Charged under an obscure blasphemy law in a small New Jersey town in 1919, Vijay Sahni is challenged by a skeptical judge to defend his belief that the certainty of mathematics can be extended to all human knowledge--including religion. Together, the two men discover the power--and the fallibility--of what has long been considered the pinnacle of human certainty, Euclidean geometry.As grandfather and grandson struggle with the question of whether there can ever be absolute certainty in mathematics or life, they are forced to reconsider their fundamental beliefs and choices. Their stories hinge on their explorations of parallel developments in the study of geometry and infinity--and the mathematics throughout is as rigorous and fascinating as the narrative and characters are compelling and complex. Moving and enlightening, A Certain Ambiguity is a story about what it means to face the extent--and the limits--of human knowledge.

    Early beginnings in antiquity, medieval contributions, and a century of anticipation lead up to a consideration of Newton and Leibniz, the period of indecison that followed them, and the final rigorous formulation that we know today.

    You may find it for free on the web. Purchase of the Kindle edition includes wireless delivery.

    Far from the thankless, pointless exercises they are often thought to be, mathematics and logic are indispensable guides to ridding ourselves of dominant opinions and making possible an access to truths, or to a human experience of the utmost value. That is why mathematics may well be the shortest path to the true life, which, when it exists, is characterized by an incomparable happiness.

    “I smoked in my twenties. I preferred red wine to sparkling water. I ate too much milk chocolate. I liked limericks. I know all the wrong I’ve done. But also, more than any of that, I’ve always longed for children.” Yet there she was: successful, social, mostly happy, and not a mother. Knowing that her chances of becoming pregnant naturally were quickly fading, Finn decided to gamble: she—like some 85,000 other women in the U.S. each year—would attempt in vitro fertilization. Almost three years later, she’s still trying, and in the process has become an accidental pioneer (and, at times, a guinea pig) in the ever-evolving science of IVF.“The Baby Chase” is a primer for anyone contemplating or undergoing IVF. More than that, it’s a story of longing, hope—and hormones—that will appeal to all parents, present and future.Finn’s engaging and honest account sheds light on a subject that few people who undergo IFV are willing to talk about: what happens when the science doesn’t work. “Usually, it’s only the people who come out on the other side, beaming, with a baby on one hip, who speak up about IVF,” she writes. “We never hear from those IVF has failed - it’s too crushing to talk about. We don’t hear from men and women in the middle of treatment, either.... People like me.”

    KEY TOPICS: A combination of instruction and exercises shows them how to use critical thinking to become active learners rather than passive recipients of information, more fully appreciate the power of the discipline they are studying, to see its connections to other fields and to their day-to-day lives, and to maintain an overview of the field so they can see the parts in terms of the whole . The model of critical thinking (used throughout the book) is in terms of the elements of reasoning, standards, and critical thinking processes. This model is well-suited to thinking through any problem or question. The 4th edition reflects streamlined writing, with changes and substantial edits on virtually every page. MARKET: For Freshman Orientation or Critical Thinking courses as well as a supplementary text for use in any subject-matter at any educational level.

    But the historic landfall of October 1492 was only a secondary event of the year. The preceding January, they had accepted the surrender of Muslim Granada, ending centuries of Islamic rule in their peninsula. And later that year, they had ordered the expulsion or forced baptism of Spain's Jewish minority, a cruel crusade undertaken in an excess of zeal for their Catholic faith. Europe, in the century of Ferdinand and Isabella, was also awakening to the glories of a new age, the Renaissance, and the Spain of the "Catholic Kings" - as Ferdinand and Isabella came to be known - was not untouched by this brilliant revival of learning. Here, from the noted historian Malveena McKendrick, is their remarkable story.

    In this heartfelt and passionate book, Frenkel shows that mathematics, far from occupying a specialist niche, goes to the heart of all matter, uniting us across cultures, time, and space.Love and Math tells two intertwined stories: of the wonders of mathematics and of one young man’s journey learning and living it. Having braved a discriminatory educational system to become one of the twenty-first century’s leading mathematicians, Frenkel now works on one of the biggest ideas to come out of math in the last 50 years: the Langlands Program. Considered by many to be a Grand Unified Theory of mathematics, the Langlands Program enables researchers to translate findings from one field to another so that they can solve problems, such as Fermat’s last theorem, that had seemed intractable before.At its core, Love and Math is a story about accessing a new way of thinking, which can enrich our lives and empower us to better understand the world and our place in it. It is an invitation to discover the magic hidden universe of mathematics.

    The algorithms you'll use most often as a programmer have already been discovered, tested, and proven. If you want to take a hard pass on Knuth's brilliant but impenetrable theories and the dense multi-page proofs you'll find in most textbooks, this is the book for you. This fully-illustrated and engaging guide makes it easy for you to learn how to use algorithms effectively in your own programs.Grokking Algorithms is a disarming take on a core computer science topic. In it, you'll learn how to apply common algorithms to the practical problems you face in day-to-day life as a programmer. You'll start with problems like sorting and searching. As you build up your skills in thinking algorithmically, you'll tackle more complex concerns such as data compression or artificial intelligence. Whether you're writing business software, video games, mobile apps, or system utilities, you'll learn algorithmic techniques for solving problems that you thought were out of your grasp. For example, you'll be able to:Write a spell checker using graph algorithmsUnderstand how data compression works using Huffman codingIdentify problems that take too long to solve with naive algorithms, and attack them with algorithms that give you an approximate answer insteadEach carefully-presented example includes helpful diagrams and fully-annotated code samples in Python. By the end of this book, you will know some of the most widely applicable algorithms as well as how and when to use them.

    With more than 350,000 words, phrases, and senses, hundreds of explanatory notes, and more than a thousand illustrations, this dictionary provides themost comprehensive and accurate coverage of American English available.The dictionary draws on the two-billion-word Oxford English Corpus and the unrivaled citation files of the world-renowned Oxford English Dictionary to provide the most accurate and richly descriptive picture of American English ever offered in any dictionary. The Third Edition offers a thoroughlyupdated text, with revisions throughout and approximately 2,000 new words, phrases, and meanings. Many new words relate to fast-moving areas such as computing, technology, current affairs, and ecology, while others have recently entered the popular lexicon. Usage notes have been updated in light ofthe most recent Corpus evidence, and a completely new in-text feature on Word Trends charts usage for rapidly changing words and phrases such as carbon, mobile, or tweet. In addition, the volume has an attractive, modern new text design that makes entries easier to read and find.One of the hallmarks of the New Oxford American Dictionary is the way it reflects the living language. Unlike in more traditional dictionaries, where meanings are ordered chronologically according to the history of the language, each entry plainly shows the principal meaning or meanings of the word, organized by importance in today's English. Thus readers can be confident that the first definition they see is the one most likely to be used by people today, and is not a sense that has been obsolete for two centuries.Offering clear, authoritative, and precise information, with the in-depth and up-to-date coverage that users need and expect, the New Oxford American Dictionary is the benchmark by which all other American dictionaries are measured.

    From the classroom to the courtroom and from financial markets to supermarkets, Mlodinow's intriguing and illuminating look at how randomness, chance, and probability affect our daily lives will intrigue, awe, and inspire.

    Using playing cards, a newspaper, the back of an envelope, a Sudoku, some pennies and of course a pair of socks, Rob Eastaway shows how maths can demonstrate its secret beauties in even the most mundane of everyday objects. Among the many fascinating curiosities in these pages, you will discover the strange link between limericks and rabbits, an apparently 'fair' coin game where the odds are massively in your favour, why tourist boards can't agree on where the centre of Britain is, and how simple paper folding can lead to a Jurassic Park monster. With plenty of ideas you'll want to test out for yourself, this engaging and refreshing look at mathematics is for everyone.

    That they exist, Simon Singh reveals, underscores the brilliance of the shows' writers, many of whom have advanced degrees in mathematics in addition to their unparalleled sense of humor. While recounting memorable episodes such as “Bart the Genius” and “Homer3,” Singh weaves in mathematical stories that explore everything from p to Mersenne primes, Euler's equation to the unsolved riddle of P v. NP; from perfect numbers to narcissistic numbers, infinity to even bigger infinities, and much more. Along the way, Singh meets members of The Simpsons' brilliant writing team-among them David X. Cohen, Al Jean, Jeff Westbrook, and Mike Reiss-whose love of arcane mathematics becomes clear as they reveal the stories behind the episodes. With wit and clarity, displaying a true fan's zeal, and replete with images from the shows, photographs of the writers, and diagrams and proofs, The Simpsons and Their Mathematical Secrets offers an entirely new insight into the most successful show in television history.

    Now William Dunham gives them the attention they deserve.Dunham places each theorem within its historical context and explores the very human and often turbulent life of the creator — from Archimedes, the absentminded theoretician whose absorption in his work often precluded eating or bathing, to Gerolamo Cardano, the sixteenth-century mathematician whose accomplishments flourished despite a bizarre array of misadventures, to the paranoid genius of modern times, Georg Cantor. He also provides step-by-step proofs for the theorems, each easily accessible to readers with no more than a knowledge of high school mathematics.A rare combination of the historical, biographical, and mathematical, Journey Through Genius is a fascinating introduction to a neglected field of human creativity.

    A more plausible explanation would have been that she died from a drug overdose. A review of the medical examiner's report revealed that the Fisher family refused to give permission for an autopsy and toxicology tests to be done. Constrained by these limitations, the coroner labeled the manner of death "undetermined".FORENSICS: The Science behind the Deaths of Famous People is an analysis and description of how coroners determine the cause and manner of death. An investigation of twenty-three deaths of famous people was conducted based on a review of publicly available autopsy and toxicology reports, as well as published scientific and lay articles. Drug use was implicated in 70 percent of the deaths. Four celebrity deaths were the result of suicide or homicide. Four others were from natural causes.