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1. |
Record Nr. |
UNINA9910492138303321 |
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Autore |
Koepf Wolfram |
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Titolo |
Computer algebra : an algorithm-oriented introduction / / Wolfram Koepf |
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Pubbl/distr/stampa |
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Cham, Switzerland : , : Springer, , [2021] |
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©2021 |
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ISBN |
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Descrizione fisica |
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1 online resource (394 pages) |
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Collana |
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Springer Undergraduate Texts in Mathematics and Technology |
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Disciplina |
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Soggetti |
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Algebra - Data processing |
Computer science - Mathematics |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di contenuto |
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Intro -- Preface -- Contents -- Chapter 1 Introduction to Computer Algebra -- 1.1 Capabilities of Computer Algebra Systems -- 1.2 Additional Remarks -- 1.3 Exercises -- Chapter 2 Programming in Computer Algebra Systems -- 2.1 Internal Representation of Expressions -- 2.2 Pattern Matching -- 2.3 Control Structures -- 2.4 Recursion and Iteration -- 2.5 Remember Programming -- 2.6 Divide-and-Conquer Programming -- 2.7 Programming through Pattern Matching -- 2.8 Additional Remarks -- 2.9 Exercises -- Chapter 3 Number Systems and Integer Arithmetic -- 3.1 Number Systems -- 3.2 Integer Arithmetic: Addition and Multiplication -- 3.3 Integer Arithmetic: Division with Remainder -- 3.4 The Extended Euclidean Algorithm -- 3.5 Unique Factorization -- 3.6 Rational Arithmetic -- 3.7 Additional Remarks -- 3.8 Exercises -- Chapter 4 Modular Arithmetic -- 4.1 Residue Class Rings -- 4.2 Modulare Square Roots -- 4.3 Chinese Remainder Theorem -- 4.4 Fermat's Little Theorem -- 4.5 Modular Logarithms -- 4.6 Pseudoprimes -- 4.7 Additional Remarks -- 4.8 Exercises -- Chapter 5 Coding Theory and Cryptography -- 5.1 Basic Concepts of Coding Theory -- 5.2 Prefix Codes -- 5.3 Check Digit Systems -- 5.4 Error Correcting Codes -- 5.5 Asymmetric Ciphers -- 5.6 Additional Remarks -- 5.7 Exercises -- Chapter 6 Polynomial Arithmetic -- 6.1 Polynomial Rings -- 6.2 Multiplication: The Karatsuba Algorithm -- 6.3 Fast Multiplication with FFT -- 6.4 Division with |
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Remainder -- 6.5 Polynomial Interpolation -- 6.6 The Extended Euclidean Algorithm -- 6.7 Unique Factorization -- 6.8 Squarefree Factorization -- 6.9 Rational Functions -- 6.10 Additional Remarks -- 6.11 Exercises -- Chapter 7 Algebraic Numbers -- 7.1 Polynomial Quotient Rings -- 7.2 Chinese Remainder Theorem -- 7.3 Algebraic Numbers -- 7.4 Finite Fields -- 7.5 Resultants -- 7.6 Polynomial Systems of Equations. |
7.7 Additional Remarks -- 7.8 Exercises -- Chapter 8 Factorization in Polynomial Rings -- 8.1 Preliminary Considerations -- 8.2 Efficient Factorization in Zp[x] -- 8.3 Squarefree Factorization of Polynomials over Finite Fields -- 8.4 Efficient Factorization in Q[x] -- 8.5 Hensel Lifting -- 8.6 Multivariate Factorization -- 8.7 Additional Remarks -- 8.8 Exercises -- Chapter 9 Simplification and Normal Forms -- 9.1 Normal Forms and Canonical Forms -- 9.2 Normal Forms and Canonical Forms for Polynomials -- 9.3 Normal Forms for Rational Functions -- 9.4 Normal Forms for Trigonometric Polynomials -- 9.5 Additional Remarks -- 9.6 Exercises -- Chapter 10 Power Series -- 10.1 Formal Power Series -- 10.2 Taylor Polynomials -- 10.3 Computation of Formal Power Series -- 10.3.1 Holonomic Differential Equations -- 10.3.2 Holonomic Recurrence Equations -- 10.3.3 Hypergeometric Functions -- 10.3.4 Efficient Computation of Taylor Polynomials of Holonomic Functions -- 10.4 Algebraic Functions -- 10.5 Implicit Functions -- 10.6 Additional Remarks -- 10.7 Exercises -- Chapter 11 Algorithmic Summation -- 11.1 Definite Summation -- 11.2 Difference Calculus -- 11.3 Indefinite Summation -- 11.4 Indefinite Summation of Hypergeometric Terms -- 11.5 Definite Summation of Hypergeometric Terms -- 11.6 Additional Remarks -- 11.7 Exercises -- Chapter 12 Algorithmic Integration -- 12.1 The Bernoulli Algorithm for Rational Functions -- 12.2 Algebraic Prerequisites -- 12.3 Rational Part -- 12.4 Logarithmic Case -- 12.5 Additional Remarks -- 12.6 Exercises -- References -- List of Symbols -- Mathematica List of Keywords -- Index. |
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2. |
Record Nr. |
UNINA9910457485203321 |
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Autore |
Rosenberger Sieglinde |
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Titolo |
Politics, religion and gender : framing and regulating the veil / / edited by Sieglinde Rosenberger and Birgit Sauer |
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Pubbl/distr/stampa |
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2012 |
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London : , : Routledge, , 2012 |
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ISBN |
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9781136589317 |
1136589317 |
9781136589324 |
1136589325 |
9780203181058 |
0203181050 |
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Edizione |
[1 ed.] |
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Descrizione fisica |
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1 online resource (257 p.) |
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Collana |
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Routledge studies in religion and politics |
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Classificazione |
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POL000000POL011000LAW119000 |
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Altri autori (Persone) |
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RosenbergerSieglinde <1957-> |
SauerBirgit |
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Disciplina |
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261.7 |
305.6/97576 |
305.697576 |
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Soggetti |
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Clothing and dress - Law and legislation - Europe |
Muslim women - Clothing - Government policy - Europe |
Muslim women - Clothing - Political aspects - Europe |
Religion and politics - Europe |
Veils - Political aspects - Europe |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references (p. [217]-232) and index. |
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Nota di contenuto |
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Front Cover; Politics, Religion and Gender; Copyright Page; Contents; List of figures and tables; List of contributors; Acknowledgements; List of abbreviations; Framing and regulating the veil: an introduction: Sieglinde Rosenberger and Birgit Sauer; Part I: Frames and framing; 1. Veiled debates: gender and gender equality in European national narratives: Rikke Andreassen and Doutje Lettinga; 2. Thinking through secularism: debates on the Muslim veil in Europe: Eirini Avramopoulou, Gül Çorbacıoğlu and Maria Eleonora Sanna |
3. Negotiating belonging: or how a differentiated citizenship is |
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legitimized in European headscarf debates: Nora Gresch, Petra Rostock and Sevgi Kılıç4. Discursive Europeanization? Negotiating Europe in headscarf debates: İlker Ataç, Sieglinde Rosenberger and Birgit Sauer; Part II: Regulations and actors; 5. Legal regulations: responses to the Muslim headscarf in Europe: Sabine Berghahn; 6. Regulating religious symbols in public schools: the legal status of the Islamic headscarf in Bulgaria: Kristen Ghodsee |
7. The limits of populism: accommodative headscarf policies in Austria, Denmark, and the Netherlands: Leila Hadj-Abdou,Sieglinde Rosenberger, Sawitri Saharso and Birte Siim8. In the name of laïcité and neutrality: prohibitive regulations of the veil in France, Germany, and Turkey: Sabine Berghahn, Gül Çorbacıoğlu, Petra Rostock and Maria Eleonora Sanna; 9. Non-regulation: opportunity for freedom of religion or sedimentation of existing power structures?: Rikke Andreassen, Eirini Avramopoulou, Nora Gresch, Sevgi Kılıç and Birgit Sauer |
10. Muslim women's participation in the veil controversy: Austria and the UK compared: Leila Hadj-Abdou and Linda WoodheadConclusion: the veil as a case of value diversity and European values: Sawitri Saharso; Appendix 1: list of cited documents; Appendix 2: list of major frames and subframes of the VEIL project's frame analysis; Index |
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Sommario/riassunto |
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Heated debates about Muslim women's veiling practices have regularly attracted the attention of European policymakers over the last decade. The headscarf has been both vehemently contested by national and/or regional governments, political parties and public intellectuals and passionately defended by veil wearing women and their supporters. Systematically applying a comparative perspective, this book addresses the question of why the headscarf tantalises and causes such controversy over issues about religious pluralism, secularism, neutrality of the state, gender oppression, citizenship, mi |
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