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1. |
Record Nr. |
UNINA9910784042703321 |
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Autore |
Friberg Jöran |
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Titolo |
Amazing traces of a Babylonian origin in Greek mathematics [[electronic resource] /] / Jöran Friberg |
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Pubbl/distr/stampa |
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Hackensack, N.J. ; ; London, : World Scientific, c2007 |
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ISBN |
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1-281-12135-5 |
9786611121358 |
981-270-884-7 |
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Descrizione fisica |
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1 online resource (497 p.) |
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Disciplina |
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Soggetti |
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Mathematics, Greek |
Mathematics, Babylonian |
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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 and index. |
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Nota di contenuto |
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Preface; Contents; 1. Elements II and Babylonian Metric Algebra; 2. El. I.47 and the Old Babylonian Diagonal Rule; 3. Lemma El. X.28/29 1a, Plimpton 322, and Babylonian igi-igi.bi Problems; 4. Lemma El. X.32/33 and an Old Babylonian Geometric Progression; 5. Elements X and Babylonian Metric Algebra; 6. Elements IV and Old Babylonian Figures Within Figures; 7. El. VI.30, XIII.1-12, and Regular Polygons in Babylonian Mathematics; 8. El. XIII.13-18 and Regular Polyhedrons in Babylonian Mathematics; 9. Elements XII and Pyramids and Cones in Babylonian Mathematics |
10. El. I.43-44, El. VI.24-29, Data 57-59, 84-86, and Metric Algebra11. Euclid's Lost Book On Divisions and Babylonian Striped Figures; 12. Hippocrates' Lunes and Babylonian Figures with Curved Boundaries; 13. Traces of Babylonian Metric Algebra in the Arithmetica of Diophantus; 14. Heron's, Ptolemy's, and Brahmagupta's Area and Diagonal Rules; 15. Theon of Smyrna's Side and Diagonal Numbers and Ascending Infinite Chains of Birectangles; 16. Greek and Babylonian Square Side Approximations; 17. Theodorus of Cyrene's Irrationality Proof and Descending Infinite Chains of Birectangles |
18. The Pseudo-Heronic GeometricaAppendix 1. A Chain of Trapezoids with Fixed Diagonals; Appendix 2. A Catalog of Babylonian Geometric Figures; Index of Texts, Propositions, and Lemmas; Index of Subjects; |
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Bibliography; Comparative Mesopotamian, Egyptian, and Babylonian Timelines |
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Sommario/riassunto |
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A sequel to Unexpected Links Between Egyptian and Babylonian Mathematics (World Scientific, 2005), this book is based on the author's intensive and ground breaking studies of the long history of Mesopotamian mathematics, from the late 4th to the late 1st millennium BC. It is argued in the book that several of the most famous Greek mathematicians appear to have been familiar with various aspects of Babylonian "metric algebra," a convenient name for an elaborate combination of geometry, metrology, and quadratic equations that is known from both Babylonian and pre-Babylonian mathematical clay tab |
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2. |
Record Nr. |
UNINA9910165155003321 |
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Autore |
Crochick José Leon |
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Titolo |
Bullying, Prejudice and School Performance : A New Approach / / by José Leon Crochick, Nicole Crochick |
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Pubbl/distr/stampa |
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Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017 |
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ISBN |
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Edizione |
[1st ed. 2017.] |
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Descrizione fisica |
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1 online resource (X, 84 p.) |
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Collana |
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SpringerBriefs in School Psychology, , 2520-8918 |
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Disciplina |
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Soggetti |
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Child psychology |
School psychology |
Education |
Children |
Adolescence |
Developmental psychology |
Educational sociology |
Child and School Psychology |
Education, general |
Childhood, Adolescence and Society |
Developmental Psychology |
Sociology of Education |
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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 bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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Chapter 1. Two Forms of School Violence: Bullying and Prejudice -- Chapter 2. Objectives and Research Method -- Chapter 3. Analysis and Discussion of the Survey Data -- Chapter 4. Proposals for addressing School Violence -- Appendix: Research Instruments. |
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Sommario/riassunto |
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This brief presents a new approach to the study of bullying and prejudice in school settings, analyzing the particularities of these two forms of violence and relating them to the hierarchies that distinguish students based on academic performance and popularity. Analyzing data gathered by surveys carried out between 2010 and 2014 with 274 students from public schools of São Paulo, Brazil, the authors show that, despite bullying and prejudice are related, they have specific characteristics that need to be acknowledged in order to help educators develop more efficient initiatives to prevent them. Building upon the Critical Theory of Society – especially Adorno’s studies of authoritarian personality and school hierarchies – the authors develop a theoretical framework that helps researchers and educators to identify the particularities of bullying and prejudice and develop specific strategies to deal with them. In addition, the empirical and theoretical elements presented in the book show how these forms of violence are related to the two hierarchies that exist side by side in schools – the official hierarchy that distinguishes good and bad students based on their academic performance and the unofficial hierarchy characterized by the distinction between those who excel in dating, fighting, in team sports and those who do not excel in any of these activities. This innovative volume: • Argues that bullying and prejudice are different forms of school violence that demand different theoretical and practical approaches • Examines data gathered by surveys carried out with 274 students of public schools in São Paulo, Brazil, between 2010 and 2014 • Relates bullying and prejudice to the hierarchies that distinguish students based both on their academic performance and popularity • Analyzes the impact of factors such as autonomy from the school authority and the ideology of authoritarianism on bullying and prejudice • Presents strategies to fight bullying and prejudice in schools Bullying, Prejudice and School Performance: A New Approach is a useful and innovative tool for psychologists, educators, sociologists, school teachers and researchers in the fields of child and school psychology, educational psychology, sociology of education and related disciplines. . |
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