Download or read book Holomorphic Dynamical Systems written by Nessim Sibony and published by Springer Science & Business Media. This book was released on 2010-07-31 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of holomorphic dynamical systems is a subject of increasing interest in mathematics, both for its challenging problems and for its connections with other branches of pure and applied mathematics. A holomorphic dynamical system is the datum of a complex variety and a holomorphic object (such as a self-map or a vector ?eld) acting on it. The study of a holomorphic dynamical system consists in describing the asymptotic behavior of the system, associating it with some invariant objects (easy to compute) which describe the dynamics and classify the possible holomorphic dynamical systems supported by a given manifold. The behavior of a holomorphic dynamical system is pretty much related to the geometry of the ambient manifold (for instance, - perbolic manifolds do no admit chaotic behavior, while projective manifolds have a variety of different chaotic pictures). The techniques used to tackle such pr- lems are of variouskinds: complexanalysis, methodsof real analysis, pluripotential theory, algebraic geometry, differential geometry, topology. To cover all the possible points of view of the subject in a unique occasion has become almost impossible, and the CIME session in Cetraro on Holomorphic Dynamical Systems was not an exception.

Download or read book The Shape of Inner Space written by Shing-Tung Yau and published by Il Saggiatore. This book was released on 2010-09-07 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: The leading mind behind the mathematics of string theory discusses how geometry explains the universe we see. Illustrations.

Download or read book Compactness and Contradiction written by Terence Tao and published by American Mathematical Soc.. This book was released on 2013-03-22 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: There are many bits and pieces of folklore in mathematics that are passed down from advisor to student, or from collaborator to collaborator, but which are too fuzzy and nonrigorous to be discussed in the formal literature. Traditionally, it was a matter

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 2012 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of complex dynamics, whose roots lie in 19th-century studies of the iteration of complex function conducted by Koenigs, Schoder, and others, flourished remarkably during the first half of the 20th century, when many of the central ideas and techniques of the subject developed. This book paints a robust picture of the field of complex dynamics between 1906 and 1942 through detailed discussions of the work of Fatou, Julia, Siegel, and several others.

Download or read book Proceedings Of The International Congress Of Mathematicians 2018 Icm 2018 In 4 Volumes written by Boyan Sirakov and published by World Scientific. This book was released on 2019-02-27 with total page 5393 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Proceedings of the ICM publishes the talks, by invited speakers, at the conference organized by the International Mathematical Union every 4 years. It covers several areas of Mathematics and it includes the Fields Medal and Nevanlinna, Gauss and Leelavati Prizes and the Chern Medal laudatios.

Download or read book Chaos Order and Patterns written by Roberto Artuso and published by . This book was released on 1992-04-01 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Mathematicians of the World Unite written by Guillermo Curbera and published by CRC Press. This book was released on 2009-02-23 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: This vividly illustrated history of the International Congress of Mathematicians- a meeting of mathematicians from around the world held roughly every four years- acts as a visual history of the 25 congresses held between 1897 and 2006, as well as a story of changes in the culture of mathematics over the past century. Because the congress is an int

Download or read book A History of Complex Dynamics written by Daniel S. Alexander and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 175 pages. Available in PDF, EPUB and Kindle. Book excerpt: The contemporary study of complex dynamics, which has flourished so much in recent years, is based largely upon work by G. Julia (1918) and P. Fatou (1919/20). The goal of this book is to analyze this work from an historical perspective and show in detail, how it grew out of a corpus regarding the iteration of complex analytic functions. This began with investigations by E. Schröder (1870/71) which he made, when he studied Newton's method. In the 1880's, Gabriel Koenigs fashioned this study into a rigorous body of work and, thereby, influenced a lot the subsequent development. But only, when Fatou and Julia applied set theory as well as Paul Montel's theory of normal families, it was possible to develop a global approach to the iteration of rational maps. This book shows, how this intriguing piece of modern mathematics became reality.

Download or read book The Edge of the Unknown written by Arthur Conan Doyle and published by FV Éditions. This book was released on 2017-01-16 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1916 Arthur Conan Doyle stated his belief in Spiritualism. "The Edge of the Unknown", first published in 1930, is a collection of articles covering various aspects of this subject.

Download or read book The Beauty of Fractals written by Heinz-Otto Peitgen and published by Springer Science & Business Media. This book was released on 1986-07 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: Now approaching its tenth year, this hugely successful book presents an unusual attempt to publicise the field of Complex Dynamics. The text was originally conceived as a supplemented catalogue to the exhibition "Frontiers of Chaos", seen in Europe and the United States, and describes the context and meaning of these fascinating images. A total of 184 illustrations - including 88 full-colour pictures of Julia sets - are suggestive of a coffee-table book. However, the invited contributions which round off the book lend the text the required formality. Benoit Mandelbrot gives a very personal account, in his idiosyncratic self-centred style, of his discovery of the fractals named after him and Adrien Douady explains the solved and unsolved problems relating to this amusingly complex set.

Download or read book Research Problems in Function Theory written by Walter K. Hayman and published by Springer Nature. This book was released on 2019-09-07 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1967 Walter K. Hayman published ‘Research Problems in Function Theory’, a list of 141 problems in seven areas of function theory. In the decades following, this list was extended to include two additional areas of complex analysis, updates on progress in solving existing problems, and over 520 research problems from mathematicians worldwide. It became known as ‘Hayman's List’. This Fiftieth Anniversary Edition contains the complete ‘Hayman's List’ for the first time in book form, along with 31 new problems by leading international mathematicians. This list has directed complex analysis research for the last half-century, and the new edition will help guide future research in the subject. The book contains up-to-date information on each problem, gathered from the international mathematics community, and where possible suggests directions for further investigation. Aimed at both early career and established researchers, this book provides the key problems and results needed to progress in the most important research questions in complex analysis, and documents the developments of the past 50 years.

Download or read book The Abel Prize 2013 2017 written by Helge Holden and published by Springer. This book was released on 2019-02-23 with total page 762 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents the winners of the Abel Prize in mathematics for the period 2013–17: Pierre Deligne (2013); Yakov G. Sinai (2014); John Nash Jr. and Louis Nirenberg (2015); Sir Andrew Wiles (2016); and Yves Meyer (2017). The profiles feature autobiographical information as well as a scholarly description of each mathematician’s work. In addition, each profile contains a Curriculum Vitae, a complete bibliography, and the full citation from the prize committee. The book also includes photos for the period 2003–2017 showing many of the additional activities connected with the Abel Prize. As an added feature, video interviews with the Laureates as well as videos from the prize ceremony are provided at an accompanying website (http://extras.springer.com/). This book follows on The Abel Prize: 2003-2007. The First Five Years (Springer, 2010) and The Abel Prize 2008-2012 (Springer 2014), which profile the work of the previous Abel Prize winners.

Download or read book Modern Peoplehood written by John Lie and published by Univ of California Press. This book was released on 2011-04 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: "[A] most impressive achievement by an extraordinarily intelligent, courageous, and—that goes without saying—'well-read' mind. The scope of this work is enormous: it provides no less than a comprehensive, historically grounded theory of 'modern peoplehood,' which is Lie’s felicitous umbrella term for everything that goes under the names 'race,' 'ethnicity,' and nationality.'" Christian Joppke, American Journal of Sociology "Lie's objective is to treat a series of large topics that he sees as related but that are usually treated separately: the social construction of identities, the origins and nature of modern nationalism, the explanation of genocide, and racism. These multiple themes are for him aspects of something he calls 'modern peoplehood.' His mode of demonstration is to review all the alternative explanations for each phenomenon, and to show why each successively is inadequate. His own theses are controversial but he makes a strong case for them. This book should renew debate." Immanuel Wallerstein, Yale University and author of The Decline of American Power: The U.S. in a Chaotic World

Download or read book Transcendental Dynamics and Complex Analysis written by Philip J. Rippon and published by Cambridge University Press. This book was released on 2008-06-26 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presenting papers by researchers in transcendental dynamics and complex analysis, this exciting new and modern book is written in honor of Noel Baker, who laid the foundations of transcendental complex dynamics. The papers describe the state of the art in this subject, with new results on completely invariant domains, wandering domains, the exponential parameter space, and normal families. The inclusion of comprehensive survey articles on dimensions of Julia sets, buried components of Julia sets, Baker domains, Fatou components of functions of small growth, and ergodic theory of transcendental meromorphic functions means this is essential reading for students and researchers in complex dynamics and complex analysis.

Download or read book Youth Its Education Regimen and Hygiene written by Granville Stanley Hall and published by Library of Alexandria. This book was released on 1907-01-01 with total page 682 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Thinking in Cases written by John Forrester and published by John Wiley & Sons. This book was released on 2016-11-02 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: What exactly is involved in using particular case histories to think systematically about social, psychological and historical processes? Can one move from a textured particularity, like that in Freud's famous cases, to a level of reliable generality? In this book, Forrester teases out the meanings of the psychoanalytic case, how to characterize it and account for it as a particular kind of writing. In so doing, he moves from psychoanalysis to the law and medicine, to philosophy and the constituents of science. Freud and Foucault jostle here with Thomas Kuhn, Ian Hacking and Robert Stoller, and Einstein and Freud's connection emerges as a case study of two icons in the general category of the Jewish Intellectual. While Forrester was particularly concerned with analysing the style of reasoning that was dominant in psychoanalysis and related disciplines, his path-breaking account of thinking in cases will be of great interest to scholars, students and professionals across a wide range of disciplines, from history, law and the social sciences to medicine, clinical practice and the therapies of the world.

Download or read book Fields Medallists Lectures written by Michael Atiyah and published by World Scientific. This book was released on 1997-10-13 with total page 644 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although the Fields Medal does not have the same public recognition as the Nobel Prizes, they share a similar intellectual standing. It is restricted to one field - that of mathematics - and an age limit of 40 has become an accepted tradition. Mathematics has in the main been interpreted as pure mathematics, and this is not so unreasonable since major contributions in some applied areas can be (and have been) recognized with Nobel Prizes. The restriction to 40 years is of marginal significance, since most mathematicians have made their mark long before this age.A list of Fields Medallists and their contributions provides a bird's eye view of mathematics over the past 60 years. It highlights the areas in which, at various times, greatest progress has been made. This volume does not pretend to be comprehensive, nor is it a historical document. On the other hand, it presents contributions from 22 Fields Medallists and so provides a highly interesting and varied picture.The contributions themselves represent the choice of the individual Medallists. In some cases the articles relate directly to the work for which the Fields Medals were awarded. In other cases new articles have been produced which relate to more current interests of the Medallists. This indicates that while Fields Medallists must be under 40 at the time of the award, their mathematical development goes well past this age. In fact the age limit of 40 was chosen so that young mathematicians would be encouraged in their future work.The Fields Medallists' Lectures is now available on CD-ROM. Sections can be accessed at the touch of a button, and similar topics grouped together using advanced keyword searches.