Download or read book The Struggle for Catalonia written by Raphael Minder and published by Oxford University Press. This book was released on 2017 with total page 383 pages. Available in PDF, EPUB and Kindle. Book excerpt: Analyses with rare impartiality what sets the Catalans apart from Spain, and how the separatist debate is playing out.
Download or read book The Problem of Catalan written by Yuri F. Bilu and published by Springer. This book was released on 2014-10-09 with total page 251 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1842 the Belgian mathematician Eugène Charles Catalan asked whether 8 and 9 are the only consecutive pure powers of non-zero integers. 160 years after, the question was answered affirmatively by the Swiss mathematician of Romanian origin Preda Mihăilescu. In other words, 32 – 23 = 1 is the only solution of the equation xp – yq = 1 in integers x, y, p, q with xy ≠ 0 and p, q ≥ 2. In this book we give a complete and (almost) self-contained exposition of Mihăilescu’s work, which must be understandable by a curious university student, not necessarily specializing in Number Theory. We assume a very modest background:a standard university course of algebra, including basic Galois theory, and working knowledge of basic algebraic number theory.
Download or read book The Problem of Catalan written by Yuri F. Bilu and published by . This book was released on 2014-10-31 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Rise of Catalan Independence written by Andrew Dowling and published by Routledge. This book was released on 2017-12-01 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: As recently as the mid-2000s, Catalonia was described and analysed by scholars as exhibiting a non-secessionist nationalism and was seen within Europe and beyond as a role model for successful devolution which had much to teach other parts of the world. The Spanish state seemed to be on a journey towards an authentic federal order and was generally admired. However, the new century has been marked by an ever-growing independence movement, with 47.8 per cent of Catalonia voting in favour of independence in September 2015. Pro-independence mobilization has produced a rupture in political relations with the rest of Spain leading to a sovereignty struggle with Madrid. This book explores how an accumulation of long-, medium- and short-term factors have produced the current situation and why the Spanish territorial model has been unable or possibly, unwilling, to respond. The Catalan question is not purely a Spanish problem: it has direct implications for the traditional nation-state model, in Europe and beyond.
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.
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.
Download or read book Fibonacci and Catalan Numbers written by Ralph Grimaldi and published by John Wiley & Sons. This book was released on 2012-02-21 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discover the properties and real-world applications of the Fibonacci and the Catalan numbers With clear explanations and easy-to-follow examples, Fibonacci and Catalan Numbers: An Introduction offers a fascinating overview of these topics that is accessible to a broad range of readers. Beginning with a historical development of each topic, the book guides readers through the essential properties of the Fibonacci numbers, offering many introductory-level examples. The author explains the relationship of the Fibonacci numbers to compositions and palindromes, tilings, graph theory, and the Lucas numbers. The book proceeds to explore the Catalan numbers, with the author drawing from their history to provide a solid foundation of the underlying properties. The relationship of the Catalan numbers to various concepts is then presented in examples dealing with partial orders, total orders, topological sorting, graph theory, rooted-ordered binary trees, pattern avoidance, and the Narayana numbers. The book features various aids and insights that allow readers to develop a complete understanding of the presented topics, including: Real-world examples that demonstrate the application of the Fibonacci and the Catalan numbers to such fields as sports, botany, chemistry, physics, and computer science More than 300 exercises that enable readers to explore many of the presented examples in greater depth Illustrations that clarify and simplify the concepts Fibonacci and Catalan Numbers is an excellent book for courses on discrete mathematics, combinatorics, and number theory, especially at the undergraduate level. Undergraduates will find the book to be an excellent source for independent study, as well as a source of topics for research. Further, a great deal of the material can also be used for enrichment in high school courses.
Download or read book Homage to Catalonia written by George Orwell and published by E-Kitap Projesi & Cheapest Books. This book was released on 2023-11-27 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: Homage to Catalonia is George Orwell's personal account of his experiences and observations fighting for the POUM militia of the Republican army during the Spanish Civil War. The war was one of the defining events of his political outlook and a significant part of what led him to write in 1946, "Every line of serious work that I have written since 1936 has been written, directly or indirectly, against totalitarianism and for Democratic Socialism, as I understand it." The first edition was published in the United Kingdom in 1938. The book was not published in the United States until February 1952, when it appeared with an influential preface by Lionel Trilling. The only translation published in Orwell's lifetime was into Italian, in December 1948. A French translation by Yvonne Davet-with whom Orwell corresponded, commenting on her translation and providing explanatory notes-in 1938-39, was not published until five years after Orwell's death. Book Summary: Orwell served as a private, a corporal (cabo) and-when the informal command structure of the militia gave way to a conventional hierarchy in May 1937-as a lieutenant, on a provisional basis, in Catalonia and Aragon from December 1936 until June 1937. In June 1937, the leftist political party with whose militia he served (the POUM, the Workers' Party of Marxist Unification, an anti-Stalinist communist party) was declared an illegal organisation, and Orwell was consequently forced to flee. Having arrived in Barcelona on 26 December 1936, Orwell told John McNair, the Independent Labour Party's (ILP) representative there, that he had "come to Spain to join the militia to fight against Fascism." He also told McNair that "he would like to write about the situation and endeavour to stir working class opinion in Britain and France." McNair took him to the POUM barracks, where Orwell immediately enlisted. "Orwell did not know that two months before he arrived in Spain, the [Soviet law enforcement agency] NKVD's resident in Spain, Aleksandr Orlov, had assured NKVD Headquarters, 'the Trotskyist organisation POUM can easily be liquidated'-by those, the Communists, whom Orwell took to be allies in the fight against Franco."
Download or read book Fibonacci and Lucas Numbers with Applications written by Thomas Koshy and published by John Wiley & Sons. This book was released on 2011-10-24 with total page 676 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first comprehensive survey of mathematics' most fascinatingnumber sequences Fibonacci and Lucas numbers have intrigued amateur and professionalmathematicians for centuries. This volume represents the firstattempt to compile a definitive history and authoritative analysisof these famous integer sequences, complete with a wealth ofexciting applications, enlightening examples, and fun exercisesthat offer numerous opportunities for exploration andexperimentation. The author has assembled a myriad of fascinating properties of bothFibonacci and Lucas numbers-as developed by a wide range ofsources-and catalogued their applications in a multitude of widelyvaried disciplines such as art, stock market investing,engineering, and neurophysiology. Most of the engaging anddelightful material here is easily accessible to college and evenhigh school students, though advanced material is included tochallenge more sophisticated Fibonacci enthusiasts. A historicalsurvey of the development of Fibonacci and Lucas numbers,biographical sketches of intriguing personalities involved indeveloping the subject, and illustrative examples round out thisthorough and amusing survey. Most chapters conclude with numericand theoretical exercises that do not rely on long and tediousproofs of theorems. Highlights include: * Balanced blend of theory and real-world applications * Excellent reference material for student reports andprojects * User-friendly, informal, and entertaining writing style * Historical interjections and short biographies that add a richerperspective to the topic * Reference sections providing important symbols, problemsolutions, and fundamental properties from the theory of numbersand matrices Fibonacci and Lucas Numbers with Applications providesmathematicians with a wealth of reference material in oneconvenient volume and presents an in-depth and entertainingresource for enthusiasts at every level and from any background.
Download or read book Catalan Numbers written by Richard P. Stanley and published by Cambridge University Press. This book was released on 2015-03-30 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: Catalan numbers are probably the most ubiquitous sequence of numbers in mathematics. This book gives for the first time a comprehensive collection of their properties and applications to combinatorics, algebra, analysis, number theory, probability theory, geometry, topology, and other areas. Following an introduction to the basic properties of Catalan numbers, the book presents 214 different kinds of objects counted by them in the form of exercises with solutions. The reader can try solving the exercises or simply browse through them. Some 68 additional exercises with prescribed difficulty levels present various properties of Catalan numbers and related numbers, such as Fuss-Catalan numbers, Motzkin numbers, Schröder numbers, Narayana numbers, super Catalan numbers, q-Catalan numbers and (q,t)-Catalan numbers. The book ends with a history of Catalan numbers by Igor Pak and a glossary of key terms. Whether your interest in mathematics is recreation or research, you will find plenty of fascinating and stimulating facts here.
Download or read book What s Up with Catalonia written by Liz Castro and published by . This book was released on 2013 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: "35 experts explain the causes which impel them to the separation through essays on Catalan history, economics, politics, language, and culture"--Cover.
Download or read book Catalan Independence and the Crisis of Sovereignty written by Óscar García Agustín and published by Springer Nature. This book was released on 2020-12-14 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores the conflict between the Catalan project to become independent and the Spanish state’s opposition to any attempt of secessionism. The volume addresses some of the key political and academic issues of contemporary European societies: nationalism, separatism and sovereignty. The banned referendum in Catalonia in October 2017 unveiled the existence of multiple crises, from territorial to economic and political. Indeed, the Catalan issue is about the crisis of sovereignty: who holds legitimacy to make decisions, and who is in power legally and politically? The book is structured according to three themes: sovereignty and its people, where the realignment to independence, populism and the definition of the demos are discussed; collective identities and actions, to account for the shaping of ‘us’, the importance of collective memory and the cross-alliances forged during the referendum; and internationalization, focusing on Europeanisation, international media and comparative constitutional perspectives.
Download or read book The Problem of a Catalan Mediterranean Empire 1229 1327 written by J. N. Hillgarth and published by . This book was released on 1975 with total page 54 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Revolt of the Catalans written by J. H. Elliott and published by Cambridge University Press. This book was released on 1984-06-07 with total page 652 pages. Available in PDF, EPUB and Kindle. Book excerpt: The revolution of Catalonia in 1640 was a signal event in seventeenth-century Europe. Its causes and antecedents - essential for an understanding of the revolution itelf - form the basis of Professor Elliott's study of the Spanish monarchy at this time. They throw remarkable light on the whole question of the decline of Spain in the seventeenth century from its position of pre-eminence in Europe. From the fierce suppression of Catalan bandits by their Castilian overlords during the second decade of the century, Professor Elliott traces the gradual deterioration of relations between the principality of Catalonia and the government in Madrid. He shows how Olivares, the favourite and chief minister of Philip IV, attempted to use Catalan resources to fight Spain's foreign wars, and how the growing tension led ultimately to a revolution, which he suggests played a crucial part in Spain's decline. Professor Elliott's story is almost entirely based on previously unknown documents found in the Spanish national and local archives. These sources enabled him to write the first full-scale treatment of Olivares and his policies. While exciting as a story in its own right, it also stands as a case-history of the perennial struggle between regional liberties and the claims of central governments.
Download or read book Scots and Catalans written by J. H. Elliott and published by Yale University Press. This book was released on 2018-08-21 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: A landmark account that reveals the long history behind the current Catalan and Scottish independence movements A distinguished historian of Spain and Europe provides an enlightening account of the development of nationalist and separatist movements in contemporary Catalonia and Scotland. This first sustained comparative study uncovers the similarities and the contrasts between the Scottish and Catalan experiences across a five-hundred-year period, beginning with the royal marriages that brought about union with their more powerful neighbors, England and Castile respectively, and following the story through the centuries from the end of the Middle Ages until today’s dramatic events. J. H. Elliott examines the political, economic, social, cultural, and emotional factors that divide Scots and Catalans from the larger nations to which their fortunes were joined. He offers new insights into the highly topical subject of the character and development of European nationalism, the nature of separatism, and the sense of grievance underlying the secessionist aspirations that led to the Scottish referendum of 2014, the illegal Catalan referendum of October 2017, and the resulting proclamation of an independent Catalan republic.
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.
Download or read book The Catalan Problem 1931 1934 written by Elaine Joan Hoeing and published by . This book was released on 1963 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
