He travelled widely in most of Asia Minor, Egypt (as far as Assuan), North Africa, Syria, the country north of the Black Sea, and many parts of the Aegean Sea and the mainland of Greece. He lived, it seems, for some time in Athens, and in 443 went with other colonists to the new city Thurii (in South Italy), where he died about 430. He was 'the prose correlative of the bard, a narrator of the deeds of real men, and a describer of foreign places' (Murray).Herodotus's famous history of warfare between the Greeks and the Persians has an epic dignity which enhances his delightful style. It includes the rise of the Persian power and an account of the Persian empire; a description and history of Egypt; and a long digression on the geography and customs of Scythia. Even in the later books on the attacks of the Persians against Greece there are digressions. All is most entertaining and produces a grand unity. After personal inquiry and study of hearsay and other evidence, Herodotus gives us a not uncritical estimate of the best that he could find.The Loeb Classical Library edition of Herodotus is in four volumes.

    Heath's translation of the thirteen books of Euclid's Elements. In keeping with Green Lion's design commitment, diagrams have been placed on every spread for convenient reference while working through the proofs; running heads on every page indicate both Euclid's book number and proposition numbers for that page; and adequate space for notes is allowed between propositions and around diagrams. The all-new index has built into it a glossary of Euclid's Greek terms.Heath's translation has stood the test of time, and, as one done by a renowned scholar of ancient mathematics, it can be relied upon not to have inadvertantly introduced modern concepts or nomenclature. We have excised the voluminous historical and scholarly commentary that swells the Dover edition to three volumes and impedes classroom use of the original text. The single volume is not only more convenient, but less expensive as well.

    An admirer of Socrates in early manhood, he later founded the school of philosophy in the grove Academus. Much recorded of his life is uncertain; that he left Athens for a time after Socrates' execution is probable; that later he went to Cyrene, Egypt & Sicily is possible; that he was wealthy is likely; that he was critical of democracy is obvious. He lived to be 80. Linguistic tests including those of computer science try to establish the order of his extant philosophical dialogs, written in splendid prose, revealing Socrates' mind fused with Plato's thought. In Laches, Charmides & Lysis, Socrates & others discuss separate ethical conceptions. Protagoras, Ion & Meno discuss whether righteousness is teachable. In Gorgias, Socrates is estranged from his city's thought. His fate is impending. The Apology (not a dialog), Crito, Euthyphro and Phaedo relate the trial & death of Socrates & propound the soul's immortality. In Symposium & Phaedrus, written when Socrates was still alive, we find the origin & meaning of love. Cratylus discusses the nature of language. The ten books of the Republic concern righteousness (& involves education, sex equality, the structure of society & abolition of slavery). Of the six so-called dialectical dialogs Euthydemus deals with philosophy; metaphysical Parmenides is about general concepts & absolute being; Theaetetus reasons about epistemology. Of its sequels, Sophist deals with not-being; Politicus with good & bad statesmanship & governments; Philebus with what is good. Timaeus seeks the origin of the visible cosmos out of abstract geometrical elements. Unfinished Critias treats of lost Atlantis. Unfinished also is Plato's last work of the twelve books of Laws (Socrates absent), a discussion of principles of law which Plato thought Greeks might accept. The Loeb Classical Library's Plato is in twelve volumes.

    It is universally recognized as the standard English version of Aristotle. This revised edition contains the substance of the original translation, slightly emended in light of recent scholarship; three of the original versions have been replaced by new translations; and a new and enlarged selection of Fragments has been added. The aim of the translation remains the same: to make the surviving works of Aristotle readily accessible to English speaking readers.

    Suetonius Tranquillus, born ca. 70 CE), son of a military tribune, was at first an advocate and a teacher of rhetoric, but later became the emperor Hadrian's private secretary, 119-121. He dedicated to C. Septicius Clarus, prefect of the praetorian guard, his "Lives of the Caesars." After the dismissal of both men for some breach of court etiquette, Suetonius apparently retired and probably continued his writing. His other works, many known by title, are now lost except for part of the "Lives of Illustrious Men" (of letters).Friend of Pliny the Younger, Suetonius was a studious and careful collector of facts, so that the extant lives of the emperors (including Julius Caesar the dictator) to Domitian are invaluable. His plan in "Lives of the Caesars" is: the emperor's family and early years; public and private life; death. We find many anecdotes, much gossip of the imperial court, and various details of character and personal appearance. Suetonius's account of Nero's death is justly famous.The Loeb Classical Library edition of Suetonius is in two volumes. Both volumes were revised throughout in 1997-98, and a new Introduction added.

    The presentation stresses analytical methods, concrete examples, and geometric intuition. A unique feature of the book is its emphasis on applications. These include mechanical vibrations, lasers, biological rhythms, superconducting circuits, insect outbreaks, chemical oscillators, genetic control systems, chaotic waterwheels, and even a technique for using chaos to send secret messages. In each case, the scientific background is explained at an elementary level and closely integrated with mathematical theory.About the Author:Steven Strogatz is in the Center for Applied Mathematics and the Department of Theoretical and Applied Mathematics at Cornell University. Since receiving his Ph.D. from Harvard university in 1986, Professor Strogatz has been honored with several awards, including the E.M. Baker Award for Excellence, the highest teaching award given by MIT.

    The Discourses report wide-ranging discussions between Epictetus and his students.

    Democritus's atomic theory of matter, Zeno's dazzling "proofs" that motion is impossible, Pythagorean insights into mathematics, Heraclitus's haunting and enigmatic epigrams-all form part of a revolution in human thought that relied on reasoning, forged the first scientific vocabulary, and laid the foundations of Western philosophy. Jonathan Barnes has painstakingly brought together the surviving Presocratic fragments in their original contexts, utilizing the latest research and a newly discovered major papyrus of Empedocles.

    Diogenes Laertius carefully compiled his information from hundreds of sources and enriches his accounts with numerous quotations.Diogenes Laertius lived probably in the earlier half of the 3rd century CE, his ancestry and birthplace being unknown. His history, in ten books, is divided unscientifically into two 'Successions' or sections: 'Ionian' from Anaximander to Theophrastus and Chrysippus, including the Socratic schools; 'Italian' from Pythagoras to Epicurus, including the Eleatics and sceptics. It is a very valuable collection of quotations and facts.The Loeb Classical Library edition of Diogenes Laertius is in two volumes.

    His great book, On Nature, the world's first coherent philosophical treatise and touchstone for Plato, Aristotle, and Marcus Aurelius, has long been lost to history-but its surviving fragments have for thousands of years tantalized our greatest thinkers, from Montaigne to Nietzsche, Heidegger to Jung. Now, acclaimed poet Brooks Haxton presents a powerful free-verse translation of all 130 surviving fragments of the teachings of Heraclitus, with the ancient Greek originals beautifully reproduced en face.For more than seventy years, Penguin has been the leading publisher of classic literature in the English-speaking world. With more than 1,700 titles, Penguin Classics represents a global bookshelf of the best works throughout history and across genres and disciplines. Readers trust the series to provide authoritative texts enhanced by introductions and notes by distinguished scholars and contemporary authors, as well as up-to-date translations by award-winning translators.

    Having just completed his masterpiece, The General Theory of Relativity—which provided a brand-new theory of gravity and promised a new perspective on the cosmos as a whole—he set out at once to share his excitement with as wide a public as possible in this popular and accessible book.Here published for the first time as a Penguin Classic, this edition of Relativity features a new introduction by bestselling science author Nigel Calder.

    To understand algebra is to possess the power to grow your skills and knowledge so you can ace your courses and possibly pursue further study in math. Algebra II For Dummies is the fun and easy way to get a handle on this subject and solve even the trickiest algebra problems. This friendly guide shows you how to get up to speed on exponential functions, laws of logarithms, conic sections, matrices, and other advanced algebra concepts. In no time you'll have the tools you need to:Interpret quadratic functions Find the roots of a polynomial Reason with rational functions Expose exponential and logarithmic functions Cut up conic sections Solve linear and non linear systems of equations Equate inequalities Simplifyy complex numbers Make moves with matrices Sort out sequences and sets This straightforward guide offers plenty of multiplication tricks that only math teachers know. It also profiles special types of numbers, making it easy for you to categorize them and solve any problems without breaking a sweat. When it comes to understanding and working out algebraic equations, Algebra II For Dummies is all you need to succeed!

    xn + yn = zn, where n represents 3, 4, 5, ...no solution"I have discovered a truly marvelous demonstration of this proposition which this margin is too narrow to contain."With these words, the seventeenth-century French mathematician Pierre de Fermat threw down the gauntlet to future generations.  What came to be known as Fermat's Last Theorem looked simple; proving it, however, became the Holy Grail of mathematics, baffling its finest minds for more than 350 years.  In Fermat's Enigma--based on the author's award-winning documentary film, which aired on PBS's "Nova"--Simon Singh tells the astonishingly entertaining story of the pursuit of that grail, and the lives that were devoted to, sacrificed for, and saved by it.  Here is a mesmerizing tale of heartbreak and mastery that will forever change your feelings about mathematics.

    In his political speeches especially and in his correspondence we see the excitement, tension and intrigue of politics and the part he played in the turmoil of the time. Of about 106 speeches, delivered before the Roman people or the Senate if they were political, before jurors if judicial, 58 survive (a few of them incompletely). In the fourteenth century Petrarch and other Italian humanists discovered manuscripts containing more than 900 letters of which more than 800 were written by Cicero and nearly 100 by others to him. These afford a revelation of the man all the more striking because most were not written for publication. Six rhetorical works survive and another in fragments. Philosophical works include seven extant major compositions and a number of others; and some lost. There is also poetry, some original, some as translations from the Greek.The Loeb Classical Library edition of Cicero is in twenty-nine volumes.

    Providing a concise introduction to abstract algebra, this work unfolds some of the fundamental systems with the aim of reaching applicable, significant results.