Mathematics: Its Content, Methods and Meaning


A.D. Aleksandrov - 1963
    . . Nothing less than a major contribution to the scientific culture of this world." — The New York Times Book ReviewThis major survey of mathematics, featuring the work of 18 outstanding Russian mathematicians and including material on both elementary and advanced levels, encompasses 20 prime subject areas in mathematics in terms of their simple origins and their subsequent sophisticated developement. As Professor Morris Kline of New York University noted, "This unique work presents the amazing panorama of mathematics proper. It is the best answer in print to what mathematics contains both on the elementary and advanced levels."Beginning with an overview and analysis of mathematics, the first of three major divisions of the book progresses to an exploration of analytic geometry, algebra, and ordinary differential equations. The second part introduces partial differential equations, along with theories of curves and surfaces, the calculus of variations, and functions of a complex variable. It furthur examines prime numbers, the theory of probability, approximations, and the role of computers in mathematics. The theory of functions of a real variable opens the final section, followed by discussions of linear algebra and nonEuclidian geometry, topology, functional analysis, and groups and other algebraic systems.Thorough, coherent explanations of each topic are further augumented by numerous illustrative figures, and every chapter concludes with a suggested reading list. Formerly issued as a three-volume set, this mathematical masterpiece is now available in a convenient and modestly priced one-volume edition, perfect for study or reference."This is a masterful English translation of a stupendous and formidable mathematical masterpiece . . ." — Social Science

Calculus


Ron Larson - 1999
    It has been widely praised by a generation of users for its solid and effective pedagogy that addresses the needs of a broad range of teaching and learning styles and environments. Each title is just one component in a comprehensive calculus course program that carefully integrates and coordinates print, media, and technology products for successful teaching and learning.

Why Are All the Good Teachers Crazy?


Frank Stepnowski - 2009
    With equal parts humanity, insanity, and profanity, Frank Stepnowski, a twenty year veteran of the academic wars, offers unique insight into a world everybody knows about but very few understand. "Step" as he was re-christened by his students, pulls no punches in the classroom, and takes no prisoners in his writing debut. The title, which comes from a line that the author heard many times throughout his career, is both a confession and a confirmation. "I wanted a book," he explains, "that would make people laugh out loud but also open their eyes to just how insane the teaching profession can get. With that in mind, the book is a riotous success, providing searing insight into the classroom and giving an iconoclastic voice to a profession that often goes unheard. Why Are All the Good teachers Crazy? is a wake up call for some, a rallying cry for others, and an invitation to laugh and learn for everyone.Based on actual events, the vivid imagery, colorful characters, and incendiary dialogue of this nuclear powered novel will take readers on a roller coaster ride that they will be talking about long after the ride is over.

Visual Complex Analysis


Tristan Needham - 1997
    Aimed at undergraduate students in mathematics, physics, and engineering, the book's intuitive explanations, lack ofadvanced prerequisites, and consciously user-friendly prose style will help students to master the subject more readily than was previously possible. The key to this is the book's use of new geometric arguments in place of the standard calculational ones. These geometric arguments are communicatedwith the aid of hundreds of diagrams of a standard seldom encountered in mathematical works. A new approach to a classical topic, this work will be of interest to students in mathematics, physics, and engineering, as well as to professionals in these fields.

Tequila Mockingbird: Cocktails with a Literary Twist


Tim Federle - 2013
    You fought through War and Peace, burned through Fahrenheit 451, and sailed through Moby-Dick. All right, you nearly drowned in Moby-Dick, but you made it to shore—and you deserve a drink!A fun gift for barflies and a terrific treat for book clubs, Tequila Mockingbird is the ultimate cocktail book for the literary obsessed. Featuring 65 delicious drink recipes—paired with wry commentary on history's most beloved novels—the book also includes bar bites, drinking games, and whimsical illustrations throughout.Even if you don't have a B.A. in English, tonight you're gonna drink like you do. Drinks include:- The Pitcher of Dorian Grey Goose- The Last of the Mojitos- Love in the Time of Kahlua- Romeo and Julep- A Rum of One’s Own- Are You There, God? It’s Me, Margarita- Vermouth the Bell Tollsand more!

Infinitesimal: How a Dangerous Mathematical Theory Shaped the Modern World


Amir Alexander - 2014
    With the stroke of a pen the Jesuit fathers banned the doctrine of infinitesimals, announcing that it could never be taught or even mentioned. The concept was deemed dangerous and subversive, a threat to the belief that the world was an orderly place, governed by a strict and unchanging set of rules. If infinitesimals were ever accepted, the Jesuits feared, the entire world would be plunged into chaos.In Infinitesimal, the award-winning historian Amir Alexander exposes the deep-seated reasons behind the rulings of the Jesuits and shows how the doctrine persisted, becoming the foundation of calculus and much of modern mathematics and technology. Indeed, not everyone agreed with the Jesuits. Philosophers, scientists, and mathematicians across Europe embraced infinitesimals as the key to scientific progress, freedom of thought, and a more tolerant society. As Alexander reveals, it wasn't long before the two camps set off on a war that pitted Europe's forces of hierarchy and order against those of pluralism and change.The story takes us from the bloody battlefields of Europe's religious wars and the English Civil War and into the lives of the greatest mathematicians and philosophers of the day, including Galileo and Isaac Newton, Cardinal Bellarmine and Thomas Hobbes, and Christopher Clavius and John Wallis. In Italy, the defeat of the infinitely small signaled an end to that land's reign as the cultural heart of Europe, and in England, the triumph of infinitesimals helped launch the island nation on a course that would make it the world's first modern state.From the imperial cities of Germany to the green hills of Surrey, from the papal palace in Rome to the halls of the Royal Society of London, Alexander demonstrates how a disagreement over a mathematical concept became a contest over the heavens and the earth. The legitimacy of popes and kings, as well as our beliefs in human liberty and progressive science, were at stake-the soul of the modern world hinged on the infinitesimal.

Arguing with Idiots: How to Stop Small Minds and Big Government


Glenn Beck - 2009
    FRIGHTENING. TRUE. It happens to all of us: You're minding your own business, when some idiot informs you that guns are evil, the Prius will save the planet, or the rich have to finally start paying their fair share of taxes. Just go away! you think to yourself -- but they only become more obnoxious. Your heart rate quickens. You start to sweat. You can't get away. Your only hope is...this book. Glenn Beck, author of the #1 New York Times bestsellers An Inconvenient Book and Glenn Beck's Common Sense, has stumbled upon the secret formula to winning arguments against people with big mouths but small minds: knowing the facts. And this book is full of them. The next time your Idiot Friends tell you how gun control prevents gun violence, you'll tell them all about England's handgun ban (see page 53). When they tell you that we should copy the UK's health-care system, you'll recount the horrifying facts you read on page 244. And the next time an idiot tells you that vegetable prices will skyrocket without illegal workers, you'll stop saying "no, they won't" and you'll start saying, "actually, eliminating all illegal labor will cause us to spend just $8 a year more on produce." (See page 139.) Idiots can't be identified through voting records, they can be found only by looking for people who hide behind stereotypes, embrace partisanship, and believe that bumper sticker slogans are a substitute for common sense. If you know someone who fits the bill, then Arguing with Idiots will help you silence them once and for all with the ultimate weapon: the truth.

Eat Less Cottage Cheese and More Ice Cream: Thoughts on Life from Erma Bombeck


Erma Bombeck - 2003
    The result was a classic column full of Bombecks signature wit and warmth. Now the beloved column that has hung on hundreds of refrigerator doors has been cheerily illustrated and designed as a handsome gift book, Eat Less Cottage and More Ice Cream. In it, Bombeck gently reminds us of what is really important in life: If I had my life to live over again I would have waxed less and listened more.I would have cried and laughed less while watching television . . . and more while watching real life.But mostly, given another shot at life, I would seize every minute of it . . . look at it and really see it . . . try it on . . . live it . . . exhaust it . . . and never give that minute back until there was nothing left of it. . . . Long-time fans of Erma Bombeck will be thrilled to have this favorite column in the form of a beautiful keepsake. Readers discovering Bombeck for the first time will become fans instantly. Eat Less Cottage and More Ice Cream offers wisdom to inspire all of us.

Uncle Petros and Goldbach's Conjecture: A Novel of Mathematical Obsession


Apostolos Doxiadis - 1992
    His feverish and singular pursuit of this goal has come to define his life. Now an old man, he is looked on with suspicion and shame by his family-until his ambitious young nephew intervenes.Seeking to understand his uncle's mysterious mind, the narrator of this novel unravels his story, a dramatic tale set against a tableau of brilliant historical figures-among them G. H. Hardy, the self-taught Indian genius Srinivasa Ramanujan, and a young Kurt Gödel. Meanwhile, as Petros recounts his own life's work, a bond is formed between uncle and nephew, pulling each one deeper into mathematical obsession, and risking both of their sanity.

The Unabridged Devil's Dictionary


Ambrose Bierce - 1911
    There, a bore is "a person who talks when you wish him to listen," and happiness is "an agreeable sensation arising from contemplating the misery of another." This is the most comprehensive, authoritative edition ever of Ambrose Bierce’s satiric masterpiece. It renders obsolete all other versions that have appeared in the book’s ninety-year history.A virtual onslaught of acerbic, confrontational wordplay, The Unabridged Devil’s Dictionary offers some 1,600 wickedly clever definitions to the vocabulary of everyday life. Little is sacred and few are safe, for Bierce targets just about any pursuit, from matrimony to immortality, that allows our willful failings and excesses to shine forth.This new edition is based on David E. Schultz and S. T. Joshi’s exhaustive investigation into the book’s writing and publishing history. All of Bierce’s known satiric definitions are here, including previously uncollected, unpublished, and alternative entries. Definitions dropped from previous editions have been restored while nearly two hundred wrongly attributed to Bierce have been excised. For dedicated Bierce readers, an introduction and notes are also included.Ambrose Bierce’s Devil’s Dictionary is a classic that stands alongside the best work of satirists such as Twain, Mencken, and Thurber. This unabridged edition will be celebrated by humor fans and word lovers everywhere.

Getting Even


Woody Allen - 1966
    Getting Even, a collection of his late '60s magazine pieces, offers a look into Allen's bag of shtick, back when it was new. From the supposed memoirs of Hitler's barber: "Then, in January of '45, a plot by several generals to shave Hitler's moustache in his sleep failed when von Stauffenberg, in the darkness of Hitler's bedroom, shaved off one of the Führer's eyebrows instead..." Even tho the idea of writing jokes about old Adolf--or addled rabbis, or Maatjes herring--isn't nearly as fresh as it used to be, Getting Even still delivers plenty of laughs. At his best, Woody can achieve a level of transcendent craziness that no other writer can match. If you're looking for a book to dip into at random, or a gift for someone who's seen Sleeper 13 times, Getting Even is a classic, with 316,000 copies sold to date.

A History of Mathematics


Carl B. Boyer - 1968
    The material is arranged chronologically beginning with archaic origins and covers Egyptian, Mesopotamian, Greek, Chinese, Indian, Arabic and European contributions done to the nineteenth century and present day. There are revised references and bibliographies and revised and expanded chapters on the nineteeth and twentieth centuries.

A Tour of the Calculus


David Berlinski - 1995
    Just how calculus makes these things possible and in doing so finds a correspondence between real numbers and the real world is the subject of this dazzling book by a writer of extraordinary clarity and stylistic brio. Even as he initiates us into the mysteries of real numbers, functions, and limits, Berlinski explores the furthest implications of his subject, revealing how the calculus reconciles the precision of numbers with the fluidity of the changing universe. "An odd and tantalizing book by a writer who takes immense pleasure in this great mathematical tool, and tries to create it in others."--New York Times Book Review

Artificial Intelligence: A Modern Approach


Stuart Russell - 1994
    The long-anticipated revision of this best-selling text offers the most comprehensive, up-to-date introduction to the theory and practice of artificial intelligence. *NEW-Nontechnical learning material-Accompanies each part of the book. *NEW-The Internet as a sample application for intelligent systems-Added in several places including logical agents, planning, and natural language. *NEW-Increased coverage of material - Includes expanded coverage of: default reasoning and truth maintenance systems, including multi-agent/distributed AI and game theory; probabilistic approaches to learning including EM; more detailed descriptions of probabilistic inference algorithms. *NEW-Updated and expanded exercises-75% of the exercises are revised, with 100 new exercises. *NEW-On-line Java software. *Makes it easy for students to do projects on the web using intelligent agents. *A unified, agent-based approach to AI-Organizes the material around the task of building intelligent agents. *Comprehensive, up-to-date coverage-Includes a unified view of the field organized around the rational decision making pa

The Unreasonable Effectiveness of Mathematics in the Natural Sciences


Eugene Paul Wigner - 1959
    In the paper, Wigner observed that the mathematical structure of a physical theory often points the way to further advances in that theory and even to empirical predictions.