He followed his head over his gut and Karina was left permanently paralysed, altering both patient and surgeon's lives for ever. This decision would haunt Rahul for decades, a constant reminder of the fine line between saving and damaging a life.As one of the world's leading brain surgeons, Rahul is the last hope for patients with extreme forms of cancer. In treating them, he has observed humanity at its most raw and most robust. He has journeyed to unimaginable extremes with them, guiding them through the darkest moments of their lives.Life on a Knife's Edge is Rahul's beautifully written account of the resilience, courage and belief he has witnessed in his patients, and the lessons about human nature he has learned from them. It is about the impossible choices he has to make, and the fateful consequences he is forced to live with.From challenging the ethics of surgical practices, to helping a patient with locked-in syndrome communicate her dying wish to her family, Rahul shares his extraordinary experiences, revealing the depths of a surgeon's psyche that is continuously pushed to its limits.

    Questioning the beliefs of the world's eminent evolutionists.

    environmental movement that covers the colonial period through 1999. It provides students with a balanced, historical perspective on the history of the environmental movement in relation to major social and political events in U.S. history. The book highlights important people and events, places critical concepts in context, and shows the impact of government, industry, and population on the American landscape. Comprehensive yet brief, First Along the River discusses the religious and philosophical beliefs that shaped Americans' relationship to the environment, traces the origins and development of government regulations that impact Americans' use of natural resources, and shows why popular environmental groups were founded and how they changed over time.

    The book emphasizes a general introduction to probability theory and provides a detailed discussion of specific designs and analyses that are typically encountered in ecology and environmental science. Appropriate for use as either a stand-alone or supplementary text for upper-division undergraduate or graduate courses in ecological and environmental statistics, ecology, environmental science, environmental studies, or experimental design, the Primer also serves as a resource for environmental professionals who need to use and interpret statistics daily but have little or no formal training in the subject.

    The struggle for reconciliation between the contending forces is not an easy one. It cuts deep into the soul and usually leaves scars that ache while life endures. There are thousands of young people in the Church to-day, and hundreds of thousands throughout the world, who are struggling to set themselves right with the God above and the world about them. It is for these young people, primarily, that the following chapters have been written...

    It aims to elevate the lives of people by fostering inner confidence and strengthening their faith. In a turbulent and chaotic world, people are in dire need of words of motivation and inspiration. Vitamin H provides the much needed therapy which will successfully cure the diseases such as negativity, pessimism, cynicism and envy. It will awaken the dreamer within you and help you achieve the seemingly impossible.

    But for those of us who left math behind in high school, the numbers and figures hurled at us as we go about our days can sometimes leave us scratching our heads and feeling as if we’re fumbling through a mathematical minefield. In this eye-opening and extraordinarily accessible book, mathemati­cian Kit Yates illuminates hidden principles that can help us understand and navigate the chaotic and often opaque surfaces of our world. In The Math of Life and Death, Yates takes us on a fascinating tour of everyday situations and grand-scale applications of mathematical concepts, including exponential growth and decay, optimization, statistics and probability, and number systems. Along the way he reveals the mathematical undersides of controversies over DNA testing, medical screening results, and historical events such as the Chernobyl disaster and the Amanda Knox trial. Readers will finish this book with an enlightened perspective on the news, the law, medicine, and history, and will be better equipped to make personal decisions and solve problems with math in mind, whether it’s choosing the shortest checkout line at the grocery store or halting the spread of a deadly disease.

    A child prodigy, Pascal made essential additions to Descartes's work at age sixteen. By age nineteen, he had invented the world's first mechanical calculator. But despite his immense contributions to modern science and mathematical thinking, it is Pascal's wager with God that set him apart from his peers as a man fully engaged with both religious and scientific pursuits.One night in 1654, Pascal had a visit from God, a mystical experience that changed his life. Struggling to explain God's existence to others, Pascal dared to apply his mathematical work to religious faith, playing dice with divinity: he argued for the existence of God, basing his position not on rigorous logical principles as did Aquinas or Anselm of Canterbury, but on outcomes—his famous wager. By applying to the existence of God the same rules that governed the existence and position of the universe itself, Pascal sounded the death knell for medieval "certainties" and paved the way for modern thinking.

    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.

    It tells the story of two parents from different cultural, linguistic, and ethnic-racial backgrounds who joined to raise their two children with their heritage languages outside their native countries. It also tells the children's story and the way they negotiated three cultures and languages and developed a trilingual identity. It sheds light on how parental support contributed to the children's simultaneous acquisition of three languages in an environment where the main input of the two heritage languages came respectively from the father and from the mother. It addresses the challenges and the unique language developmental characteristics of the two children during their trilingual acquisition process.

    Discovered by an 18th century mathematician and preacher, Bayes' rule is a cornerstone of modern probability theory. In this richly illustrated book, intuitive visual representations of real-world examples are used to show how Bayes' rule is actually a form of commonsense reasoning. The tutorial style of writing, combined with a comprehensive glossary, makes this an ideal primer for novices who wish to gain an intuitive understanding of Bayesian analysis. As an aid to understanding, online computer code (in MatLab, Python and R) reproduces key numerical results and diagrams.Stone's book is renowned for its visually engaging style of presentation, which stems from teaching Bayes' rule to psychology students for over 10 years as a university lecturer.

    With case studies and advice for a fitter life, this is an intriguing and thought-provoking book, one which should be read by anyone who cares about their wellbeing.

    In Tammet's world, numbers are beautiful and mathematics illuminates our lives and minds. Using anecdotes, everyday examples, and ruminations on history, literature, and more, Tammet allows us to share his unique insights and delight in the way numbers, fractions, and equations underpin all our lives. Inspired by the complexity of snowflakes, Anne Boleyn's eleven fingers, or his many siblings, Tammet explores questions such as why time seems to speed up as we age, whether there is such a thing as an average person, and how we can make sense of those we love. Thinking In Numbers will change the way you think about math and fire your imagination to see the world with fresh eyes.

    His conception of the universe pervades Christian theology. Knowledge of his thought is necessary to understand Bacon, Galileo, and the modern scientific view of nature, as well as Dante and many passages from Chaucer, Shakespeare, and Milton. Many phrases such as liberal education and theory contrasted with practice originated with this student of Plato and tutor of Alexander the Great.Writing to inform the beginner and stimulate the expert, eminent scholar A. E. Taylor presents a searching analysis of Aristotle's thought, including classification of the sciences; formal logic; theory of knowledge; matter and form; the four causes; God; physics; biology; sensation; ethics; theory of the state; and the fine arts. He also considers Aristotle's provincialism, errors regarding the nervous system and astronomy, and defense of slavery.The Giants of Philosophy is a series of dramatic presentations, in understandable language, of the concerns, questions, interests, and overall world view of history's greatest philosophers. Special emphasis on clear and relevant explanations gives you a new arsenal of insights toward living a better life.

    But this book will help you to do something that humans have only recently understood how to do: to count to regions that no animal has ever reached. By the end of this book you'll be able to count to infinity... and beyond. On our way to infinity we'll discover how the ancient Babylonians used their bodies to count to 60 (which gave us 60 minutes in the hour), how the number zero was only discovered in the 7th century by Indian mathematicians contemplating the void, why in China going into the red meant your numbers had gone negative and why numbers might be our best language for communicating with alien life.But for millennia, contemplating infinity has sent even the greatest minds into a spin. Then at the end of the nineteenth century mathematicians discovered a way to think about infinity that revealed that it is a number that we can count. Not only that. They found that there are an infinite number of infinities, some bigger than others. Just using the finite neurons in your brain and the finite pages in this book, you'll have your mind blown discovering the secret of how to count to infinity.Do something amazing and learn a new skill thanks to the Little Ways to Live a Big Life books!