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Author: Benjamin Wardhaugh Publisher: Princeton University Press ISBN: 0691235767 Category : Mathematics Languages : en Pages : 416
Book Description
A sweeping cultural history of one of the most influential mathematical books ever written Euclid's Elements of Geometry is one of the fountainheads of mathematics—and of culture. Written around 300 BCE, it has traveled widely across the centuries, generating countless new ideas and inspiring such figures as Isaac Newton, Bertrand Russell, Abraham Lincoln, and Albert Einstein. Encounters with Euclid tells the story of this incomparable mathematical masterpiece, taking readers from its origins in the ancient world to its continuing influence today. In this lively and informative book, Benjamin Wardhaugh explains how Euclid’s text journeyed from antiquity to the Renaissance, introducing some of the many readers, copyists, and editors who left their mark on the Elements before handing it on. He shows how some read the book as a work of philosophy, while others viewed it as a practical guide to life. He examines the many different contexts in which Euclid's book and his geometry were put to use, from the Neoplatonic school at Athens and the artisans' studios of medieval Baghdad to the Jesuit mission in China and the workshops of Restoration London. Wardhaugh shows how the Elements inspired ideas in theology, art, and music, and how the book has acquired new relevance to the strange geometries of dark matter and curved space. Encounters with Euclid traces the life and afterlives of one of the most remarkable works of mathematics ever written, revealing its lasting role in the timeless search for order and reason in an unruly world.
Author: Benjamin Wardhaugh Publisher: Princeton University Press ISBN: 0691235767 Category : Mathematics Languages : en Pages : 416
Book Description
A sweeping cultural history of one of the most influential mathematical books ever written Euclid's Elements of Geometry is one of the fountainheads of mathematics—and of culture. Written around 300 BCE, it has traveled widely across the centuries, generating countless new ideas and inspiring such figures as Isaac Newton, Bertrand Russell, Abraham Lincoln, and Albert Einstein. Encounters with Euclid tells the story of this incomparable mathematical masterpiece, taking readers from its origins in the ancient world to its continuing influence today. In this lively and informative book, Benjamin Wardhaugh explains how Euclid’s text journeyed from antiquity to the Renaissance, introducing some of the many readers, copyists, and editors who left their mark on the Elements before handing it on. He shows how some read the book as a work of philosophy, while others viewed it as a practical guide to life. He examines the many different contexts in which Euclid's book and his geometry were put to use, from the Neoplatonic school at Athens and the artisans' studios of medieval Baghdad to the Jesuit mission in China and the workshops of Restoration London. Wardhaugh shows how the Elements inspired ideas in theology, art, and music, and how the book has acquired new relevance to the strange geometries of dark matter and curved space. Encounters with Euclid traces the life and afterlives of one of the most remarkable works of mathematics ever written, revealing its lasting role in the timeless search for order and reason in an unruly world.
Author: Ronald Wardhaugh Publisher: John Wiley & Sons ISBN: 1118732405 Category : Language Arts & Disciplines Languages : en Pages : 448
Book Description
Thoroughly updated and revised, An Introduction to Sociolinguistics, 7th Edition presents a comprehensive and fully updated introduction to the study of the relationship between language and society. Building on Ronald Wardhaugh’s classic text, co-author Janet Fuller has updated this seventh edition throughout with new discussions exploring language and communities, language and interaction, and sociolinguistic variation, as well as incorporating numerous new exercises and research ideas for today’s students. Taking account of new research from the field, the book explores exciting new perspectives drawn from linguistic anthropology, and includes new chapters on pragmatics, discourse analysis, and sociolinguistics and education. With an emphasis on using examples from languages and cultures around the world, chapters address topics including social and regional dialects, multilingualism, discourse and pragmatics, variation, language in education, and language policy and planning. A new companion website including a wealth of additional online material, as well as a glossary and a variety of new exercises and examples, helps further illuminate the ideas presented in the text. An Introduction to Sociolinguistics, 7th Edition continues to be the most indispensable and accessible introduction to the field of sociolinguistics for students in applied and theoretical linguistics, education, and anthropology.
Author: Benjamin Wardhaugh Publisher: Princeton University Press ISBN: 140083533X Category : Mathematics Languages : en Pages : 131
Book Description
Techniques for deciphering texts by early mathematicians Writings by early mathematicians feature language and notations that are quite different from what we're familiar with today. Sourcebooks on the history of mathematics provide some guidance, but what has been lacking is a guide tailored to the needs of readers approaching these writings for the first time. How to Read Historical Mathematics fills this gap by introducing readers to the analytical questions historians ask when deciphering historical texts. Sampling actual writings from the history of mathematics, Benjamin Wardhaugh reveals the questions that will unlock the meaning and significance of a given text—Who wrote it, why, and for whom? What was its author's intended meaning? How did it reach its present form? Is it original or a translation? Why is it important today? Wardhaugh teaches readers to think about what the original text might have looked like, to consider where and when it was written, and to formulate questions of their own. Readers pick up new skills with each chapter, and gain the confidence and analytical sophistication needed to tackle virtually any text in the history of mathematics. Introduces readers to the methods of textual analysis used by historians Uses actual source material as examples Features boxed summaries, discussion questions, and suggestions for further reading Supplements all major sourcebooks in mathematics history Designed for easy reference Ideal for students and teachers
Author: Ronald Wardhaugh Publisher: Wiley-Blackwell ISBN: 9780631187547 Category : Language Arts & Disciplines Languages : en Pages : 304
Book Description
This book is intended for anyone with a serious interest in language, but particularly for students taking introductory courses in language and linguistics. It is not a catalogue of facts and theories but a book about ideas and issues. Rather than summarize the range of research being conducted in linguistics today, it explores a number of the fundamental key questions which concern linguists, they are treated in way that is as accessible as possible. The book includes a glossary of technical terms and a chapter outlining the way language is described in generative grammar.
Author: Ronald Wardhaugh Publisher: Wiley-Blackwell ISBN: 9780631139393 Category : Language Arts & Disciplines Languages : en Pages : 230
Book Description
Conversation is very often spontaneous, natural and informal. But even at its most casual it is governed by rules and principles of language and behaviour. This book lays bare the structure of conversation, describing what happens when people talk to each other and explaining why they say what they say in a wide variety of circumstances. Ronald Wardhaugh explores many aspects of conversation, asking how conversations start, how we decide who will speak next, how we change the subject, and how we know when a conversation has finished. How Conversation Works is the most accessible guide to discourse analysis and pragmatics yet written and will be read with profit and enjoyment by students and general readers alike.
Author: Benjamin Wardhaugh Publisher: Princeton University Press ISBN: 0691147752 Category : Mathematics Languages : en Pages : 388
Book Description
An entertaining and informative anthology of popular math writing from the Renaissance to cyberspace Despite what we may sometimes imagine, popular mathematics writing didn't begin with Martin Gardner. In fact, it has a rich tradition stretching back hundreds of years. This entertaining and enlightening antholog—the first of its kind—gathers nearly one hundred fascinating selections from the past 500 years of popular math writing, bringing to life a little-known side of math history. Ranging from the late fifteenth to the late twentieth century, and drawing from books, newspapers, magazines, and websites, A Wealth of Numbers includes recreational, classroom, and work mathematics; mathematical histories and biographies; accounts of higher mathematics; explanations of mathematical instruments; discussions of how math should be taught and learned; reflections on the place of math in the world; and math in fiction and humor. Featuring many tricks, games, problems, and puzzles, as well as much history and trivia, the selections include a sixteenth-century guide to making a horizontal sundial; "Newton for the Ladies" (1739); Leonhard Euler on the idea of velocity (1760); "Mathematical Toys" (1785); a poetic version of the rule of three (1792); "Lotteries and Mountebanks" (1801); Lewis Carroll on the game of logic (1887); "Maps and Mazes" (1892); "Einstein's Real Achievement" (1921); "Riddles in Mathematics" (1945); "New Math for Parents" (1966); and "PC Astronomy" (1997). Organized by thematic chapters, each selection is placed in context by a brief introduction. A unique window into the hidden history of popular mathematics, A Wealth of Numbers will provide many hours of fun and learning to anyone who loves popular mathematics and science.
Author: Ronald Wardhaugh Publisher: John Wiley & Sons ISBN: 0631232915 Category : Language Arts & Disciplines Languages : en Pages : 308
Book Description
Understanding English Grammar presents a linguistic introduction to the structure of English that is accessible to students who have had little or no opportunity to study the language. Familiarizes students with the essential structural characteristics of English. Features accessible coverage of syntax, morphology, and phonology, as well as basic linguistic concepts. Includes numerous examples, exercises, and an indexed glossary.
Author: Mike Buckle Publisher: Black & White Publishing ISBN: 1845025849 Category : Sports & Recreation Languages : en Pages : 210
Book Description
This is the new updated paperback edition. In the proud history of Heart of Midlothian football club, one season stands out as their finest ever. Now, fifty years on from that memorable 1957/58 campaign which brought the League Championship to Gorgie, read the full inside story of how they did it and what it meant to the fans. It was without question the golden age of the club, when players like Alfie Conn Sr, Willie Bauld, Jimmy Wardhaugh, Dave Mackay and Alex Young left Rangers and Celtic trailing in their wake, scored a record number of goals in a season and won the League Championship by a huge margin.In "Hearts' Greatest Ever Season", lifelong supporter Mike Buckle brings the whole remarkable story to life and details how, after sixty-one years without a championship win, the club finally achieved their goal. For Hearts fans who remember those heady days, this is an apt and nostalgic reminder of the times.For younger fans who have lived through the rollercoaster years of the Wallace Mercer era, the Deans and Robinson ownership, the threats of the club being wound up and the Romanov revolution which has promised so much but failed to deliver, "Hearts' Greatest Ever Season" offers the hope that history might one day be repeated and that the dream of the League title returning to Gorgie could become reality once again.
Author: Ronald Wardhaugh Publisher: Wiley-Blackwell ISBN: 9780631204985 Category : Language Arts & Disciplines Languages : en Pages : 416
Book Description
The new edition of Ronald Wardhaugh's immensely popular textbook incorporates a wealth of new material reflecting the progress of the field since the start of the 1990s, with coverage of some 150 recent books or papers.
Author: Benjamin Wardhaugh
Author: Benjamin Wardhaugh
Author: Ronald Wardhaugh
Author: Benjamin Wardhaugh
Author: Ronald Wardhaugh
Author: Ronald Wardhaugh
Author: Ronald Wardhaugh
Author: Benjamin Wardhaugh
Author: Ronald Wardhaugh
Author: Mike Buckle
Author: Ronald Wardhaugh