Search results for "math"

Read more about Cicero, Against Verres, 2.1.53-86. Latin Text with Introduction, Study Questions, Commentary and English Translation

Cicero, Against Verres, 2.1.53-86. Latin Text with Introduction, Study Questions, Commentary and English Translation

Copyright Year: 2011

Contributor: Gildenhard

Publisher: Open Book Publishers

License: CC BY

Looting, despoiling temples, attempted rape and judicial murder: these are just some of the themes of this classic piece of writing by one of the world's greatest orators. This particular passage is from the second book of Cicero's Speeches against Verres, who was a former Roman magistrate on trial for serious misconduct. Cicero presents the lurid details of Verres' alleged crimes in exquisite and sophisticated prose.

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Read more about Virgil, Aeneid, 4.1-299. Latin Text, Study Questions, Commentary and Interpretative Essays

Virgil, Aeneid, 4.1-299. Latin Text, Study Questions, Commentary and Interpretative Essays

Copyright Year: 2012

Contributor: Gildenhard

Publisher: Open Book Publishers

License: CC BY

Love and tragedy dominate book four of Virgil's most powerful work, building on the violent emotions invoked by the storms, battles, warring gods, and monster-plagued wanderings of the epic's opening.

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Read more about Tacitus, Annals, 15.20­-23, 33­-45. Latin Text, Study Aids with Vocabulary, and Commentary

Tacitus, Annals, 15.20­-23, 33­-45. Latin Text, Study Aids with Vocabulary, and Commentary

Copyright Year: 2013

Contributors: Owen and Gildenhard

Publisher: Open Book Publishers

License: CC BY

The emperor Nero is etched into the Western imagination as one of ancient Rome's most infamous villains, and Tacitus' Annals have played a central role in shaping the mainstream historiographical understanding of this flamboyant autocrat.

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Read more about Cicero, On Pompey’s Command (De Imperio), 27-49. Latin Text, Study Aids with Vocabulary, Commentary, and Translation

Cicero, On Pompey’s Command (De Imperio), 27-49. Latin Text, Study Aids with Vocabulary, Commentary, and Translation

Copyright Year: 2014

Contributors: Gildenhard and Hodgson

Publisher: Open Book Publishers

License: CC BY

In republican times, one of Rome's deadliest enemies was King Mithridates of Pontus. In 66 BCE, after decades of inconclusive struggle, the tribune Manilius proposed a bill that would give supreme command in the war against Mithridates to Pompey the Great, who had just swept the Mediterranean clean of another menace: the pirates. While powerful aristocrats objected to the proposal, which would endow Pompey with unprecedented powers, the bill proved hugely popular among the people, and one of the praetors, Marcus Tullius Cicero, also hastened to lend it his support. In his first ever political speech, variously entitled pro lege Manilia or de imperio Gnaei Pompei, Cicero argues that the war against Mithridates requires the appointment of a perfect general and that the only man to live up to such lofty standards is Pompey. In the section under consideration here, Cicero defines the most important hallmarks of the ideal military commander and tries to demonstrate that Pompey is his living embodiment.

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Read more about Ovid, Metamorphoses, 3.511-733. Latin Text with Commentary

Ovid, Metamorphoses, 3.511-733. Latin Text with Commentary

Copyright Year: 2016

Contributors: Gildenhard and Zissos

Publisher: Open Book Publishers

License: CC BY

This extract from Ovid's 'Theban History' recounts the confrontation of Pentheus, king of Thebes, with his divine cousin, Bacchus, the god of wine. Notwithstanding the warnings of the seer Tiresias and the cautionary tale of a character Acoetes (perhaps Bacchus in disguise), who tells of how the god once transformed a group of blasphemous sailors into dolphins, Pentheus refuses to acknowledge the divinity of Bacchus or allow his worship at Thebes. Enraged, yet curious to witness the orgiastic rites of the nascent cult, Pentheus conceals himself in a grove on Mt. Cithaeron near the locus of the ceremonies. But in the course of the rites he is spotted by the female participants who rush upon him in a delusional frenzy, his mother and sisters in the vanguard, and tear him limb from limb.

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Read more about A Primer of Real Analysis

A Primer of Real Analysis

Copyright Year: 2009

Contributor: Sloughter

Publisher: Dan Sloughter

License: CC BY-NC-SA

This is a short introduction to the fundamentals of real analysis. Although the prerequisites are few, I have written the text assuming the reader has the level of mathematical maturity of one who has completed the standard sequence of calculus courses, has had some exposure to the ideas of mathematical proof (including induction), and has an acquaintance with such basic ideas as equivalence relations and the elementary algebraic properties of the integers.

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Read more about Yet Another Calculus Text

Yet Another Calculus Text

Copyright Year: 2007

Contributor: Sloughter

Publisher: Dan Sloughter

License: CC BY-NC-SA

I intend this book to be, firstly, a introduction to calculus based on the hyperrealnumber system. In other words, I will use infinitesimal and infinite numbers freely. Just as most beginning calculus books provide no logical justification for the real number system, I will provide none for the hyperreals. The reader interested in questions of foundations should consult books such asAbraham Robinson's Non-standard Analysis or Robert Goldblatt's Lectures onthe Hyperreals.

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Read more about A Different Road To College: A Guide For Transitioning Non-Traditional Students

A Different Road To College: A Guide For Transitioning Non-Traditional Students

Copyright Year: 2016

Contributor: Lamoreaux

Publisher: Open Oregon Educational Resources

License: CC BY

A Different Road To College: A Guide For Transitioning Non-Traditional Students is designed to introduce students to the contextual issues of college. Non-traditional students have an ever-growing presence on college campuses, especially community colleges. This open educational resource is designed to engage students in seeing themselves as college students and understanding the complexity of what that means to their lives.

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Read more about Elementary Algebra

Elementary Algebra

Copyright Year: 2017

Contributors: Marecek and Anthony-Smith

Publisher: OpenStax

License: CC BY

Elementary Algebra is designed to meet the scope and sequence requirements of a one-semester elementary algebra course. The book's organization makes it easy to adapt to a variety of course syllabi. The text expands on the fundamental concepts of algebra while addressing the needs of students with diverse backgrounds and learning styles. Each topic builds upon previously developed material to demonstrate the cohesiveness and structure of mathematics.

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Read more about Euclidean plane and its relatives

Euclidean plane and its relatives

Copyright Year: 2017

Contributor: Petrunin

Publisher: Anton Petrunin

License: CC BY-SA

This book is meant to be rigorous, conservative, elementary and minimalist. At the same time it includes about the maximum what students can absorb in one semester. Approximately one-third of the material used to be covered in high school, but not any more.The present book is based on the courses given by the author at the Pennsylvania State University as an introduction to the foundations of geometry. The lectures were oriented to sophomore and senior university students. These students already had a calculus course. In particular,they are familiar with the real numbers and continuity. It makes it possible to cover the material faster and in a more rigorous way than it could be done in high school.

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