The second edition of An Introduction to Differentiable Manifolds and Riemannian Geometry, Revised has sold over 6,000 copies since publication in 1986 and this revision will make it even more useful. This is the only book available that is approachable by "beginners" in this subject. It has become an essential introduction to the subject for mathematics students, engineers, physicists, and economists who need to learn how to apply these vital methods. It is also the only book that thoroughly reviews certain areas of advanced calculus that are necessary to understand the subject. Line and surface integrals Divergence and curl of vector fields
The New York Times Book Review Editors' Choice • A poet, a physicist, and a philosopher explored the greatest enigmas in the universe—the nature of free will, the strange fabric of the cosmos, the true limits of the mind—and each in their own way uncovered a revelatory truth about our place in the world “[A] mind-expanding book. . . . Elegantly written.” —The New York Times “A remarkable synthesis of the thoughts, ideas, and discoveries of three of the greatest minds that our species has produced.” —John Banville, The Wall Street Journal Argentine poet Jorge Luis Borges was madly in love when his life was shattered by painful heartbreak. But the breakdown that followed illuminated an incontrovertible truth—that love is necessarily imbued with loss, that the one doesn’t exist without the other. German physicist Werner Heisenberg was fighting with the scientific establishment on the meaning of the quantum realm’s absurdity when he had his own epiphany—that there is no such thing as a complete, perfect description of reality. Prussian philosopher Immanuel Kant pushed the assumptions of human reason to their mind-bending conclusions, but emerged with an idea that crowned a towering philosophical system—that the human mind has fundamental limits, and those limits undergird both our greatest achievements as well as our missteps. Through fiction, science, and philosophy, the work of these three thinkers coalesced around the powerful, haunting fact that there is an irreconcilable difference between reality “out there” and reality as we experience it. Out of this profound truth comes a multitude of galvanizing ideas: the notion of selfhood, free will, and purpose in human life; the roots of morality, aesthetics, and reason; and the origins and nature of the cosmos itself. As each of these thinkers shows, every one of us has a fundamentally incomplete picture of the world. But this is to be expected. Only as mortal, finite beings are we able to experience the world in all its richness and breathtaking majesty. We are stranded in a gulf of vast extremes, between the astronomical and the quantum, an abyss of freedom and absolute determinism, and it is in that center where we must make our home. A soaring and lucid reflection on the lives and work of Borges, Heisenberg, and Kant, The Rigor of Angels movingly demonstrates that the mysteries of our place in the world may always loom over us—not as a threat, but as a reminder of our humble humanity.
This volume provides a full and careful history of what sonata meant and how the word was used from its first appearance as an instrumental title in the sixteenth century to the near end of the thorough-bass practice around 1750. The revised edition includes nearly three hundred new studies, editions, and other pertinent information. Originally published in 1966. A UNC Press Enduring Edition -- UNC Press Enduring Editions use the latest in digital technology to make available again books from our distinguished backlist that were previously out of print. These editions are published unaltered from the original, and are presented in affordable paperback formats, bringing readers both historical and cultural value.
Friedrich Nietzsche, a 19th century German philosopher, conceived of the universe as a living thing and a partner with humanity. He was able to do this, especially by a complete rejection of Plato's philosophy. Similar ideas will not crop up until the major thinkers in quantum mechanics in the 20th century: John Bell and his laboratory apparatus demonstrating "Bell's Inequality," and in the "beables" and "beers" of David Bohm. By using the ideas of Nietzsche, one can see the uses and misuses of Greek philosophy, especially in the paintings of the Northern Renaissance vs the Italian Renaissance; in Rabelais and the Italian Renaissance; and in Romanticism in general. Nietzsche's work likewise provides a critical point of view to reevaluate the work of William Blake, Pieter Bruegel,Hegel, Luther, Denis Diderot, Jean-Jacques Rousseau, Jacques Derrida, Michel Serres, Gilles Deleuze, many of whom were reacting against Platonism without realizing it. Nietzsche puts man at home in the universe in a way no other philosopher has ever done, thus discounting the bleak views of Camus and Sartre and giving a completely new view of existentialism and Christianity. The author gives evidence that most thinkers have completely misunderstood Nietzsche or have not admitted their debt to him.
Points, questions, stories, and occasional rants introduce the 24 chapters of this engaging volume. With a focus on mathematics and peppered with a scattering of computer science settings, the entries range from lightly humorous to curiously thought-provoking. Each chapter includes sections and sub-sections that illustrate and supplement the point at hand. Most topics are self-contained within each chapter, and a solid high school mathematics background is all that is needed to enjoy the discussions. There certainly is much to enjoy here.'CHOICEEver notice how people sometimes use math words inaccurately? Or how sometimes you instinctively know a math statement is false (or not known)?Each chapter of this book makes a point like those above and then illustrates the point by doing some real mathematics through step-by-step mathematical techniques.This book gives readers valuable information about how mathematics and theoretical computer science work, while teaching them some actual mathematics and computer science through examples and exercises. Much of the mathematics could be understood by a bright high school student. The points made can be understood by anyone with an interest in math, from the bright high school student to a Field's medal winner.
Every mathematician should be acquainted with the basic facts about the geometry of surfaces, of two-dimensional manifolds. The theory of three-dimensional manifolds is much more difficult and still only partly understood, although there is ample evidence that the theory of three-dimensional manifolds is one of the most beautiful in the whole of mathematics. This excellent introductory work makes this mathematical wonderland remained rather inaccessible to non-specialists. The author is both a leading researcher, with a formidable geometric intuition, and a gifted expositor. His vivid descriptions of what it might be like to live in this or that three-dimensional manifold bring the subject to life. Like Poincaré, he appeals to intuition, but his enthusiasm is infectious and should make many converts for this kind of mathematics. There are good pictures, plenty of exercises and problems, and the reader will find a selection of topics which are not found in the standard repertoire. This book contains a great deal of interesting mathematics.
Offering unparalleled coverage of infectious diseases in children and adolescents, Feigin & Cherry's Textbook of Pediatric Infectious Diseases 8th Edition, continues to provide the information you need on epidemiology, public health, preventive medicine, clinical manifestations, diagnosis, treatment, and much more. This extensively revised edition by Drs. James Cherry, Gail J. Demmler-Harrison, Sheldon L. Kaplan, William J. Steinbach, and Peter J. Hotez, offers a brand-new full-color design, new color images, new guidelines, and new content, reflecting today's more aggressive infectious and resistant strains as well as emerging and re-emerging diseases - Discusses infectious diseases according to organ system, as well as individually by microorganisms, placing emphasis on the clinical manifestations that may be related to the organism causing the disease. - Provides detailed information regarding the best means to establish a diagnosis, explicit recommendations for therapy, and the most appropriate uses of diagnostic imaging. - Features expanded information on infections in the compromised host; immunomodulating agents and their potential use in the treatment of infectious diseases; and Ebola virus. - Contains hundreds of new color images throughout, as well as new guidelines, new resistance epidemiology, and new Global Health Milestones. - Includes new chapters on Zika virus and Guillain-Barré syndrome. - Expert ConsultTM eBook version included with purchase. This enhanced eBook experience allows you to search all of the text, figures, and references from the book on a variety of devices.
This will help us customize your experience to showcase the most relevant content to your age group
Please select from below
Login
Not registered?
Sign up
Already registered?
Success – Your message will goes here
We'd love to hear from you!
Thank you for visiting our website. Would you like to provide feedback on how we could improve your experience?
This site does not use any third party cookies with one exception — it uses cookies from Google to deliver its services and to analyze traffic.Learn More.