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Iteration Theory Ecit 94


Iteration Theory Ecit 94
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Iteration Theory Ecit 94


Iteration Theory Ecit 94
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Author : Ludwig Reich
language : en
Publisher:
Release Date : 1997

Iteration Theory Ecit 94 written by Ludwig Reich and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Iterative methods (Mathematics) categories.




Iteration Theory Ecit 94


Iteration Theory Ecit 94
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Author : Ludwig Reich
language : de
Publisher:
Release Date : 1997

Iteration Theory Ecit 94 written by Ludwig Reich and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with categories.




Asymptotic Differential Algebra And Model Theory Of Transseries


Asymptotic Differential Algebra And Model Theory Of Transseries
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Author : Matthias Aschenbrenner
language : en
Publisher: Princeton University Press
Release Date : 2017-06-06

Asymptotic Differential Algebra And Model Theory Of Transseries written by Matthias Aschenbrenner and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-06-06 with Mathematics categories.


Asymptotic differential algebra seeks to understand the solutions of differential equations and their asymptotics from an algebraic point of view. The differential field of transseries plays a central role in the subject. Besides powers of the variable, these series may contain exponential and logarithmic terms. Over the last thirty years, transseries emerged variously as super-exact asymptotic expansions of return maps of analytic vector fields, in connection with Tarski's problem on the field of reals with exponentiation, and in mathematical physics. Their formal nature also makes them suitable for machine computations in computer algebra systems. This self-contained book validates the intuition that the differential field of transseries is a universal domain for asymptotic differential algebra. It does so by establishing in the realm of transseries a complete elimination theory for systems of algebraic differential equations with asymptotic side conditions. Beginning with background chapters on valuations and differential algebra, the book goes on to develop the basic theory of valued differential fields, including a notion of differential-henselianity. Next, H-fields are singled out among ordered valued differential fields to provide an algebraic setting for the common properties of Hardy fields and the differential field of transseries. The study of their extensions culminates in an analogue of the algebraic closure of a field: the Newton-Liouville closure of an H-field. This paves the way to a quantifier elimination with interesting consequences.



The Architecture Of Modern Mathematics


The Architecture Of Modern Mathematics
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Author : J. Ferreiros
language : en
Publisher: OUP Oxford
Release Date : 2006-04-27

The Architecture Of Modern Mathematics written by J. Ferreiros and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-04-27 with Mathematics categories.


This edited volume, aimed at both students and researchers in philosophy, mathematics and history of science, highlights leading developments in the overlapping areas of philosophy and the history of modern mathematics. It is a coherent, wide ranging account of how a number of topics in the philosophy of mathematics must be reconsidered in the light of the latest historical research, and how a number of historical accounts can be deepened by embracing philosophical questions.



Essays On Frege S Basic Laws Of Arithmetic


Essays On Frege S Basic Laws Of Arithmetic
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Author : Philip A. Ebert
language : en
Publisher: Oxford University Press
Release Date : 2019-09-11

Essays On Frege S Basic Laws Of Arithmetic written by Philip A. Ebert and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-09-11 with Philosophy categories.


The volume is the first collection of essays that focuses on Gottlob Frege's Basic Laws of Arithmetic (1893/1903), highlighting both the technical and the philosophical richness of Frege's magnum opus. It brings together twenty-two renowned Frege scholars whose contributions discuss a wide range of topics arising from both volumes of Basic Laws of Arithmetic. The original chapters in this volume make vivid the importance and originality of Frege's masterpiece, not just for Frege scholars but for the study of the history of logic, mathematics, and philosophy.



Combinatorial Dynamics And Entropy In Dimension One 2nd Edition


Combinatorial Dynamics And Entropy In Dimension One 2nd Edition
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Author : Luis Alseda
language : en
Publisher: World Scientific Publishing Company
Release Date : 2000-10-31

Combinatorial Dynamics And Entropy In Dimension One 2nd Edition written by Luis Alseda and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-10-31 with Science categories.


This book introduces the reader to the two main directions of one-dimensional dynamics. The first has its roots in the Sharkovskii theorem, which describes the possible sets of periods of all cycles (periodic orbits) of a continuous map of an interval into itself. The whole theory, which was developed based on this theorem, deals mainly with combinatorial objects, permutations, graphs, etc.; it is called combinatorial dynamics. The second direction has its main objective in measuring the complexity of a system, or the degree of “chaos” present in it; for that the topological entropy is used. The book analyzes the combinatorial dynamics and topological entropy for the continuous maps of either an interval or the circle into itself.



Chaotic Dynamics In Nonlinear Theory


Chaotic Dynamics In Nonlinear Theory
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Author : Lakshmi Burra
language : en
Publisher: Springer
Release Date : 2014-09-10

Chaotic Dynamics In Nonlinear Theory written by Lakshmi Burra and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-10 with Mathematics categories.


Using phase–plane analysis, findings from the theory of topological horseshoes and linked-twist maps, this book presents a novel method to prove the existence of chaotic dynamics. In dynamical systems, complex behavior in a map can be indicated by showing the existence of a Smale-horseshoe-like structure, either for the map itself or its iterates. This usually requires some assumptions about the map, such as a diffeomorphism and some hyperbolicity conditions. In this text, less stringent definitions of a horseshoe have been suggested so as to reproduce some geometrical features typical of the Smale horseshoe, while leaving out the hyperbolicity conditions associated with it. This leads to the study of the so-called topological horseshoes. The presence of chaos-like dynamics in a vertically driven planar pendulum, a pendulum of variable length, and in other more general related equations is also proved.



Operator Theoretic Aspects Of Ergodic Theory


Operator Theoretic Aspects Of Ergodic Theory
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Author : Tanja Eisner
language : en
Publisher: Springer
Release Date : 2015-11-18

Operator Theoretic Aspects Of Ergodic Theory written by Tanja Eisner and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-11-18 with Mathematics categories.


Stunning recent results by Host–Kra, Green–Tao, and others, highlight the timeliness of this systematic introduction to classical ergodic theory using the tools of operator theory. Assuming no prior exposure to ergodic theory, this book provides a modern foundation for introductory courses on ergodic theory, especially for students or researchers with an interest in functional analysis. While basic analytic notions and results are reviewed in several appendices, more advanced operator theoretic topics are developed in detail, even beyond their immediate connection with ergodic theory. As a consequence, the book is also suitable for advanced or special-topic courses on functional analysis with applications to ergodic theory. Topics include: • an intuitive introduction to ergodic theory • an introduction to the basic notions, constructions, and standard examples of topological dynamical systems • Koopman operators, Banach lattices, lattice and algebra homomorphisms, and the Gelfand–Naimark theorem • measure-preserving dynamical systems • von Neumann’s Mean Ergodic Theorem and Birkhoff’s Pointwise Ergodic Theorem • strongly and weakly mixing systems • an examination of notions of isomorphism for measure-preserving systems • Markov operators, and the related concept of a factor of a measure preserving system • compact groups and semigroups, and a powerful tool in their study, the Jacobs–de Leeuw–Glicksberg decomposition • an introduction to the spectral theory of dynamical systems, the theorems of Furstenberg and Weiss on multiple recurrence, and applications of dynamical systems to combinatorics (theorems of van der Waerden, Gallai,and Hindman, Furstenberg’s Correspondence Principle, theorems of Roth and Furstenberg–Sárközy) Beyond its use in the classroom, Operator Theoretic Aspects of Ergodic Theory can serve as a valuable foundation for doing research at the intersection of ergodic theory and operator theory



Lotka Volterra And Related Systems


Lotka Volterra And Related Systems
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Author : Shair Ahmad
language : en
Publisher: Walter de Gruyter
Release Date : 2013-05-28

Lotka Volterra And Related Systems written by Shair Ahmad and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-28 with Mathematics categories.


In recent years, there has been a tremendous amount of research activity in the general area of population dynamics, particularly the Lotka-Volterra system, which has been a rich source of mathematical ideas from both theoretical and application points of view. In spite of the technological advances, many authors seem to be unaware of the bulk of the work that has been done in this area recently. This often leads to duplication of work and frustration to the authors as well as to the editors of various journals. This book is built out of lecture notes and consists of three chapters written by four mathematicians with overlapping expertise that cover a broad sector of the research in this area. Each chapter consists of carefully written introductory exposition, main breakthroughs, open questions and bibliographies. The chapters present recent developments on topics involving the dynamic behavior of solutions and topics such as stability theory, permanence, persistence, extinction, existence of positive solutions for the Lotka-Volterra and related systems. This fills a void in the literature, by making available a source book of relevant information on the theory, methods and applications of an important area of research.



Annales Mathematicae Silesianae


Annales Mathematicae Silesianae
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Author :
language : en
Publisher:
Release Date : 1999

Annales Mathematicae Silesianae written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Mathematics categories.