems, where material is simply a lower dimension metric-space, and where both material-components and metric-spaces are in resonance with the containing space. Partial differential equations are defined on the many metric-spaces of this description, but their main function is to act on either the, usually, unimportant free-material components (to most often cause non-linear dynamics) or to perturb the orbits of the, quite often condensed, material trapped by (or within) the stable orbits of a very stable hyperbolic metric-space shape.

The Structure of Physics

The Structure of Physics PDF Author: Carl F. von Weizsäcker
Publisher: Springer Science & Business Media
ISBN: 1402052359
Category : Science
Languages : en
Pages : 390

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Book Description
The book is a newly arranged and revised English version of "Aufbau der Physik" by Carl Friedrich von Weizsäcker. Some original chapters and sections have been deleted, and a new chapter about further insights and results of ur-theoretic research of the late 1980’s and 1990’s has been included. Carl Friedrich von Weizsäcker combines the perspectives of science, philosophy, religion and politics with a view towards the challenges as well as the responsibilities of our time.

Physics in a New Era

Physics in a New Era PDF Author: National Research Council
Publisher: National Academies Press
ISBN: 0309073421
Category : Science
Languages : en
Pages : 203

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Book Description
Physics at the beginning of the twenty-first century has reached new levels of accomplishment and impact in a society and nation that are changing rapidly. Accomplishments have led us into the information age and fueled broad technological and economic development. The pace of discovery is quickening and stronger links with other fields such as the biological sciences are being developed. The intellectual reach has never been greater, and the questions being asked are more ambitious than ever before. Physics in a New Era is the final report of the NRC's six-volume decadal physics survey. The book reviews the frontiers of physics research, examines the role of physics in our society, and makes recommendations designed to strengthen physics and its ability to serve important needs such as national security, the economy, information technology, and education.

General System Theory

General System Theory PDF Author: Ludwig von Bertalanffy
Publisher: George Braziller
ISBN: 9780807600153
Category : System theory
Languages : en
Pages : 0

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Book Description
The classic book on a major modern theory

Structure and Interpretation of Classical Mechanics, second edition

Structure and Interpretation of Classical Mechanics, second edition PDF Author: Gerald Jay Sussman
Publisher: MIT Press
ISBN: 0262028964
Category : Science
Languages : en
Pages : 580

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Book Description
The new edition of a classic text that concentrates on developing general methods for studying the behavior of classical systems, with extensive use of computation. We now know that there is much more to classical mechanics than previously suspected. Derivations of the equations of motion, the focus of traditional presentations of mechanics, are just the beginning. This innovative textbook, now in its second edition, concentrates on developing general methods for studying the behavior of classical systems, whether or not they have a symbolic solution. It focuses on the phenomenon of motion and makes extensive use of computer simulation in its explorations of the topic. It weaves recent discoveries in nonlinear dynamics throughout the text, rather than presenting them as an afterthought. Explorations of phenomena such as the transition to chaos, nonlinear resonances, and resonance overlap to help the student develop appropriate analytic tools for understanding. The book uses computation to constrain notation, to capture and formalize methods, and for simulation and symbolic analysis. The requirement that the computer be able to interpret any expression provides the student with strict and immediate feedback about whether an expression is correctly formulated. This second edition has been updated throughout, with revisions that reflect insights gained by the authors from using the text every year at MIT. In addition, because of substantial software improvements, this edition provides algebraic proofs of more generality than those in the previous edition; this improvement permeates the new edition.

Physics for Mathematicians

Physics for Mathematicians PDF Author: Michael Spivak
Publisher:
ISBN: 9780914098324
Category : Mechanics
Languages : en
Pages : 733

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Book Description


Architectural System Structures

Architectural System Structures PDF Author: Kasper Sánchez Vibæk
Publisher: Routledge
ISBN: 1317675622
Category : Architecture
Languages : en
Pages : 254

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Book Description
This book proposes a system structure in architectural design that conceptualises a systemic level in architecture and construction that lies between general construction techniques and specific architectural results. In order to make such a system structure operational, the elaboration of a model seeks on the one hand to analytically grasp and on the other hand to make it possible to actively work with system structures as part of architectural design. Kasper Sanchez Vibaek's ambition is to bridge an apparent and increasing gap between architectural ideation and the way these ideas are brought to life as real physical manifestations of our built environment. In line with the so-called systems sciences the book rejects the prevalent scientific view that the degree of detail ‘automatically’ enhances understanding and explanative power of complex phenomena. It establishes the idea of a systems view on buildings and architectural design that through the use of flexible constituent elements facilitates discussion and decision making about how architectural wholes are appropriately put together as assemblages of what the current and future building industry is capable of producing. Based on several years of detailed research into the architectural consequences of construction when exposed to industrialised production techniques and systems, Architectural System Structures represents a new way to look at what is already there and is useful for all those interested in the processes of architectural creation and realisation specifically attached to time, place and cultural context.

Open Quantum Systems

Open Quantum Systems PDF Author: Ángel Rivas
Publisher: Springer Science & Business Media
ISBN: 3642233546
Category : Science
Languages : en
Pages : 103

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Book Description
In this volume the fundamental theory of open quantum systems is revised in the light of modern developments in the field. A unified approach to the quantum evolution of open systems is presented by merging concepts and methods traditionally employed by different communities, such as quantum optics, condensed matter, chemical physics and mathematical physics. The mathematical structure and the general properties of the dynamical maps underlying open system dynamics are explained in detail. The microscopic derivation of dynamical equations, including both Markovian and non-Markovian evolutions, is also discussed. Because of the step-by-step explanations, this work is a useful reference to novices in this field. However, experienced researches can also benefit from the presentation of recent results.

New Structures for Physics

New Structures for Physics PDF Author: Bob Coecke
Publisher: Springer
ISBN: 3642128211
Category : Science
Languages : en
Pages : 1034

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Book Description
This volume provides a series of tutorials on mathematical structures which recently have gained prominence in physics, ranging from quantum foundations, via quantum information, to quantum gravity. These include the theory of monoidal categories and corresponding graphical calculi, Girard’s linear logic, Scott domains, lambda calculus and corresponding logics for typing, topos theory, and more general process structures. Most of these structures are very prominent in computer science; the chapters here are tailored towards an audience of physicists.

General Systems Theory

General Systems Theory PDF Author: Lars Skyttner
Publisher: World Scientific
ISBN: 9812774750
Category : Science
Languages : en
Pages : 538

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Book Description
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."