Now Pappas has done it again, or rather, has done more
The pages of MORE JOY OF MATHEMATICS spill over with ideas, puzzles, games from all over the world, historic background, exciting graphics and up-to-the-minute math breakthrough. Readers will find plent to enjoy as they discover Pappas' unique easy reading style.
Drawing freely and expertly from Continental and analytic traditions, Richard Bernstein examines a number of debates and controversies exemplified in the works of Gadamer, Habermas, Rorty, and Arendt. He argues that a "new conversation" is emerging about human rationality--a new understanding that emphasizes its practical character and has important ramifications both for thought and action.
The publication of this book is an event in the making. All over the world scientists, psychologists, and philosophers are waiting to read Antonio Damasio's new theory of the nature of consciousness and the construction of the self. A renowned and revered scientist and clinician, Damasio has spent decades following amnesiacs down hospital corridors, waiting for comatose patients to awaken, and devising ingenious research using PET scans to piece together the great puzzle of consciousness. In his bestselling Descartes' Error, Damasio revealed the critical importance of emotion in the making of reason. Building on this foundation, he now shows how consciousness is created. Consciousness is the feeling of what happens-our mind noticing the body's reaction to the world and responding to that experience. Without our bodies there can be no consciousness, which is at heart a mechanism for survival that engages body, emotion, and mind in the glorious spiral of human life. A hymn to the possibilities of human existence, a magnificent work of ingenious science, a gorgeously written book, The Feeling of What Happens is already being hailed as a classic.
Over three hundred years ago, a French scholar scribbled a simple theorem in the margin of a book. It would become the world's most baffling mathematical mystery.
Simple, elegant, and utterly impossible to prove, Fermat's Last Theorem captured the imaginations of amateur and professional mathematicians for over three centuries. For some it became a wonderful passion. For others it was an obsession that led to deceit, intrigue, or insanity. In a volume filled with the clues, red herrings, and suspense of a mystery novel, Dr. Amir Aczel reveals the previously untold story of the people, the history, and the cultures that lie behind this scientific triumph.
From formulas devised for the farmers of ancient Babylonia to the dramatic proof of Fermat's theorem in 1993, this extraordinary work takes us along on an exhilarating intellectual treasure hunt. Revealing the hidden mathematical order of the natural world in everything from stars to sunflowers, "Fermat's Last Theorem" brilliantly combines philosophy and hard science with investigative journalism. The result: a real-life detective story of the intellect, at once intriguing, thought-provoking, and impossible to put down.
Here is an intimate glimpse of the greatest scientist of our day, the brilliant physicist confined to a wheelchair whose A Brief History of Time has become the first worldwide scientific bestseller of the century. The story of Stephen Hawking's relentless quest for the secret of the origins of the universe will change forever the way you look at the stars . . . and your place among them.
Using 100s of fascinating examples, James Burke shows how old established ideas in science and technology often lead to serendipitous and amazing modern discoveries and innovations.
This magnificent collection of essays by scientist and National Book Award-winning writer Lewis Thomas remains startlingly relevant for today's world. Luminous, witty, and provocative, the essays address such topics as "The Attic of the Brain," "Falsity and Failure," "Altruism," and the effects the federal government's virtual abandonment of support for basic scientific research will have on medicine and science.Profoundly and powerfully, Thomas questions the folly of nuclear weaponry, showing that the brainpower and money spent on this endeavor are needed much more urgently for the basic science we have abandoned--and that even medicine's most advanced procedures would be useless or insufficient in the face of the smallest nuclear detonation. And in the title essay, he addresses himself with terrifying poignancy to the question of what it is like to be young in the nuclear age. "If Wordsworth had gone to medical school, he might have produced something very like the essays of Lewis Thomas."--TIME
"No one better exemplifies what modern medicine can be than Lewis Thomas."--The New York Times Book Review
"A wealth of intriguing and lovely ideas." -- Information Technology & Learning.
While the beauty of mathematics is often discussed, the aesthetic appeal of the discipline is seldom demonstrated as clearly as in this intriguing journey into the realms where art and mathematics merge. Aimed at a wide range of ages and abilities, this engrossing book explores the possibilities of mathematical drawing through compass constructions and computer graphics.
Compass construction is an extremely ancient art, requiring no special skills other than the care it takes to place a compass point accurately. For the computer graphics part of the present work, however, readers will need some familiarity with basic high school mathematics-mainly algebra and trigonometry. Still, much of the book can be enjoyed even by "mathophobes," for it is about lines and circles and how to put them together to make various patterns, both abstract and natural.
One hundred and six full-page drawings, ranging from totally abstract to somewhat pictorial, demonstrate the possibilities of mathematical drawing and serve as inspiration to readers to carry out their own creative investigations. Among the illustrations are such intriguing configurationsas a five-point egg, golden ratio, 17-gon, plughole vortex, blancmange curve, Durer's pentagons, pentasnow, turtle geometry, and many more. In guiding students toward the comprehension and creation of such figures, the author explains helpful basic principles (of number, length and angle) as well as reviewing relevant fundamentals of trigonometry. In addition, he has provided numerous useful exercises (with answers} at the ends of the chapters, together with recommended further reading, detailed in the bibliography. 211 black-and-white illustrations. Bibliography. Index.
A metaphorical fugue on minds and machines in the spirit of Lewis Carroll
Douglas Hofstadter's book is concerned directly with the nature of "maps" or links between formal systems. However, according to Hofstadter, the formal system that underlies all mental activity transcends the system that supports it. If life can grow out of the formal chemical substrate of the cell, if consciousness can emerge out of a formal system of firing neurons, then so too will computers attain human intelligence. G del, Escher, Bach is a wonderful exploration of fascinating ideas at the heart of cognitive science: meaning, reduction, recursion, and much more.