The Unimaginable Mathematics of Borges' Library of Babel


William Goldbloom Bloch - 2008
    Now, in The Unimaginable Mathematics of Borges' Library of Babel, William Goldbloom Bloch takes readers on a fascinating tour of the mathematical ideas hiddenwithin one of the classic works of modern literature.Written in the vein of Douglas R. Hofstadter's Pulitzer Prize-winning G�del, Escher, Bach, this original and imaginative book sheds light on one of Borges' most complex, richly layered works. Bloch begins each chapter with a mathematical idea--combinatorics, topology, geometry, informationtheory--followed by examples and illustrations that put flesh on the theoretical bones. In this way, he provides many fascinating insights into Borges' Library. He explains, for instance, a straightforward way to calculate how many books are in the Library--an easily notated but literallyunimaginable number--and also shows that, if each book were the size of a grain of sand, the entire universe could only hold a fraction of the books in the Library. Indeed, if each book were the size of a proton, our universe would still not be big enough to hold anywhere near all the books.Given Borges' well-known affection for mathematics, this exploration of the story through the eyes of a humanistic mathematician makes a unique and important contribution to the body of Borgesian criticism. Bloch not only illuminates one of the great short stories of modern literature but alsoexposes the reader--including those more inclined to the literary world--to many intriguing and entrancing mathematical ideas.

Mozart's Sister


Nancy Moser - 2000
    Eleven-year-old Nannerl Mozart is performing before the crowned heads of Europe with her younger brother, Wolfgang. But behind the glamour lurk dark difficulties-- the hardship of travel, agonizing bouts of illness, and the constant concern over money. Their father, Leopold, is driven by a desire to bring his son's genius to the attention of the world. But what about Nannerl? Is she not just as talented? In a time where women's choices are limited, what hope does she have of ever realizing her own dreams?

Year of Impossible Goodbyes


Sook Nyul Choi - 1991
    It is 1945, and courageous ten-year-old Sookan and her family must endure the cruelties of the Japanese military occupying Korea.  Police captain Narita does his best to destroy everything of value to the family, but he cannot break their spirit.  Sookan's father is with the resistance movement in Manchuria and her older brothers have been sent away to labor camps.  Her mother is forced to supervise a sock factory and Sookan herself must wear a uniform and attend a Japanese school.Then the war ends.  Out come the colorful Korean silks and bags of white rice.  But Communist Russian troops have taken control of North Korea and once again the family is suppressed.  Sookan and her family know their only hope for freedom lies in a dangerous escape to American-controlled South Korea.Here is the incredible story of one family's love for each other and their determination to risk everything to find freedom.

Surreal Numbers


Donald Ervin Knuth - 1974
    This title is intended for those who might enjoy an engaging dialogue on abstract mathematical ideas, and those who might wish to experience how new mathematics is created.

The Boy Who Harnessed the Wind


William Kamkwamba - 2015
    William began to explore science books in his village library, looking for a solution. There, he came up with the idea that would change his family's life forever: he could build a windmill. Made out of scrap metal and old bicycle parts, William's windmill brought electricity to his home and helped his family pump the water they needed to farm the land. Retold for a younger audience, this exciting memoir shows how, even in a desperate situation, one boy's brilliant idea can light up the world. Complete with photographs, illustrations, and an epilogue that will bring readers up to date on William's story, this is the perfect edition to read and share with the whole family.

The Freedom Writers Diary


Erin Gruwell - 1999
    One day she intercepted a note with an ugly racial caricature, and angrily declared that this was precisely the sort of thing that led to the Holocaust—only to be met by uncomprehending looks. So she and her students, using the treasured books Anne Frank: The Diary of a Young Girl and Zlata’s Diary: A Child’s Life in Sarajevo as their guides, undertook a life-changing, eye-opening, spirit-raising odyssey against intolerance and misunderstanding. They learned to see the parallels in these books to their own lives, recording their thoughts and feelings in diaries and dubbing themselves the “Freedom Writers” in homage to the civil rights activists “The Freedom Riders.”With funds raised by a “Read-a-thon for Tolerance,” they arranged for Miep Gies, the courageous Dutch woman who sheltered the Frank family, to visit them in California, where she declared that Erin Gruwell’s students were “the real heroes.” Their efforts have paid off spectacularly, both in terms of recognition—appearances on “Prime Time Live” and “All Things Considered,” coverage in People magazine, a meeting with U.S. Secretary of Education Richard Riley—and educationally. All 150 Freedom Writers have graduated from high school and are now attending college.With powerful entries from the students’ own diaries and a narrative text by Erin Gruwell, The Freedom Writers Diary is an uplifting, unforgettable example of how hard work, courage, and the spirit of determination changed the lives of a teacher and her students. The authors’ proceeds from this book will be donated to The Tolerance Education Foundation, an organization set up to pay for the Freedom Writers’ college tuition. Erin Gruwell is now a visiting professor at California State University, Long Beach, where some of her students are Freedom Writers.

Linear Algebra and Its Applications [with CD-ROM]


David C. Lay - 1993
    

Calculus


Gilbert Strang - 1991
    The author has a direct style. His book presents detailed and intensive explanations. Many diagrams and key examples are used to aid understanding, as well as the application of calculus to physics and engineering and economics. The text is well organized, and it covers single variable and multivariable calculus in depth. An instructor's manual and student guide are available online at http: //ocw.mit.edu/ans7870/resources/Strang/....

How Not to Be Wrong: The Power of Mathematical Thinking


Jordan Ellenberg - 2014
    In How Not to Be Wrong, Jordan Ellenberg shows us how terribly limiting this view is: Math isn’t confined to abstract incidents that never occur in real life, but rather touches everything we do—the whole world is shot through with it.Math allows us to see the hidden structures underneath the messy and chaotic surface of our world. It’s a science of not being wrong, hammered out by centuries of hard work and argument. Armed with the tools of mathematics, we can see through to the true meaning of information we take for granted: How early should you get to the airport? What does “public opinion” really represent? Why do tall parents have shorter children? Who really won Florida in 2000? And how likely are you, really, to develop cancer?How Not to Be Wrong presents the surprising revelations behind all of these questions and many more, using the mathematician’s method of analyzing life and exposing the hard-won insights of the academic community to the layman—minus the jargon. Ellenberg chases mathematical threads through a vast range of time and space, from the everyday to the cosmic, encountering, among other things, baseball, Reaganomics, daring lottery schemes, Voltaire, the replicability crisis in psychology, Italian Renaissance painting, artificial languages, the development of non-Euclidean geometry, the coming obesity apocalypse, Antonin Scalia’s views on crime and punishment, the psychology of slime molds, what Facebook can and can’t figure out about you, and the existence of God.Ellenberg pulls from history as well as from the latest theoretical developments to provide those not trained in math with the knowledge they need. Math, as Ellenberg says, is “an atomic-powered prosthesis that you attach to your common sense, vastly multiplying its reach and strength.” With the tools of mathematics in hand, you can understand the world in a deeper, more meaningful way. How Not to Be Wrong will show you how.

Thug Notes: A Street-Smart Guide to Classic Literature


Sparky Sweets - 2015
    Inside, you'll find hilarious plot breakdowns and masterful analyses of sixteen of literature's most beloved classics, including: Things Fall Apart, To Kill a Mockingbird, Hamlet, The Catcher in the Rye, Lord of the Flies, Pride and Prejudice, and more!  The series Thug Notes has been featured on BET, PBS, and NPR and has been used in hundreds of classrooms around the world. Whether you’re a student, teacher, or straight-up literary gangster like Dr. Sweets, Thug Notes has got you covered. You'll certainly never look at literature the same way again.www.wisecrack.co/book

Too Bright to Hear Too Loud to See


Juliann Garey - 2012
    The novel intricately weaves together three timelines: the story of Greyson’s travels (Rome, Israel, Santiago, Thailand, Uganda); the progressive unraveling of his own father seen through Greyson’s childhood eyes; and the intricacies and estrangements of his marriage. The entire narrative unfolds in the time it takes him undergo twelve 30-second electroshock treatments in a New York psychiatric ward.

Obsessed: A Memoir of My Life with OCD


Allison Britz - 2017
    She was a dedicated student with tons of extracurricular activities, friends, and loving parents at home.But after awakening from a vivid nightmare in which she was diagnosed with brain cancer, she was convinced the dream had been a warning. Allison believed that she must do something to stop the cancer in her dream from becoming a reality.It started with avoiding sidewalk cracks and quickly grew to counting steps as loudly as possible. Over the following weeks, her brain listed more dangers and fixes. She had to avoid hair dryers, calculators, cell phones, computers, anything green, bananas, oatmeal, and most of her own clothing.Unable to act “normal,” the once-popular Allison became an outcast. Her parents questioned her behavior, leading to explosive fights. When notebook paper, pencils, and most schoolbooks were declared dangerous to her health, her GPA imploded, along with her plans for the future.Finally, she allowed herself to ask for help and was diagnosed with obsessive-compulsive disorder. This brave memoir tracks Allison’s descent and ultimately hopeful climb out of the depths.

The Theory That Would Not Die: How Bayes' Rule Cracked the Enigma Code, Hunted Down Russian Submarines, and Emerged Triumphant from Two Centuries of Controversy


Sharon Bertsch McGrayne - 2011
    To its adherents, it is an elegant statement about learning from experience. To its opponents, it is subjectivity run amok.In the first-ever account of Bayes' rule for general readers, Sharon Bertsch McGrayne explores this controversial theorem and the human obsessions surrounding it. She traces its discovery by an amateur mathematician in the 1740s through its development into roughly its modern form by French scientist Pierre Simon Laplace. She reveals why respected statisticians rendered it professionally taboo for 150 years—at the same time that practitioners relied on it to solve crises involving great uncertainty and scanty information (Alan Turing's role in breaking Germany's Enigma code during World War II), and explains how the advent of off-the-shelf computer technology in the 1980s proved to be a game-changer. Today, Bayes' rule is used everywhere from DNA de-coding to Homeland Security.Drawing on primary source material and interviews with statisticians and other scientists, The Theory That Would Not Die is the riveting account of how a seemingly simple theorem ignited one of the greatest controversies of all time.

The Quantum Universe: Everything That Can Happen Does Happen


Brian Cox - 2011
    Cox and Forshaw's contention? There is no need for quantum mechanics to be viewed this way. There is a lot of mileage in the 'weirdness' of the quantum world, and it often leads to confusion and, frankly, bad science. The Quantum Universe cuts through the Wu Li and asks what observations of the natural world made it necessary, how it was constructed, and why we are confident that, for all its apparent strangeness, it is a good theory.The quantum mechanics of The Quantum Universe provide a concrete model of nature that is comparable in its essence to Newton’s laws of motion, Maxwell’s theory of electricity and magnetism, and Einstein’s theory of relativity.

Losers in Space


John Barnes - 2012
    . . and fame is all that mattersSusan and her friends are celebutantes. Their lives are powered by media awareness, fed by engineered meals, and underscored by cynicism. Everyone has a rating; the more viewers who ID you, the better. So Susan and her almost-boyfriend Derlock cook up a surefire plan: the nine of them will visit a Mars-bound spaceship and stow away. Their survival will be a media sensation, boosting their ratings across the globe. There’s only one problem: Derlock is a sociopath.Breakneck narrative, pointed cultural commentary, warm heart, accurate science, a kickass heroine, and a ticking clock . . . who could ask for more?