Studies On The Origins Of The Infinitesimal Calculus

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The Origins Of Infinitesimal Calculus
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Author : Margaret E. Baron
language : en
Publisher: Elsevier
Release Date : 2014-05-09
The Origins Of Infinitesimal Calculus written by Margaret E. Baron and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-09 with Mathematics categories.
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.
Studies On The Origins Of The Infinitesimal Calculus
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Author : Margaret E. Baron
language : en
Publisher:
Release Date : 2013
Studies On The Origins Of The Infinitesimal Calculus written by Margaret E. Baron and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with categories.
Studies On The Origins Of The Infinitesimal Calculus
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Author : M. E. Baron
language : en
Publisher:
Release Date : 1965
Studies On The Origins Of The Infinitesimal Calculus written by M. E. Baron and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with categories.
Studies In The History Of French Political Economy
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Author : Gilbert Faccarello
language : en
Publisher: Routledge
Release Date : 2002-09-11
Studies In The History Of French Political Economy written by Gilbert Faccarello and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-09-11 with Business & Economics categories.
Studies in the History of French Political Economy considers the evolution of economic thought in France, from the sixteenth to the twentieth century. Gilbert Faccarello brings to the forefront those economists, themes and controversies which are important in the context of recent research, and about which new ideas can be developed.
Writing The History Of Mathematics Its Historical Development
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Author : Joseph W. Dauben
language : en
Publisher: Springer Science & Business Media
Release Date : 2002-09-23
Writing The History Of Mathematics Its Historical Development written by Joseph W. Dauben and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-09-23 with Mathematics categories.
As an historiographic monograph, this book offers a detailed survey of the professional evolution and significance of an entire discipline devoted to the history of science. It provides both an intellectual and a social history of the development of the subject from the first such effort written by the ancient Greek author Eudemus in the Fourth Century BC, to the founding of the international journal, Historia Mathematica, by Kenneth O. May in the early 1970s.
Before Voltaire
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Author : J.B. Shank
language : en
Publisher: University of Chicago Press
Release Date : 2018-06-08
Before Voltaire written by J.B. Shank and has been published by University of Chicago Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-06-08 with History categories.
We have grown accustomed to the idea that scientific theories are embedded in their place and time. But in the case of the development of mathematical physics in eighteenth-century France, the relationship was extremely close. In Before Voltaire, J.B. Shank shows that although the publication of Isaac Newton’s Principia in 1687 exerted strong influence, the development of calculus-based physics is better understood as an outcome that grew from French culture in general. Before Voltaire explores how Newton’s ideas made their way not just through the realm of French science, but into the larger world of society and culture of which Principia was an intertwined part. Shank also details a history of the beginnings of calculus-based mathematical physics that integrates it into the larger intellectual currents in France at the time, including the Battle of the Ancients and the Moderns, the emergence of wider audiences for science, and the role of the newly reorganized Royal Academy of Sciences. The resulting book offers an unprecedented cultural history of one the most important and influential elements of Enlightenment science.
The Routledge Companion To Interdisciplinary Studies In Singing Volume Ii Education
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Author : Helga R. Gudmundsdottir
language : en
Publisher: Routledge
Release Date : 2020-05-19
The Routledge Companion To Interdisciplinary Studies In Singing Volume Ii Education written by Helga R. Gudmundsdottir and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-19 with Music categories.
The Routledge Companion to Interdisciplinary Studies in Singing, Volume II: Education examines the many methods and motivations for vocal pedagogy, promoting singing not just as an art form arising from the musical instrument found within every individual but also as a means of communication with social, psychological, and didactic functions. Presenting research from myriad fields of study beyond music—including psychology, education, sociology, computer science, linguistics, physiology, and neuroscience—the contributors address singing in three parts: Learning to Sing Naturally Formal Teaching of Singing Using Singing to Teach In 2009, the Social Sciences and Humanities Research Council of Canada funded a seven-year major collaborative research initiative known as Advancing Interdisciplinary Research in Singing (AIRS). Together, global researchers from a broad range of disciplines addressed three challenging questions: How does singing develop in every human being? How should singing be taught and used to teach? How does singing impact wellbeing? Across three volumes, The Routledge Companion to Interdisciplinary Studies in Singing consolidates the findings of each of these three questions, defining the current state of theory and research in the field. Volume II: Education focuses on the second question and offers an invaluable resource for anyone who identifies as a singer, wishes to become a singer, works with singers, or is interested in the application of singing for the purposes of education.
The Last Years Of Karl Marx
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Author : Marcello Musto
language : en
Publisher: Stanford University Press
Release Date : 2023-05-25
The Last Years Of Karl Marx written by Marcello Musto and has been published by Stanford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-05-25 with Biography & Autobiography categories.
" Brilliantly demonstrates that Marx spent these years opening new and important theoretical horizons." ―Étienne Balibar, author of The Philosophy of Marx In the last years of his life, Karl Marx expanded his research in new directions—studying recent anthropological discoveries, analyzing communal forms of ownership in precapitalist societies, supporting the populist movement in Russia, and expressing critiques of colonial oppression in India, Ireland, Algeria, and Egypt. Between 1881 and 1883, he also traveled beyond Europe for the first and only time. Focusing on these last years of Marx's life, this book dispels two key misrepresentations of his work: that Marx ceased to write late in life, and that he was a Eurocentric and economic thinker fixated on class conflict alone. With The Last Years of Karl Marx, Marcello Musto claims a renewed relevance for the late work of Marx, highlighting unpublished or previously neglected writings, many of which remain unavailable in English. Readers are invited to reconsider Marx's critique of European colonialism, his ideas on non-Western societies, and his theories on the possibility of revolution in noncapitalist countries. From Marx's late manuscripts, notebooks, and letters emerge an author markedly different from the one represented by many of his contemporary critics and followers alike. "Musto takes us by the hand and invites us to discover a new Marx." ―Antonio Negri, author of Marx beyond Marx "Highly recommended." ―M. J. Wert, Choice "Fills a huge gap in our understanding of Marx." ―Kevin B. Anderson, New Politics: Journal of Socialist Thought "[A] bold socio-political reading of Marx." ―Arkayan Ganguly, Critique: Journal of Socialist Theory
History And Philosophy Of Modern Mathematics
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Author : William Aspray
language : en
Publisher: U of Minnesota Press
Release Date : 1988
History And Philosophy Of Modern Mathematics written by William Aspray and has been published by U of Minnesota Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Mathematics categories.
History and Philosophy of Modern Mathematics was first published in 1988. Minnesota Archive Editions uses digital technology to make long-unavailable books once again accessible, and are published unaltered from the original University of Minnesota Press editions. The fourteen essays in this volume build on the pioneering effort of Garrett Birkhoff, professor of mathematics at Harvard University, who in 1974 organized a conference of mathematicians and historians of modern mathematics to examine how the two disciplines approach the history of mathematics. In History and Philosophy of Modern Mathematics, William Aspray and Philip Kitcher bring together distinguished scholars from mathematics, history, and philosophy to assess the current state of the field. Their essays, which grow out of a 1985 conference at the University of Minnesota, develop the basic premise that mathematical thought needs to be studied from an interdisciplinary perspective. The opening essays study issues arising within logic and the foundations of mathematics, a traditional area of interest to historians and philosophers. The second section examines issues in the history of mathematics within the framework of established historical periods and questions. Next come case studies that illustrate the power of an interdisciplinary approach to the study of mathematics. The collection closes with a look at mathematics from a sociohistorical perspective, including the way institutions affect what constitutes mathematical knowledge.
Advanced Calculus Revised Edition
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Author : Lynn Harold Loomis
language : en
Publisher: World Scientific Publishing Company
Release Date : 2014-02-26
Advanced Calculus Revised Edition written by Lynn Harold Loomis and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-02-26 with Mathematics categories.
An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades.This book is based on an honors course in advanced calculus that the authors gave in the 1960's. The foundational material, presented in the unstarred sections of Chapters 1 through 11, was normally covered, but different applications of this basic material were stressed from year to year, and the book therefore contains more material than was covered in any one year. It can accordingly be used (with omissions) as a text for a year's course in advanced calculus, or as a text for a three-semester introduction to analysis.The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view, together with some acquaintance with linear algebra. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. As possible introductory texts, we mention Differential and Integral Calculus by R Courant, Calculus by T Apostol, Calculus by M Spivak, and Pure Mathematics by G Hardy. The reader should also have some experience with partial derivatives.In overall plan the book divides roughly into a first half which develops the calculus (principally the differential calculus) in the setting of normed vector spaces, and a second half which deals with the calculus of differentiable manifolds.