The Mathematician who Challenged Rome

The Mathematician who Challenged Rome

Author: Francesco Grasso

Publisher: Babelcube Inc.

Published: 2019-01-31

Total Pages: 260

ISBN-13: 1547568704

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The story of the long battle between Rome and Carthage (264 - 146 BCE) tends to neglect the role of a third city, a city that was at least as prosperous as Rome, and was possibly even superior in its heritage and culture. It was Syracuse, the pearl of Magna Graecia, a beacon of civilisation and military power that found itself - unfortunately for her - an ally of Hannibal at the wrong time. A course of action that Rome never forgave. Despite being overpowered by her enemy in terms of men and arms, Syracuse resisted the siege of the Roman fleet and legions for two years, from 214 to 212 BCE, thanks largely to the remarkable inventions of Archimedes, one of the most brilliant scientists of all time. If misfortune (and the Syracusans themselves) had not prevented Archimedes from taking full advantage of his brilliant inventions, that long siege might have had a different outcome. This novel recounts the world of the eminent mathematician, and describes his fascinating discoveries and how they were deployed during the historic face off.


Galileo in Rome

Galileo in Rome

Author: William R. Shea

Publisher: Oxford University Press

Published: 2003-09-25

Total Pages: 272

ISBN-13: 0195165985

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Two leading authorities on Galileo offer a brilliant revisionist look at the career of the great Italian scientist.


Rome's Last Citizen

Rome's Last Citizen

Author: Rob Goodman

Publisher: Macmillan

Published: 2012-10-16

Total Pages: 382

ISBN-13: 0312681232

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This biography of Marcus Cato the Younger -- Rome's bravest statesman, an aristocratic soldier, a Stoic philosopher, and staunch defender of sacred Roman tradition -- is rich with resonances for current politics and contemporary notions of freedom.


Jews and Their Roman Rivals

Jews and Their Roman Rivals

Author: Katell Berthelot

Publisher: Princeton University Press

Published: 2021-10-26

Total Pages: 546

ISBN-13: 0691220425

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How encounters with the Roman Empire compelled the Jews of antiquity to rethink their conceptions of Israel and the Torah Throughout their history, Jews have lived under a succession of imperial powers, from Assyria and Babylonia to Persia and the Hellenistic kingdoms. Jews and Their Roman Rivals shows how the Roman Empire posed a unique challenge to Jewish thinkers such as Philo, Josephus, and the Palestinian rabbis, who both resisted and internalized Roman standards and imperial ideology. Katell Berthelot traces how, long before the empire became Christian, Jews came to perceive Israel and Rome as rivals competing for supremacy. Both considered their laws to be the most perfect ever written, and both believed they were a most pious people who had been entrusted with a divine mission to bring order and peace to the world. Berthelot argues that the rabbinic identification of Rome with Esau, Israel's twin brother, reflected this sense of rivalry. She discusses how this challenge transformed ancient Jewish ideas about military power and the use of force, law and jurisdiction, and membership in the people of Israel. Berthelot argues that Jewish thinkers imitated the Romans in some cases and proposed competing models in others. Shedding new light on Jewish thought in antiquity, Jews and Their Roman Rivals reveals how Jewish encounters with pagan Rome gave rise to crucial evolutions in the ways Jews conceptualized the Torah and conversion to Judaism.


The Mathematics of the Heavens and the Earth

The Mathematics of the Heavens and the Earth

Author: Glen Van Brummelen

Publisher: Princeton University Press

Published: 2021-08-10

Total Pages: 352

ISBN-13: 1400833310

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The Mathematics of the Heavens and the Earth is the first major history in English of the origins and early development of trigonometry. Glen Van Brummelen identifies the earliest known trigonometric precursors in ancient Egypt, Babylon, and Greece, and he examines the revolutionary discoveries of Hipparchus, the Greek astronomer believed to have been the first to make systematic use of trigonometry in the second century BC while studying the motions of the stars. The book traces trigonometry's development into a full-fledged mathematical discipline in India and Islam; explores its applications to such areas as geography and seafaring navigation in the European Middle Ages and Renaissance; and shows how trigonometry retained its ancient roots at the same time that it became an important part of the foundation of modern mathematics. The Mathematics of the Heavens and the Earth looks at the controversies as well, including disputes over whether Hipparchus was indeed the father of trigonometry, whether Indian trigonometry is original or derived from the Greeks, and the extent to which Western science is indebted to Islamic trigonometry and astronomy. The book also features extended excerpts of translations of original texts, and detailed yet accessible explanations of the mathematics in them. No other book on trigonometry offers the historical breadth, analytical depth, and coverage of non-Western mathematics that readers will find in The Mathematics of the Heavens and the Earth.


Mathematical Thought From Ancient to Modern Times, Volume 1

Mathematical Thought From Ancient to Modern Times, Volume 1

Author: Morris Kline

Publisher: Oxford University Press

Published: 1990-03-01

Total Pages: 434

ISBN-13: 0199770468

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The major creations and developments in mathematics from the beginnings in Babylonia and Egypt through the first few decades of the twentieth century are presented with clarity and precision in this comprehensive historical study.


Transforming Mathematics Instruction

Transforming Mathematics Instruction

Author: Yeping Li

Publisher: Springer

Published: 2014-07-05

Total Pages: 581

ISBN-13: 3319049933

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This book surveys and examines different approaches and practices that contribute to the changes in mathematics instruction, including (1) innovative approaches that bring direct changes in classroom instructional practices, (2) curriculum reforms that introduce changes in content and requirements in classroom instruction, and (3) approaches in mathematics teacher education that aim to improve teachers’ expertise and practices. It also surveys relevant theory and methodology development in studying and assessing mathematics instruction. Classroom instruction is commonly seen as one of the key factors contributing to students’ learning of mathematics, but much remains to be understood about teachers’ instructional practices that lead to the development and enactment of effective classroom instruction, and approaches and practices developed and used to transform classroom instruction in different education systems. Transforming Mathematics Instruction is organized to help readers learn not only from reading individual chapters, but also from reading across chapters and sections to explore broader themes, including: - Identifying what is important in mathematics for teaching and learning emphasized in different approaches; - Exploring how students’ learning is considered and facilitated through different approaches and practices; - Understanding the nature of various approaches that are valued in different systems and cultural contexts; - Probing culturally valued approaches in identifying and evaluating effective instructional practices. The book brings new research and insights into multiple approaches and practices for transforming mathematics instruction to the international community of mathematics education, with 25 chapters and four section prefaces contributed by 56 scholars from 10 different education systems. This rich collection is indispensable reading for mathematics educators, researchers, teacher educators, curriculum developers, and graduate students interested in learning about different instructional practices, approaches for instructional transformation, and research in different education systems. It will help readers to reflect on approaches and practices that are useful for instructional changes in their own education systems, and also inspire them to identify and further explore new areas of research and program development in improving mathematics teaching and learning.


The Ruin of the Roman Empire

The Ruin of the Roman Empire

Author: James J. O'Donnell

Publisher: Harper Collins

Published: 2008-09-16

Total Pages: 454

ISBN-13: 0060787376

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Recounts the sixth-century events and circumstances that led to the fall of the Roman Empire.


O-level Mathematics Challenging Exam Questions (Yellowreef)

O-level Mathematics Challenging Exam Questions (Yellowreef)

Author: Thomas Bond

Publisher: Yellowreef Limited

Published: 2013-11-28

Total Pages: 344

ISBN-13: 0797802207

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• 10 sets of up-to-date ordinary examination papers modelled after the actual examination • answer keys intentionally withheld to simulate actual examination condition • full solutions, mark schemes and exam reports for the questions available separately • best used just before taking the actual examination • complete edition and concise edition eBooks available


A Challenge for Mathematics Education

A Challenge for Mathematics Education

Author:

Publisher: Grao

Published: 2004-06-17

Total Pages: 460

ISBN-13: 8478275495

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Fruto de un encuentro celebrado en Vilanova i la Geltrú (España) en julio de 2002, el libro que presentamos hoy, trata uno de los temas de gran importancia para la reflexión pedagógica actual: el papel de la globalización, vehiculado por lo sugerente de lo común y de lo diverso en educación matemática y sus desafíos.