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Cours De Geometrie Hyperbolique Et De Surfaces De Riemann
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Book Synopsis Frontiers in Number Theory, Physics, and Geometry II by : Pierre E. Cartier
Download or read book Frontiers in Number Theory, Physics, and Geometry II written by Pierre E. Cartier and published by Springer Science & Business Media. This book was released on 2007-07-18 with total page 806 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ten years after a 1989 meeting of number theorists and physicists at the Centre de Physique des Houches, a second event focused on the broader interface of number theory, geometry, and physics. This book is the first of two volumes resulting from that meeting. Broken into three parts, it covers Conformal Field Theories, Discrete Groups, and Renormalization, offering extended versions of the lecture courses and shorter texts on special topics.
Download or read book Mathematical Reviews written by and published by . This book was released on 1968 with total page 874 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Géométrie au XXe siècle, 1930-2000 by : Joseph Kouneiher
Download or read book Géométrie au XXe siècle, 1930-2000 written by Joseph Kouneiher and published by Editions Hermann. This book was released on 2005 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Spectral Geometry by : Pierre H. Berard
Download or read book Spectral Geometry written by Pierre H. Berard and published by Springer. This book was released on 2006-11-14 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Introduction à la géométrie hyperbolique et aux surfaces de Riemann by : Ricardo Sá Earp
Download or read book Introduction à la géométrie hyperbolique et aux surfaces de Riemann written by Ricardo Sá Earp and published by . This book was released on 2009 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: Avec ce livre, les auteurs ont voulu présenter une introduction élémentaire à des notions qui servent depuis longtemps de base à des recherches en mathématiques (géométrie différentielle et géométrie algébrique) et en physique théorique. On peut noter que le plan hyperbolique (introduit par Lobatchevski en 1826) d'une part, les surfaces de Riemann (1851) d'autre part, sont les premiers exemples d'objets géométriques qui ne se présentent pas comme des figures de l'espace usuel, mais au contraire se substituent à lui, devenant ainsi le lieu d'une nouvelle géométrie. Le lien entre ces deux notions fut découvert par Poincaré en 1881. Les objets d'étude proposés dans ce livre sont d'abord les géodésiques et les horocycles du plan hyperbolique, ses isométries, puis les courbes du plan hyperbolique et leur courbure. Un chapitre est ensuite consacré aux espaces hyperbolique de dimension 3 et plus. Dans la partie sur les surfaces de Riemann, les auteurs proposent notamment l'étude des revêtements ramifiés, puis celle de la classification des surfaces par le genre et par la nature du revêtement universel (c'est là que se fait le lien avec le plan hyperbolique) ; la classification plus fine des structures conformes est abordée dans le cas du tore, ce qui donne l'occasion de présenter la théorie des fonctions elliptiques, et de l'anneau, où on déduit de la classification le grand théorème de Picard. Plusieurs applications à la théorie des surfaces minimales de l'espace euclidien sont données en complément. Cette introduction à la géométrie hyperbolique et aux surfaces de Riemann est la première qui mette ces deux sujets à la portée d'étudiants de M1 (quatrième année) de mathématiques, sans exiger d'eux plus qu'une connaissance de la géométrie euclidienne et une familiarité minimale avec les fonctions analytiques. L'ouvrage comporte 117 exercices, avec des indications.
Download or read book Travaux mathématiques written by and published by . This book was released on 1996 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis From Riemann to Differential Geometry and Relativity by : Lizhen Ji
Download or read book From Riemann to Differential Geometry and Relativity written by Lizhen Ji and published by Springer. This book was released on 2017-10-03 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores the work of Bernhard Riemann and its impact on mathematics, philosophy and physics. It features contributions from a range of fields, historical expositions, and selected research articles that were motivated by Riemann’s ideas and demonstrate their timelessness. The editors are convinced of the tremendous value of going into Riemann’s work in depth, investigating his original ideas, integrating them into a broader perspective, and establishing ties with modern science and philosophy. Accordingly, the contributors to this volume are mathematicians, physicists, philosophers and historians of science. The book offers a unique resource for students and researchers in the fields of mathematics, physics and philosophy, historians of science, and more generally to a wide range of readers interested in the history of ideas.
Download or read book Dichronauts written by Greg Egan and published by Start Publishing LLC. This book was released on 2017-07-11 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: Seth is a surveyor, along with his friend Theo, a leech-like creature running through his skull who tells Seth what lies to his left and right. Theo, in turn, relies on Seth for mobility, and for ordinary vision looking forwards and backwards. Like everyone else in their world, they are symbionts, depending on each other to survive. In the universe containing Seth's world, light cannot travel in all directions: there is a “dark cone” to the north and south. Seth can only face to the east (or the west, if he tips his head backwards). If he starts to turn to the north or south, his body stretches out across the landscape, and to rotate as far as north-north-east is every bit as impossible as accelerating to the speed of light. Every living thing in Seth’s world is in a state of perpetual migration as they follow the sun’s shifting orbit and the narrow habitable zone it creates. Cities are being constantly disassembled at one edge and rebuilt at the other, with surveyors mapping safe routes ahead. But when Seth and Theo join an expedition to the edge of the habitable zone, they discover a terrifying threat: a fissure in the surface of the world, so deep and wide that no one can perceive its limits. As the habitable zone continues to move, the migration will soon be blocked by this unbridgeable void, and the expedition has only one option to save its city from annihilation: descend into the unknown.
Book Synopsis Biographisch-literarisches Handwörterbuch zur Geschichte der exacten Wissenschaften ... by : Johann Christian Poggendorff
Download or read book Biographisch-literarisches Handwörterbuch zur Geschichte der exacten Wissenschaften ... written by Johann Christian Poggendorff and published by . This book was released on 1970 with total page 652 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis An Eassay on the Psychology of Invention in the Mathematical Field by : Jacques Hadamard
Download or read book An Eassay on the Psychology of Invention in the Mathematical Field written by Jacques Hadamard and published by Franklin Classics Trade Press. This book was released on 2018-11-11 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Book Synopsis The Radon Transform by : Sigurdur Helgason
Download or read book The Radon Transform written by Sigurdur Helgason and published by Springer Science & Business Media. This book was released on 1999-08-01 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Radon transform is an important topic in integral geometry which deals with the problem of expressing a function on a manifold in terms of its integrals over certain submanifolds. Solutions to such problems have a wide range of applications, namely to partial differential equations, group representations, X-ray technology, nuclear magnetic resonance scanning, and tomography. This second edition, significantly expanded and updated, presents new material taking into account some of the progress made in the field since 1980. Aimed at beginning graduate students, this monograph will be useful in the classroom or as a resource for self-study. Readers will find here an accessible introduction to Radon transform theory, an elegant topic in integral geometry.
Book Synopsis Lectures on Representations of Surface Groups by : François Labourie
Download or read book Lectures on Representations of Surface Groups written by François Labourie and published by . This book was released on 2013 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject of these notes is the character variety of representations of a surface group in a Lie group. The author emphasizes the various points of view (combinatorial, differential, and algebraic) and is interested in the description of its smooth points, symplectic structure, volume and connected components. He also shows how a three manifold bounded by the surface leaves a trace in this character variety. These notes were originally designed for students with only elementary knowledge of differential geometry and topology. In the first chapters, the author does not focus on the details of the differential geometric constructions and refers to classical textbooks, while in the more advanced chapters proofs occasionally are provided only for special cases where they convey the flavor of the general arguments. These notes might also be used by researchers entering this fast expanding field as motivation for further studies. The concluding paragraph of every chapter provides suggestions for further research.
Book Synopsis Around the Zilber-Pink Conjecture by : Philipp Habegger
Download or read book Around the Zilber-Pink Conjecture written by Philipp Habegger and published by . This book was released on 2017 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Following Faltings and Vojta's work proving the Mordell-Lang conjecture for abelian varieties and Raynaud's work proving the Manin-Mumford conjecture, many new diophantine questions appeared, often described as problems of unlikely intersections. The arithmetic of moduli spaces of abelian varieties and, more generally, Shimura varieties has been parallel-developed around the central André-Oort conjecture. These two themes can be placed in a common frame--the Zilber-Pink conjecture. This volume is an introduction to these problems and to the various techniques used: geometry, height theory, reductive groups and Hodge theory, Shimura varieties, and model theory via the notion of o-minimal structure."--Publisher.
Book Synopsis Jacques Hadamard by : Vladimir Gilelevič Mazʹâ
Download or read book Jacques Hadamard written by Vladimir Gilelevič Mazʹâ and published by American Mathematical Soc.. This book was released on 1999 with total page 604 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a fascinating story of the long life and great accomplishments of Jacques Hadamard (1865-1963), who was once called 'the living legend of mathematics'. As one of the last universal mathematicians, Hadamard's contributions to mathematics are landmarks in various fields. His life is linked with world history of the 20th century in a dramatic way. This work provides an inspiring view of the development of various branches of mathematics during the 19th and 20th centuries.Part I of the book portrays Hadamard's family, childhood and student years, scientific triumphs, and his personal life and trials during the first two world wars. The story is told of his involvement in the Dreyfus affair and his subsequent fight for justice and human rights. Also recounted are Hadamard's worldwide travels, his famous seminar, his passion for botany, his home orchestra, where he played the violin with Einstein, and his interest in the psychology of mathematical creativity. Hadamard's life is described in a readable and inviting way.The authors humorously weave throughout the text his jokes and the myths about him. They also movingly recount the tragic side of his life. Stories about his relatives and friends, and old letters and documents create an authentic and colorful picture. The book contains over 300 photographs and illustrations. Part II of the book includes a lucid overview of Hadamard's enormous work, spanning over six decades. The authors do an excellent job of connecting his results to current concerns.While the book is accessible to beginners, it also provides rich information of interest to experts. Vladimir Mazya and Tatyana Shaposhnikova were the 2003 laureates of the Insitut de France's Prix Alfred Verdaguer. One or more prizes are awarded each year, based on suggestions from the Academie francaise, the Academie de sciences, and the Academie de beaux-arts, for the most remarkable work in the arts, literature, and the sciences. In 2003, the award for excellence was granted in recognition of Mazya and Shaposhnikova's book, ""Jacques Hadamard, A Universal Mathematician"", which is both an historical book about a great citizen and a scientific book about a great mathematician.
Book Synopsis French books in print, anglais by : Electre
Download or read book French books in print, anglais written by Electre and published by . This book was released on 2000 with total page 1844 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Random Polynomials by : A. T. Bharucha-Reid
Download or read book Random Polynomials written by A. T. Bharucha-Reid and published by Academic Press. This book was released on 2014-05-10 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: Probability and Mathematical Statistics: A Series of Monographs and Textbooks: Random Polynomials focuses on a comprehensive treatment of random algebraic, orthogonal, and trigonometric polynomials. The publication first offers information on the basic definitions and properties of random algebraic polynomials and random matrices. Discussions focus on Newton's formula for random algebraic polynomials, random characteristic polynomials, measurability of the zeros of a random algebraic polynomial, and random power series and random algebraic polynomials. The text then elaborates on the number and expected number of real zeros of random algebraic polynomials; number and expected number of real zeros of other random polynomials; and variance of the number of real zeros of random algebraic polynomials. Topics include the expected number of real zeros of random orthogonal polynomials and the number and expected number of real zeros of trigonometric polynomials. The book takes a look at convergence and limit theorems for random polynomials and distribution of the zeros of random algebraic polynomials, including limit theorems for random algebraic polynomials and random companion matrices and distribution of the zeros of random algebraic polynomials. The publication is a dependable reference for probabilists, statisticians, physicists, engineers, and economists.
Book Synopsis Matrix Information Geometry by : Frank Nielsen
Download or read book Matrix Information Geometry written by Frank Nielsen and published by Springer Science & Business Media. This book was released on 2012-08-07 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents advances in matrix and tensor data processing in the domain of signal, image and information processing. The theoretical mathematical approaches are discusses in the context of potential applications in sensor and cognitive systems engineering. The topics and application include Information Geometry, Differential Geometry of structured Matrix, Positive Definite Matrix, Covariance Matrix, Sensors (Electromagnetic Fields, Acoustic sensors) and Applications in Cognitive systems, in particular Data Mining.
