Arithmetic differential operators over the p-adic integers / / Claire C. Ralph, Santiago R. Simanca [[electronic resource]]

• Record Nr.: UNINA9910452494703321
• Autore: Ralph Claire C.
• Pubbl/distr/stampa: Cambridge : , : Cambridge University Press, , 2012
• ISBN: 1-139-88774-2; 1-139-08466-6; 1-107-08994-8; 1-107-10182-4; 1-107-09621-9; 1-107-10420-3; 1-107-09312-0
• Descrizione fisica: 1 online resource (vi, 139 pages) : digital, PDF file(s)
• Collana: London Mathematical Society lecture note series ; ; 396
• Disciplina: 515.7242
• Soggetti: Differential operators; Arithmetic functions; p-adic numbers
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Title from publisher's bibliographic system (viewed on 05 Oct 2015).
• Nota di bibliografia: Includes bibliographical references (p. 135-137) and index.
• Nota di contenuto: The p-adic numbers Qp -- Some classical analysis on Qp -- The Artin-Hasse exponential function -- The completion of the algebraic closure of Qp -- Zeta functions -- Analytic functions on Zp -- Arithmetic differential operators on Zp -- A general view of arithmetic differential operators -- Analyticity of arithmetic differential operators -- Characteristic functions of discs in Zp: p-adic coordinates -- Characteristic functions of discs in Zp: harmonic coordinates -- Some differences between (Se(B-operators over Zp and Zur p.
• Sommario/riassunto: The study of arithmetic differential operators is a novel and promising area of mathematics. This complete introduction to the subject starts with the basics: a discussion of p-adic numbers and some of the classical differential analysis on the field of p-adic numbers leading to the definition of arithmetic differential operators on this field. Buium's theory of arithmetic jet spaces is then developed succinctly in order to ; define arithmetic operators in general. Features of the book include a comparison of the behaviour of these operators over the p-adic integers and their behaviour over the unramified completion, and a discussion of the relationship between characteristic functions of p-adic discs and arithmetic differential operators that disappears as soon as a single root of unity is adjoined to the p-adic integers. This book is essential reading for researchers and graduate students who want a first introduction to arithmetic differential operators over the p-adic integers.

Attention deficit democracy [[electronic resource] ] : the paradox of civic engagement / / Ben Berger

• Record Nr.: UNINA9910456512103321
• Autore: Berger Ben <1968->
• Pubbl/distr/stampa: Princeton, : Princeton University Press, c2011
• ISBN: 1-283-19513-5; 9786613195135; 1-4008-4031-7
• Edizione: [Course Book]
• Descrizione fisica: 1 online resource (216 p.)
• Disciplina: 323/.0420973
• Soggetti: Political participation - United States; Democracy; Electronic books.
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: Preface -- Introduction -- The rules of engagement -- Political engagement as intrinsic good: Arendt and company -- Political engagement as instrumental good: Tocqueville, attention deficit, and energy -- Is political engagement better than sex? -- Conclusion: Tocqueville vs. the full monty.
• Sommario/riassunto: Handwringing about political apathy is as old as democracy itself. As early as 425 BC, the playwright Aristophanes ridiculed his fellow Athenians for gossiping in the market instead of voting. In more recent ; decades, calls for greater civic engagement as a democratic cure-all have met with widespread agreement. But how realistic--or helpful--is it to expect citizens to devote more attention and energy to politics? In Attention Deficit Democracy, Ben Berger provides a surprising new perspective on the problem of civic engagement, challenging idealists who aspire to revolutionize democracies and their citizens, but also taking issue with cynics who think that citizens cannot--and need not--do better. "Civic engagement" has become an unwieldy and confusing catchall, Berger argues. We should talk instead of political, social, and moral engagement, figuring out which kinds of engagement make democracy work better, and how we might promote them. Focusing on political engagement and taking Alexis de Tocqueville and Hannah Arendt as his guides, Berger identifies ways to achieve the political engagement we want and need without resorting to coercive measures such as compulsory national service or mandatory voting. By providing a realistic account of the value of political engagement and practical strategies for improving it, while avoiding proposals we can never hope to achieve, Attention Deficit Democracy makes a persuasive case for a public philosophy that much of the public can actually endorse.