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Complexification
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Book Synopsis The Relativity of Everything. A Philosophical Inquiry into Relativity, Complexity and Distributed Society. by : Rodney J. Morris
Download or read book The Relativity of Everything. A Philosophical Inquiry into Relativity, Complexity and Distributed Society. written by Rodney J. Morris and published by Rodney J. Morris. This book was released on 2023-08-25 with total page 628 pages. Available in PDF, EPUB and Kindle. Book excerpt: Given that everything in the world is relative, contemporary societal organization is based on social absolutes that are considered self-evident. This type of system invariably introduces central polarization into society, leading to class divisions, with transitions between the classes becoming increasingly difficult as polarization intensifies. Throughout human history, various forms of centrally polarized societies have been established, referred to by different names in different eras, such as slavery, feudalism, capitalism, or socialism. However, these societies can only endure as long as transitions between their social strata remain possible. Once these transitions become unattainable, the society inevitably crumbles. The escalating central polarization of society and its subsequent division become impediments to progress and development and can only be overcome through decentralization. Historically, transitions from one societal structure to another have resulted in a temporary decentralization of society. Nevertheless, the new societal structure invariably deteriorated due to the emergence of fresh central polarization, albeit founded on different polarization criteria. This book offers a deep exploration of the phenomena of relativity, complexity, and complexification, proposing a new approach to the critical analysis of capitalism as a societal structure. It elaborates on the foundational principles of distributed society as the only sustainable alternative to centrally polarized society.
Book Synopsis Memory Evolutive Systems; Hierarchy, Emergence, Cognition by : A C Ehresmann
Download or read book Memory Evolutive Systems; Hierarchy, Emergence, Cognition written by A C Ehresmann and published by Elsevier. This book was released on 2007-05-25 with total page 403 pages. Available in PDF, EPUB and Kindle. Book excerpt: Memory Evolutive Systems; Hierarchy, Emergence, Cognition provides comprehensive and comprehensible coverage of Memory Evolutive Systems (MEM). Written by the developers of the MEM, the book proposes a mathematical model for autonomous evolutionary systems based on the Category Theory of mathematics. It describes a framework to study and possibly simulate the structure of living systems and their dynamic behavior. This book contributes to understanding the multidisciplinary interfaces between mathematics, cognition, consciousness, biology and the study of complexity. It is organized into three parts. Part A deals with hierarchy and emergence and covers such topics as net of interactions and categories; the binding problem; and complexifications and emergence. Part B is about MEM while Part C discusses MEM applications to cognition and consciousness. The book explores the characteristics of a complex evolutionary system, its differences from inanimate physical systems, and its functioning and evolution in time, from its birth to its death. This book is an ideal reference for researchers, teachers and students in pure mathematics, computer science, cognitive science, study of complexity and systems theory, Category Theory, biological systems theory, and consciousness theory. It would also be of interest to both individuals and institutional libraries. Comprehensive and comprehensible coverage of Memory Evolutive System Written by the developers of the Memory Evolutive Systems Designed to explore the common language between sciences
Download or read book Complexification written by John L. Casti and published by Harper Perennial. This book was released on 1995-04-12 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: A renowned mathematician shows how the "science of surprise" can help explain some of the most inexplicable phenomena in science, nature, the arts, the economy, and more.
Book Synopsis Lie Groups Beyond an Introduction by : Anthony W. Knapp
Download or read book Lie Groups Beyond an Introduction written by Anthony W. Knapp and published by Springer Science & Business Media. This book was released on 2002-08-21 with total page 844 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book takes the reader from the end of introductory Lie group theory to the threshold of infinite-dimensional group representations. Merging algebra and analysis throughout, the author uses Lie-theoretic methods to develop a beautiful theory having wide applications in mathematics and physics. The book initially shares insights that make use of actual matrices; it later relies on such structural features as properties of root systems.
Download or read book Ergodic Theory written by David Kerr and published by Springer. This book was released on 2017-02-09 with total page 455 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to the ergodic theory and topological dynamics of actions of countable groups. It is organized around the theme of probabilistic and combinatorial independence, and highlights the complementary roles of the asymptotic and the perturbative in its comprehensive treatment of the core concepts of weak mixing, compactness, entropy, and amenability. The more advanced material includes Popa's cocycle superrigidity, the Furstenberg-Zimmer structure theorem, and sofic entropy. The structure of the book is designed to be flexible enough to serve a variety of readers. The discussion of dynamics is developed from scratch assuming some rudimentary functional analysis, measure theory, and topology, and parts of the text can be used as an introductory course. Researchers in ergodic theory and related areas will also find the book valuable as a reference.
Book Synopsis Sociolinguistic Typology by : Peter Trudgill
Download or read book Sociolinguistic Typology written by Peter Trudgill and published by Oxford University Press. This book was released on 2011-10-20 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book considers how far social factors explain why human societies produce different kinds of language at different times and places and why some languages and dialects get simpler while others get more complex. It does so in the context of a wide range of languages and societies.
Book Synopsis The SAGE Handbook of Sociolinguistics by : Ruth Wodak
Download or read book The SAGE Handbook of Sociolinguistics written by Ruth Wodak and published by SAGE. This book was released on 2010-09-23 with total page 650 pages. Available in PDF, EPUB and Kindle. Book excerpt: "A treasure trove for sociolinguistic researchers and students alike. Edited by three leading sociolinguists, the 39 chapters cover a wealth of valuable material... And the cast list reads like a veritable Who′s Who of sociolinguistics, with a refreshing number of younger scholars included along with more familiar, well-established names... This is a book that I will reach for often, both for research and teaching purposes. I will recommend it to my postgraduate students, and many of the chapters will provide excellent material for discussion in our advanced undergraduate sociolinguistics course." - Janet Holmes, Discourse Studies "The best, the most complete and the most integrated handbook of sociolinguistics of the past decade." - Joshua A. Fishman, NYU and Stanford University This Handbook answers a long-standing need for an up-to-date, comprehensive, international, in-depth critical survey of the history, trajectory, data, results and key figures involved in sociolinguistics. It consists of six inter-linked sections: The History of Sociolinguistics Sociolinguistics and Social Theory Language, Variation and Change Interaction Multilingualism and Contact Applications The result is a work of unprecedented coverage and insight. It is all here, from the foundational contributions to the field to the impact of new media, new technologies of communication, globalization, trans-border fluidities and agendas of research. The book will quickly be recognized as a benchmark in the field. It will provide a basis for reckoning its origins and pathways of development as well as an authoritative account of the central debates and research issues of today.
Book Synopsis Geometric Multivector Analysis by : Andreas Rosén
Download or read book Geometric Multivector Analysis written by Andreas Rosén and published by Springer Nature. This book was released on 2019-11-09 with total page 465 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a step-by-step guide to the basic theory of multivectors and spinors, with a focus on conveying to the reader the geometric understanding of these abstract objects. Following in the footsteps of M. Riesz and L. Ahlfors, the book also explains how Clifford algebra offers the ideal tool for studying spacetime isometries and Möbius maps in arbitrary dimensions. The book carefully develops the basic calculus of multivector fields and differential forms, and highlights novelties in the treatment of, e.g., pullbacks and Stokes’s theorem as compared to standard literature. It touches on recent research areas in analysis and explains how the function spaces of multivector fields are split into complementary subspaces by the natural first-order differential operators, e.g., Hodge splittings and Hardy splittings. Much of the analysis is done on bounded domains in Euclidean space, with a focus on analysis at the boundary. The book also includes a derivation of new Dirac integral equations for solving Maxwell scattering problems, which hold promise for future numerical applications. The last section presents down-to-earth proofs of index theorems for Dirac operators on compact manifolds, one of the most celebrated achievements of 20th-century mathematics. The book is primarily intended for graduate and PhD students of mathematics. It is also recommended for more advanced undergraduate students, as well as researchers in mathematics interested in an introduction to geometric analysis.
Book Synopsis Russian-English Dictionary of Mathematics by : Oleg Efimov
Download or read book Russian-English Dictionary of Mathematics written by Oleg Efimov and published by CRC Press. This book was released on 2018-05-04 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt: An essential book for anyone using Russian mathematical and scientific literature Russian-English Dictionary of Mathematics embraces all major branches of mathematics from elementary topics to advanced studies in topology and discrete mathematics. Terms from the newest branches of mathematics, such as the theories of games, trees, knots, and braids, are included as well.Containing more than 27,000 entries, Russian-English Dictionary of Mathematics is larger and provides a broader scope than any other bilingual mathematics dictionary now in use. Many adjectives and verbs are included, and a copious amount of synonyms are provided for various terms. Secondary terms are grouped under principal terms for easier reference.Russian-English Dictionary of Mathematics provides the most comprehensive vocabulary aid available for translators, readers, and writers of Russian mathematical and scientific literature.
Book Synopsis Physics Of Self-organization Systems (With Cd-rom) - Proceedings Of The 5th 21st Century Coe Symposium by : Shin'ichi Ishiwata
Download or read book Physics Of Self-organization Systems (With Cd-rom) - Proceedings Of The 5th 21st Century Coe Symposium written by Shin'ichi Ishiwata and published by World Scientific. This book was released on 2008-04-29 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents the new objectives of physics on self-organizing systems composed of multi-components, in order to create a new field and establish universal comprehension in physics. The book covers broad topics such as the thermodynamic time asymmetry in both transient and stationary nonequilibrium states, the seriousness of auxiliary conditions in physicochemical processes and biological systems, the quantum-classical and micro-macro interfaces which are familiar in mesoscopic physics, the purification scheme of quantum entanglement, topics on gamma-ray bursts, and the walking mechanism of single molecular motors.
Book Synopsis Complex Analysis and Geometry by : Vincenzo Ancona
Download or read book Complex Analysis and Geometry written by Vincenzo Ancona and published by CRC Press. This book was released on 1995-09-27 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on a conference held in Trento, Italy, and sponsored by the Centro Internazionale per la Ricera Matematica, this work presents advances in several complex variables and related topics such as transcendental algebraic geometry, infinite dimensional supermanifolds, and foliations. It covers the unfoldings of singularities, Levi foliations, Cauchy-Reimann manifolds, infinite dimensional supermanifolds, conformal structures, algebraic groups, instantons and more.
Book Synopsis French Philosophy of Technology by : Sacha Loeve
Download or read book French Philosophy of Technology written by Sacha Loeve and published by Springer. This book was released on 2018-05-28 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: Offering an overall insight into the French tradition of philosophy of technology, this volume is meant to make French-speaking contributions more accessible to the international philosophical community. The first section, “Negotiating a Cultural Heritage,” presents a number of leading 20th century philosophical figures (from Bergson and Canguilhem to Simondon, Dagognet or Ellul) and intellectual movements (from Personalism to French Cybernetics and political ecology) that help shape philosophy of technology in the Francophone area, and feed into contemporary debates (ecology of technology, politics of technology, game studies). The second section, “Coining and Reconfiguring Technoscience,” traces the genealogy of this controversial concept and discusses its meanings and relevance. A third section, “Revisiting Anthropological Categories,” focuses on the relationships of technology with the natural and the human worlds from various perspectives that include anthropotechnology, Anthropocene, technological and vital norms and temporalities. The final section, “Innovating in Ethics, Design and Aesthetics,” brings together contributions that draw on various French traditions to afford fresh insights on ethics of technology, philosophy of design, techno-aesthetics and digital studies. The contributions in this volume are vivid and rich in original approaches that can spur exchanges and debates with other philosophical traditions.
Book Synopsis Categories for the Working Philosopher by : Elaine Landry
Download or read book Categories for the Working Philosopher written by Elaine Landry and published by Oxford University Press. This book was released on 2017-11-17 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: Often people have wondered why there is no introductory text on category theory aimed at philosophers working in related areas. The answer is simple: what makes categories interesting and significant is their specific use for specific purposes. These uses and purposes, however, vary over many areas, both "pure", e.g., mathematical, foundational and logical, and "applied", e.g., applied to physics, biology and the nature and structure of mathematical models. Borrowing from the title of Saunders Mac Lane's seminal work "Categories for the Working Mathematician", this book aims to bring the concepts of category theory to philosophers working in areas ranging from mathematics to proof theory to computer science to ontology, from to physics to biology to cognition, from mathematical modeling to the structure of scientific theories to the structure of the world. Moreover, it aims to do this in a way that is accessible to non-specialists. Each chapter is written by either a category-theorist or a philosopher working in one of the represented areas, and in a way that builds on the concepts that are already familiar to philosophers working in these areas.
Book Synopsis Non-Associative Normed Algebras: Volume 1, The Vidav–Palmer and Gelfand–Naimark Theorems by : Miguel Cabrera García
Download or read book Non-Associative Normed Algebras: Volume 1, The Vidav–Palmer and Gelfand–Naimark Theorems written by Miguel Cabrera García and published by Cambridge University Press. This book was released on 2014-07-31 with total page 735 pages. Available in PDF, EPUB and Kindle. Book excerpt: This first systematic account of the basic theory of normed algebras, without assuming associativity, includes many new and unpublished results and is sure to become a central resource for researchers and graduate students in the field. This first volume focuses on the non-associative generalizations of (associative) C*-algebras provided by the so-called non-associative Gelfand–Naimark and Vidav–Palmer theorems, which give rise to alternative C*-algebras and non-commutative JB*-algebras, respectively. The relationship between non-commutative JB*-algebras and JB*-triples is also fully discussed. The second volume covers Zel'manov's celebrated work in Jordan theory to derive classification theorems for non-commutative JB*-algebras and JB*-triples, as well as other topics. The book interweaves pure algebra, geometry of normed spaces, and complex analysis, and includes a wealth of historical comments, background material, examples and exercises. The authors also provide an extensive bibliography.
Book Synopsis A Survey of Lie Groups and Lie Algebras with Applications and Computational Methods by : Johan G. F. Belinfante
Download or read book A Survey of Lie Groups and Lie Algebras with Applications and Computational Methods written by Johan G. F. Belinfante and published by SIAM. This book was released on 1989-01-01 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this reprint edition, the character of the book, especially its focus on classical representation theory and its computational aspects, has not been changed
Book Synopsis Several Complex Variables and Complex Manifolds by : Mike Field
Download or read book Several Complex Variables and Complex Manifolds written by Mike Field and published by Cambridge University Press. This book was released on 1982 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: Annotation This self-contained and relatively elementary introduction to functions of several complex variables and complex (especially compact) manifolds is intended to be a synthesis of those topics and a broad introduction to the field. Part I is suitable for advanced undergraduates and beginning postgraduates whilst Part II is written more for the graduate student. The work as a whole will be useful to professional mathematicians or mathematical physicists who wish to acquire a working knowledge of this area of mathematics. Many exercises have been included and indeed they form an integral part of the text. The prerequisites for understanding Part I would be met by any mathematics student with a first degree and together the two parts provide an introduction to the more advanced works in the subject.
Book Synopsis The Moment-Weight Inequality and the Hilbert–Mumford Criterion by : Valentina Georgoulas
Download or read book The Moment-Weight Inequality and the Hilbert–Mumford Criterion written by Valentina Georgoulas and published by Springer Nature. This book was released on 2022-01-01 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to geometric invariant theory from a differential geometric viewpoint. It is inspired by certain infinite-dimensional analogues of geometric invariant theory that arise naturally in several different areas of geometry. The central ingredients are the moment-weight inequality relating the Mumford numerical invariants to the norm of the moment map, the negative gradient flow of the moment map squared, and the Kempf--Ness function. The exposition is essentially self-contained, except for an appeal to the Lojasiewicz gradient inequality. A broad variety of examples illustrate the theory, and five appendices cover essential topics that go beyond the basic concepts of differential geometry. The comprehensive bibliography will be a valuable resource for researchers. The book is addressed to graduate students and researchers interested in geometric invariant theory and related subjects. It will be easily accessible to readers with a basic understanding of differential geometry and does not require any knowledge of algebraic geometry.
