His Incompleteness Theorem turned not only mathematics but also the whole world of science and philosophy on its head. Equally legendary were Gö's eccentricities, his close friendship with Albert Einstein, and his paranoid fear of germs that eventually led to his death from self-starvation. Now, in the first popular biography of this strange and brilliant thinker, John Casti and Werner DePauli bring the legend to life. After describing his childhood in the Moravian capital of Brno, the authors trace the arc of Gö's remarkable career, from the famed Vienna Circle, where philosophers and scientists debated notions of truth, to the Institute for Advanced Study in Princeton, New Jersey, where he lived and worked until his death in 1978. In the process, they shed light on Gö's contributions to mathematics, philosophy, computer science, artificial intelligence -- even cosmology -- in an entertaining and accessible way.

    Warren Andiman, an HIV/AIDS researcher who has been on the front lines battling infectious diseases for over forty years. In Animal Viruses and Humans: A Narrow Divide, Andiman traces the history of eight zoonotic viruses —deadly microbes that have made the leap directly from animals to human populations: Middle East Respiratory Syndrome (MERS), Swine influenza, Hantavirus, Monkeypox, Severe Acute Respiratory Syndrome (SARS), Rabies, Ebola, and Henipaviruses (Nipah and Hendra). He also illustrates the labor intensive and fascinating detective work that infectious disease specialists must do to uncover the source of an outbreak.Andiman also looks to the future, envisioning the effects on zoonoses (diseases caused by zoonotic viruses) of climate change, microenvironmental damage, population shifts, and globalization. He reveals the steps that we can, and must, take to stem the spread of animal viruses, explaining, “The zoonoses I've chosen to write about . . . are meant to describe only a small sample of what is already out there but, more menacingly, what is inevitably on its way, in forms we can only imagine.” Warren Andiman, MD is professor emeritus of pediatrics and epidemiology at the Yale Schools of Medicine and Public Health.

    Offering inspiration and intellectual delight, the problems throughout the book encourage students to express their ideas in writing to explain how they conceive problems, what conjectures they make, and what conclusions they reach. Applying specific techniques and strategies, readers will acquire a solid understanding of the fundamental concepts and ideas of number theory.

    

    The Clay Mathematics Institute is offering a prize of $1 million to anyone who can discover a general solution to the problem. In this book, Avner Ash and Robert Gross guide readers through the mathematics they need to understand this captivating problem.The key to the conjecture lies in elliptic curves, which are cubic equations in two variables. These equations may appear simple, yet they arise from some very deep--and often very mystifying--mathematical ideas. Using only basic algebra and calculus while presenting numerous eye-opening examples, Ash and Gross make these ideas accessible to general readers, and in the process venture to the very frontiers of modern mathematics. Along the way, they give an informative and entertaining introduction to some of the most profound discoveries of the last three centuries in algebraic geometry, abstract algebra, and number theory. They demonstrate how mathematics grows more abstract to tackle ever more challenging problems, and how each new generation of mathematicians builds on the accomplishments of those who preceded them. Ash and Gross fully explain how the Birch and Swinnerton-Dyer Conjecture sheds light on the number theory of elliptic curves, and how it provides a beautiful and startling connection between two very different objects arising from an elliptic curve, one based on calculus, the other on algebra.

    In Evolution Impossible, Dr. John Ashton uses discoveries in genetics, biochemistry, geology, radiometric dating, and other scientific disciplines to explain why the theory of evolution is a myth. Regardless of your level of scientific education, you will finish this book able to cite 12 reasons why evolution cannot explain the origin of life.

    His work won him the Nobel Prize in 1922 and his ideas continue to propel physics towards new discoveries. But what is quantum theory? Most of us do not understand even the basics of one of the most significant scientific advances ever made, opening up a whole new field in science, whose ambiguities still challenge scientists around the world.Bohr and Quantum Theory offers an accessible and absorbing account of the man who was both a part of The Manhattan Project but also an advocate of peace.He held the key to understanding such intricate realities as black holes and nuclear energy. Bohr's Big Idea explains complex and crucial ideas in a clear and engaging way, placing quantum theory in the context of a man's life, work and time and examining its important implications for our future.The Big Idea series is a fascinating look at the greatest advances in our scientific history, and at the men and women who made these fundamental breakthroughs.

    It encompasses lucid descriptions of behaviour, evolutionary history, development, proximate mechanisms and applications.

    The Fourth Edition builds on this strength with new examples, additional applications and increased cryptology coverage. Up-to-date information on the latest discoveries is included.Elementary Number Theory and Its Applications provides a diverse group of exercises, including basic exercises designed to help students develop skills, challenging exercises and computer projects. In addition to years of use and professor feedback, the fourth edition of this text has been thoroughly accuracy checked to ensure the quality of the mathematical content and the exercises.

    It is one of many awe-inspiring, magical processes that have evolved among the fungi, yet this group remains the least studied and most poorly understood kingdom of organisms. In Mushroom, NicholasMoney offers a vibrant introduction to the world of mushrooms, investigating the science behind these organisms as well as their enduring cultural and imaginative appeal. Beginning with the basics of mushroom biology, Money leads us through a history of mushroom research, painting portraits of thecolorful characters involved in their study--among them, Beatrix Potter, the celebrated author and creator of Peter Rabbit, and Captain Charles McIlvaine, a Civil War veteran who engaged in a dangerous quest to determine the edibility of every mushroom in North America. Money also discusses the usesof mushrooms today, exploring their importance as food and medicine, their use as recreational drugs, and as the cause of horrific poisonings. A cultural, natural, and scientific history in one, Mushroom is a must-read for mycophiles, mushroom gatherers, and nature lovers alike.

    This ideal guide shows us how mathematics can illuminate the human condition.

    Her twenty- five-year career conducting experiments that involve rats has led her to a surprising conclusion: Through their adaptive strategies and good habits, these unassuming little animals can teach us some essential lessons about how we, as humans, can lead successful lives. From emotional resilience and a strong work ethic to effective parenting and staying healthy, the lab rat is an unlikely but powerful role model for us all. This is a surprising and engaging guided tour into the sophisticated mental, emotional, and behavioral worlds of these frequently maligned and often misunderstood little creatures.

    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.

    Although molecular topics are presented first, instructors can assign the chapters in any sequence. Pedagogical features such as chapter-opening “Key Questions” and strategically placed “Keynotes” help readers to efficiently master genetic concepts. The Genetics Place Companion Website contains interactive iActivities and narrated animations that help readers visualize and understand processes and concepts that are illustrated in the book. Genetics: An Introduction, DNA: The Genetic Material, DNA Replication, Gene Control of Proteins, Gene Expression: Transcription,Gene Expression: Translation, DNA Mutation, DNA Repair, and Transposable Elements, Structural Genomics, Functional and Comparative Genomics, Recombinant DNA Technology, Mendelian Genetics, Chromosomal Basis of Inheritance, Extensions of and Deviations from Mendelian Genetic Principles, Genetic Mapping in Eukaryotes, Genetics of Bacteria and Bacteriophages, Variations in Chromosome Structure and Number, Regulation of Gene Expression in Bacteria and Bacteriophages, Regulation of Gene Expression in Eukaryotes, Genetic Analysis of Development, Genetics of Cancer, Quantitative Genetics, Population Genetics, Molecular Evolution Intended for those interested in learning the basics of genetics

    A lecture class taught by Wittgenstein, however, hardly resembled a lecture. He sat on a chair in the middle of the room, with some of the class sitting in chairs, some on the floor. He never used notes. He paused frequently, sometimes for several minutes, while he puzzled out a problem. He often asked his listeners questions and reacted to their replies. Many meetings were largely conversation. These lectures were attended by, among others, D. A. T. Gasking, J. N. Findlay, Stephen Toulmin, Alan Turing, G. H. von Wright, R. G. Bosanquet, Norman Malcolm, Rush Rhees, and Yorick Smythies. Notes taken by these last four are the basis for the thirty-one lectures in this book. The lectures covered such topics as the nature of mathematics, the distinctions between mathematical and everyday languages, the truth of mathematical propositions, consistency and contradiction in formal systems, the logicism of Frege and Russell, Platonism, identity, negation, and necessary truth. The mathematical examples used are nearly always elementary.