Understanding Analysis outlines an elementary, one-semester course designed to expose students to the rich rewards inherent in taking a mathematically rigorous approach to the study of functions of a real variable. The aim of a course in real analysis should be to challenge and improve mathematical intuition rather than to verify it. The philosophy of this book is to focus attention on the questions that give analysis its inherent fascination. Does the Cantor set contain any irrat...

How playwrights from Alfred Jarry and Samuel Beckett to Tom Stoppard and Simon McBurney brought the power of mathematics to life on the stageThe discovery of alternate geometries, paradoxes of the infinite, incompleteness, and chaos theory revealed that, despite its reputation for certainty, mathematical truth is not immutable, perfect, or even perfectible. Beginning in the last century, a handful of adventurous playwrights took inspiration from the fractures of mo...

Even before the hit TV show whose name she inspired ever aired, Ms. Abbott was a larger-than-life figure. The teacher who put the “Abbott” in TV’s hit Abbott Elementary is just as serious about education—and caring—as the show is funny. In her classroom, in the hallways, and in her Philadelphia neighborhood, she could do what other teachers couldn’t. But even the legendary Ms. Abbott wasn’t always prepared for the situations she faced, though she was always up to the challenge. Now, Teachi...

Getting certified to teach high school mathematics typically requires completing a course in real analysis. Yet most teachers point out real analysis content bears little resemblance to secondary mathematics and report it does not influence their teaching in any significant way. This textbook is our attempt to change the narrative. It is our belief that analysis can be a meaningful part of a teacher's mathematical education and preparation for teaching. This book is a companion text. It is...

Since 1976 newcomers and natives alike have learned about the rich history of the magnificent place they call home from Colorado: A History of the Centennial State. In this revised edition, co-authors Carl Abbott, Stephen J. Leonard, and Thomas J. Noel incorporate more than a decade of new events, findings, and insights about Colorado in an accessible volume that general readers and students will enjoy.The new edition tells of conflicts, new alliances, and changing ways of...

Since 1976, newcomers and natives alike have learned about the rich history of the magnificent place they call home from Colorado: A History of the Centennial State. In the fifth edition, coauthors Carl Abbott, Stephen J. Leonard, and Thomas J. Noel incorporate recent events, scholarship, and insights about the state in an accessible volume that general readers and students will enjoy.The fifth edition tells of conflicts, shifting alliances, and changing ways of life as Hi...

‘A dime a dozen’ as known in America, is perhaps equal to the English ‘cheap as chips’ but whatever the lingua franca of your choice in this series we hereby submit ‘A Rhyme a Dozen’ as 12 poems on many given subjects that are a well-rounded gathering, maybe even an essential guide, from the knowing pens of classic poets and their beautifully spoken verse to the comfort of your ears.01 - A Rhyme A Dozen - 12 Poems, 12 Poets, 1 Topic - Friendship - An Introduction02 - Mock P...

The discipline of sociology was born-and has been recurrently reconstituted-in response to the fragmentation of ideas about the social world. For two centuries, sociologists have sought refuge in "synthesis:" programs designed to integrate multiple perspectives within a unifying framework. Yet even as this cause has inspired many of the discipline's major thinkers, past and present, its objective has proven elusive, leaving nearly as many syntheses as synthesizers. This volume considers an...

Looking for a head start in your undergraduate degree in mathematics? Maybe you've already started your degree and feel bewildered by the subject you previously loved? Don't panic! This friendly companion will ease your transition to real mathematical thinking. Working through the book you will develop an arsenal of techniques to help you unlock the meaning of definitions, theorems and proofs, solve problems, and write mathematics effectively. All the major methods of proof - direct method...

Foucault - The Key Ideas is a concise introduction to the life, works and ideas of this ground-breaking modern philosopher. This book will not only guide you through the events of Foucault's life and help you to understand his most complex ideas with ease; it will also demonstrate the practical impact of those ideas on life today. Covering everything from Foucault's views on the philosophy and sociology of knowledge to his analysis of power and institutions in society, this book offers a f...

This book gives a clear and readable overview of the philosophical work of Jürgen Habermas, the most influential German philosopher alive today, who has commented widely on subjects such as Marxism, the importance and effectiveness of communication, the reunification of Germany, and the European Union. Gordon Finlayson provides readers with a clear and readable overview of Habermas's forbiddingly complex philosophy using concrete examples and accessible language. He then goes on to analyse...

A consistent best-seller, the wide-ranging and authoritative Dictionary of Sociology was first published in 1994 and contains more than 2,500 entries on the terminology, methods, concepts, and thinkers in the field, as well as from the related fields of psychology, economics, anthropology, philosophy, and political science. For this fourth edition, Professor John Scott has conducted a thorough review of all entries to ensure that they are concise, focused, and up to date. Revision...