Working through the book you will develop an arsenal of techniques to help you unlock the meaning of definitions, theorems and proofs, solve problems, and write mathematics effectively. All the major methods of proof - direct method, cases, induction, contradiction and contrapositive - are featured. Concrete examples are used throughout, and you'll get plenty of practice on topics common to many courses such as divisors, Euclidean algorithms, modular arithmetic, equivalence relations, and injectivity and surjectivity of functions. The material has been tested by real students over many years so all the essentials are covered. With over 300 exercises to help you test your progress, you'll soon learn how to think like a mathematician.

    Before they can reach their destination, the family is stopped by a group of teenage troublemakers led by the fearsome Caden Clark. The confrontation ends in tragedy. Two years later, Ryan and Alexa visit Caden and his family in hopes of exacting their revenge. At the Clarks' house, however, they discover a sinister a secret... Jon Athan, author of The Abuse of Ashley Collins and A Family of Violence, brings you an uncompromising horror-thriller about family and vengeance. WARNING: This book contains scenes of graphic violence. This book is not intended for those easily offended or appalled. Please enjoy at your own discretion.

    The Temptation of Angélique is the third book telling of our heroine's adventures in the New World.Published in 1966 in two parts, its main theme is Angélique's romantic encounter with the renegade Gold Beard and its repercussions - hence the book's title.As with all the other Angélique books, however, there are plenty of other sub-plots to keep the reader guessing.

    

    Steve Olson followed the six 2001 contestants from the intense tryouts to the Olympiad’s nail-biting final rounds to discover not only what drives these extraordinary kids but what makes them both unique and typical. In the process he provides fascinating insights into the science of intelligence and learning and, finally, the nature of genius. Brilliant, but defying all the math-nerd stereotypes, these teens want to excel in whatever piques their curiosity, and they are curious about almost everything — music, games, politics, sports, literature. One team member is ardent about both water polo and creative writing. Another plays four musical instruments. For fun and entertainment during breaks, the Olympians invent games of mind-boggling difficulty. Though driven by the glory of winning this ultimate math contest, they are in many ways not so different from other teenagers, finding pure joy in indulging their personal passions. Beyond the the Olympiad, Olson sheds light on many questions, from why Americans feel so queasy about math, to why so few girls compete in the subject, to whether or not talent is innate. Inside the cavernous gym where the competition takes place, Count Down uncovers a fascinating subculture and its engaging, driven inhabitants.

    Smiling, the palm reader tells Nina that she has a long lifeline, as she traces it on her hand. As soon as the words are uttered, the palm reader's facial expression turns to one of fear. In broken English, she whispers, "Break - very bad break in middle of life. Maybe you die."Nina does come close to death at age thirty-four when she and her family are involved in a serious auto accident. She assumes she has successfully cheated the death that the palm reader prophesied. Unfortunately, the sinister and tragic break in the lifeline and its deliverer are yet to be revealed.

    That is, it is a piece of bad logic. Just as it is a good idea to avoid eating bad food, it is also a rather good idea to avoid bad reasoning. Unfortunately, bad reasoning is all too common—it pours out of the television and infests the web like an army of venomous spiders. Perhaps even worse than the fallacies inflicted from the outside are self-inflicted fallacies. These can lead people to make poor decisions about matters great and small.Fortunately, there is a defense against bad reasoning, namely knowledge. This concise book provides the reader with definitions and examples of seventy-six common fallacies—the knowledge a person needs to defend herself in a world awash in fallacies.In addition to combining the content of my 42 Fallacies and 30 More Fallacies, this book features some revisions as well as a new section on common formal fallacies. The focus is on providing the reader with definitions and examples of these common fallacies rather than being a handbook on winning arguments or a text on general logic.The book presents the following 73 informal fallacies:Accent, Fallacy ofAccident, Fallacy ofAd HominemAd Hominem Tu QuoqueAmphiboly, Fallacy ofAnecdotal Evidence, Fallacy OfAppeal to the Consequences of a BeliefAppeal to Authority, FallaciousAppeal to BeliefAppeal to Common PracticeAppeal to EmotionAppeal to EnvyAppeal to FearAppeal to FlatteryAppeal to Group IdentityAppeal to GuiltAppeal to NoveltyAppeal to PityAppeal to PopularityAppeal to RidiculeAppeal to SpiteAppeal to TraditionAppeal to SilenceAppeal to VanityArgumentum ad HitlerumBegging the QuestionBiased GeneralizationBurden of ProofComplex QuestionComposition, Fallacy ofConfusing Cause and EffectConfusing Explanations and ExcusesCircumstantial Ad HominemCum Hoc, Ergo Propter HocDivision, Fallacy ofEquivocation, Fallacy ofFallacious ExampleFallacy FallacyFalse DilemmaGambler’s FallacyGenetic FallacyGuilt by AssociationHasty GeneralizationHistorian’s FallacyIllicit ConversionIgnoring a Common CauseIncomplete EvidenceMiddle GroundMisleading VividnessMoving the Goal PostsOversimplified CauseOverconfident Inference from Unknown StatisticsPathetic FallacyPeer PressurePersonal AttackPoisoning the WellPositive Ad HominemPost HocProving X, Concluding YPsychologist's fallacyQuestionable CauseRationalizationRed HerringReification, Fallacy ofRelativist FallacySlippery SlopeSpecial PleadingSpotlightStraw ManTexas Sharpshooter FallacyTwo Wrongs Make a RightVictim FallacyWeak AnalogyThe book contains the following three formal (deductive) fallacies:Affirming the ConsequentDenying the AntecedentUndistributed Middle

    As a young woman of great power Taikiuu must choose for herself whether to remain with her village or to trust a foreign traveler with her life and the lives of those she loves. Jon’lan, a trader, falls in love with Taikiuu when they are thrust together by forces beyond their control. They are joined by a former captive who will find the courage to dream of freedom and a wild boy, outcast from his first band, who will choose to no longer walk alone. They are relentlessly pursued by vicious warriors with a thirst for power. Jon’lan and Taikiuu unite with Roark, a jaded warrior, and his wife Star Feather who seek a better future for their newborn son along with the two orphaned children in their care. Yaa, a brave little girl with dreams in her eyes, will follow her brother into an unknown future and do the unthinkable by taking up a weapon in defense of her people. Fearing for their lives, they seek to escape those who would pursue them to the end of the world. This is the sweeping saga of a young woman who would defy tradition and follow her heart while seeking a better life for her people. Driven by the promise of freedom, Taikiuu will sacrifice all that she holds dear in an effort to secure the future of her band.

    It reveals the attraction that has drawn leading mathematicians and amateurs alike to number theory over the course of history.