Author: Sherman Ko Wong
Publisher:
ISBN:
Category :
Languages : en
Pages : 92
Book Description
Some Statistical Properties of Piecewise Monotonic Transformations of the Unit Interval
Author: Sherman Ko Wong
Publisher:
ISBN:
Category :
Languages : en
Pages : 92
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 92
Book Description
Mathematical Problems of Statistical Mechanics and Dyanamics
Author: R.L. Dobrushin
Publisher: Springer Science & Business Media
ISBN: 9400945922
Category : Science
Languages : en
Pages : 272
Book Description
Approach your problems from the It isn't that they can't see the solution. right end and begin with the answers. It is that they can't see the problem. Then one day, perhaps you will find the final question. G. K. Chesterton. The Scandal of Father Brown 'The point of a Pin'. 'The Hermit Clad in Crane Feathers' in R. van Gulik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the 'tree' of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as 'experimental mathematics', 'CFD', 'completely integrable systems', 'chaos, synergetics and large-scale order', which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics.
Publisher: Springer Science & Business Media
ISBN: 9400945922
Category : Science
Languages : en
Pages : 272
Book Description
Approach your problems from the It isn't that they can't see the solution. right end and begin with the answers. It is that they can't see the problem. Then one day, perhaps you will find the final question. G. K. Chesterton. The Scandal of Father Brown 'The point of a Pin'. 'The Hermit Clad in Crane Feathers' in R. van Gulik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the 'tree' of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as 'experimental mathematics', 'CFD', 'completely integrable systems', 'chaos, synergetics and large-scale order', which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics.
Ergodic Theory and Related Topics
Author: Horst Michel
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3112735951
Category : Mathematics
Languages : en
Pages : 232
Book Description
No detailed description available for "Ergodic Theory and Related Topics".
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3112735951
Category : Mathematics
Languages : en
Pages : 232
Book Description
No detailed description available for "Ergodic Theory and Related Topics".
American Doctoral Dissertations
Author:
Publisher:
ISBN:
Category : Dissertation abstracts
Languages : en
Pages : 568
Book Description
Publisher:
ISBN:
Category : Dissertation abstracts
Languages : en
Pages : 568
Book Description
Laws of Chaos
Author: Abraham Boyarsky
Publisher: Springer Science & Business Media
ISBN: 1461220246
Category : Mathematics
Languages : en
Pages : 413
Book Description
A hundred years ago it became known that deterministic systems can exhibit very complex behavior. By proving that ordinary differential equations can exhibit strange behavior, Poincare undermined the founda tions of Newtonian physics and opened a window to the modern theory of nonlinear dynamics and chaos. Although in the 1930s and 1940s strange behavior was observed in many physical systems, the notion that this phenomenon was inherent in deterministic systems was never suggested. Even with the powerful results of S. Smale in the 1960s, complicated be havior of deterministic systems remained no more than a mathematical curiosity. Not until the late 1970s, with the advent of fast and cheap comput ers, was it recognized that chaotic behavior was prevalent in almost all domains of science and technology. Smale horseshoes began appearing in many scientific fields. In 1971, the phrase 'strange attractor' was coined to describe complicated long-term behavior of deterministic systems, and the term quickly became a paradigm of nonlinear dynamics. The tools needed to study chaotic phenomena are entirely different from those used to study periodic or quasi-periodic systems; these tools are analytic and measure-theoretic rather than geometric. For example, in throwing a die, we can study the limiting behavior of the system by viewing the long-term behavior of individual orbits. This would reveal incomprehensibly complex behavior. Or we can shift our perspective: Instead of viewing the long-term outcomes themselves, we can view the probabilities of these outcomes. This is the measure-theoretic approach taken in this book.
Publisher: Springer Science & Business Media
ISBN: 1461220246
Category : Mathematics
Languages : en
Pages : 413
Book Description
A hundred years ago it became known that deterministic systems can exhibit very complex behavior. By proving that ordinary differential equations can exhibit strange behavior, Poincare undermined the founda tions of Newtonian physics and opened a window to the modern theory of nonlinear dynamics and chaos. Although in the 1930s and 1940s strange behavior was observed in many physical systems, the notion that this phenomenon was inherent in deterministic systems was never suggested. Even with the powerful results of S. Smale in the 1960s, complicated be havior of deterministic systems remained no more than a mathematical curiosity. Not until the late 1970s, with the advent of fast and cheap comput ers, was it recognized that chaotic behavior was prevalent in almost all domains of science and technology. Smale horseshoes began appearing in many scientific fields. In 1971, the phrase 'strange attractor' was coined to describe complicated long-term behavior of deterministic systems, and the term quickly became a paradigm of nonlinear dynamics. The tools needed to study chaotic phenomena are entirely different from those used to study periodic or quasi-periodic systems; these tools are analytic and measure-theoretic rather than geometric. For example, in throwing a die, we can study the limiting behavior of the system by viewing the long-term behavior of individual orbits. This would reveal incomprehensibly complex behavior. Or we can shift our perspective: Instead of viewing the long-term outcomes themselves, we can view the probabilities of these outcomes. This is the measure-theoretic approach taken in this book.
Comprehensive Dissertation Index: Mathematics & statistics. Physics, A-E
Author:
Publisher:
ISBN:
Category : Dissertations, Academic
Languages : en
Pages : 1008
Book Description
Publisher:
ISBN:
Category : Dissertations, Academic
Languages : en
Pages : 1008
Book Description
Notices of the American Mathematical Society
Author: American Mathematical Society
Publisher:
ISBN:
Category : Electronic journals
Languages : en
Pages : 654
Book Description
Contains articles of significant interest to mathematicians, including reports on current mathematical research.
Publisher:
ISBN:
Category : Electronic journals
Languages : en
Pages : 654
Book Description
Contains articles of significant interest to mathematicians, including reports on current mathematical research.
Comprehensive Dissertation Index
Author:
Publisher:
ISBN:
Category : Dissertations, Academic
Languages : en
Pages : 974
Book Description
Vols. for 1973- include the following subject areas: Biological sciences, Agriculture, Chemistry, Environmental sciences, Health sciences, Engineering, Mathematics and statistics, Earth sciences, Physics, Education, Psychology, Sociology, Anthropology, History, Law & political science, Business & economics, Geography & regional planning, Language & literature, Fine arts, Library & information science, Mass communications, Music, Philosophy and Religion.
Publisher:
ISBN:
Category : Dissertations, Academic
Languages : en
Pages : 974
Book Description
Vols. for 1973- include the following subject areas: Biological sciences, Agriculture, Chemistry, Environmental sciences, Health sciences, Engineering, Mathematics and statistics, Earth sciences, Physics, Education, Psychology, Sociology, Anthropology, History, Law & political science, Business & economics, Geography & regional planning, Language & literature, Fine arts, Library & information science, Mass communications, Music, Philosophy and Religion.
Statistical Theory and Method Abstracts
Author:
Publisher:
ISBN:
Category : Statistics
Languages : en
Pages : 722
Book Description
Publisher:
ISBN:
Category : Statistics
Languages : en
Pages : 722
Book Description
Rendiconti
Author: Università di Padova. Facoltà di scienze fisiche, matematiche e naturali. Seminario Matematico
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 604
Book Description
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 604
Book Description