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Differential Calculus and by Era Integral Calculus, Which Are Related by in Early Cultures in Classical Antiquity the Fundamental Theorem of Calculus
History of calculus - Wikipedia, the free encyclopedia 1/1/10 5:02 PM History of calculus From Wikipedia, the free encyclopedia History of science This is a sub-article to Calculus and History of mathematics. History of Calculus is part of the history of mathematics focused on limits, functions, derivatives, integrals, and infinite series. The subject, known Background historically as infinitesimal calculus, Theories/sociology constitutes a major part of modern Historiography mathematics education. It has two major Pseudoscience branches, differential calculus and By era integral calculus, which are related by In early cultures in Classical Antiquity the fundamental theorem of calculus. In the Middle Ages Calculus is the study of change, in the In the Renaissance same way that geometry is the study of Scientific Revolution shape and algebra is the study of By topic operations and their application to Natural sciences solving equations. A course in calculus Astronomy is a gateway to other, more advanced Biology courses in mathematics devoted to the Botany study of functions and limits, broadly Chemistry Ecology called mathematical analysis. Calculus Geography has widespread applications in science, Geology economics, and engineering and can Paleontology solve many problems for which algebra Physics alone is insufficient. Mathematics Algebra Calculus Combinatorics Contents Geometry Logic Statistics 1 Development of calculus Trigonometry 1.1 Integral calculus Social sciences 1.2 Differential calculus Anthropology 1.3 Mathematical analysis -
A Bibliography of Publications By, and About, Charles Babbage
A Bibliography of Publications by, and about, Charles Babbage Nelson H. F. Beebe University of Utah Department of Mathematics, 110 LCB 155 S 1400 E RM 233 Salt Lake City, UT 84112-0090 USA Tel: +1 801 581 5254 FAX: +1 801 581 4148 E-mail: [email protected], [email protected], [email protected] (Internet) WWW URL: http://www.math.utah.edu/~beebe/ 08 March 2021 Version 1.24 Abstract -analogs [And99b, And99a]. This bibliography records publications of 0 [Bar96, CK01b]. 0-201-50814-1 [Ano91c]. Charles Babbage. 0-262-01121-2 [Ano91c]. 0-262-12146-8 [Ano91c, Twe91]. 0-262-13278-8 [Twe93]. 0-262-14046-2 [Twe92]. 0-262-16123-0 [Ano91c]. 0-316-64847-7 [Cro04b, CK01b]. Title word cross-reference 0-571-17242-3 [Bar96]. 1 [Bab97, BRG+87, Mar25, Mar86, Rob87a, #3 [Her99]. Rob87b, Tur91]. 1-85196-005-8 [Twe89b]. 100th [Sen71]. 108-bit [Bar00]. 1784 0 [Tee94]. 1 [Bab27d, Bab31c, Bab15]. [MB89]. 1792/1871 [Ynt77]. 17th [Hun96]. 108 000 [Bab31c, Bab15]. 108000 [Bab27d]. 1800s [Mar08]. 1800s-Style [Mar08]. 1828 1791 + 200 = 1991 [Sti91]. $19.95 [Dis91]. [Bab29a]. 1835 [Van83]. 1851 $ $ $21.50 [Mad86]. 25 [O’H82]. 26.50 [Bab51a, CK89d, CK89i, She54, She60]. $ [Enr80a, Enr80b]. $27.95 [L.90]. 28 1852 [Bab69]. 1853 [She54, She60]. 1871 $ [Hun96]. $35.00 [Ano91c]. 37.50 [Ano91c]. [Ano71b, Ano91a]. 1873 [Dod00]. 18th $45.00 [Ano91c]. q [And99a, And99b]. 1 2 [Bab29a]. 1947 [Ano48]. 1961 Adam [O’B93]. Added [Bab16b, Byr38]. [Pan63, Wil64]. 1990 [CW91]. 1991 Addison [Ano91c]. Addison-Wesley [Ano90, GG92a]. 19th [Ano91c]. Addition [Bab43a]. Additions [Gre06, Gre01, GST01]. -
“A Valuable Monument of Mathematical Genius”\Thanksmark T1: the Ladies' Diary (1704–1840)
Historia Mathematica 36 (2009) 10–47 www.elsevier.com/locate/yhmat “A valuable monument of mathematical genius” ✩: The Ladies’ Diary (1704–1840) Joe Albree ∗, Scott H. Brown Auburn University, Montgomery, USA Available online 24 December 2008 Abstract Our purpose is to view the mathematical contribution of The Ladies’ Diary as a whole. We shall range from the state of mathe- matics in England at the beginning of the 18th century to the transformations of the mathematics that was published in The Diary over 134 years, including the leading role The Ladies’ Diary played in the early development of British mathematics periodicals, to finally an account of how progress in mathematics and its journals began to overtake The Diary in Victorian Britain. © 2008 Published by Elsevier Inc. Résumé Notre but est de voir la contribution mathématique du Journal de Lady en masse. Nous varierons de l’état de mathématiques en Angleterre au début du dix-huitième siècle aux transformations des mathématiques qui a été publié dans le Journal plus de 134 ans, en incluant le principal rôle le Journal de Lady joué dans le premier développement de périodiques de mathématiques britanniques, à finalement un compte de comment le progrès dans les mathématiques et ses journaux a commencé à dépasser le Journal dans l’Homme de l’époque victorienne la Grande-Bretagne. © 2008 Published by Elsevier Inc. Keywords: 18th century; 19th century; Other institutions and academies; Bibliographic studies 1. Introduction Arithmetical Questions are as entertaining and delightful as any other Subject whatever, they are no other than Enigmas, to be solved by Numbers; . -
From Abraham De Moivre to Johann Carl Friedrich Gauss
International Journal of Engineering Science Invention (IJESI) ISSN (Online): 2319 – 6734, ISSN (Print): 2319 – 6726 www.ijesi.org ||Volume 7 Issue 6 Ver V || June 2018 || PP 28-34 A Brief Historical Overview Of the Gaussian Curve: From Abraham De Moivre to Johann Carl Friedrich Gauss Edel Alexandre Silva Pontes1 1Department of Mathematics, Federal Institute of Alagoas, Brazil Abstract : If there were only one law of probability to be known, this would be the Gaussian distribution. Faced with this uneasiness, this article intends to discuss about this distribution associated with its graph called the Gaussian curve. Due to the scarcity of texts in the area and the great demand of students and researchers for more information about this distribution, this article aimed to present a material on the history of the Gaussian curve and its relations. In the eighteenth and nineteenth centuries, there were several mathematicians who developed research on the curve, including Abraham de Moivre, Pierre Simon Laplace, Adrien-Marie Legendre, Francis Galton and Johann Carl Friedrich Gauss. Some researchers refer to the Gaussian curve as the "curve of nature itself" because of its versatility and inherent nature in almost everything we find. Virtually all probability distributions were somehow part or originated from the Gaussian distribution. We believe that the work described, the study of the Gaussian curve, its history and applications, is a valuable contribution to the students and researchers of the different areas of science, due to the lack of more detailed research on the subject. Keywords - History of Mathematics, Distribution of Probabilities, Gaussian Curve. ----------------------------------------------------------------------------------------------------------------------------- --------- Date of Submission: 09-06-2018 Date of acceptance: 25-06-2018 ----------------------------------------------------------------------------------------------------------------------------- ---------- I. -
Carl Friedrich Gauss Seminarski Rad
SREDNJA ŠKOLA AMBROZA HARAČIĆA PODRUČNI ODJEL CRES CARL FRIEDRICH GAUSS SEMINARSKI RAD Cres, 2014. SREDNJA ŠKOLA AMBROZA HARAČIĆA PODRUČNI ODJEL CRES CARL FRIEDRICH GAUSS SEMINARSKI RAD Učenice: Marina Kučica Giulia Muškardin Brigita Novosel Razred: 3.g. Mentorica: prof. Melita Chiole Predmet: Matematika Cres, ožujak 2014. II Sadržaj 1. UVOD .................................................................................................................................... 1 2. DJETINJSTVO I ŠKOLOVANJE ......................................................................................... 2 3. PRIVATNI ŽIVOT ................................................................................................................ 5 4. GAUSSOV RAD ................................................................................................................... 6 4.1. Prvi znanstveni rad .......................................................................................................... 6 4.2. Teorija brojeva ................................................................................................................ 8 4.3. Geodezija ......................................................................................................................... 9 4.4. Fizika ............................................................................................................................. 11 4.5. Astronomija ................................................................................................................... 12 4.6. Religija -
Newton's Notebook
Newton’s Notebook The Haverford School’s Math & Applied Math Journal Issue I Spring 2017 The Haverford School Newton’s Notebook Spring 2017 “To explain all nature is too difficult a task for any one man or even for any one age. ‘Tis much better to do a little with certainty & leave the rest for others that come after you.” ~Isaac Newton Table of Contents Pure Mathematics: 7 The Golden Ratio.........................................................................................Robert Chen 8 Fermat’s Last Theorem.........................................................................Michael Fairorth 9 Math in Coding............................................................................................Bram Schork 10 The Pythagoreans.........................................................................................Eusha Hasan 12 Transfinite Numbers.................................................................................Caleb Clothier 15 Sphere Equality................................................................................Matthew Baumholtz 16 Interesting Series.......................................................................................Aditya Sardesi 19 Indirect Proofs..............................................................................................Mr. Patrylak Applied Mathematics: 23 Physics in Finance....................................................................................Caleb Clothier 26 The von Bertalanffy Equation..................................................................Will -
The Astronomical Work of Carl Friedrich Gauss
View metadata, citation and similar papers at core.ac.uk brought to you by CORE provided by Elsevier - Publisher Connector HISTORIA MATHEMATICA 5 (1978), 167-181 THE ASTRONOMICALWORK OF CARL FRIEDRICH GAUSS(17774855) BY ERIC G, FORBES, UNIVERSITY OF EDINBURGH, EDINBURGH EH8 9JY This paper was presented on 3 June 1977 at the Royal Society of Canada's Gauss Symposium at the Ontario Science Centre in Toronto [lj. SUMMARIES Gauss's interest in astronomy dates from his student-days in Gattingen, and was stimulated by his reading of Franz Xavier von Zach's Monatliche Correspondenz... where he first read about Giuseppe Piazzi's discovery of the minor planet Ceres on 1 January 1801. He quickly produced a theory of orbital motion which enabled that faint star-like object to be rediscovered by von Zach and others after it emerged from the rays of the Sun. Von Zach continued to supply him with the observations of contemporary European astronomers from which he was able to improve his theory to such an extent that he could detect the effects of planetary perturbations in distorting the orbit from an elliptical form. To cope with the complexities which these introduced into the calculations of Ceres and more especially the other minor planet Pallas, discovered by Wilhelm Olbers in 1802, Gauss developed a new and more rigorous numerical approach by making use of his mathematical theory of interpolation and his method of least-squares analysis, which was embodied in his famous Theoria motus of 1809. His laborious researches on the theory of Pallas's motion, in whi::h he enlisted the help of several former students, provided the framework of a new mathematical formu- lation of the problem whose solution can now be easily effected thanks to modern computational techniques. -
History of Computer Science
HISTORY OF COMPUTER SCIENCE Gordana Dodig - Crnkovic, e-mail: [email protected] 1 A group of students at the Department of Electrical Engineering University of Pennsylvania have designed "ENIAC(TM)-on-a-Chip", under supervision of Professor J. Van der Spiegel, in collaboration with Dr. F. Ketterer. This was done as part of Eniac's 50th Anniversary Celebration. They have integrated the whole "ENIAC" on a 7.44 by 5.29 sq. mm chip using a 0.5 micrometer CMOS technology. 2 Table of Contents INTRODUCTION: MILESTONES IN THE DEVELOPMENT OF COMPUTERS ...............4 Before 1900: First Computing Devices ..................................................................................4 1900 – 1939 The Rise of Mathematics...................................................................................6 1940's: First Electronic Digital Computer..............................................................................6 1950's......................................................................................................................................7 1960's......................................................................................................................................7 1970's......................................................................................................................................8 1980's......................................................................................................................................8 1990's and Beyond..................................................................................................................9 -
Forming the Analytical Society at Cambridge University
Forming the Analytical Society at Cambridge University Richard Stout Gordon College Wenham, MA The Analytical Society, an organization begun by students at Cambridge, was founded in 1812. Even though it was entirely student-led, the society was responsible for significant changes in the Cambridge mathematics curriculum and in the way mathematics was perceived in Britain throughout the nineteenth century. Its success was likely due to the outstanding students who formed the group, some of whom went on to become leaders in British science and mathematics for the next fifty years. In this paper we will briefly look at several of those who played important roles in forming and leading the society and we will consider the circumstances leading to its formation. In the fall of 1809, John Frederick William Herschel (1792 – 1871) matriculated at St. John’s College, one of the two largest colleges at Cambridge University. A serious student of mathematics, Herschel came from a privileged, upper-class family. When it didn’t work out for Herschel to be away at school, his family was able to hire a private tutor and allow Herschel to finish his education at home. Because his father, William Herschel, was a world-renowned astronomer--he discovered the planet Uranus--John Herschel likely grew up accustomed to scientific talk and held to high expectations. At Cambridge Herschel would distinguish himself as a superior student, finishing as the senior wrangler in 1813. After graduating from Cambridge Herschel was elected to the Royal Society and became a fellow of St. John’s. Although he continued to do mathematics for several years, primarily as an avocation, Herschel eventually followed in his father’s footsteps and became a distinguished astronomer. -
A Selection of New Arrivals September 2017
A selection of new arrivals September 2017 Rare and important books & manuscripts in science and medicine, by Christian Westergaard. Flæsketorvet 68 – 1711 København V – Denmark Cell: (+45)27628014 www.sophiararebooks.com AMPERE, Andre-Marie. Mémoire. INSCRIBED BY AMPÈRE TO FARADAY AMPÈRE, André-Marie. Mémoire sur l’action mutuelle d’un conducteur voltaïque et d’un aimant. Offprint from Nouveaux Mémoires de l’Académie royale des sciences et belles-lettres de Bruxelles, tome IV, 1827. Bound with 18 other pamphlets (listed below). [Colophon:] Brussels: Hayez, Imprimeur de l’Académie Royale, 1827. $38,000 4to (265 x 205 mm). Contemporary quarter-cloth and plain boards (very worn and broken, with most of the spine missing), entirely unrestored. Preserved in a custom cloth box. First edition of the very rare offprint, with the most desirable imaginable provenance: this copy is inscribed by Ampère to Michael Faraday. It thus links the two great founders of electromagnetism, following its discovery by Hans Christian Oersted (1777-1851) in April 1820. The discovery by Ampère (1775-1836), late in the same year, of the force acting between current-carrying conductors was followed a year later by Faraday’s (1791-1867) first great discovery, that of electromagnetic rotation, the first conversion of electrical into mechanical energy. This development was a challenge to Ampère’s mathematically formulated explanation of electromagnetism as a manifestation of currents of electrical fluids surrounding ‘electrodynamic’ molecules; indeed, Faraday directly criticised Ampère’s theory, preferring his own explanation in terms of ‘lines of force’ (which had to wait for James Clerk Maxwell (1831-79) for a precise mathematical formulation). -
Genevieve Mathieson
THOMAS YOUNG, QUAKER SCIENTIST by GENEVIEVE MATHIESON Submitted in partial fulfillment of the requirements For the degree of Master of Arts Thesis Advisor: Dr. Gillian Weiss Department of History CASE WESTERN RESERVE UNIVERSITY January, 2008 CASE WESTERN RESERVE UNIVERSITY SCHOOL OF GRADUATE STUDIES We hereby approve the thesis/dissertation of ______________________________________________________ candidate for the ________________________________degree *. (signed)_______________________________________________ (chair of the committee) ________________________________________________ ________________________________________________ ________________________________________________ ________________________________________________ ________________________________________________ (date) _______________________ *We also certify that written approval has been obtained for any proprietary material contained therein. ii Table of Contents Acknowledgements............................................................................................................iii Abstract.............................................................................................................................. iv I. Introduction ..................................................................................................................... 1 II. The Life and Work of Thomas Young........................................................................... 3 Childhood and Education as a Quaker........................................................................... -
This Work Is Licensed Under a Creative Commons Attribution 4.0 International License. %
THE ANALYTICAL SOCIETY: MATHEMATICS AT CAMBRIDGE UNIVERSITY ’IN THE EARLY NINETEENTH CENTURY by Philip Charles Enros ■ - i . ' ■ ^ , a Institute for the History and Philosophy of Science and Technology A thesis submitted in conformity with the requirements for the Degree of Doctor of Philosophy in the University of Toronto © Philip Charles Enros 1979 This work is licensed under a Creative Commons Attribution 4.0 International License. % UNIVERSITY OF TORONTO SCHOOL OF .GRADUATE STUDIES PROGRAM OF THE FINAL ORAL EXAMINATION FOR THE DEGREE OF DOCTOR OF PHILOSOPHY OF PHILIP CHARLES ENROS 10:00 a.m., Friday, October 5, 1979 Room 111, 63 St. George Street THE ANALYTICAL SOCIETY: MATHEMATICS AT CAMBRIDGE UNIVERSITY IN THE EARLY NINETEENTH CENTURY Committee in Charge: Professor C.R. Morey, Chairman Professor E. Barbeau Professor M.-Crowe, External Appraiser Professor S. Eisen Professor'R.J. Helmstadter Professor T.H. Levere, /Supervisor Professor I. Winchester Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. Abstract The thesis is a study of the Analytical Society (1812- 1813) of Cambridge University. Its purpose i£ to present a detailed history of the Society, of which little has previously been known, in or/3er to obtain an insight into the reasons for the transition in Cambridge mathematics in the early nineteenth century. A large part of. the content^of the thesis is based'on research-in extensive manuscript sources, especially various Charles Babbage and John Herschel collections. Two chap'ters in the thesis are devoted to theNjjackground to the Analytical Society. The curriculum of the University of Cambridge and the prominent position of mathematics there are examined.