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Algebraic Topology and basic homotopy theory form a fundamental building block for much of modern mathematics. These lecture notes represent a culmination of many years of leading a two-semester course in this subject at MIT. The style is engaging and student-friendly, but precise. Every lecture is accompanied by exercises. It begins slowly in order to gather up students with a variety of backgrounds, but gains pace as the course progresses, and by the end the student has a command of all the basic techniques of classical homotopy theory.
How the World Changed Social Media is the first book in Why We Post, a book series that investigates the findings of anthropologists who each spent 15 months living in communities across the world. This book offers a comparative analysis summarising the results of the research and explores the impact of social media on politics and gender, education and commerce. What is the result of the increased emphasis on visual communication? Are we becoming more individual or more social? Why is public social media so conservative? Why does equality online fail to shift inequality offline? How did memes become the moral police of the internet? Supported by an introduction to the project’s academic framework and theoretical terms that help to account for the findings, the book argues that the only way to appreciate and understand something as intimate and ubiquitous as social media is to be immersed in the lives of the people who post. Only then can we discover how people all around the world have already transformed social media in such unexpected ways and assess the consequences
The Handbook of Homotopy Theory provides a panoramic view of an active area in mathematics that is currently seeing dramatic solutions to long-standing open problems, and is proving itself of increasing importance across many other mathematical disciplines. The origins of the subject date back to work of Henri Poincaré and Heinz Hopf in the early 20th century, but it has seen enormous progress in the 21st century. A highlight of this volume is an introduction to and diverse applications of the newly established foundational theory of ¥ -categories. The coverage is vast, ranging from axiomatic to applied, from foundational to computational, and includes surveys of applications both geometric and algebraic. The contributors are among the most active and creative researchers in the field. The 22 chapters by 31 contributors are designed to address novices, as well as established mathematicians, interested in learning the state of the art in this field, whose methods are of increasing importance in many other areas.
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Based on 15 months of ethnographic research in the city of Alto Hospicio in northern Chile, this book describes how the residents use social media, and the consequences of this use in their daily lives. Nell Haynes argues that social media is a place where Alto Hospicio’s residents – or Hospiceños – express their feelings of marginalisation that result from living in city far from the national capital, and with a notoriously low quality of life compared to other urban areas in Chile. In actively distancing themselves from residents in cities such as Santiago, Hospiceños identify as marginalised citizens, and express a new kind of social norm. Yet Haynes finds that by contrasting their own lived experiences with those of people in metropolitan areas, Hospiceños are strengthening their own sense of community and the sense of normativity that shapes their daily lives. This exciting conclusion is illustrated by the range of social media posts about personal relationships, politics and national citizenship, particularly on Facebook
“[A] dark, elegant novel” of two women in ancient Greece, based on the great tragedies of Sophocles (Publishers Weekly). Thebes is a city in mourning, still reeling from a devastating plague that invaded every home and left the survivors devastated and fearful. This is the Thebes that Jocasta has known her entire life, a city ruled by a king—her husband-to-be. Jocasta struggles through this miserable marriage until she is unexpectedly widowed. Now free to choose her next husband, she selects the handsome, youthful Oedipus. When whispers emerge of an unbearable scandal, the very society that once lent Jocasta its support seems determined to destroy her. Ismene is a girl in mourning, lon...