Download or read book The Metaphysical Principles of the Infinitesimal Calculus written by René Guénon and published by Sophia Perennis. This book was released on 2003 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt: René Guénon (1886-1951) is undoubtedly one of the luminaries of the twentieth century, whose critique of the modern world has stood fast against the shifting sands of recent philosophies. His oeuvre of 26 volumes is providential for the modern seeker: pointing ceaselessly to the perennial wisdom found in past cultures ranging from the Shamanistic to the Indian and Chinese, the Hellenic and Judaic, the Christian and Islamic, and including also Alchemy, Hermeticism, and other esoteric currents, at the same time it directs the reader to the deepest level of religious praxis, emphasizing the need for affiliation with a revealed tradition even while acknowledging the final identity of all spiritual paths as they approach the summit of spiritual realization. Guénon's early and abiding interest in mathematics, like that of Plato, Pascal, Leibnitz, and many other metaphysicians of note, runs like a scarlet threat throughout his doctrinal studies. In this late text published just five years before his death, Guénon devotes an entire volume to questions regarding the nature of limits and the infinite, both with respect to the calculus as a mathematical discipline, and to the symbolism of the initiatic path. This book therefore extends and complements the geometrical symbolism Guénon employs in several of his other works, especially The Symbolism of the Cross, The Multiple States of the Being, and Symbols of Sacred Science. A sampling of chapter titles will convey some sense of this remarkable work: 'Infinite and Indefinite', 'Degrees of Infinity', 'Zero is not a Number', 'The Law of Continuity', 'Vanishing Quantities', 'Various Orders of Indefinitude', 'The Arguments of Zeno of Elea', 'The True Conception of Passage to the Limit'. The Collected Works of René Guénon brings together the writings of one of the greatest prophets of our time, whose voice is even more important today than when he was alive. Huston Smith, author of The World's Religions, etc.
Download or read book Reflexions on the Metaphysical Principles of the Infinitesimal Analysis written by Lazare Carnot and published by . This book was released on 1832 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Metaphysical Principles of the Infinitesimal Calculus written by René Guénon and published by Sophia Perennis. This book was released on 2003 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: Guénon's early and abiding interest in mathematics, like that of Plato, Pascal, Leibnitz, and many other metaphysicians of note, runs like a scarlet thread throughout his doctrinal studies. In this late text published just five years before his death, Guénon devotes an entire volume to questions regarding the nature of limits and the infinite with respect to the calculus both as a mathematical discipline and as symbolism for the initiatic path. This book therefore extends and complements the geometrical symbolism he employs in other works, especially The Symbolism of the Cross, The Multiple States of the Being, and Symbols of Sacred Science. According to Guénon, the concept 'infinite number' is a contradiction in terms. Infinity is a metaphysical concept at a higher level of reality than that of quantity, where all that can be expressed is the indefinite, not the infinite. But although quantity is the only level recognized by modern science, the numbers that express it also possess qualities, their quantitative aspect being merely their outer husk. Our reliance today on a mathematics of approximation and probability only further conceals the 'qualitative mathematics' of the ancient world, which comes to us most directly through the Pythagorean-Platonic tradition.
Download or read book Reflexions on the Metaphysical Principles of the Infinitesimal Analysis Translated by the Rev W R Browell written by Lazare Nicolas Marguerite CARNOT (Count.) and published by . This book was released on 1832 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Reflexions on the Metaphysical Principles of the Infinitesimal Analysis written by Lazare Carnot and published by Andesite Press. This book was released on 2015-08-11 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Download or read book Reflexions on the Metaphysical Principles of the Infinitesimal Analysis written by Lazare Carnot and published by . This book was released on 2020-05-11 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a reproduction of the original artefact. Generally these books are created from careful scans of the original. This allows us to preserve the book accurately and present it in the way the author intended. Since the original versions are generally quite old, there may occasionally be certain imperfections within these reproductions. We're happy to make these classics available again for future generations to enjoy!
Download or read book The Continuous and the Infinitesimal in Mathematics and Philosophy written by John Lane Bell and published by Polimetrica s.a.s.. This book was released on 2005 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Elements of Infinitesimal Calculus written by Joseph Bayma and published by Createspace Independent Publishing Platform. This book was released on 2016-12-26 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the PREFACE. The present treatise, as its title points out, has been based on the principles of the infinitesimal method. I think that this method, besides being > the simplest of all for teaching Calculus, as all admit, is also the most consistent and philosophical. Some modern writers, indeed, have tried to discredit it; but, when we examine their reasonings, we soon discover that they have done so because they have failed to grasp the true nature of infinitesimal quantities. This I have endeavored to show in my introduction to this work, where ihe reader will find not only what I believe to be the exact notion of the infinitesimal, but also a hint at the grounds (elsewhere developed) upon which the infinitesimal method rests its claim to be preferred to its fashionable rival, the method of limits. This work being intended for young men who are supposed to devote a considerable part of their time to the study of mental and of natural philosophy, it has been necessary to limit its developments by giving less prominence to the analytical than to the practical portion of it. But, while anxious not to overtax our young people, I have nevertheless collected and condensed all that seemed to be of practical use in this branch of study; and, though I have made it a point to be concise, I have constantly endeavored to make all things as plain as the subject matter permitted. I hope that the average student will need only a moderate effort to understand the object and the processes of differentiation and of integration as laid down in this treatise; though, as to integration, his success will often depend also on his endurance of analytical work. To assist him in the performance of this task, I have developed a sufficient number of geometrical and of mechanical problems, together with some fundamental notions of rational mechanics, which were indispensable, and which will serve as an introduction to the regular study of this latter science. -J. B.
Download or read book The Great Triad written by René Guénon and published by Sophia Perennis. This book was released on 2004-05 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: The classical Triad of the Chinese tradition is Heaven-Man-Earth. René Guénon places this ternary in the context of universal metaphysics by identifying Heaven with Essence and Earth with Substance, the mediator between them being Man, whose cosmic function is to embody spirit (Heaven) while simultaneously spiritualizing matter (Earth). Exploring Chinese cosmology further, Guénon sheds light on such archetypal polarities as Heaven and Earth, Yin and Yang, Solve et Coagula, Celestial and Terrestrial Numbers, the Square and the Compass, the Double Spiral, and the Being and the Environment, while pointing to their synthetic unity in terms of ternaries, such as the Three Worlds, Triple Time, Spiritus, Anima, and Corpus, Sulfur, Mercury and Salt, and God, Man, and Nature. Perhaps more completely than in any other work, Guénon demonstrates in The Great Triad how any integral tradition is both a mirror reflecting universal themes found in all other intact traditions and an entire conceptual cosmos unto itself, unique and incomparable.
Download or read book The Origins of Infinitesimal Calculus written by Margaret E. Baron and published by Elsevier. This book was released on 2014-05-09 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Origins of Infinitesimal Calculus focuses on the evolution, development, and applications of infinitesimal calculus. The publication first ponders on Greek mathematics, transition to Western Europe, and some center of gravity determinations in the later 16th century. Discussions focus on the growth of kinematics in the West, latitude of forms, influence of Aristotle, axiomatization of Greek mathematics, theory of proportion and means, method of exhaustion, discovery method of Archimedes, and curves, normals, tangents, and curvature. The manuscript then examines infinitesimals and indivisibles in the early 17th century and further advances in France and Italy. Topics include the link between differential and integral processes, concept of tangent, first investigations of the cycloid, and arithmetization of integration methods. The book reviews the infinitesimal methods in England and Low Countries and rectification of arcs. The publication is a vital source of information for historians, mathematicians, and researchers interested in infinitesimal calculus.
Download or read book Calculus with infinitesimals written by Efraín Soto Apolinar and published by Efrain Soto Apolinar. This book was released on 2020-06-30 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers the most important ideas of calculus and its applications. An emphasis is placed on the use of infinitely small quantities (i.e., infinitesimals), which were used in the creation of this branch of mathematics. The goal of the author is to provide a smoother transition to the understanding of the ideas of infinitesimal quantity, derivative, differential, antiderivative, and the definite integral. In order to give the reader an easier approach to learning and understanding these ideas, the same justifications given by the creators of the calculus are explained in this book. The justification of the formulas to compute derivatives is deduced according to its historical genesis with the use of the idea of infinitesimal as stated by Leibniz. Also, the justification of the formulas for antiderivatives is explained in detail. Some applications of the calculus are also covered, among them, extreme values of functions, related rates, arc length, area of regions in the plane, volume, surface area, mass, the center of mass, the moment of inertia, hydrostatic pressure, work, and several more. Mathematical rigor is not emphasized in this work, but instead, the meaning of the concepts and the understanding of the mathematical procedures in order to prepare the reader to apply the calculus in different contexts, among them: geometry, physics, and engineering problems. To motivate more teachers and students to use this book, the topics covered have been arranged according to most of the traditional calculus courses. However, because the theory of limits and the definitions of the ideas of calculus based on limits, were created many years later by Cauchy and Weierstrass, the limits and some related ideas (like continuity and differentiability) are not detailed covered.
Download or read book Elements of Infinitesimal Calculus Classic Reprint written by Joseph Bayma and published by Forgotten Books. This book was released on 2017-12-19 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Elements of Infinitesimal Calculus The present treatise, as its title points out, has been based on the principles of the infinitesimal method. I think that this method, besides being the simplest of all for teaching Calculus, as all admit, is also the most consistent and philoso phical. Some modern writers, indeed, have tried to discredit it but, when we examine their reason ings, we soon discover that they have done so be cause they have failed to grasp the true nature of infinitesimal quantities. This I have endeavored to show in my introduction to this work, where the reader will find not only what I believe to be the exact notion of the infinitesimal, but also a hint at the grounds (elsewhere developed) upon which the infinitesimal method rests its claim to be pre ferred to its fashionable rival, the method of limits. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Download or read book Infinitesimal Calculus written by James M. Henle and published by Courier Corporation. This book was released on 2014-01-15 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introducing calculus at the basic level, this text covers hyperreal numbers and hyperreal line, continuous functions, integral and differential calculus, fundamental theorem, infinite sequences and series, infinite polynomials, more. 1979 edition.
Download or read book Prophet for a Dark Age written by Graham Rooth and published by Liverpool University Press. This book was released on 2008-03-14 with total page 619 pages. Available in PDF, EPUB and Kindle. Book excerpt: Rene Guenon is a major figure for anyone who recognises a need to rediscover the spiritual roots from which Western society has become so comprehensively alienated. Immersing himself in the search for spiritual truth, he chose Islam as the vehicle for his spiritual life.
Download or read book From the Calculus to Set Theory 1630 1910 written by I. Grattan-Guinness and published by Princeton University Press. This book was released on 2020-10-06 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the Calculus to Set Theory traces the development of the calculus from the early seventeenth century through its expansion into mathematical analysis to the developments in set theory and the foundations of mathematics in the early twentieth century. It chronicles the work of mathematicians from Descartes and Newton to Russell and Hilbert and many, many others while emphasizing foundational questions and underlining the continuity of developments in higher mathematics. The other contributors to this volume are H. J. M. Bos, R. Bunn, J. W. Dauben, T. W. Hawkins, and K. Møller-Pedersen.
Download or read book Initiation and Spiritual Realization written by René Guénon and published by Sophia Perennis. This book was released on 2004-05 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: Initiation and Spiritual Realization is the closest thing to a work on 'spiritual direction' René Guénon ever wrote, touching as it does upon such vital topics as the transmission of initiatic grace, the various types and functions of the spiritual master, obstacles the aspirant is likely to encounter, different modes of contemplation, and the degrees of spiritual realization. A companion volume to Perspectives on Initiation, where Guénon had defined the nature of initiation and of the organizations qualified to transmit it, Initiation and Spiritual Realization was the first thematic collection of Guénon's articles to appear after his death. And one doctrine expressed in this book stands out as particularly timely: that esoterism is not and cannot be a religion in itself, since to take it as such is to reduce it to an 'alternative' exoterism, and a heterodox one at that. Initiatic esoterism can only be legitimately and effectively practiced within the context of one of the established, revealed religions.
Download or read book Spiritual Authority and Temporal Power written by René Guénon and published by Sophia Perennis. This book was released on 2001 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: Spiritual Authority and Temporal Power is an analysis of cyclical manifestation, and more specifically of the relationship between royal and sacerdotal power. In accord with the Hindu doctrine of manvantaras and Plato's depiction of historical degeneration in the Republic, Guénon views history here as a series of 'revolts' of lower castes against the higher. The kshatriyas (warriors) revolt against the brahmins (priests), thus setting the stage for a revolt of the vaishyas (loosely, the bourgeoisie), as in the French revolution-and, finally, the shudras (the proletariat), as in the Russian revolution (which Guénon does not touch upon in this work). From one point of view, this is a progressive degeneration; from another it is entirely lawful, given the 'entropic' nature of manifestation itself. External, historical descent reflects an inner degeneration: knowledge (the celestial paradise) is eclipsed by heroic action (the terrestrial paradise), which is in turn overrun by the inertia and agitation of the passions. Yet the nadir of degeneration is also the point of renewal: the dawning of the Heavenly Jerusalem-spiritual Knowledge-which begins a new cycle of manifestation.
