This book takes the reader on a journey through the world of college mathematics, focusing on some of the most important concepts and results in the theories of polynomials, linear algebra, real analysis, differential equations, coordinate geometry, trigonometry, elementary number theory, combinatorics, and probability. Preliminary material provides an overview of common methods of proof: argument by contradiction, mathematical induction, pigeonhole principle, ordered sets, and invariants. Each chapter systematically presents a single subject within which problems are clustered in each section according to the specific topic. The exposition is driven by nearly 1300 problems and examples chosen from numerous sources from around the world; many original contributions come from the authors. The source, author, and historical background are cited whenever possible. Complete solutions to all problems are given at the end of the book. This second edition includes new sections on quad ratic polynomials, curves in the plane, quadratic fields, combinatorics of numbers, and graph theory, and added problems or theoretical expansion of sections on polynomials, matrices, abstract algebra, limits of sequences and functions, derivatives and their applications, Stokes' theorem, analytical geometry, combinatorial geometry, and counting strategies. Using the W.L. Putnam Mathematical Competition for undergraduates as an inspiring symbol to build an appropriate math background for graduate studies in pure or applied mathematics, the reader is eased into transitioning from problem-solving at the high school level to the university and beyond, that is, to mathematical research. This work may be used as a study guide for the Putnam exam, as a text for many different problem-solving courses, and as a source of problems for standard courses in undergraduate mathematics. Putnam and Beyond is organized for independent study by undergraduate and gradu ate students, as well as teachers and researchers in the physical sciences who wish to expand their mathematical horizons.

Advancing Digital Humanities moves beyond definition of this dynamic and fast growing field to show how its arguments, analyses, findings and theories are pioneering new directions in the humanities globally.

They love nothing better than sipping free-trade gourmet coffee, leafing through the Sunday New York Times, and listening to David Sedaris on NPR (ideally all at the same time). Apple products, indie music, food co-ops, and vintage T-shirts make them weak in the knees. They believe they’re unique, yet somehow they’re all exactly the same, talking about how they “get” Sarah Silverman’s “subversive” comedy and Wes Anderson’s “droll” films. They’re also down with diversity and up on all the best microbrews, breakfast spots, foreign cinema, and authentic sushi. They’re organic, ironic, and do not own TVs. You know who they are: They’re white people. And they’re here, and you’re gonna have to deal. Fortunately, here’s a book that investigates, explains, and offers advice for finding social success with the Caucasian persuasion. So kick back on your IKEA couch and lose yourself in the ultimate guide to the unbearable whiteness of being. Praise for STUFF WHITE PEOPLE LIKE: “The best of a hilarious Web site: an uncannily accurate catalog of dead-on predilections. The Criterion Collection of classic films? Haircuts with bangs? Expensive fruit juice? ‘Blonde on Blonde’ on the iPod? The author knows who reads The New Yorker and who wears plaid.” –Janet Maslin’s summer picks, CBS.com “The author of "Stuff White People Like" skewers the sacred cows of lefty Caucasian culture, from the Prius to David Sedaris. . . . It gently mocks the habits and pretensions of urbane, educated, left-leaning whites, skewering their passion for Barack Obama and public transportation (as long as it's not a bus), their idle threats to move to Canada, and joy in playing children's games as adults. Kickball, anyone?” –Salon.com “A handy reference guide with which you can check just how white you are. Hint: If you like only documentaries and think your child is gifted, you glow in the dark, buddy.” –NY Daily News

Journey into Discrete Mathematics is designed for use in a first course in mathematical abstraction for early-career undergraduate mathematics majors. The important ideas of discrete mathematics are included—logic, sets, proof writing, relations, counting, number theory, and graph theory—in a manner that promotes development of a mathematical mindset and prepares students for further study. While the treatment is designed to prepare the student reader for the mathematics major, the book remains attractive and appealing to students of computer science and other problem-solving disciplines. The exposition is exquisite and engaging and features detailed descriptions of the thought processes that one might follow to attack the problems of mathematics. The problems are appealing and vary widely in depth and difficulty. Careful design of the book helps the student reader learn to think like a mathematician through the exposition and the problems provided. Several of the core topics, including counting, number theory, and graph theory, are visited twice: once in an introductory manner and then again in a later chapter with more advanced concepts and with a deeper perspective. Owen D. Byer and Deirdre L. Smeltzer are both Professors of Mathematics at Eastern Mennonite University. Kenneth L. Wantz is Professor of Mathematics at Regent University. Collectively the authors have specialized expertise and research publications ranging widely over discrete mathematics and have over fifty semesters of combined experience in teaching this subject.

Cybernetics is often thought of as a grim military or industrial science of control. But as Andrew Pickering reveals in this beguiling book, a much more lively and experimental strain of cybernetics can be traced from the 1940s to the present. The Cybernetic Brain explores a largely forgotten group of British thinkers, including Grey Walter, Ross Ashby, Gregory Bateson, R. D. Laing, Stafford Beer, and Gordon Pask, and their singular work in a dazzling array of fields. Psychiatry, engineering, management, politics, music, architecture, education, tantric yoga, the Beats, and the sixties counterculture all come into play as Pickering follows the history of cybernetics’ impact on the world, from contemporary robotics and complexity theory to the Chilean economy under Salvador Allende. What underpins this fascinating history, Pickering contends, is a shared but unconventional vision of the world as ultimately unknowable, a place where genuine novelty is always emerging. And thus, Pickering avers, the history of cybernetics provides us with an imaginative model of open-ended experimentation in stark opposition to the modern urge to achieve domination over nature and each other.

How statistical data is used, misused, and abused every day to fool us: “A very entertaining book about a very serious problem.” —Robert J. Shiller, winner of the Nobel Prize in Economics and author of Irrational Exuberance Did you know that baseball players whose names begin with “D” are more likely to die young? That Asian Americans are most susceptible to heart attacks on the fourth day of the month? That drinking a full pot of coffee every morning adds years to your life, but one cup a day increases your pancreatic cancer risk? These “facts” have been argued with a straight face by credentialed researchers and backed up with reams of data and convincing statistics. As Nobel Prize–winning economist Ronald Coase cynically observed, “If you torture data long enough, it will confess.” Lying with statistics is a time-honored con. In Standard Deviations, economics professor Gary Smith walks us through the various tricks and traps that people use to back up their own crackpot theories. Sometimes, the unscrupulous deliberately try to mislead us. Other times, the well-intentioned are blissfully unaware of the mischief they are committing. Today, data is so plentiful that researchers spend precious little time distinguishing between good, meaningful indicators and total rubbish. Not only do others use data to fool us, we fool ourselves. Drawing on breakthrough research in behavioral economics and using clear examples, Standard Deviations demystifies the science behind statistics and makes it easy to spot the fraud all around us. “An entertaining primer . . . packed with figures, tables, graphs and ludicrous examples from people who know better (academics, scientists) and those who don’t (political candidates, advertisers).” —Kirkus Reviews (starred review)

Chico Lenoch wonders why his Czech father refuses to contact family left behind the Iron Curtain. After discovering letters revealing the existence of a half-sister, he travels to the Czech Republic to find his forgotten sister and unearth the secrets his father has buried all these years. Chico's quest is complicated by his urgent need for a donor kidney. Might his sister be a candidate?