This is not the same as “doing math.” The latter usually involves the application of formulas, procedures, and symbolic manipulations; mathematical thinking is a powerful way of thinking about things in the world -- logically, analytically, quantitatively, and with precision. It is not a natural way of thinking, but it can be learned. Mathematicians, scientists, and engineers need to “do math,” and it takes many years of college-level education to learn all that is required. Mathematical thinking is valuable to everyone, and can be mastered in about six weeks by anyone who has completed high school mathematics. Mathematical thinking does not have to be about mathematics at all, but parts of mathematics provide the ideal target domain to learn how to think that way, and that is the approach taken by this short but valuable book. The book is written primarily for first and second year students of science, technology, engineering, and mathematics (STEM) at colleges and universities, and for high school students intending to study a STEM subject at university. Many students encounter difficulty going from high school math to college-level mathematics. Even if they did well at math in school, most are knocked off course for a while by the shift in emphasis, from the K-12 focus on mastering procedures to the “mathematical thinking” characteristic of much university mathematics. Though the majority survive the transition, many do not. To help them make the shift, colleges and universities often have a “transition course.” This book could serve as a textbook or a supplementary source for such a course. Because of the widespread applicability of mathematical thinking, however, the book has been kept short and written in an engaging style, to make it accessible to anyone who seeks to extend and improve their analytic thinking skills. Going beyond a basic grasp of analytic thinking that everyone can benefit from, the STEM student who truly masters mathematical thinking will find that college-level mathematics goes from being confusing, frustrating, and at times seemingly impossible, to making sense and being hard but doable. Dr. Keith Devlin is a professional mathematician at Stanford University and the author of 31 previous books and over 80 research papers. His books have earned him many awards, including the Pythagoras Prize, the Carl Sagan Award, and the Joint Policy Board for Mathematics Communications Award. He is known to millions of NPR listeners as “the Math Guy” on Weekend Edition with Scott Simon. He writes a popular monthly blog “Devlin’s Angle” for the Mathematical Association of America, another blog under the name “profkeithdevlin”, and also blogs on various topics for the Huffington Post.

    Their initial optimism is short-lived, however, as the ice field slowly thickens, encasing the ship Endurance in a death-grip, crushing their craft, and marooning 28 men on a polar ice floe.In an epic struggle of man versus the elements, Shackleton leads his team on a harrowing quest for survival over some of the most unforgiving terrain in the world. Icy, tempestuous seas full of gargantuan waves, mountainous glaciers and icebergs, unending brutal cold, and ever-looming starvation are their mortal foes as Shackleton and his men struggle to stay alive.What happened to those brave men forever stands as a testament to their strength of will and the power of human endurance.This is their story, as told by the man who led them.

    He’s a sociopath. And your boss, teacher, and colleague? They may be sociopaths too.We are accustomed to think of sociopaths as violent criminals, but in The Sociopath Next Door, Harvard psychologist Martha Stout reveals that a shocking 4 percent of ordinary people—one in twenty-five—has an often undetected mental disorder, the chief symptom of which is that that person possesses no conscience. He or she has no ability whatsoever to feel shame, guilt, or remorse. One in twenty-five everyday Americans, therefore, is secretly a sociopath. They could be your colleague, your neighbor, even family. And they can do literally anything at all and feel absolutely no guilt. How do we recognize the remorseless? One of their chief characteristics is a kind of glow or charisma that makes sociopaths more charming or interesting than the other people around them. They’re more spontaneous, more intense, more complex, or even sexier than everyone else, making them tricky to identify and leaving us easily seduced. Fundamentally, sociopaths are different because they cannot love. Sociopaths learn early on to show sham emotion, but underneath they are indifferent to others’ suffering. They live to dominate and thrill to win. The fact is, we all almost certainly know at least one or more sociopaths already. Part of the urgency in reading The Sociopath Next Door is the moment when we suddenly recognize that someone we know—someone we worked for, or were involved with, or voted for—is a sociopath. But what do we do with that knowledge? To arm us against the sociopath, Dr. Stout teaches us to question authority, suspect flattery, and beware the pity play. Above all, she writes, when a sociopath is beckoning, do not join the game. It is the ruthless versus the rest of us, and The Sociopath Next Door will show you how to recognize and defeat the devil you know.

    The most fundamental differences are philosophical, and readers of this book will emerge with a clearer understandingof paradoxical-sounding concepts such as infinity, curved space, and imaginary numbers. The first few chapters are about general aspects of mathematical thought. These are followed by discussions of more specific topics, and the book closes with a chapter answering common sociological questionsabout the mathematical community (such as Is it true that mathematicians burn out at the age of 25?) It is the ideal introduction for anyone who wishes to deepen their understanding of mathematics.About the Series: Combining authority with wit, accessibility, and style, Very Short Introductions offer an introduction to some of life's most interesting topics. Written by experts for the newcomer, they demonstrate the finest contemporary thinking about the central problems and issues in hundredsof key topics, from philosophy to Freud, quantum theory to Islam.

    Polya, How to Solve It will show anyone in any field how to think straight. In lucid and appealing prose, Polya reveals how the mathematical method of demonstrating a proof or finding an unknown can be of help in attacking any problem that can be reasoned out--from building a bridge to winning a game of anagrams. Generations of readers have relished Polya's deft--indeed, brilliant--instructions on stripping away irrelevancies and going straight to the heart of the problem.

    In Turing’s Cathedral, George Dyson focuses on a small group of men and women, led by John von Neumann at the Institute for Advanced Study in Princeton, New Jersey, who built one of the first computers to realize Alan Turing’s vision of a Universal Machine. Their work would break the distinction between numbers that mean things and numbers that do things—and our universe would never be the same. Using five kilobytes of memory (the amount allocated to displaying the cursor on a computer desktop of today), they achieved unprecedented success in both weather prediction and nuclear weapons design, while tackling, in their spare time, problems ranging from the evolution of viruses to the evolution of stars. Dyson’s account, both historic and prophetic, sheds important new light on how the digital universe exploded in the aftermath of World War II. The proliferation of both codes and machines was paralleled by two historic developments: the decoding of self-replicating sequences in biology and the invention of the hydrogen bomb. It’s no coincidence that the most destructive and the most constructive of human inventions appeared at exactly the same time.  How did code take over the world? In retracing how Alan Turing’s one-dimensional model became John von Neumann’s two-dimensional implementation, Turing’s Cathedral offers a series of provocative suggestions as to where the digital universe, now fully three-dimensional, may be heading next.

    Known for roles on the small screen such as "never-nude" Tobias Funke on "Arrested Development "and the role of "David" in "Mr. Show With Bob And David, "as well as a hugely successful stand-up routine full of sharp-tongued rants and rages, Cross has carved out his place in American comedy. Whether deflating the pomposity of religious figures, calling out the pathetic symbiosis of pseudo-celebrity and its leaching fandom, or merely pushing the buttons of the way-too-easily offended P.C. left or the caustic, double-standard of the callous (but funnier) right, Cross has something to say about everyone, including his own ridiculous self. Now, for the first time, Cross is weaving his media mockery, celebrity denunciation, religious commentary and sheer madness into book form, revealing the true story behind his almost existential distaste of Jim Belushi ("The Belush"), disclosing the up-to-now unpublished minutes to a meeting of Fox television network executives, and offering up a brutally grotesque run-in with Bill O'Reilly. And as if this wasn't enough for your laughing pleasure in these troubled times, some of the pieces splinter off with additional material being created online in exclusive video and animated web content created solely for the book-a historical first (presumably)! With a mix of personal essays, satirical fiction posing as truth, advice for rich people, information from America's least favorite Rabbi and a top-ten list of top-ten lists, I DRINK FOR A REASON is as unique as the comedian himself, and cannot be missed.

    In this tapestry of poetic and religious scholarship, Graves explores the stories behind the earliest of European deities—the White Goddess of Birth, Love, and Death—who was worshipped under countless titles. He also uncovers the obscure and mysterious power of "pure poetry" and its peculiar and mythic language.

    Whether you're a beginner, and avid student, or an armchair expert, you'll find plenty to stimulate you within this book.--book jacket

    After all, Arlyn had promised her mother she’d go. The problem? Her father's people are myths and legends, and he doesn't even live on Earth. But despite a long journey through the mysterious mists of the Veil, finding him turns out to be the easy part. A dream long-buried After five hundred years, Kai has given up on finding his soulbonded. So when he stumbles across Arlyn after returning from his latest mission and recognizes her as his mate, Kai starts their bond in haste. But he never could have imagined that his bonded is his best friend’s newfound daughter. Whoops. A hidden conspiracy sparked to life Though the sight of Kai makes Arlyn’s heart pound, she isn’t sure she can forgive him for starting their bond without her permission. But her love life is the least of her problems. Her father is an elf lord, and his sudden acknowledgment of a half-human heir reignites the same conspiracy that took him away from her mother in the first place. Now Arlyn and her family must face iron wielding assassins, bigotry, and her newly awakened magical abilities if they hope to come through in one piece. Arlyn thought she would return to Earth after meeting her father. Now she must fight to save the family she never knew she wanted.

    Nobody is perfect. And that includes five of the greatest scientists in history—Charles Darwin, William Thomson (Lord Kelvin), Linus Pauling, Fred Hoyle, and Albert Einstein. But the mistakes that these great luminaries made helped advance science. Indeed, as Mario Livio explains, science thrives on error, advancing when erroneous ideas are disproven.As a young scientist, Einstein tried to conceive of a way to describe the evolution of the universe at large, based on General Relativity—his theory of space, time, and gravity. Unfortunately he fell victim to a misguided notion of aesthetic simplicity. Fred Hoyle was an eminent astrophysicist who ridiculed an emerging theory about the origin of the universe that he dismissively called “The Big Bang.” The name stuck, but Hoyle was dead wrong in his opposition.They, along with Darwin (a blunder in his theory of Natural Selection), Kelvin (a blunder in his calculation of the age of the earth), and Pauling (a blunder in his model for the structure of the DNA molecule), were brilliant men and fascinating human beings. Their blunders were a necessary part of the scientific process. Collectively they helped to dramatically further our knowledge of the evolution of life, the Earth, and the universe.

    But when her brother's love match is thwarted by the impossibly proper Duke of Kerstone, Miranda sets off to convince the duke to champion her brother's cause for love. Unfortunately, he is too proper to consider love a suitable reason for marriage, and too proper not to marry Miranda when they find themselves compromised. Now, Miranda has a second chance for happily-ever-after, if she can uncover her new husband's darkest secret.

    A retired service dog, Trixie was three when Dean and his wife, Gerda, welcomed her into their home. She was superbly trained, but her greatest gifts couldn’t be taught: her keen intelligence, her innate joy, and an uncanny knack for living in the moment. Whether chasing a tennis ball or protecting those she loved, Trixie gave all she had to everything she did, inspiring Dean and Gerda to trust their instincts and recapture a sense of wonder that will remain with them always. Trixie lived fewer than twelve years; in this wide world, she was a little thing. But in every way that mattered, she lived a big life.

            The stories are divided into three sections: The Age of Fable or Stories of Gods and Heroes (first published in 1855); The Age of Chivalry (1858), which contains King Arthur and His Knights, The Mabinogeon, and The Knights of English History; and Legends of Charlemagne or Romance of the Middle Ages (1863). For the Greek myths, Bulfinch drew on Ovid and Virgil, and for the sagas of the north, from Mallet's Northern Antiquities. He provides lively versions of the myths of Zeus and Hera, Venus and Adonis, Daphne and Apollo, and their cohorts on Mount Olympus; the love story of Pygmalion and Galatea; the legends of the Trojan War and the epic wanderings of Ulysses and Aeneas; the joys of Valhalla and the furies of Thor; and the tales of Beowulf and Robin Hood. The tales are eminently readable. As Bulfinch wrote, "Without a knowledge of mythology much of the elegant literature of our own language cannot be understood and appreciated. . . . Our book is an attempt to solve this problem, by telling the stories of mythology in such a manner as to make them a source of amusement."Thomas Bulfinch, in his day job, was a clerk in the Merchant's Bank of Boston, an undemanding position that afforded him ample leisure time in which to pursue his other interests. In addition to serving as secretary of the Boston Society of Natural History, he thoroughly researched the myths and legends and copiously cross-referenced them with literature and art. As such, the myths are an indispensable guide to the cultural values of the nineteenth century; however, it is the vigor of the stories themselves that returns generation after generation to Bulfinch.

    Taking examples from sources as diverse as Plato and Steven Spielberg, author Julian Baggini presents abstract philosophical issues in concrete terms, suggesting possible solutions while encouraging readers to draw their own conclusions: Lively, clever, and thought-provoking, The Pig That Wants to Be Eaten is a portable feast for the mind that is sure to satisfy any intellectual appetite.