Dynamics In One Complex Variable Am 160

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Dynamics in One Complex Variable. (AM-160)

Author : John Milnor
Publisher : Princeton University Press
ISBN 13 : 1400835534
Total Pages : 313 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Dynamics in One Complex Variable. (AM-160) by : John Milnor

Download or read book Dynamics in One Complex Variable. (AM-160) written by John Milnor and published by Princeton University Press. This book was released on 2011-02-11 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume studies the dynamics of iterated holomorphic mappings from a Riemann surface to itself, concentrating on the classical case of rational maps of the Riemann sphere. This subject is large and rapidly growing. These lectures are intended to introduce some key ideas in the field, and to form a basis for further study. The reader is assumed to be familiar with the rudiments of complex variable theory and of two-dimensional differential geometry, as well as some basic topics from topology. This third edition contains a number of minor additions and improvements: A historical survey has been added, the definition of Lattés map has been made more inclusive, and the écalle-Voronin theory of parabolic points is described. The résidu itératif is studied, and the material on two complex variables has been expanded. Recent results on effective computability have been added, and the references have been expanded and updated. Written in his usual brilliant style, the author makes difficult mathematics look easy. This book is a very accessible source for much of what has been accomplished in the field.

Dynamics in One Complex Variable

Author : John Milnor
Publisher :
ISBN 13 : 9783663080930
Total Pages : 268 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Dynamics in One Complex Variable by : John Milnor

Download or read book Dynamics in One Complex Variable written by John Milnor and published by . This book was released on 2014-01-15 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Dynamics in One Complex Variable

Author : John Willard Milnor
Publisher :
ISBN 13 : 9789380250342
Total Pages : 304 pages
Book Rating : 4.2/5 (53 download)

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Book Synopsis Dynamics in One Complex Variable by : John Willard Milnor

Download or read book Dynamics in One Complex Variable written by John Willard Milnor and published by . This book was released on 2012 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Dynamics in One Complex Variable

Author : John Willard Milnor
Publisher :
ISBN 13 :
Total Pages : 127 pages
Book Rating : 4.:/5 (613 download)

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Book Synopsis Dynamics in One Complex Variable by : John Willard Milnor

Download or read book Dynamics in One Complex Variable written by John Willard Milnor and published by . This book was released on 1995 with total page 127 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Dynamics in One Complex Variable

Author : John Willard Milnor
Publisher :
ISBN 13 :
Total Pages : 127 pages
Book Rating : 4.:/5 (613 download)

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Book Synopsis Dynamics in One Complex Variable by : John Willard Milnor

Download or read book Dynamics in One Complex Variable written by John Willard Milnor and published by . This book was released on 1990 with total page 127 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Advances in Iterative Methods for Nonlinear Equations

Author : Sergio Amat
Publisher : Springer
ISBN 13 : 331939228X
Total Pages : 286 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis Advances in Iterative Methods for Nonlinear Equations by : Sergio Amat

Download or read book Advances in Iterative Methods for Nonlinear Equations written by Sergio Amat and published by Springer. This book was released on 2016-09-27 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on the approximation of nonlinear equations using iterative methods. Nine contributions are presented on the construction and analysis of these methods, the coverage encompassing convergence, efficiency, robustness, dynamics, and applications. Many problems are stated in the form of nonlinear equations, using mathematical modeling. In particular, a wide range of problems in Applied Mathematics and in Engineering can be solved by finding the solutions to these equations. The book reveals the importance of studying convergence aspects in iterative methods and shows that selection of the most efficient and robust iterative method for a given problem is crucial to guaranteeing a good approximation. A number of sample criteria for selecting the optimal method are presented, including those regarding the order of convergence, the computational cost, and the stability, including the dynamics. This book will appeal to researchers whose field of interest is related to nonlinear problems and equations, and their approximation.

Dynamics in Several Complex Variables

Author : John Erik Fornæss
Publisher : American Mathematical Soc.
ISBN 13 : 9780821889312
Total Pages : 74 pages
Book Rating : 4.8/5 (893 download)

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Book Synopsis Dynamics in Several Complex Variables by : John Erik Fornæss

Download or read book Dynamics in Several Complex Variables written by John Erik Fornæss and published by American Mathematical Soc.. This book was released on with total page 74 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is part of the CBMS lecture series, held in Albany, New York in June 1994 aimed to introduce the audience to the literature on complex dynamics in higher dimension. These notes provide an easy to read introduction into the field. This monograph then points readers towards technically more advanced literature.

New Trends in One-Dimensional Dynamics

Author : Maria José Pacifico
Publisher : Springer Nature
ISBN 13 : 3030168336
Total Pages : 333 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis New Trends in One-Dimensional Dynamics by : Maria José Pacifico

Download or read book New Trends in One-Dimensional Dynamics written by Maria José Pacifico and published by Springer Nature. This book was released on 2019-12-14 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents the proceedings of the meeting New Trends in One-Dimensional Dynamics, which celebrated the 70th birthday of Welington de Melo and was held at the IMPA, Rio de Janeiro, in November 2016. Highlighting the latest results in one-dimensional dynamics and its applications, the contributions gathered here also celebrate the highly successful meeting, which brought together experts in the field, including many of Welington de Melo’s co-authors and former doctoral students. Sadly, Welington de Melo passed away shortly after the conference, so that the present volume became more a tribute to him. His role in the development of mathematics was undoubtedly an important one, especially in the area of low-level dynamics, and his legacy includes, in addition to many articles with fundamental contributions, books that are required reading for all newcomers to the field.

Dynamics in Action

Author : Alicia Juarrero
Publisher : MIT Press
ISBN 13 : 9780262600477
Total Pages : 306 pages
Book Rating : 4.6/5 (4 download)

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Book Synopsis Dynamics in Action by : Alicia Juarrero

Download or read book Dynamics in Action written by Alicia Juarrero and published by MIT Press. This book was released on 2002-01-25 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: What is the difference between a wink and a blink? The answer is important not only to philosophers of mind, for significant moral and legal consequences rest on the distinction between voluntary and involuntary behavior. However, "action theory"—the branch of philosophy that has traditionally articulated the boundaries between action and non-action, and between voluntary and involuntary behavior—has been unable to account for the difference. Alicia Juarrero argues that a mistaken, 350-year-old model of cause and explanation—one that takes all causes to be of the push-pull, efficient cause sort, and all explanation to be prooflike—underlies contemporary theories of action. Juarrero then proposes a new framework for conceptualizing causes based on complex adaptive systems. Thinking of causes as dynamical constraints makes bottom-up and top-down causal relations, including those involving intentional causes, suddenly tractable. A different logic for explaining actions—as historical narrative, not inference—follows if one adopts this novel approach to long-standing questions of action and responsibility.

Essays in Mathematics and its Applications

Author : Panos M. Pardalos
Publisher : Springer Science & Business Media
ISBN 13 : 3642288219
Total Pages : 501 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Essays in Mathematics and its Applications by : Panos M. Pardalos

Download or read book Essays in Mathematics and its Applications written by Panos M. Pardalos and published by Springer Science & Business Media. This book was released on 2012-08-07 with total page 501 pages. Available in PDF, EPUB and Kindle. Book excerpt: The volume is dedicated to Stephen Smale on the occasion of his 80th birthday.Besides his startling 1960 result of the proof of the Poincar ́e conjecture for all dimensionsgreater than or equal to five, Smale’s ground breaking contributions invarious fields in Mathematics have marked the second part of the 20th century andbeyond. Stephen Smale has done pioneering work in differential topology, globalanalysis, dynamical systems, nonlinear functional analysis, numerical analysis, theoryof computation and machine learning as well as applications in the physical andbiological sciences and economics. In sum, Stephen Smale has manifestly brokenthe barriers among the different fields of mathematics and dispelled some remainingprejudices. He is indeed a universal mathematician. Smale has been honoredwith several prizes and honorary degrees including, among others, the Fields Medal(1966), The Veblen Prize (1966), the National Medal of Science (1996) and theWolfPrize (2006/2007).

Riemann Surfaces

Author : H. M. Farkas
Publisher : Springer Science & Business Media
ISBN 13 : 1468499300
Total Pages : 348 pages
Book Rating : 4.4/5 (684 download)

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Book Synopsis Riemann Surfaces by : H. M. Farkas

Download or read book Riemann Surfaces written by H. M. Farkas and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present volume is the culmination often years' work separately and joint ly. The idea of writing this book began with a set of notes for a course given by one of the authors in 1970-1971 at the Hebrew University. The notes were refined serveral times and used as the basic content of courses given sub sequently by each of the authors at the State University of New York at Stony Brook and the Hebrew University. In this book we present the theory of Riemann surfaces and its many dif ferent facets. We begin from the most elementary aspects and try to bring the reader up to the frontier of present-day research. We treat both open and closed surfaces in this book, but our main emphasis is on the compact case. In fact, Chapters III, V, VI, and VII deal exclusively with compact surfaces. Chapters I and II are preparatory, and Chapter IV deals with uniformization. All works on Riemann surfaces go back to the fundamental results of Rie mann, Jacobi, Abel, Weierstrass, etc. Our book is no exception. In addition to our debt to these mathematicians of a previous era, the present work has been influenced by many contemporary mathematicians.

Perturbation Theory

Author : Giuseppe Gaeta
Publisher : Springer Nature
ISBN 13 : 1071626213
Total Pages : 601 pages
Book Rating : 4.0/5 (716 download)

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Book Synopsis Perturbation Theory by : Giuseppe Gaeta

Download or read book Perturbation Theory written by Giuseppe Gaeta and published by Springer Nature. This book was released on 2022-12-16 with total page 601 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume in the Encyclopedia of Complexity and Systems Science, Second Edition, is devoted to the fundamentals of Perturbation Theory (PT) as well as key applications areas such as Classical and Quantum Mechanics, Celestial Mechanics, and Molecular Dynamics. Less traditional fields of application, such as Biological Evolution, are also discussed. Leading scientists in each area of the field provide a comprehensive picture of the landscape and the state of the art, with the specific goal of combining mathematical rigor, explicit computational methods, and relevance to concrete applications. New to this edition are chapters on Water Waves, Rogue Waves, Multiple Scales methods, legged locomotion, Condensed Matter among others, while all other contributions have been revised and updated. Coverage includes the theory of (Poincare’-Birkhoff) Normal Forms, aspects of PT in specific mathematical settings (Hamiltonian, KAM theory, Nekhoroshev theory, and symmetric systems), technical problems arising in PT with solutions, convergence of series expansions, diagrammatic methods, parametric resonance, systems with nilpotent real part, PT for non-smooth systems, and on PT for PDEs [write out this acronym partial differential equations]. Another group of papers is focused specifically on applications to Celestial Mechanics, Quantum Mechanics and the related semiclassical PT, Quantum Bifurcations, Molecular Dynamics, the so-called choreographies in the N-body problem, as well as Evolutionary Theory. Overall, this unique volume serves to demonstrate the wide utility of PT, while creating a foundation for innovations from a new generation of graduate students and professionals in Physics, Mathematics, Mechanics, Engineering and the Biological Sciences.

Multiplication Operators on the Bergman Space

Author : Kunyu Guo
Publisher : Springer
ISBN 13 : 366246845X
Total Pages : 322 pages
Book Rating : 4.6/5 (624 download)

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Book Synopsis Multiplication Operators on the Bergman Space by : Kunyu Guo

Download or read book Multiplication Operators on the Bergman Space written by Kunyu Guo and published by Springer. This book was released on 2015-06-23 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with various aspects of commutants and reducing subspaces of multiplication operators on the Bergman space, along with relevant von Neumann algebras generated by these operators, which have been the focus of considerable attention from the authors and other experts in recent years. The book reviews past developments and offers insights into cutting-edge developments in the study of multiplication operators. It also provides commentary and comparisons to stimulate research in this area.

Polynomial Root-finding and Polynomiography

Author : Bahman Kalantari
Publisher : World Scientific
ISBN 13 : 9812700595
Total Pages : 492 pages
Book Rating : 4.8/5 (127 download)

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Book Synopsis Polynomial Root-finding and Polynomiography by : Bahman Kalantari

Download or read book Polynomial Root-finding and Polynomiography written by Bahman Kalantari and published by World Scientific. This book was released on 2009 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers fascinating and modern perspectives into the theory and practice of the historical subject of polynomial root-finding, rejuvenating the field via polynomiography, a creative and novel computer visualization that renders spectacular images of a polynomial equation. Polynomiography will not only pave the way for new applications of polynomials in science and mathematics, but also in art and education. The book presents a thorough development of the basic family, arguably the most fundamental family of iteration functions, deriving many surprising and novel theoretical and practical applications such as: algorithms for approximation of roots of polynomials and analytic functions, polynomiography, bounds on zeros of polynomials, formulas for the approximation of Pi, and characterizations or visualizations associated with a homogeneous linear recurrence relation. These discoveries and a set of beautiful images that provide new visions, even of the well-known polynomials and recurrences, are the makeup of a very desirable book. This book is a must for mathematicians, scientists, advanced undergraduates and graduates, but is also for anyone with an appreciation for the connections between a fantastically creative art form and its ancient mathematical foundations.

Fractal Geometry and Stochastics V

Author : Christoph Bandt
Publisher : Birkhäuser
ISBN 13 : 3319186604
Total Pages : 340 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Fractal Geometry and Stochastics V by : Christoph Bandt

Download or read book Fractal Geometry and Stochastics V written by Christoph Bandt and published by Birkhäuser. This book was released on 2015-07-08 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book collects significant contributions from the fifth conference on Fractal Geometry and Stochastics held in Tabarz, Germany, in March 2014. The book is divided into five topical sections: geometric measure theory, self-similar fractals and recurrent structures, analysis and algebra on fractals, multifractal theory, and random constructions. Each part starts with a state-of-the-art survey followed by papers covering a specific aspect of the topic. The authors are leading world experts and present their topics comprehensibly and attractively. Both newcomers and specialists in the field will benefit from this book.

Analytic Endomorphisms of the Riemann Sphere

Author : Mariusz Urbański
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110769875
Total Pages : 440 pages
Book Rating : 4.1/5 (17 download)

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Book Synopsis Analytic Endomorphisms of the Riemann Sphere by : Mariusz Urbański

Download or read book Analytic Endomorphisms of the Riemann Sphere written by Mariusz Urbański and published by Walter de Gruyter GmbH & Co KG. This book was released on 2023-09-04 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Rotation Sets and Complex Dynamics

Author : Saeed Zakeri
Publisher : Springer
ISBN 13 : 3319788108
Total Pages : 124 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Rotation Sets and Complex Dynamics by : Saeed Zakeri

Download or read book Rotation Sets and Complex Dynamics written by Saeed Zakeri and published by Springer. This book was released on 2018-06-23 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph examines rotation sets under the multiplication by d (mod 1) map and their relation to degree d polynomial maps of the complex plane. These sets are higher-degree analogs of the corresponding sets under the angle-doubling map of the circle, which played a key role in Douady and Hubbard's work on the quadratic family and the Mandelbrot set. Presenting the first systematic study of rotation sets, treating both rational and irrational cases in a unified fashion, the text includes several new results on their structure, their gap dynamics, maximal and minimal sets, rigidity, and continuous dependence on parameters. This abstract material is supplemented by concrete examples which explain how rotation sets arise in the dynamical plane of complex polynomial maps and how suitable parameter spaces of such polynomials provide a complete catalog of all such sets of a given degree. As a main illustration, the link between rotation sets of degree 3 and one-dimensional families of cubic polynomials with a persistent indifferent fixed point is outlined. The monograph will benefit graduate students as well as researchers in the area of holomorphic dynamics and related fields.