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Catalans Conjecture
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Book Synopsis Catalan's Conjecture by : Paulo Ribenboim
Download or read book Catalan's Conjecture written by Paulo Ribenboim and published by Boston ; Toronto : Academic Press. This book was released on 1994 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text provides a historical study of the efforts of mathematicians to solve Catalan's problem. It covers divisibility conditions and analytical methods.
Book Synopsis Catalan's Conjecture by : René Schoof
Download or read book Catalan's Conjecture written by René Schoof and published by Springer Science & Business Media. This book was released on 2010-07-08 with total page 125 pages. Available in PDF, EPUB and Kindle. Book excerpt: Eugène Charles Catalan made his famous conjecture – that 8 and 9 are the only two consecutive perfect powers of natural numbers – in 1844 in a letter to the editor of Crelle’s mathematical journal. One hundred and fifty-eight years later, Preda Mihailescu proved it. Catalan’s Conjecture presents this spectacular result in a way that is accessible to the advanced undergraduate. The author dissects both Mihailescu’s proof and the earlier work it made use of, taking great care to select streamlined and transparent versions of the arguments and to keep the text self-contained. Only in the proof of Thaine’s theorem is a little class field theory used; it is hoped that this application will motivate the interested reader to study the theory further. Beautifully clear and concise, this book will appeal not only to specialists in number theory but to anyone interested in seeing the application of the ideas of algebraic number theory to a famous mathematical problem.
Book Synopsis The Splendor and Opulence of the Past by : Paul Freedman
Download or read book The Splendor and Opulence of the Past written by Paul Freedman and published by Cornell University Press. This book was released on 2023-11-15 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Splendor and Opulence of the Past traces the career of Jaume Caresmar (1717–1791), a church historian and a key figure of the Catalan Enlightenment who transcribed tens of thousands of parchments to preserve and glorify Catalonia's medieval past in the face of its diminishing autonomy. As Paul Freedman shows, Caresmar's books, essays, and transcriptions—some only recently discovered—provide fresh insights into the Middle Ages as remembered in modern Catalonia and illustrate how a nation's past glories and humiliations can inform contemporary politics and culture. From the ninth to the sixteenth centuries, Catalonia was a thriving, independent set of principalities within what would become modern Spain. In the wake of the dismantling of its autonomy by the eighteenth-century Spanish state, Catalan scholars looked to the region's medieval independence and wealth as a means of maintaining a distinct Catalan identity and resisting Castilian hegemony. Through their writings and archival investigations, Caresmar and the canons at Santa Maria de Bellpuig de les Avellanes, where Caresmar was abbot, laid the foundations for not only the scholarly exploration of the Middle Ages but also the development of Catalan national sentiment. Although the eighteenth century is often regarded as a low point for the Catalan language and culture, The Splendor and Opulence of the Past emphasizes the importance of this period's antiquarians to Catalan projects of modernization and economic progress and links their historiography of the Middle Ages to struggles over Catalonia's relationship to the Spanish state over two centuries.
Download or read book Catalonia Reborn written by Chris Bambery and published by Luath Press Ltd. This book was released on 2020-04-24 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: 2017 saw Catalonia come under the world's spotlight as it again fought for independence and the preservation and protection of its unique Catalan culture. Answering the questions and complications behind the fight for Catalonian Independence, Catalonia Reborn is a detailed guide to the region's political, historical and cultural issues. For the layman as well as the expert, it takes the reader through the rich history of Catalonia – its language, culture and political background – to the present day, covering defining eras of the region from Franco's dictatorship to the 2017 independence referendum and elections.
Book Synopsis Mathematical Research Today and Tomorrow by : Carles Casacuberta
Download or read book Mathematical Research Today and Tomorrow written by Carles Casacuberta and published by Springer. This book was released on 2006-11-15 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Symposium on the Current State and Prospects of Mathematics was held in Barcelona from June 13 to June 18, 1991. Seven invited Fields medalists gavetalks on the development of their respective research fields. The contents of all lectures were collected in the volume, together witha transcription of a round table discussion held during the Symposium. All papers are expository. Some parts include precise technical statements of recent results, but the greater part consists of narrative text addressed to a very broad mathematical public. CONTENTS: R. Thom: Leaving Mathematics for Philosophy.- S. Novikov: Role of Integrable Models in the Development of Mathematics.- S.-T. Yau: The Current State and Prospects of Geometry and Nonlinear Differential Equations.- A. Connes: Noncommutative Geometry.- S. Smale: Theory of Computation.- V. Jones: Knots in Mathematics and Physics.- G. Faltings: Recent Progress in Diophantine Geometry.
Book Synopsis Impressions of Greece by : Thomas Wyse
Download or read book Impressions of Greece written by Thomas Wyse and published by . This book was released on 1871 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Impressions of Greece. With an Introduction by ... Miss Wyse, and Letters from Greece to Friends at Home by A. P. Stanley by : Thomas WYSE (Right Hon. Sir.)
Download or read book Impressions of Greece. With an Introduction by ... Miss Wyse, and Letters from Greece to Friends at Home by A. P. Stanley written by Thomas WYSE (Right Hon. Sir.) and published by . This book was released on 1871 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Impressions of Greece by : Thomas Wyse (Rt. Hon. Sir, K.C.B.)
Download or read book Impressions of Greece written by Thomas Wyse (Rt. Hon. Sir, K.C.B.) and published by . This book was released on 1871 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Impressions of Greece. With an intr. by (W.M.) Wyse, and letters from Greece by A.P. Stanley by : sir Thomas Wyse
Download or read book Impressions of Greece. With an intr. by (W.M.) Wyse, and letters from Greece by A.P. Stanley written by sir Thomas Wyse and published by . This book was released on 1871 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Constructing Catalan Identity by : Michael A. Vargas
Download or read book Constructing Catalan Identity written by Michael A. Vargas and published by Springer. This book was released on 2018-04-23 with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a book about how Catalans use their past, real and imagined, in the construction of their present and future. Michael A. Vargas inventories the significant people, signal events, and familiar icons that constitute the Catalan collective memory, from Wilfred the Hairy and Sant Jordi to the mountain monastery of Montserrat, red peasant caps, and human towers in town squares. He then considers how that inventory is employed to posit a brilliant political heritage at the forefront of modern European democracy—and for some, to build a powerful independence movement. As the future of Catalonia remains fraught, this book offers a lively and engaging exploration of how we draw upon history to confront contemporary challenges.
Book Synopsis The Bible and Jews in Medieval Spain by : Norman Roth
Download or read book The Bible and Jews in Medieval Spain written by Norman Roth and published by Routledge. This book was released on 2021-03-30 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Bible and Jews in Medieval Spain examines the grammatical, exegetical, philosophical and mystical interpretations of the Bible that took place in Spain during the medieval period. The Bible was the foundation of Jewish culture in medieval Spain. Following the scientific analysis of Hebrew grammar which emerged in al-Andalus in the ninth and tenth centuries, biblical exegesis broke free of homiletic interpretation and explored the text on grammatical and contextual terms. While some of the earliest commentary was in Arabic, scholars began using Hebrew more regularly during this period. The first complete biblical commentaries in Hebrew were written by Abraham Ibn ‘Ezra, and this set the standard for the generations that followed. This book analyses the approach and unique contributions of these commentaries, moving on to those of later Christian Spain, including the Qimhi family, Nahmanides and his followers and the esoteric-mystical tradition. Major topics in the commentaries are compared and contrasted. Thus, a unified picture of the whole fabric of Hebrew commentary in medieval Spain emerges. In addition, the book describes the many Spanish Jewish biblical manuscripts that have remained and details the history of printed editions and Spanish translations (for Jews and Christians) by medieval Spanish Jews. This book will appeal to scholars and students of medieval Spain, as well as those interested in the history of religion and cultural history.
Book Synopsis The Catalan Nation and Its People by : Josep Carner-Ribalta
Download or read book The Catalan Nation and Its People written by Josep Carner-Ribalta and published by . This book was released on 1995 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Bulletin of Mathematical Association of India by :
Download or read book Bulletin of Mathematical Association of India written by and published by . This book was released on 1976 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Making of Catalan Linguistic Identity in Medieval and Early Modern Times by : Vicente Lledó-Guillem
Download or read book The Making of Catalan Linguistic Identity in Medieval and Early Modern Times written by Vicente Lledó-Guillem and published by Springer. This book was released on 2018-02-12 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: The historical relationship between the Catalan and Occitan languages had a definitive impact on the linguistic identity of the powerful Crown of Aragon and the emergent Spanish Empire. Drawing upon a wealth of historical documents, linguistic treatises and literary texts, this book offers fresh insights into the political and cultural forces that shaped national identities in the Iberian Peninsula and, consequently, neighboring areas of the Mediterranean during the Middle Ages and the Early Modern Period. The innovative textual approach taken in these pages exposes the multifaceted ways in which the boundaries between the region’s most prestigious languages were contested, and demonstrates how linguistic identities were linked to ongoing struggles for political power. As the analysis reveals, the ideological construction of Occitan would play a crucial role in the construction of a unified Catalan, and Catalan would, in turn, give rise to a fervent debate around ‘Spanish’ language that has endured through the present day. This book will appeal to students and scholars of historical linguistics, sociolinguistics, Hispanic linguistics, Catalan language and linguistics, anthropological linguistics, Early Modern literature and culture, and the history of the Mediterranean.
Book Synopsis The $q,t$-Catalan Numbers and the Space of Diagonal Harmonics by : James Haglund
Download or read book The $q,t$-Catalan Numbers and the Space of Diagonal Harmonics written by James Haglund and published by American Mathematical Soc.. This book was released on 2008 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work contains detailed descriptions of developments in the combinatorics of the space of diagonal harmonics, a topic at the forefront of current research in algebraic combinatorics. These developments have led in turn to some surprising discoveries in the combinatorics of Macdonald polynomials.
Book Synopsis Group Representations: Cohomology, Group Actions and Topology by : Alejandro Adem
Download or read book Group Representations: Cohomology, Group Actions and Topology written by Alejandro Adem and published by American Mathematical Soc.. This book was released on 1998 with total page 549 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume combines contributions in topology and representation theory that reflect the increasingly vigorous interactions between these areas. Topics such as group theory, homotopy theory, cohomology of groups, and modular representations are covered. All papers have been carefully refereed and offer lasting value.
Book Synopsis Cohomological Methods in Homotopy Theory by : Jaume Aguade
Download or read book Cohomological Methods in Homotopy Theory written by Jaume Aguade and published by Birkhäuser. This book was released on 2012-12-06 with total page 413 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains a collection of articles summarizing the state of knowledge in a large portion of modern homotopy theory. A call for articles was made on the occasion of an emphasis semester organized by the Centre de Recerca Matemtica in Bellaterra (Barcelona) in 1998. The main topics treated in the book include abstract features of stable and unstable homotopy, homotopical localizations, p-compact groups, H-spaces, classifying spaces for proper actions, cohomology of discrete groups, K-theory and other generalized cohomology theories, configuration spaces, and Lusternik-Schnirelmann category. The book is addressed to all mathematicians interested in homotopy theory and in geometric aspects of group theory. New research directions in topology are highlighted. Moreover, this informative and educational book serves as a welcome reference for many new results and recent methods.
