Download or read book Infinitesimal Differences written by Ursula Goldenbaum and published by Walter de Gruyter. This book was released on 2008-11-03 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: The essays offer a unified and comprehensive view of 17th century mathematical and metaphysical disputes over status of infinitesimals, particularly the question whether they were real or mere fictions. Leibniz's development of the calculus and his understanding of its metaphysical foundation are taken as both a point of departure and a frame of reference for the 17th century discussions of infinitesimals, that involved Hobbes, Wallis, Newton, Bernoulli, Hermann, and Nieuwentijt. Although the calculus was undoubtedly successful in mathematical practice, it remained controversial because its procedures seemed to lack an adequate metaphysical or methodological justification. The topic is also of philosophical interest, because Leibniz freely employed the language of infinitesimal quantities in the foundations of his dynamics and theory of forces. Thus, philosophical disputes over the Leibnizian science of bodies naturally involve questions about the nature of infinitesimals. The volume also includes newly discovered Leibnizian marginalia in the mathematical writings of Hobbes.
Download or read book A Primer of Infinitesimal Analysis written by John L. Bell and published by Cambridge University Press. This book was released on 2008-04-07 with total page 7 pages. Available in PDF, EPUB and Kindle. Book excerpt: A rigorous, axiomatically formulated presentation of the 'zero-square', or 'nilpotent' infinitesimal.
Download or read book Elements of the Mathematical Theory of Limits written by John Gaston Leathem and published by . This book was released on 1925 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Berkeley s Philosophy of Mathematics written by Douglas M. Jesseph and published by University of Chicago Press. This book was released on 2010-12-15 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this first modern, critical assessment of the place of mathematics in Berkeley's philosophy and Berkeley's place in the history of mathematics, Douglas M. Jesseph provides a bold reinterpretation of Berkeley's work. Jesseph challenges the prevailing view that Berkeley's mathematical writings are peripheral to his philosophy and argues that mathematics is in fact central to his thought, developing out of his critique of abstraction. Jesseph's argument situates Berkeley's ideas within the larger historical and intellectual context of the Scientific Revolution. Jesseph begins with Berkeley's radical opposition to the received view of mathematics in the philosophy of the late seventeenth and early eighteenth centuries, when mathematics was considered a "science of abstractions." Since this view seriously conflicted with Berkeley's critique of abstract ideas, Jesseph contends that he was forced to come up with a nonabstract philosophy of mathematics. Jesseph examines Berkeley's unique treatments of geometry and arithmetic and his famous critique of the calculus in The Analyst. By putting Berkeley's mathematical writings in the perspective of his larger philosophical project and examining their impact on eighteenth-century British mathematics, Jesseph makes a major contribution to philosophy and to the history and philosophy of science.
Download or read book Elements of the Differential and Integral Calculus written by Catherinus Putnam Buckingham and published by . This book was released on 1880 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Problem of the Earth s Shape from Newton to Clairaut written by John L. Greenberg and published by Cambridge University Press. This book was released on 1995-07-28 with total page 808 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book investigates, through the problem of the earth's shape, part of the development of post-Newtonian mechanics by the Parisian scientific community during the first half of the eighteenth century. In the Principia Newton first raised the question of the earth's shape. John Greenberg shows how continental scholars outside France influenced efforts in Paris to solve the problem, and he also demonstrates that Parisian scholars, including Bouguer and Fontaine, did work that Alexis-Claude Clairaut used in developing his mature theory of the earth's shape. The evolution of Parisian mechanics proved not to be the replacement of a Cartesian paradigm by a Newtonian one, a replacement that might be expected from Thomas Kuhn's formulations about scientific revolutions, but a complex process instead involving many areas of research and contributions of different kinds from the entire scientific world. Greenberg both explores the myriad of technical problems that underlie the historical development of part of post-Newtonian mechanics, which have only been rarely analyzed by Western scholars, and embeds his technical discussion in a framework that involves social and institutional history politics, and biography. Instead of focusing exclusively on the historiographical problem, Greenberg shows as well that international scientific communication was as much a vital part of the scientific progress of individual nations during the first half of the eighteenth century as it is today.
Download or read book Einstein Gravity in a Nutshell written by A. Zee and published by Princeton University Press. This book was released on 2013-05-05 with total page 888 pages. Available in PDF, EPUB and Kindle. Book excerpt: An ideal introduction to Einstein's general theory of relativity This unique textbook provides an accessible introduction to Einstein's general theory of relativity, a subject of breathtaking beauty and supreme importance in physics. With his trademark blend of wit and incisiveness, A. Zee guides readers from the fundamentals of Newtonian mechanics to the most exciting frontiers of research today, including de Sitter and anti-de Sitter spacetimes, Kaluza-Klein theory, and brane worlds. Unlike other books on Einstein gravity, this book emphasizes the action principle and group theory as guides in constructing physical theories. Zee treats various topics in a spiral style that is easy on beginners, and includes anecdotes from the history of physics that will appeal to students and experts alike. He takes a friendly approach to the required mathematics, yet does not shy away from more advanced mathematical topics such as differential forms. The extensive discussion of black holes includes rotating and extremal black holes and Hawking radiation. The ideal textbook for undergraduate and graduate students, Einstein Gravity in a Nutshell also provides an essential resource for professional physicists and is accessible to anyone familiar with classical mechanics and electromagnetism. It features numerous exercises as well as detailed appendices covering a multitude of topics not readily found elsewhere. Provides an accessible introduction to Einstein's general theory of relativity Guides readers from Newtonian mechanics to the frontiers of modern research Emphasizes symmetry and the Einstein-Hilbert action Covers topics not found in standard textbooks on Einstein gravity Includes interesting historical asides Features numerous exercises and detailed appendices Ideal for students, physicists, and scientifically minded lay readers Solutions manual (available only to teachers)
Download or read book H G Wells written by Adam Roberts and published by Springer Nature. This book was released on 2019-11-23 with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first new complete literary biography of H G Wells for thirty years, and the first to encompass his entire career as a writer, from the science fiction of the 1890s through his fiction and non-fiction writing all the way up to his last publication in 1946. Adam Roberts provides a comprehensive reassessment of Wells’ importance as a novelist, short-story writer, a theorist of social prophecy and utopia, journalist and commentator, offering a nuanced portrait of the man who coined the phrases ‘atom bomb’, ‘League of Nations’ ‘the war to end war’ and ‘time machine’, who wrote the world’s first comprehensive global history and invented the idea of the tank. In these twenty-six chapters, Roberts covers the entirety of Wells’ life and discusses every book and short story he produced, delivering a complete vision of this enduring figure.
Download or read book Foundations of Infinitesimal Calculus written by H. Jerome Keisler and published by Prindle Weber & Schmidt. This book was released on 1976-01-01 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Treatise on the Differential and Integral Calculus written by Theodore Strong and published by . This book was released on 1869 with total page 652 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Cambridge Companion to Berkeley written by Kenneth P. Winkler and published by Cambridge University Press. This book was released on 2005-12-19 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: George Berkeley is one of the greatest and most influential modern philosophers. In defending the immaterialism for which he is most famous, he redirected modern thinking about the nature of objectivity and the mind's capacity to come to terms with it. Along the way, he made striking and influential proposals concerning the psychology of the senses, the workings of language, the aims of science, and the scope of mathematics. In this Companion volume a team of distinguished authors not only examines Berkeley's achievements but also his neglected contributions to moral and political philosophy, his writings on economics and development, and his defense of religious commitment and religious life. The volume places Berkeley's achievements in the context of the many social and intellectual traditions - philosophical, scientific, ethical, and religious - to which he fashioned a distinctive response.
Download or read book Irregularities and Prediction of Major Disasters written by Yi Lin and published by CRC Press. This book was released on 2010-03-18 with total page 630 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although scientists have effectively employed the concepts of probability to address the complex problem of prediction, modern science still falls short in establishing true predictions with meaningful lead times of zero-probability major disasters. The recent earthquakes in Haiti, Chile, and China are tragic reminders of the critical need for
Download or read book Models and Mirrors written by Don Handelman and published by Berghahn Books. This book was released on 1998 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ritual is one of the most discussed cultural practices, yet its treatment in anthropological terms has been seriously limited, characterized by a host of narrow conceptual distinctions. One major reason for this situation has been the prevalence of positivist anthropologies that have viewed and summarized ritual occasions first and foremost in terms of their declared and assumed functions. By contrast, this book, which has become a classic, investigates them as epistemological phenomena in their own right. Comparing public events - a domain which includes ritual and related occasions - the author argues that any public event must first be comprehended through the logic of its design. It is the logic of organization of an occasion which establishes in large measure what that occasion is able to do in relation to the world within which it is created and practiced.
Download or read book Principles of Mathematics written by Bertrand Russell and published by Routledge. This book was released on 2020-02-25 with total page 579 pages. Available in PDF, EPUB and Kindle. Book excerpt: Published in 1903, this book was the first comprehensive treatise on the logical foundations of mathematics written in English. It sets forth, as far as possible without mathematical and logical symbolism, the grounds in favour of the view that mathematics and logic are identical. It proposes simply that what is commonly called mathematics are merely later deductions from logical premises. It provided the thesis for which Principia Mathematica provided the detailed proof, and introduced the work of Frege to a wider audience. In addition to the new introduction by John Slater, this edition contains Russell's introduction to the 1937 edition in which he defends his position against his formalist and intuitionist critics.
Download or read book The Works of George Berkeley D D Bishop of Cloyne written by George Berkeley and published by . This book was released on 1898 with total page 606 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Works written by George Berkeley and published by . This book was released on 1898 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Supreme Court written by and published by . This book was released on with total page 1160 pages. Available in PDF, EPUB and Kindle. Book excerpt:
