Dynamics In One Complex Variable Am 160

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Dynamics in One Complex Variable

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 by : John Milnor

Download or read book Dynamics in One Complex Variable 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. (AM-160), 3rd Edition

Author : John Milnor
Publisher :
ISBN 13 :
Total Pages : 320 pages
Book Rating : 4.:/5 (11 download)

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Book Synopsis Dynamics in One Complex Variable. (AM-160), 3rd Edition by : John Milnor

Download or read book Dynamics in One Complex Variable. (AM-160), 3rd Edition written by John Milnor and published by . This book was released on 2011 with total page 320 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 Milnor
Publisher : Vieweg+teubner Verlag
ISBN 13 :
Total Pages : 278 pages
Book Rating : 4.3/5 (91 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 Vieweg+teubner Verlag. This book was released on 2000-06-28 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text 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. The subject is large and rapidly growing. These notes are intended to introduce the reader to 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.

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:

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:

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 of One Complex Variable on Ĉ

Author : Hanse J. Chung
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (134 download)

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Book Synopsis Dynamics of One Complex Variable on Ĉ by : Hanse J. Chung

Download or read book Dynamics of One Complex Variable on Ĉ written by Hanse J. Chung and published by . This book was released on 1991 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Dynamics in Several Complex Variables

Author : John Erik Fornæss
Publisher : American Mathematical Soc.
ISBN 13 : 0821803174
Total Pages : 71 pages
Book Rating : 4.8/5 (218 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 1996 with total page 71 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 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. Some of the lectures are updated versions of earlier lectures given jointly with Nessim Sibony in Montreal 1993. the authro's intent in this book is to give an expansion of the Montreal lectures, basing complex dynamics in higher dimension systematically on pluripotential theory.

Dynamics in One Non-Archimedean Variable

Author : Robert L. Benedetto
Publisher : American Mathematical Soc.
ISBN 13 : 147044688X
Total Pages : 463 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Dynamics in One Non-Archimedean Variable by : Robert L. Benedetto

Download or read book Dynamics in One Non-Archimedean Variable written by Robert L. Benedetto and published by American Mathematical Soc.. This book was released on 2019-03-05 with total page 463 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of complex dynamics in one variable, initiated by Fatou and Julia in the early twentieth century, concerns the iteration of a rational function acting on the Riemann sphere. Building on foundational investigations of p-adic dynamics in the late twentieth century, dynamics in one non-archimedean variable is the analogous theory over non-archimedean fields rather than over the complex numbers. It is also an essential component of the number-theoretic study of arithmetic dynamics. This textbook presents the fundamentals of non-archimedean dynamics, including a unified exposition of Rivera-Letelier's classification theorem, as well as results on wandering domains, repelling periodic points, and equilibrium measures. The Berkovich projective line, which is the appropriate setting for the associated Fatou and Julia sets, is developed from the ground up, as are relevant results in non-archimedean analysis. The presentation is accessible to graduate students with only first-year courses in algebra and analysis under their belts, although some previous exposure to non-archimedean fields, such as the p-adic numbers, is recommended. The book should also be a useful reference for more advanced students and researchers in arithmetic and non-archimedean dynamics.

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.

More Explorations in Complex Functions

Author : Richard Beals
Publisher : Springer Nature
ISBN 13 : 3031282884
Total Pages : 410 pages
Book Rating : 4.0/5 (312 download)

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Book Synopsis More Explorations in Complex Functions by : Richard Beals

Download or read book More Explorations in Complex Functions written by Richard Beals and published by Springer Nature. This book was released on 2023-07-01 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: More Explorations in Complex Functions is something of a sequel to GTM 287, Explorations in Complex Functions. Both texts introduce a variety of topics, from core material in the mainstream of complex analysis to tools that are widely used in other areas of mathematics and applications, but there is minimal overlap between the two books. The intended readership is the same, namely graduate students and researchers in complex analysis, independent readers, seminar attendees, or instructors for a second course in complex analysis. Instructors will appreciate the many options for constructing a second course that builds on a standard first course in complex analysis. Exercises complement the results throughout. There is more material in this present text than one could expect to cover in a year’s course in complex analysis. A mapping of dependence relations among chapters enables instructors and independent readers a choice of pathway to reading the text. Chapters 2, 4, 5, 7, and 8 contain the function theory background for some stochastic equations of current interest, such as SLE. The text begins with two introductory chapters to be used as a resource. Chapters 3 and 4 are stand-alone introductions to complex dynamics and to univalent function theory, including deBrange’s theorem, respectively. Chapters 5—7 may be treated as a unit that leads from harmonic functions to covering surfaces to the uniformization theorem and Fuchsian groups. Chapter 8 is a stand-alone treatment of quasiconformal mapping that paves the way for Chapter 9, an introduction to Teichmüller theory. The final chapters, 10–14, are largely stand-alone introductions to topics of both theoretical and applied interest: the Bergman kernel, theta functions and Jacobi inversion, Padé approximants and continued fractions, the Riemann—Hilbert problem and integral equations, and Darboux’s method for computing asymptotics.

Complex Analysis and Geometry

Author : Filippo Bracci
Publisher : Springer
ISBN 13 : 443155744X
Total Pages : 370 pages
Book Rating : 4.4/5 (315 download)

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Book Synopsis Complex Analysis and Geometry by : Filippo Bracci

Download or read book Complex Analysis and Geometry written by Filippo Bracci and published by Springer. This book was released on 2015-08-05 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume includes 28 chapters by authors who are leading researchers of the world describing many of the up-to-date aspects in the field of several complex variables (SCV). These contributions are based upon their presentations at the 10th Korean Conference on Several Complex Variables (KSCV10), held as a satellite conference to the International Congress of Mathematicians (ICM) 2014 in Seoul, Korea. SCV has been the term for multidimensional complex analysis, one of the central research areas in mathematics. Studies over time have revealed a variety of rich, intriguing, new knowledge in complex analysis and geometry of analytic spaces and holomorphic functions which were "hidden" in the case of complex dimension one. These new theories have significant intersections with algebraic geometry, differential geometry, partial differential equations, dynamics, functional analysis and operator theory, and sheaves and cohomology, as well as the traditional analysis of holomorphic functions in all dimensions. This book is suitable for a broad audience of mathematicians at and above the beginning graduate-student level. Many chapters pose open-ended problems for further research, and one in particular is devoted to problems for future investigations.

Early Days in Complex Dynamics

Author : Daniel S. Alexander
Publisher : American Mathematical Soc.
ISBN 13 : 0821883240
Total Pages : 474 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Early Days in Complex Dynamics by : Daniel S. Alexander

Download or read book Early Days in Complex Dynamics written by Daniel S. Alexander and published by American Mathematical Soc.. This book was released on with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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).

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.