1.

Record Nr.

UNINA9910450101703321

Autore

Tattersall James J (James Joseph), <1941->

Titolo

Elementary number theory in nine chapters / / James J. Tattersall [[electronic resource]]

Pubbl/distr/stampa

Cambridge : , : Cambridge University Press, , 1999

ISBN

1-107-11407-1

0-511-06583-3

1-283-32944-1

9786613329448

1-139-13387-X

1-139-12993-7

1-139-14549-5

0-511-05952-3

0-511-75635-6

0-511-06796-8

Descrizione fisica

1 online resource (viii, 407 pages) : digital, PDF file(s)

Disciplina

512/.72

Soggetti

Number theory

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 and index.

Nota di contenuto

Cover; Title; Copyright; Dedication; Contents; Preface; 1 The intriguing natural numbers; 2 Divisibility; 3 Prime numbers; 4 Perfect and amicable numbers; 5 Modular arithmetic; 6 Congruences of higher degree; 7 Cryptology; 8 Representations; 9 Partitions; Tables; Answers to selected exercises; Bibliography; Index

Sommario/riassunto

This book is intended to serve as a one-semester introductory course in number theory. Throughout the book a historical perspective has been adopted and emphasis is given to some of the subject's applied aspects; in particular the field of cryptography is highlighted. At the heart of the book are the major number theoretic accomplishments of Euclid, Fermat, Gauss, Legendre, and Euler, and to fully illustrate the properties of numbers and concepts developed in the text, a wealth of exercises have been included. It is assumed that the reader will have



'pencil in hand' and ready access to a calculator or computer. For students new to number theory, whatever their background, this is a stimulating and entertaining introduction to the subject.

2.

Record Nr.

UNISA996466408403316

Autore

D'Angelo John P.

Titolo

Rational sphere maps / / John P. D'Angelo

Pubbl/distr/stampa

Cham, Switzerland : , : Springer, , [2021]

©2021

ISBN

3-030-75809-5

Descrizione fisica

1 online resource (244 pages)

Collana

Progress in Mathematics ; ; Volume 341

Disciplina

515.53

Soggetti

Spherical functions

Euclidean algorithm

Funcions esferoïdals

Algorismes

Llibres electrònics

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di contenuto

Intro -- Preface -- Contents -- 1 Complex Euclidean Space -- 1 Generalities -- 2 The Groups Aut(mathbbB1), SU(2), and SU(1,1) -- 3 Automorphisms of the Unit Ball -- 4 Hermitian Forms -- 5 Proper Mappings -- 6 Some Counting -- 7 A GPS for This Book -- 2 Examples and Properties of Rational Sphere Maps -- 1 Definition and Basic Results about Rational Sphere Maps -- 2 Sphere-Ranks and Target-Ranks -- 3 Ranks of Products -- 4 Juxtaposition -- 5 The Tensor Product Operation -- 6 The Restricted Tensor Product Operation -- 7 An Abundance of Rational Sphere Maps -- 8 Some Results in Low Codimension -- 9 A Result in Sufficiently High Codimension -- 10 Homotopy and Target-Rank -- 11 Remarks on Degree Bounds -- 12 Inverse Image of a Point -- 13 The General Rational Sphere Map -- 14 A Detailed Rational Example -- 15 An Example in Source Dimension 3 -- 3 Monomial Sphere Maps -- 1 Properties of Monomial Sphere Maps



-- 2 Some Remarkable Monomial Sphere Maps -- 3 More on These Remarkable Polynomials -- 4 Cyclic Groups and Monomial Sphere Maps -- 5 Circulant Matrices -- 6 The Pell Equation -- 7 Elaboration of the Method for Producing Sharp Polynomials -- 8 Additional Tricks -- 9 Maps with Source Dimension 2 and Target Dimension 4 -- 10 Target-Ranks for Monomial Sphere Maps -- 4 Monomial Sphere Maps and Linear Programming -- 1 Underdetermined Linear Systems -- 2 An Optimization Problem for Monomial Sphere Maps -- 3 Two Detailed Examples in Source Dimension 2 -- 4 Results of Coding and Consequences in Source Dimension 2 -- 5 Monomial Sphere Maps in Higher Dimension -- 6 Sparseness in Source Dimension 2 -- 7 Sparseness in Source Dimension at Least Three -- 8 The Optimal Polynomials in Degrees 9 and 11 -- 9 Coding -- 5 Groups Associated with Holomorphic Mappings -- 1 Five Groups -- 2 Examples of the Five Groups -- 3 Hermitian-Invariant Groups for Rational Sphere Maps.

4 Additional Examples -- 5 Behavior of Γf Under Various Constructions -- 6 Examples Involving the Symmetric Group -- 7 The Symmetric Group -- 8 Groups Arising from Rational Sphere Maps -- 9 Different Representations -- 10 Additional Results -- 11 A Criterion for Being a Polynomial -- 6 Elementary Complex and CR Geometry -- 1 Subvarieties of the Unit Ball -- 2 The Unbounded Realization of the Unit Sphere -- 3 Geometry of Real Hypersurfaces -- 4 CR Functions and Mappings -- 5 Strong Pseudoconvexity of the Unit Sphere -- 6 Comparison with the Real Case -- 7 Varieties Associated with Rational Sphere Maps -- 8 Examples of Xf -- 9 A Return to the Definition of Rational Sphere Map -- 7 Geometric Properties of Rational Sphere Maps -- 1 Volumes -- 2 A Geometric Result in One Dimension -- 3 An Integral Inequality -- 4 Volume Inequalities for Polynomial and Rational Sphere Maps -- 5 Comparison with a Real Variable Integral Inequality -- 8 List of Open Problems -- Appendix  Bibliography --  -- Index.



3.

Record Nr.

UNINA9910337730003321

Autore

Tremblay Arjun

Titolo

Diversity in Decline? : The Rise of the Political Right and the Fate of Multiculturalism / / by Arjun Tremblay

Pubbl/distr/stampa

Cham : , : Springer International Publishing : , : Imprint : Palgrave Macmillan, , 2019

ISBN

9783030022990

3030022994

Edizione

[1st ed. 2019.]

Descrizione fisica

1 online resource (XVIII, 271 p. 2 illus.)

Collana

Palgrave Politics of Identity and Citizenship Series, , 2947-6119

Disciplina

306.2

305.8

Soggetti

Political sociology

Human rights

Political planning

Political Sociology

Human Rights

Public Policy

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di contenuto

1: Introduction: Can Multiculturalism Survive the Rise of the Political Right? -- 2: The Multiculturalism Research Programme: Established and Emerging Concerns -- 3: Developing a Hypothesis of Multicultural Outcomes: Theory, Case Selection, Methodology and Clarifications -- 4. Canadian Multiculturalism during the Harper Governments (2006-2015): Diachronic Variance and the Importance of Electoral Outcomes -- 5. British Multiculturalism during the Cameron and May Majority Governments (2010-2017): Retreat, Survival and the Effects of Policy Design -- 6. American Multiculturalism during a Majority Republican Congress and a Unified Republican Government (1995-2007): Unprotected Policies and the Actions of Critical Veto Players -- 7. Conclusion: Scholarly Contributions and Potential Application to Theory-Building and Multicultural Policy Design .

Sommario/riassunto

In this book, Arjun Tremblay considers the future of multiculturalism, contextualised within an ideological and political shift to the right. Is



there any hope that multiculturalism will survive alongside the rise of the political right across democracies? How can policy makers continue to recognize and to accommodate minorities in an increasingly inhospitable ideological environment? Based on evidence from three cases studies, Tremblay develops a hypothesis of multicultural outcomes, arguing that while the threat to multiculturalism is real, there still is hope, and that not only is the fate of minority rights in liberal democracies far from sealed, but it may still be possible to further protect the rights of immigrant and other minority groups in years to come. In order to do this, proponents of diversity politics may need to reconceptualise multiculturalism and other minority rights along instrumental lines as a means to fulfil policy objectives above and beyond the recognition and accommodation of immigrant minorities. This will be an important read for scholars interested in minority rights, multiculturalism, diversity politics, comparative politics, institutionalism, right-wing and far-right studies, and public policy.