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Author : Rothwell Clifford Stephens
Publisher :
ISBN 13 :
Total Pages : 26 pages
Book Rating : 4.:/5 (318 download)
Download or read book Continuous Transformations of Abstract Spaces written by Rothwell Clifford Stephens and published by . This book was released on 1932 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Rothwell Clifford Stephens
Publisher :
ISBN 13 :
Total Pages : 88 pages
Book Rating : 4.:/5 (645 download)
Download or read book Continuous Transformations of Abstract Spaces written by Rothwell Clifford Stephens and published by . This book was released on 1931 with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Kazuo Nishimura
Publisher : Springer Nature
ISBN 13 : 9811644578
Total Pages : 427 pages
Book Rating : 4.8/5 (116 download)
Download or read book Creative Complex Systems written by Kazuo Nishimura and published by Springer Nature. This book was released on 2021-10-26 with total page 427 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years, problems such as environmental and economic crises and pandemics caused by new viruses have been occurring on a global scale. Globalization brings about benefits, but it can increase the potential risks of “systemic problems”, leading to system-wide disruptions. The coronavirus pandemic, declared on March 11, 2020, by the World Health Organization, has revealed social disparities in the form of a higher risk of death for people of low-socioeconomic status and has caused massive destruction of the economy and of globalization itself. Extensive efforts to cope with these challenges have often led to the emergence of additional problems due to the chain of hidden causation. What can be done to protect against such emerging challenges? Despite the resulting complexity, once these individual problems are considered as different aspects of a single whole, seemingly contradictory issues can become totally understandable, as they can be integrated into a single coherent framework. This is the integrationist approach in contrast to the reductionist approach. Situations of this kind are truly relevant to understanding the question, “What are creative complex systems?” This book features contributions by members and colleagues of the Kyoto University International Research Unit of Integrated Complex System Science. It broadens our outlook from the traditional view of stability, in which global situations are eventually stabilized after the impact of destruction, to “creative” complex systems.
Author : Giorgio Israel
Publisher : Springer Science & Business Media
ISBN 13 : 3764398965
Total Pages : 215 pages
Book Rating : 4.7/5 (643 download)
Download or read book The World as a Mathematical Game written by Giorgio Israel and published by Springer Science & Business Media. This book was released on 2009-04-24 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: Galileo and Newton’s work towards the mathematisation of the physical world; Leibniz’s universal logical calculus; the Enlightenment’s mathématique sociale. John von Neumann inherited all these aims and philosophical intuitions, together with an idea that grew up around the Vienna Circle of an ethics in the form of an exact science capable of guiding individuals to make correct decisions. With the help of his boundless mathematical capacity, von Neumann developed a conception of the world as a mathematical game, a world globally governed by a universal logic in which individual consciousness moved following different strategies: his vision guided him from set theory to quantum mechanics, to economics and to his theory of automata (anticipating artificial intelligence and cognitive science). This book provides the first comprehensive scientific and intellectual biography of John von Neumann, a man who perhaps more than any other is representative of twentieth century science.
Author : A.Süleyman Üstünel
Publisher : Springer Science & Business Media
ISBN 13 : 3662132257
Total Pages : 303 pages
Book Rating : 4.6/5 (621 download)
Download or read book Transformation of Measure on Wiener Space written by A.Süleyman Üstünel and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique book on the subject addresses fundamental problems and will be the standard reference for a long time to come. The authors have different scientific origins and combine these successfully, creating a text aimed at graduate students and researchers that can be used for courses and seminars.
Author : F. M. Hall
Publisher : CUP Archive
ISBN 13 :
Total Pages : 404 pages
Book Rating : 4./5 ( download)
Download or read book An Introduction to Abstract Algebra written by F. M. Hall and published by CUP Archive. This book was released on 1966 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: A summary of basic group theory is followed by accounts of group homomorphisms, rings, fields and integral domains. The book is intended both for those who wish to know something about modern algebra and also for those already familiar with the elements of the subject who wish to study further.
Author : Thomas Ferbel
Publisher : Springer Science & Business Media
ISBN 13 : 9401146896
Total Pages : 631 pages
Book Rating : 4.4/5 (11 download)
Download or read book Techniques and Concepts of High Energy Physics X written by Thomas Ferbel and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 631 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Proceedings of the tenth Advanced Study Institute (ASI) on Tech niques and Concepts of High Energy Physics are dedicated to Jane and Bob Wilson. Jane joined Bob at St. Croix for the first session of this Institute, after Bob had stepped down as director of Fermilab, and was scheming to build a modest charm factory in the parking lot of Columbia University's Nevis Laboratory. Through the years, Bob has been a great friend of the School, and much of its success and flavor can be attributed to his guidance and support. The 1998 meeting was held once again at the Hotel on the Cay, and, as before, the work and the fun went on very enjoyably. We had a to tal of 76 participants from 23 countries, with the main financial support for the meeting provided by the Scientific Affairs Division of the North Atlantic Treaty Organization (NATO). The ASI was co-sponsored by the U. S. Department of Energy, by the Fermi National Accelerator Laboratory (Fermilab), by the U.S. National Science Foundation, and by the University of Rochester. As in the case of the previous ASIs, the scientific program was designed for advanced graduate students and recent PhD recipients in experimental particle physics. The present volume of lectures should complement and update the material published (by Plenum) for the first nine ASIs and prove to be of value to a wider audience of physicists.
Author : Witold Hurewicz
Publisher : Courier Corporation
ISBN 13 : 048679721X
Total Pages : 146 pages
Book Rating : 4.4/5 (867 download)
Download or read book Lectures on Ordinary Differential Equations written by Witold Hurewicz and published by Courier Corporation. This book was released on 2014-07-21 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introductory treatment explores existence theorems for first-order scalar and vector equations, basic properties of linear vector equations, and two-dimensional nonlinear autonomous systems. "A rigorous and lively introduction." — The American Mathematical Monthly. 1958 edition.
Author : Ioannis K. Argyros
Publisher : CRC Press
ISBN 13 : 9780849387029
Total Pages : 598 pages
Book Rating : 4.3/5 (87 download)
Download or read book Polynomial Operator Equations in Abstract Spaces and Applications written by Ioannis K. Argyros and published by CRC Press. This book was released on 1998-03-25 with total page 598 pages. Available in PDF, EPUB and Kindle. Book excerpt: Polynomial operators are a natural generalization of linear operators. Equations in such operators are the linear space analog of ordinary polynomials in one or several variables over the fields of real or complex numbers. Such equations encompass a broad spectrum of applied problems including all linear equations. Often the polynomial nature of many nonlinear problems goes unrecognized by researchers. This is more likely due to the fact that polynomial operators - unlike polynomials in a single variable - have received little attention. Consequently, this comprehensive presentation is needed, benefiting those working in the field as well as those seeking information about specific results or techniques. Polynomial Operator Equations in Abstract Spaces and Applications - an outgrowth of fifteen years of the author's research work - presents new and traditional results about polynomial equations as well as analyzes current iterative methods for their numerical solution in various general space settings. Topics include: Special cases of nonlinear operator equations Solution of polynomial operator equations of positive integer degree n Results on global existence theorems not related with contractions Galois theory Polynomial integral and polynomial differential equations appearing in radiative transfer, heat transfer, neutron transport, electromechanical networks, elasticity, and other areas Results on the various Chandrasekhar equations Weierstrass theorem Matrix representations Lagrange and Hermite interpolation Bounds of polynomial equations in Banach space, Banach algebra, and Hilbert space The materials discussed can be used for the following studies Advanced numerical analysis Numerical functional analysis Functional analysis Approximation theory Integral and differential equations Tables include Numerical solutions for Chandrasekhar's equation I to VI Error bounds comparison Accelerations schemes I and II for Newton's method Newton's method Secant method The self-contained text thoroughly details results, adds exercises for each chapter, and includes several applications for the solution of integral and differential equations throughout every chapter.
Author : V. Lakshmikantham
Publisher : Pergamon
ISBN 13 :
Total Pages : 276 pages
Book Rating : 4.:/5 (44 download)
Download or read book Nonlinear Differential Equations in Abstract Spaces written by V. Lakshmikantham and published by Pergamon. This book was released on 1981 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many problems in partial differential equations which arise from physical models can be considered as ordinary differential equations in appropriate infinite dimensional spaces, for which elegant theories and powerful techniques have recently been developed. This book gives a detailed account of the current state of the theory of nonlinear differential equations in a Banach space, and discusses existence theory for differential equations with continuous and discontinuous right-hand sides. Of special importance is the first systematic presentation of the very important and complex theory of multivalued discontinuous differential equations
Author : Gian Francesco Giudice
Publisher : OUP Oxford
ISBN 13 : 0191580449
Total Pages : 288 pages
Book Rating : 4.1/5 (915 download)
Download or read book A Zeptospace Odyssey: A Journey into the Physics of the LHC written by Gian Francesco Giudice and published by OUP Oxford. This book was released on 2009-12-03 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: At this very moment the most ambitious scientific experiment of all time is beginning, and yet its precise aims are little understood by the general public. This book aims to provide an everyman's guide for understanding and following the discoveries that will take place within the next few years at the Large Hadron Collider project at CERN. The reader is invited to share an insider's view of the theory of particle physics, and is equipped to appreciate the scale of the intellectual revolution that is about to take place. The technological innovations required to build the LHC are among the most astonishing aspects of this scientific adventure, and they too are described here as part of the LHC story. The book culminates with an outline of the scientific aims and expectations at the LHC. Does the mysterious Higgs boson exist? Does space hide supersymmetry or extend into extra dimensions? How can colliding protons at the LHC unlock the secrets of the origin of our universe? These questions are all framed and then addressed by an expert in the field. While making no compromises in accuracy, this highly technical material is presented in a friendly, accessible style. The book's aim is not just to inform, but to give the reader the physicist's sense of awe and excitement, as we stand on the brink of a new era in understanding the world in which we all live.
Author : Frigyes Riesz
Publisher : Courier Corporation
ISBN 13 : 0486162141
Total Pages : 530 pages
Book Rating : 4.4/5 (861 download)
Download or read book Functional Analysis written by Frigyes Riesz and published by Courier Corporation. This book was released on 2012-12-27 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: DIVClassic exposition of modern theories of differentiation and integration and principal problems and methods of handling integral equations and linear functionals and transformations. 1955 edition. /div
Author : Steven M. Rosen
Publisher : State University of New York Press
ISBN 13 : 1438417799
Total Pages : 344 pages
Book Rating : 4.4/5 (384 download)
Download or read book Science, Paradox, and the Moebius Principle written by Steven M. Rosen and published by State University of New York Press. This book was released on 1994-03-31 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: Science, Paradox, and the Moebius Principle confronts basic anomalies in the foundations of contemporary knowledge. Steven M. Rosen deals with paradoxes that call into question our conventional way of thinking about space, time, and the nature of human experience. Rosen's contribution is unique in at least five respects: 1) He provides an unparalleled integration of modern theoretical science and contemporary phenomenological thought. 2) He features a section of dialogue with David Bohm, who contributed greatly in fields of major concern to the book. 3) He sets forth a process theory and philosophy, presenting a concept in which space, time, and consciousness undergo a continuous internal transformation and organic growth. 4) He furnishes a highly specific account of dialectical change, employing geometric forms that bring the dynamics of paradox into focus with unprecedented clarity. 5) He is transdisciplinary and provides transcultural bridges between the "two cultures" of science and the humanities.
Author : E. Hewitt
Publisher : Springer Science & Business Media
ISBN 13 : 3642880444
Total Pages : 485 pages
Book Rating : 4.6/5 (428 download)
Download or read book Real and Abstract Analysis written by E. Hewitt and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 485 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is first of all designed as a text for the course usually called "theory of functions of a real variable". This course is at present cus tomarily offered as a first or second year graduate course in United States universities, although there are signs that this sort of analysis will soon penetrate upper division undergraduate curricula. We have included every topic that we think essential for the training of analysts, and we have also gone down a number of interesting bypaths. We hope too that the book will be useful as a reference for mature mathematicians and other scientific workers. Hence we have presented very general and complete versions of a number of important theorems and constructions. Since these sophisticated versions may be difficult for the beginner, we have given elementary avatars of all important theorems, with appro priate suggestions for skipping. We have given complete definitions, ex planations, and proofs throughout, so that the book should be usable for individual study as well as for a course text. Prerequisites for reading the book are the following. The reader is assumed to know elementary analysis as the subject is set forth, for example, in TOM M. ApOSTOL'S Mathematical Analysis [Addison-Wesley Publ. Co., Reading, Mass., 1957], or WALTER RUDIN'S Principles of M athe nd matical Analysis [2 Ed., McGraw-Hill Book Co., New York, 1964].
Author : George Chadwick
Publisher : Elsevier
ISBN 13 : 1483139387
Total Pages : 449 pages
Book Rating : 4.4/5 (831 download)
Download or read book A Systems View of Planning written by George Chadwick and published by Elsevier. This book was released on 2013-10-22 with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Systems View Of Planning: Towards A Theory of the Urban and Regional Planning sets out to be a special kind of theory of the process known as town and regional planning, which is based upon the broader theory of General Systems and its allied field of Cybernetics. Because of this, the content of the book differs considerably from what most town planners think of as relevant to the subject. The book begins with physical change and human ecology, and then moves on to systems and planning, its goals, projecting the future of the system, operational models and their underlying theories, and management and planning. The book appeals to planners, architects, and city engineers, especially those who wish to learn or make a study on the systems view of planning, its different theories and methods, its possible future, and its many applications in designing and improving towns and cities.
Author : Bryan Rynne
Publisher : Springer Science & Business Media
ISBN 13 : 1447136551
Total Pages : 276 pages
Book Rating : 4.4/5 (471 download)
Download or read book Linear Functional Analysis written by Bryan Rynne and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to the ideas and methods of linear func tional analysis at a level appropriate to the final year of an undergraduate course at a British university. The prerequisites for reading it are a standard undergraduate knowledge of linear algebra and real analysis (including the the ory of metric spaces). Part of the development of functional analysis can be traced to attempts to find a suitable framework in which to discuss differential and integral equa tions. Often, the appropriate setting turned out to be a vector space of real or complex-valued functions defined on some set. In general, such a vector space is infinite-dimensional. This leads to difficulties in that, although many of the elementary properties of finite-dimensional vector spaces hold in infinite dimensional vector spaces, many others do not. For example, in general infinite dimensional vector spaces there is no framework in which to make sense of an alytic concepts such as convergence and continuity. Nevertheless, on the spaces of most interest to us there is often a norm (which extends the idea of the length of a vector to a somewhat more abstract setting). Since a norm on a vector space gives rise to a metric on the space, it is now possible to do analysis in the space. As real or complex-valued functions are often called functionals, the term functional analysis came to be used for this topic. We now briefly outline the contents of the book.
Author : Yichir Kakihara
Publisher : World Scientific
ISBN 13 : 9789810237110
Total Pages : 272 pages
Book Rating : 4.2/5 (371 download)
Download or read book Abstract Methods in Information Theory written by Yichir Kakihara and published by World Scientific. This book was released on 1999 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Information Theory is studied from the following view points: (1) the theory of entropy as amount of information; (2) the mathematical structure of information sources (probability measures); and (3) the theory of information channels. Shannon entropy and Kolmogorov-Sinai entropy are defined and their basic properties are examined, where the latter entropy is extended to be a linear functional on a certain set of measures. Ergodic and mixing properties of stationary sources are studied as well as AMS (asymptotically mean stationary) sources. The main purpose of this book is to present information channels in the environment of real and functional analysis as well as probability theory. Ergodic channels are characterized in various manners. Mixing and AMS channels are also considered in detail with some illustrations. A few other aspects of information channels including measurability, approximation and noncommutative extensions, are also discussed.
