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The Origins Of Cauchys Rigorous Calculus
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Book Synopsis The Origins of Cauchy's Rigorous Calculus by : Judith V. Grabiner
Download or read book The Origins of Cauchy's Rigorous Calculus written by Judith V. Grabiner and published by Courier Corporation. This book was released on 2011-10-20 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text examines the reinterpretation of calculus by Augustin-Louis Cauchy and his peers in the 19th century. These intellectuals created a collection of well-defined theorems about limits, continuity, series, derivatives, and integrals. 1981 edition.
Book Synopsis The Origins of Cauchy's Rigorous Calculus by : Judith V. Grabiner
Download or read book The Origins of Cauchy's Rigorous Calculus written by Judith V. Grabiner and published by Courier Corporation. This book was released on 2012-05-11 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text examines the reinterpretation of calculus by Augustin-Louis Cauchy and his peers in the 19th century. These intellectuals created a collection of well-defined theorems about limits, continuity, series, derivatives, and integrals. 1981 edition.
Book Synopsis The Origins of Infinitesimal Calculus by : Margaret E. Baron
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.
Book Synopsis The History of the Calculus and Its Conceptual Development by : Carl B. Boyer
Download or read book The History of the Calculus and Its Conceptual Development written by Carl B. Boyer and published by Courier Corporation. This book was released on 1959-01-01 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: Traces the development of the integral and the differential calculus and related theories since ancient times
Book Synopsis Cauchy’s Cours d’analyse by : Robert E. Bradley
Download or read book Cauchy’s Cours d’analyse written by Robert E. Bradley and published by Springer Science & Business Media. This book was released on 2010-01-14 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1821, Augustin-Louis Cauchy (1789-1857) published a textbook, the Cours d’analyse, to accompany his course in analysis at the Ecole Polytechnique. It is one of the most influential mathematics books ever written. Not only did Cauchy provide a workable definition of limits and a means to make them the basis of a rigorous theory of calculus, but he also revitalized the idea that all mathematics could be set on such rigorous foundations. Today, the quality of a work of mathematics is judged in part on the quality of its rigor, and this standard is largely due to the transformation brought about by Cauchy and the Cours d’analyse. For this translation, the authors have also added commentary, notes, references, and an index.
Book Synopsis The Historical Development of the Calculus by : C.H.Jr. Edwards
Download or read book The Historical Development of the Calculus written by C.H.Jr. Edwards and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: The calculus has served for three centuries as the principal quantitative language of Western science. In the course of its genesis and evolution some of the most fundamental problems of mathematics were first con fronted and, through the persistent labors of successive generations, finally resolved. Therefore, the historical development of the calculus holds a special interest for anyone who appreciates the value of a historical perspective in teaching, learning, and enjoying mathematics and its ap plications. My goal in writing this book was to present an account of this development that is accessible, not solely to students of the history of mathematics, but to the wider mathematical community for which my exposition is more specifically intended, including those who study, teach, and use calculus. The scope of this account can be delineated partly by comparison with previous works in the same general area. M. E. Baron's The Origins of the Infinitesimal Calculus (1969) provides an informative and reliable treat ment of the precalculus period up to, but not including (in any detail), the time of Newton and Leibniz, just when the interest and pace of the story begin to quicken and intensify. C. B. Boyer's well-known book (1949, 1959 reprint) met well the goals its author set for it, but it was more ap propriately titled in its original edition-The Concepts of the Calculus than in its reprinting.
Book Synopsis Augustin-Louis Cauchy by : Bruno Belhoste
Download or read book Augustin-Louis Cauchy written by Bruno Belhoste and published by Springer. This book was released on 2011-09-30 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: A great difficulty facing a biographer of Cauchy is that of delineating the curious interplay between the man, his times, and his scientific endeavors. Professor Belhoste has succeeded admirably in meeting this challenge and has thus written a vivid biography that is both readable and informative. His subject stands out as one of the most brilliant, versatile, and prolific fig ures in the annals of science. Nearly two hundred years have now passed since the young Cauchy set about his task of clarifying mathematics, extending it, applying it wherever possible, and placing it on a firm theoretical footing. Through Belhoste's work we are afforded a detailed, rather personalized picture of how a first rate mathematician worked at his discipline - his strivings, his inspirations, his triumphs, his failures, and above all, his conflicts and his errors.
Book Synopsis A Guide to Cauchy's Calculus by : Dennis M. Cates
Download or read book A Guide to Cauchy's Calculus written by Dennis M. Cates and published by . This book was released on 2011-11-22 with total page 616 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first to describe in detail a community of potters working for the Jagannatha Temple in Puri, and to explore how the role of temple servant affects the potters' understanding of their work and of themselves. As a pilgrimage centre of national importance, supported by the patronage of successive regional dynasties and by fervent popular belief, the Jagannatha Temple requires earthenware in great quantities for the creation and distribution of the sacred food that is an integral feature of daily ritual and pilgrimage. Three hundred potters participate as temple servants in maintaining the temple's ritual cycle by performing their divinely assigned task. This study, conducted in 1979-1981, observes the potters' technical prowess, sustained by devotion, but also examines the tensions within their relationships to more powerful temple servants and authorities. The role of the potter as temple servant is at once glorious, as demonstrated by texts and personal interpretations of the potters' divinely-appointed service, and pathetic, as shown in the brutality of caste-based hierarchy and cash-based exchange penetrating the modern temple's daily operations.
Book Synopsis Calculus and Its Origins by : David Perkins
Download or read book Calculus and Its Origins written by David Perkins and published by MAA. This book was released on 2012-04-12 with total page 181 pages. Available in PDF, EPUB and Kindle. Book excerpt: The story of how calculus came to be, accessible to anyone with a basic knowledge of geometry and algebra.
Book Synopsis Cauchy's Calcul Infinitésimal by : Dennis M. Cates
Download or read book Cauchy's Calcul Infinitésimal written by Dennis M. Cates and published by Springer. This book was released on 2019-04-03 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a complete English translation of Augustin-Louis Cauchy's historic 1823 text (his first devoted to calculus), Résumé des leçons sur le calcul infinitésimal, "Summary of Lectures on the Infinitesimal Calculus," originally written to benefit his École Polytechnique students in Paris. Within this single text, Cauchy succinctly lays out and rigorously develops all of the topics one encounters in an introductory study of the calculus, from his classic definition of the limit to his detailed analysis of the convergence properties of infinite series. In between, the reader will find a full treatment of differential and integral calculus, including the main theorems of calculus and detailed methods of differentiating and integrating a wide variety of functions. Real, single variable calculus is the main focus of the text, but Cauchy spends ample time exploring the extension of his rigorous development to include functions of multiple variables as well as complex functions. This translation maintains the same notation and terminology of Cauchy's original work in the hope of delivering as honest and true a Cauchy experience as possible so that the modern reader can experience his work as it may have been like 200 years ago. This book can be used with advantage today by anyone interested in the history of the calculus and analysis. In addition, it will serve as a particularly valuable supplement to a traditional calculus text for those readers who desire a way to create more texture in a conventional calculus class through the introduction of original historical sources.
Book Synopsis Augustin-Louis Cauchy by : Rajesh Thakur
Download or read book Augustin-Louis Cauchy written by Rajesh Thakur and published by Prabhat Prakashan. This book was released on 1991-01-01 with total page 7 pages. Available in PDF, EPUB and Kindle. Book excerpt: About the book The greatest French Mathematician; who has been described as the first revolution of rigour in mathematics; is; undoubtedly; Augustin Louis Cauchy. He contributed in a major way to almost every branch of mathematics. It is humorously said-Cauchy did not so much master mathematics; mathematics mastered Cauchy.
Book Synopsis Applications of Mathematics by : Alampallam V. Balakrishnan
Download or read book Applications of Mathematics written by Alampallam V. Balakrishnan and published by Springer. This book was released on 1981-05-04 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: In preparing the second edition, I have taken advantage of the opportunity to correct errors as well as revise the presentation in many places. New material has been included, in addition, reflecting relevant recent work. The help of many colleagues (and especially Professor J. Stoer) in ferreting out errors is gratefully acknowledged. I also owe special thanks to Professor v. Sazonov for many discussions on the white noise theory in Chapter 6. February, 1981 A. V. BALAKRISHNAN v Preface to the First Edition The title "Applied Functional Analysis" is intended to be short for "Functional analysis in a Hilbert space and certain of its applications," the applications being drawn mostly from areas variously referred to as system optimization or control systems or systems analysis. One of the signs of the times is a discernible tilt toward application in mathematics and conversely a greater level of mathematical sophistication in the application areas such as economics or system science, both spurred undoubtedly by the heightening pace of digital computer usage. This book is an entry into this twilight zone. The aspects of functional analysis treated here are rapidly becoming essential in the training at the advance graduate level of system scientists and/or mathematical economists. There are of course now available many excellent treatises on functional analysis.
Book Synopsis The History of the Calculus and Its Conceptual Development by : Carl Benjamin Boyer
Download or read book The History of the Calculus and Its Conceptual Development written by Carl Benjamin Boyer and published by Courier Corporation. This book was released on 1949 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Cauchy and the Creation of Complex Function Theory by : Frank Smithies
Download or read book Cauchy and the Creation of Complex Function Theory written by Frank Smithies and published by Cambridge University Press. This book was released on 1997-11-20 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dr Smithies' analysis of the process whereby Cauchy created the basic structure of complex analysis, begins by describing the 18th century background. He then proceeds to examine the stages of Cauchy's own work, culminating in the proof of the residue theorem. Controversies associated with the the birth of the subject are also considered in detail. Throughout, new light is thrown on Cauchy's thinking during this watershed period. This authoritative book is the first to make use of the whole spectrum of available original sources.
Book Synopsis The Tangled Origins of the Leibnizian Calculus by : Richard C. Brown
Download or read book The Tangled Origins of the Leibnizian Calculus written by Richard C. Brown and published by World Scientific. This book was released on 2012 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a detailed study of Gottfried Wilhelm Leibniz''s creation of calculus from 1673 to the 1680s. We examine and analyze the mathematics in several of his early manuscripts as well as various articles published in the Acta Eruditorum. It studies some of the other lesser known OC calculiOCO Leibniz created such as the Analysis Situs, delves into aspects of his logic, and gives an overview of his efforts to construct a Universal Characteristic, a goal that has its distant origin in the Ars Magna of the 13th century Catalan philosopher Raymond Llull, whose work enjoyed a renewed popularity in the century and a half prior to Leibniz. This book also touches upon a new look at the priority controversy with Newton and a Kuhnian interpretation of the nature of mathematical change. This book may be the only integrated treatment based on recent research and should be a thought-provoking contribution to the history of mathematics for scholars and students, interested in either Leibniz''s mathematical achievement or general issues in the field."
Book Synopsis The Cambridge History of Philosophy in the Nineteenth Century (1790–1870) by : Allen W. Wood
Download or read book The Cambridge History of Philosophy in the Nineteenth Century (1790–1870) written by Allen W. Wood and published by Cambridge University Press. This book was released on 2012-09-10 with total page 1222 pages. Available in PDF, EPUB and Kindle. Book excerpt: The latest volume in the Cambridge Histories of Philosophy series, The Cambridge History of Philosophy in the Nineteenth Century (1790–1870) brings together twenty-nine leading experts in the field and covers the years 1790–1870. Their twenty-eight chapters provide a comprehensive survey of the period, organizing the material topically. After a brief editor's introduction, the book begins with three chapters surveying the background of nineteenth-century philosophy: followed by two on logic and mathematics, two on nature and natural science, five on mind and language (including psychology, the human sciences and aesthetics), four on ethics, three on religion, seven on society (including chapters on the French Revolution, the decline of natural right, political economy and social discontent), and three on history, which deal with historical method, speculative theories of history and the history of philosophy.
Book Synopsis The Concepts of the Calculus by : Carl Benjamin Boyer
Download or read book The Concepts of the Calculus written by Carl Benjamin Boyer and published by . This book was released on 1939 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides a critical account of the creation of the fundamental ideas of calculus from their inception to the formulation of these in the concepts familiar to students of the elements of mathematical analysis.
