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.

    This gorgeous book features clear, entertaining, and enlightening commentary alongside stunning full-color illustrations by Venezuelan artist and architect Rafael Araujo. From the pyramids of Giza, to quasicrystals, to the proportions of the human face, the golden ratio has an infinite capacity to generate shapes with exquisite properties.  With its lush format and layflat dimensions that closely approximate the golden ratio, this is the ultimate coffee table book for math enthusiasts, architects, designers, and fans of sacred geometry.

    Jerry King is no exception. His informal, nontechnical book, as its title implies, is organized around what Bertrand Russell called the 'supreme beauty' of mathematics--a beauty 'capable of a stern perfection such as only the greatest art can show.'NATUREIn this clear, concise, and superbly written volume, mathematics professor and poet Jerry P. King reveals the beauty that is at the heart of mathematics--and he makes that beauty accessible to all readers. Darting wittily from Euclid to Yeats, from Poincare to Rembrandt, from axioms to symphonies, THE ART OF MATHEMATICS explores the difference between real, rational, and complex numbers; analyzes the intellectual underpinnings of pure and applied mathematics; and reveals the fundamental connection between aesthetics and mathematics. King also sheds light on how mathematicians pursue their research and how our educational system perpetuates the damaging divisions between the two cultures.

    New York Times bestselling author Roger Stone lashes out with a blistering indictment, exposing the true history and monumental hypocrisy of the Bushes. In Stone’s usual “go for the jugular” style, this is a no-holds-barred history of the Bush family, comprised of smug, entitled autocrats who both use and hide behind their famous name. They got a long-overdue taste of defeat and public humiliation when Jeb’s 2016 presidential bid went down in flames.Besides detailing the vast litany of Jeb’s misdeeds — including receiving a $4 million taxpayer bailout when his father was vice president as well as his startlingly-close alignment with supposed “enemy” Hillary Clinton — Stone travels back to Bush patriarchs Samuel and Prescott, right on through to presidents George H. W. and George W. Bush to weave an epic story of privilege, greed, corruption, drug profiteering, assassination, and lies. A new preface to this paperback edition features explosive information, including the family’s Machiavellian plan to propel Jeb’s son George Prescott Bush forward as the family’s next political contender.The Bush Crime Family will have readers asking, “Why aren’t these people in prison?”

    He then gave a disastrous speech in Cairo in which he apologized for the United State's alleged misdeeds, bowed to the Saudi King whose government funds Islamic jihad worldwide, and praised the new Islamist government in Turkey after the Turkish-sponsored "Gaza Flotilla" incident. But perhaps the most troubling aspects of his plan to hit the "reset" button with Islam have been his abandonment of Israel as a way of currying favor with Muslim autocracies and his efforts to hamstring our intelligence community by effectively banning the truth about Islam. Now into his second term, it is hard to imagine that the consequences of his actions will not eventually be catastrophic.

    Michael Savage explains the origins of viruses and their impact on the U.S. With new and resurgent diseases resulting from unregulated immigration and a politicized public health system, Michael Savage sees the need for some changes - starting with the President and the Center for Disease Control telling us the truth. Savage makes his case for the government to enforce travel bans, the use of quarantines and the importance of proper border screenings. However, this is not a cure or treatment for any of these diseases. With Zika virus, tuberculosis, hepatitis, Enterovirus 68 and other new disease threats emerging across the U.S., Savage will explain ways to fortify your immune system and defend against these and other diseases. Drawing from his extensive training, Dr. Savage examines the benefits of using specific nutrients to boost the human immune system which, in turn, increases the odds of surviving a viral infection as well as preventing other diseases. Based on his knowledge of the politics of medicine being played by the Obama mandarins and his Ph.D. in Epidemiology and Nutrition from the University of California, Berkley, Dr. Savage presents solid information to protect your health. Whether you want to defend your body against deadly diseases, boost your immunity, or learn more about the government's impact on reemerging and imported diseases, DISEASES WITHOUT BORDERS is your source for informative, helpful, and potentially life-saving advice.

    Following closely behind is y, or gamma, a constant that arises in many mathematical areas yet maintains a profound sense of mystery. In a tantalizing blend of history and mathematics, Julian Havil takes the reader on a journey through logarithms and the harmonic series, the two defining elements of gamma, toward the first account of gamma's place in mathematics. Introduced by the Swiss mathematician Leonhard Euler (1707-1783), who figures prominently in this book, gamma is defined as the limit of the sum of 1 + 1/2 + 1/3 + . . . Up to 1/n, minus the natural logarithm of n--the numerical value being 0.5772156. . . . But unlike its more celebrated colleagues π and e, the exact nature of gamma remains a mystery--we don't even know if gamma can be expressed as a fraction. Among the numerous topics that arise during this historical odyssey into fundamental mathematical ideas are the Prime Number Theorem and the most important open problem in mathematics today--the Riemann Hypothesis (though no proof of either is offered!). Sure to be popular with not only students and instructors but all math aficionados, Gamma takes us through countries, centuries, lives, and works, unfolding along the way the stories of some remarkable mathematics from some remarkable mathematicians.-- "Notices of the American Mathematical Society"

    They'll also find the related analytic geometry much easier. The clear review of algebra and geometry in this edition will make calculus easier for students who wish to strengthen their knowledge in these areas. Updated to meet the emphasis in current courses, this new edition of a popular guide--more than 104,000 copies were bought of the prior edition--includes problems and examples using graphing calculators..

    Too bad. Because medicine isn't an industry, it's practically witchcraft. Despite the growth of big pharma, HMOs, and hospital chains, medicine remains the isolated work of individual doctors—and the system is going broke fast.So why is Andy Kessler—the man who told you outrageous stories of Wall Street analysts gone bad in Wall Street Meat and tales from inside a hedge fund in Running Money—poking around medicine for the next big wave of technology?It's because he smells change coming. Heart attacks, strokes, and cancer are a huge chunk of medical spending, yet there's surprisingly little effort to detect disease before it's life threatening. How lame is that—especially since the technology exists today to create computer-generated maps of your heart and colon?Because it's too expensive—for now. But Silicon Valley has turned computing, telecom, finance, music, and media upside down by taking expensive new technologies and making them ridiculously cheap. So why not the $1.8 trillion health care business, where the easiest way to save money is to stop folks from getting sick in the first place?Join Kessler's bizarre search for the next big breakthrough as he tries to keep from passing out while following cardiologists around, cracks jokes while reading mammograms, and watches twitching mice get injected with radioactive probes. Looking for a breakthrough, Kessler even selflessly pokes, scans, and prods himself.CT scans of your heart will identify problems before you have a heart attack or stroke; a nanochip will search your blood for cancer cells--five years before they grow uncontrollably and kill you; and baby boomers can breathe a little easier because it's all starting to happen now.Your doctor can't be certain what's going on inside your body, but technology will. Embedding the knowledge of doctors in silicon will bring a breakout technology to health care, and we will soon see an end of medicine as we know it.