Download or read book Uniformizing Dessins and BelyiMaps via Circle Packing written by Philip L. Bowers and published by American Mathematical Soc.. This book was released on 2004 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction Dessins d'enfants Discrete Dessins via circle packing Uniformizing Dessins A menagerie of Dessins d'enfants Computational issues Additional constructions Non-equilateral triangulations The discrete option Appendix: Implementation Bibliography.

Download or read book Complex Dynamics written by Robert L. Devaney and published by American Mathematical Soc.. This book was released on 2006 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: Chaotic behavior of (even the simplest) iterations of polynomial maps of the complex plane was known for almost one hundred years due to the pioneering work of Farou, Julia, and their contemporaries. However, it was only twenty-five years ago that the first computer generated images illustrating properties of iterations of quadratic maps appeared. These images of the so-called Mandelbrot and Julia sets immediately resulted in a strong resurgence of interest in complex dynamics. The present volume, based on the talks at the conference commemorating the twenty-fifth anniversary of the appearance of Mandelbrot sets, provides a panorama of current research in this truly fascinating area of mathematics.

Download or read book Davenport Zannier Polynomials and Dessins d Enfants written by Nikolai M. Adrianov and published by American Mathematical Soc.. This book was released on 2020-06-29 with total page 187 pages. Available in PDF, EPUB and Kindle. Book excerpt: The French expression “dessins d'enfants” means children's drawings. This term was coined by the great French mathematician Alexandre Grothendieck in order to denominate a method of pictorial representation of some highly interesting classes of polynomials and rational functions. The polynomials studied in this book take their origin in number theory. The authors show how, by drawing simple pictures, one can prove some long-standing conjectures and formulate new ones. The theory presented here touches upon many different fields of mathematics. The major part of the book is quite elementary and is easily accessible to an undergraduate student. The less elementary parts, such as Galois theory or group representations and their characters, would need a more profound knowledge of mathematics. The reader may either take the basic facts of these theories for granted or use our book as a motivation and a first approach to these subjects.

Download or read book Combinations of Complex Dynamical Systems written by Kevin M. Pilgrim and published by Springer Science & Business Media. This book was released on 2003 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The Journal of Analysis written by and published by . This book was released on 2006 with total page 600 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Pacific Journal of Mathematics written by and published by . This book was released on 2002-05 with total page 1058 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book McGraw Hill Yearbook of Science and Technology 2010 written by McGraw-Hill and published by McGraw Hill Professional. This book was released on 2009-12-22 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: More than 150 articles explore the latest advances in science and technology For more than 45 years, this annual publication has made information on the latest trends and developments in science and technology accessible to non-specialists through concise, well-illustrated articles. Readers will find 150 articles from 200+ leaders in their respective fields covering disciplines from Astronomy to Zoology. The Yearbook will be of interest to students, writers, researchers, professionals, and general readers.

Download or read book Elementare und analytische Zahlentheorie Tagungsband written by Stephan Baier and published by Franz Steiner Verlag Wiesbaden GmbH. This book was released on 2006 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: Der vorliegende Band gibt Beitrage wieder, die auf Vortragen der Mainzer Tagung uber Elementare und Analytische Zahlentheorie (24.-28. Mai 2004) basieren, und daruber hinaus einige grosse Ubersichtsartikel zur Abschatzung von Fourier-Koeffizienten von Siegel'schen Spitzenformen, zu neueren Entwicklungen in der Theorie der Gitterpunkte, zum Goldbach-Problem und zur ABC-Vermutung fur Polynome (und "dessins d'enfants"). Die aktuellen Forschungsbeitrage befassen sich mit den verschiedensten Themenbereichen aus der analytischen Zahlentheorie, z.B. zum Waring-Problem, zu Verteilungsfragen fur arithmetische Funktionen, zu Kreisteilungspolynomen, und zur Anwendung von Abschatzungen von Exponentialsummen. Der Band soll auf einigen Teilgebieten der analytischen Zahlentheorie den gegenwartigen Stand der Forschung aufzeigen, und er kann Forschern in der Zahlentheorie Anregungen fur weitere wissenschaftliche Arbeit geben.

Download or read book Proceedings of the 36th Annual ACM Symposium on the Theory of Computing written by and published by . This book was released on 2004 with total page 668 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Abstracts of Papers Presented to the American Mathematical Society written by American Mathematical Society and published by . This book was released on 1996 with total page 734 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book American Book Publishing Record written by and published by . This book was released on 2003 with total page 928 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Mathematical Reviews written by and published by . This book was released on 2005 with total page 1884 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Introduction to Circle Packing written by Kenneth Stephenson and published by Cambridge University Press. This book was released on 2005-04-18 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publisher Description

Download or read book Explorations in Complex Analysis written by Michael A. Brilleslyper and published by American Mathematical Soc.. This book was released on 2012-12-31 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: Research topics in the book include complex dynamics, minimal surfaces, fluid flows, harmonic, conformal, and polygonal mappings, and discrete complex analysis via circle packing. The nature of this book is different from many mathematics texts: the focus is on student-driven and technology-enhanced investigation. Interlaced in the reading for each chapter are examples, exercises, explorations, and projects, nearly all linked explicitly with computer applets for visualization and hands-on manipulation.

Download or read book Introduction to Compact Riemann Surfaces and Dessins D Enfants written by Ernesto Girondo and published by Cambridge University Press. This book was released on 2012 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: An elementary account of the theory of compact Riemann surfaces and an introduction to the Belyi-Grothendieck theory of dessins d'enfants.

Download or read book The Grothendieck Theory of Dessins D Enfants written by Leila Schneps and published by Cambridge University Press. This book was released on 1994-07-28 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dessins d'Enfants are combinatorial objects, namely drawings with vertices and edges on topological surfaces. Their interest lies in their relation with the set of algebraic curves defined over the closure of the rationals, and the corresponding action of the absolute Galois group on them. The study of this group via such realted combinatorial methods as its action on the Dessins and on certain fundamental groups of moduli spaces was initiated by Alexander Grothendieck in his unpublished Esquisse d'un Programme, and developed by many of the mathematicians who have contributed to this volume. The various articles here unite all of the basics of the subject as well as the most recent advances. Researchers in number theory, algebraic geometry or related areas of group theory will find much of interest in this book.

Download or read book Graphs on Surfaces and Their Applications written by Sergei K. Lando and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 463 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graphs drawn on two-dimensional surfaces have always attracted researchers by their beauty and by the variety of difficult questions to which they give rise. The theory of such embedded graphs, which long seemed rather isolated, has witnessed the appearance of entirely unexpected new applications in recent decades, ranging from Galois theory to quantum gravity models, and has become a kind of a focus of a vast field of research. The book provides an accessible introduction to this new domain, including such topics as coverings of Riemann surfaces, the Galois group action on embedded graphs (Grothendieck's theory of "dessins d'enfants"), the matrix integral method, moduli spaces of curves, the topology of meromorphic functions, and combinatorial aspects of Vassiliev's knot invariants and, in an appendix by Don Zagier, the use of finite group representation theory. The presentation is concrete throughout, with numerous figures, examples (including computer calculations) and exercises, and should appeal to both graduate students and researchers.