02950nam 22004695 450 991025427340332120220329235045.03-319-56172-310.1007/978-3-319-56172-1(CKB)3710000001404672(DE-He213)978-3-319-56172-1(MiAaPQ)EBC4876555(PPN)20299371X(EXLCZ)99371000000140467220170612d2017 u| 0engurnn#008mamaatxtrdacontentcrdamediacrrdacarrierRamanujan's theta functions /by Shaun Cooper1st ed. 2017.Cham :Springer International Publishing :Imprint: Springer,2017.1 online resource (XVIII, 687 p. 1 illus.)3-319-56171-5 Includes bibliographical references and indexes.Preface -- 0. Sum to Product Identities -- 1. Elliptic Functions -- 2. Transformations -- 3. Theta Functions -- 4. Levels 1, 2, 3, and 4: Jacobi's Inversion Theorem and Ramanujan's Alternative Theories -- 5. Level 5: The Rogers-Ramanujan Continued Fraction -- 6. Level 6: Ramanujan's Cubic Continued Fraction -- 7. Level 7 -- 8. Level 8: The Ramanujan-Gollnitz-Gordon Continued Fraction -- 9. Level 9 -- 10. Level 10: Ramanujan's Function k -- 11. Levels 11 and 23 -- 12. Level 12 -- 13. Hypergeometric Modular Transformations -- 14. Ramanujan's Series for 1/pi -- References.Theta functions were studied extensively by Ramanujan. This book provides a systematic development of Ramanujan’s results and extends them to a general theory. The author’s treatment of the subject is comprehensive, providing a detailed study of theta functions and modular forms for levels up to 12. Aimed at advanced undergraduates, graduate students, and researchers, the organization, user-friendly presentation, and rich source of examples, lends this book to serve as a useful reference, a pedagogical tool, and a stimulus for further research. Topics, especially those discussed in the second half of the book, have been the subject of much recent research; many of which are appearing in book form for the first time. Further results are summarized in the numerous exercises at the end of each chapter.Number theoryGeometry, AlgebraicNumber Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/M25001Algebraic Geometryhttps://scigraph.springernature.com/ontologies/product-market-codes/M11019Number theory.Geometry, Algebraic.Number Theory.Algebraic Geometry.512.7Cooper Shaunauthttp://id.loc.gov/vocabulary/relators/aut767406BOOK9910254273403321Ramanujan's Theta Functions1562320UNINA03677nam 22005892 450 991100897140332120151002020706.01-282-98816-697866129881651-84615-722-610.1515/9781846157226(CKB)2560000000050932(EBL)661924(OCoLC)701053913(SSID)ssj0000468873(PQKBManifestationID)12173945(PQKBTitleCode)TC0000468873(PQKBWorkID)10507660(PQKB)10339667(UkCbUP)CR9781846157226(MiAaPQ)EBC661924(DE-B1597)676905(DE-B1597)9781846157226(EXLCZ)99256000000005093220130118d2009|||| uy| 0engur|||||||||||txtrdacontentcrdamediacrrdacarrierEritrea a dream deferred /Gaim KibreabSuffolk :Boydell & Brewer,2009.1 online resource (xxvi, 420 pages) digital, PDF file(s)Eastern Africa seriesTitle from publisher's bibliographic system (viewed on 02 Oct 2015).1-84701-008-3 Includes bibliographical references and index.The Broken Promises, Demand for Change & Violation of Human Rights -- Associational Life in Independent Eritrea -- Towards an Explanation -- The Demise of the Private Sector -- PFDJ's Dominance of the Economy & the Consequences -- Freedom of Association, Political Stability & Institutions -- Shattered Promises: In Lieu of a Conclusion.Eritrean independence under the Eritrean People's Liberation Front (now the People's Front for Democracy and Justice) became an international cause celebre during the 1980s. Eritrea was the first African nation to gain independence in the post-colonial period and appeared to be opening a new and progressive path in African politics. But the promise of the revolution was soon betrayed by the outbreak of war with Ethiopia, the PFDJ's increasingly repressive domestic policies, its mismanagement of the country's economy, and its hostile relations with its neighbours. The PFDJ government dismantled existing formal and informal institutions, crippled the private sector, banned private newspapers, civil and political society organisations, expelled international NGOs and aid agencies when over two-thirds of the population were dependent on food aid, detained without trial journalists, thousands of dissidents, and former leaders of the liberation struggle, and turned national service from an instrument of nation building and national integration into an instrument of open-ended forced labour. In this well-researched first account of post-independence Eritrea, Gaim Kibreab gives a detailed and critical analysis of how things went woefully wrong and how the former 'liberators' turned into oppressors with no respect for the rule of law, human rights and religious freedom. GAIM KIBREAB is Professor of Research & Director of Refugee Studies, Department of Social & Policy Studies, London South Bank University. Published in association with the Nordiska Afrikainstitutet.Eastern African studies (London, England)Human rightsEritreaEritreaPolitics and government1993-Human rights963.5072LB 75541BSZrvkKibreab Gaim660935UkCbUPUkCbUPBOOK9911008971403321Eritrea1352731UNINA