Conned Again, Watson: Cautionary Tales Of Logic, Math, And Probability


Colin Bruce - 2000
    In these cautionary tales of greedy gamblers, reckless businessmen, and ruthless con men, Sherlock Holmes uses his deep understanding of probability, statistics, decision theory, and game theory to solve crimes and protect the innocent. But it's not just the characters in these well-crafted stories that are deceived by statistics or fall prey to gambling fallacies. We all suffer from the results of poor decisions. In this illuminating collection, Bruce entertains while teaching us to avoid similar blunders. From "The Execution of Andrews" to "The Case of the Gambling Nobleman," there has never been a more exciting way to learn when to take a calculated risk-and how to spot a scam.

Old School


Tobias Wolff - 2003
    He is an outsider who has learned to mimic the negligent manner of his more privileged classmates. Like many of them, he wants more than anything on earth to become a writer. But to do that he must first learn to tell the truth about himself.The agency of revelation is the school literary contest, whose winner will be awarded an audience with the most legendary writer of his time. As the fever of competition infects the boy and his classmates, fraying alliances, exposing weaknesses, Old School explores the ensuing deceptions and betrayals with an unblinking eye and a bottomless store of empathy. The result is further evidence that Wolff is an authentic American master.

The Elephant in the Classroom: Helping Children Learn and Love Maths


Jo Boaler - 2009
    Techniques and strategies for teachers to use in interesting their pupils in mathematics.

Five Equations That Changed the World


Michael Guillen - 1995
    Michael Guillen, known to millions as the science editor of ABC's Good Morning America, tells the fascinating stories behind five mathematical equations. As a regular contributor to daytime's most popular morning news show and an instructor at Harvard University, Dr. Michael Guillen has earned the respect of millions as a clear and entertaining guide to the exhilarating world of science and mathematics. Now Dr. Guillen unravels the equations that have led to the inventions and events that characterize the modern world, one of which -- Albert Einstein's famous energy equation, E=mc2 -- enabled the creation of the nuclear bomb. Also revealed are the mathematical foundations for the moon landing, airplane travel, the electric generator -- and even life itself. Praised by Publishers Weekly as "a wholly accessible, beautifully written exploration of the potent mathematical imagination," and named a Best Nonfiction Book of 1995, the stories behind The Five Equations That Changed the World, as told by Dr. Guillen, are not only chronicles of science, but also gripping dramas of jealousy, fame, war, and discovery. Dr. Michael Guillen is Instructor of Physics and Mathematics in the Core Curriculum Program at Harvard University.

Gödel, Escher, Bach: An Eternal Golden Braid


Douglas R. Hofstadter - 1979
    However, according to Hofstadter, the formal system that underlies all mental activity transcends the system that supports it. If life can grow out of the formal chemical substrate of the cell, if consciousness can emerge out of a formal system of firing neurons, then so too will computers attain human intelligence. Gödel, Escher, Bach is a wonderful exploration of fascinating ideas at the heart of cognitive science: meaning, reduction, recursion, and much more.

Linear Algebra


Stephen H. Friedberg - 1979
     This top-selling, theorem-proof text presents a careful treatment of the principal topics of linear algebra, and illustrates the power of the subject through a variety of applications. It emphasizes the symbiotic relationship between linear transformations and matrices, but states theorems in the more general infinite-dimensional case where appropriate.

On Formally Undecidable Propositions of Principia Mathematica and Related Systems


Kurt Gödel - 1992
    Kurt Giidel maintained, and offered detailed proof, that in any arithmetic system, even in elementary parts of arithmetic, there are propositions which cannot be proved or disproved within the system. It is thus uncertain that the basic axioms of arithmetic will not give rise to contradictions. The repercussions of this discovery are still being felt and debated in 20th-century mathematics.The present volume reprints the first English translation of Giidel's far-reaching work. Not only does it make the argument more intelligible, but the introduction contributed by Professor R. B. Braithwaite (Cambridge University}, an excellent work of scholarship in its own right, illuminates it by paraphrasing the major part of the argument.This Dover edition thus makes widely available a superb edition of a classic work of original thought, one that will be of profound interest to mathematicians, logicians and anyone interested in the history of attempts to establish axioms that would provide a rigorous basis for all mathematics. Translated by B. Meltzer, University of Edinburgh. Preface. Introduction by R. B. Braithwaite.

The Only Woman in the Room: Why Science Is Still a Boys' Club


Eileen Pollack - 2015
    In the 1970s, Pollack had excelled as one of Yale’s first two women to earn a bachelor of science degree in physics. But, isolated, lacking in confidence, and starved for encouragement, she abandoned her lifelong dream of becoming a theoretical physicist. Years later, she thought back on her experiences and wondered what had changed in the intervening decades, and what challenges remained. Based on six years of interviewing dozens of teachers and students and reviewing studies on gender bias, The Only Woman in the Room is an illuminating exploration of the cultural, social, psychological, and institutional barriers confronting women in the STEM disciplines. Pollack brings to light the struggles that women in the sciences are often hesitant to admit and provides hope that changing attitudes and behaviors can bring more women into fields in which they remain, to this day, seriously underrepresented.Eileen Pollack is the author of the novels Breaking and Entering (a New York Times Editor’s Choice selection) and Paradise, New York, as well as two collections of short fiction, an award-winning book of nonfiction, and two creative-nonfiction textbooks. Her work has appeared in Best American Essays and Best American Short Stories. She is a professor on the faculty of the Helen Zell MFA Program in Creative Writing at the University of Michigan. She divides her time between Manhattan and Ann Arbor, Michigan.

The Frontman


Ron Bahar - 2018
    During his senior year of high school, he begins to date longtime crush and non-Jewish girl Amy Andrews—a forbidden relationship he hides from his parents. But that’s not the only complicated part of Ron’s life: he’s also struggling to choose between his two passions, medicine and music. As time goes on, he becomes entangled in a compelling world of sex, drugs, and rock and roll. Will he do the right thing?A fictionalized memoir of the author’s life as a young man in Lincoln, Nebraska, The Frontman is a coming-of-age tale of love and fidelity.

A Slice of Pi: All the Maths You Forgot to Remember from School


Liz Strachan - 2009
    From the Difference Engine to magic squares and from the Fibonacci rabbits to Fermat's Last Theorem, this book features the weird world of numbers, imaginary, real or infinite.

Imagining Numbers


Barry Mazur - 2002
    This book reveals how anyone can begin to visualize the enigmatic 'imaginary numbers' that first baffled mathematicians in the 16th century.

Book of Proof


Richard Hammack - 2009
    It is a bridge from the computational courses (such as calculus or differential equations) that students typically encounter in their first year of college to a more abstract outlook. It lays a foundation for more theoretical courses such as topology, analysis and abstract algebra. Although it may be more meaningful to the student who has had some calculus, there is really no prerequisite other than a measure of mathematical maturity. Topics include sets, logic, counting, methods of conditional and non-conditional proof, disproof, induction, relations, functions and infinite cardinality.

Mama's Bank Account


Kathryn Forbes - 1943
    This bestselling book inspired the play, motion picture, and television series I Remember Mama.

Naked Statistics: Stripping the Dread from the Data


Charles Wheelan - 2012
    How can we catch schools that cheat on standardized tests? How does Netflix know which movies you’ll like? What is causing the rising incidence of autism? As best-selling author Charles Wheelan shows us in Naked Statistics, the right data and a few well-chosen statistical tools can help us answer these questions and more.For those who slept through Stats 101, this book is a lifesaver. Wheelan strips away the arcane and technical details and focuses on the underlying intuition that drives statistical analysis. He clarifies key concepts such as inference, correlation, and regression analysis, reveals how biased or careless parties can manipulate or misrepresent data, and shows us how brilliant and creative researchers are exploiting the valuable data from natural experiments to tackle thorny questions.And in Wheelan’s trademark style, there’s not a dull page in sight. You’ll encounter clever Schlitz Beer marketers leveraging basic probability, an International Sausage Festival illuminating the tenets of the central limit theorem, and a head-scratching choice from the famous game show Let’s Make a Deal—and you’ll come away with insights each time. With the wit, accessibility, and sheer fun that turned Naked Economics into a bestseller, Wheelan defies the odds yet again by bringing another essential, formerly unglamorous discipline to life.

The Philosophical Breakfast Club: Four Remarkable Friends Who Transformed Science and Changed the World


Laura J. Snyder - 2011
    Snyder exposes the political passions, religious impulses, friendships, rivalries, and love of knowledge—and power—that drove these extraordinary men.  Whewell (who not only invented the word “scientist,” but also founded the fields of crystallography, mathematical economics, and the science of tides), Babbage (a mathematical genius who invented the modern computer), Herschel (who mapped the skies of the Southern Hemisphere and contributed to the invention of photography), and Jones (a curate who shaped the science of economics) were at the vanguard of the modernization of science.  This absorbing narrative of people, science and ideas  chronicles the intellectual revolution inaugurated by these men, one that continues to mold our understanding of the world around us and of our place within it.  Drawing upon the voluminous correspondence between the four men over the fifty years of their work, Laura J. Snyder shows how friendship worked to spur the men on to greater accomplishments, and how it enabled them to transform science and help create the modern world.