A historian looks back :: the calculus as algebra and selected writings /
Judith Grabiner, the author of A Historian Looks Back, has long been interested in investigating what mathematicians actually do, and how mathematics actually has developed. She addresses the results of her investigations not principally to other historians, but to mathematicians and teachers of mat...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
[Washington, DC] :
Mathematical Association of America,
©2010.
|
| Schriftenreihe: | MAA spectrum.
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | Judith Grabiner, the author of A Historian Looks Back, has long been interested in investigating what mathematicians actually do, and how mathematics actually has developed. She addresses the results of her investigations not principally to other historians, but to mathematicians and teachers of mathematics. This book brings together much of what she has had to say to this audience. The centerpiece of the book is The Calculus as Algebra: J.-L. Lagrange, 1736-1813. The book describes the achievements, setbacks, and influence of Lagrange's pioneering attempt to reduce the calculus to algebra. Nine additional articles round out the book describing the history of the derivative; the origin of delta-epsilon proofs; Descartes and problem solving; the contrast between the calculus of Newton and Maclaurin, and that of Lagrange; Maclaurin's way of doing mathematics and science and his surprisingly important influence; some widely held 'myths' about the history of mathematics; Lagrange's attempt to prove Euclid's parallel postulate; and the central role that mathematics has played throughout the history of western civilization. |
| Beschreibung: | "Part I was formerly published as The calculus as algebra: J.-L. Lagrange, 1736-1813 by Garland Publishing, New York, 1990"--Preliminary page. |
| Beschreibung: | 1 online resource (xv, 287 pages) : illustrations |
| Bibliographie: | Includes bibliographical references and index. |
| ISBN: | 9781614445067 1614445060 |
Internformat
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| 246 | 3 | |a Calculus as algebra and selected writings | |
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| 504 | |a Includes bibliographical references and index. | ||
| 505 | 0 | 0 | |t The calculus as algebra -- |t The mathematician, the historian, and the history of mathematics -- |t Who gave you the epsilon? Cauchy and the origins of rigorous calculus -- |t The changing concept of change: the derivative from Fermat to Weierstrass -- |t The centrality of mathematics in the history of western thought -- |t Descartes and problem-solving -- |t The calculus as algebra, the calculus as geometry: Lagrange, Maclaurin, and their legacy -- |t Was Newton's calculus a dead end? the continental influence of Maclaurin's treatise of fluxions -- |t Newton, Maclaurin, and the authority of mathematics -- |t Why should historical truth matter to mathematicians? dispelling myths while promoting maths -- |t Why did Lagrange "prove" the parallel postulate? |
| 588 | 0 | |a Print version record. | |
| 520 | |a Judith Grabiner, the author of A Historian Looks Back, has long been interested in investigating what mathematicians actually do, and how mathematics actually has developed. She addresses the results of her investigations not principally to other historians, but to mathematicians and teachers of mathematics. This book brings together much of what she has had to say to this audience. The centerpiece of the book is The Calculus as Algebra: J.-L. Lagrange, 1736-1813. The book describes the achievements, setbacks, and influence of Lagrange's pioneering attempt to reduce the calculus to algebra. Nine additional articles round out the book describing the history of the derivative; the origin of delta-epsilon proofs; Descartes and problem solving; the contrast between the calculus of Newton and Maclaurin, and that of Lagrange; Maclaurin's way of doing mathematics and science and his surprisingly important influence; some widely held 'myths' about the history of mathematics; Lagrange's attempt to prove Euclid's parallel postulate; and the central role that mathematics has played throughout the history of western civilization. | ||
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| contents | The calculus as algebra -- The mathematician, the historian, and the history of mathematics -- Who gave you the epsilon? Cauchy and the origins of rigorous calculus -- The changing concept of change: the derivative from Fermat to Weierstrass -- The centrality of mathematics in the history of western thought -- Descartes and problem-solving -- The calculus as algebra, the calculus as geometry: Lagrange, Maclaurin, and their legacy -- Was Newton's calculus a dead end? the continental influence of Maclaurin's treatise of fluxions -- Newton, Maclaurin, and the authority of mathematics -- Why should historical truth matter to mathematicians? dispelling myths while promoting maths -- Why did Lagrange "prove" the parallel postulate? |
| ctrlnum | (OCoLC)796653831 |
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| dewey-ones | 515 - Analysis |
| dewey-raw | 515 |
| dewey-search | 515 |
| dewey-sort | 3515 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| genre | History fast |
| genre_facet | History |
| id | ZDB-4-EBA-ocn796653831 |
| illustrated | Illustrated |
| indexdate | 2024-11-27T13:18:27Z |
| institution | BVB |
| isbn | 9781614445067 1614445060 |
| language | English |
| oclc_num | 796653831 |
| open_access_boolean | |
| owner | MAIN DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource (xv, 287 pages) : illustrations |
| psigel | ZDB-4-EBA |
| publishDate | 2010 |
| publishDateSearch | 2010 |
| publishDateSort | 2010 |
| publisher | Mathematical Association of America, |
| record_format | marc |
| series | MAA spectrum. |
| series2 | Spectrum series |
| spelling | Grabiner, Judith V. http://id.loc.gov/authorities/names/n80161335 A historian looks back : the calculus as algebra and selected writings / by Judith V. Grabiner. Calculus as algebra and selected writings [Washington, DC] : Mathematical Association of America, ©2010. 1 online resource (xv, 287 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier data file rda Spectrum series "Part I was formerly published as The calculus as algebra: J.-L. Lagrange, 1736-1813 by Garland Publishing, New York, 1990"--Preliminary page. Includes bibliographical references and index. The calculus as algebra -- The mathematician, the historian, and the history of mathematics -- Who gave you the epsilon? Cauchy and the origins of rigorous calculus -- The changing concept of change: the derivative from Fermat to Weierstrass -- The centrality of mathematics in the history of western thought -- Descartes and problem-solving -- The calculus as algebra, the calculus as geometry: Lagrange, Maclaurin, and their legacy -- Was Newton's calculus a dead end? the continental influence of Maclaurin's treatise of fluxions -- Newton, Maclaurin, and the authority of mathematics -- Why should historical truth matter to mathematicians? dispelling myths while promoting maths -- Why did Lagrange "prove" the parallel postulate? Print version record. Judith Grabiner, the author of A Historian Looks Back, has long been interested in investigating what mathematicians actually do, and how mathematics actually has developed. She addresses the results of her investigations not principally to other historians, but to mathematicians and teachers of mathematics. This book brings together much of what she has had to say to this audience. The centerpiece of the book is The Calculus as Algebra: J.-L. Lagrange, 1736-1813. The book describes the achievements, setbacks, and influence of Lagrange's pioneering attempt to reduce the calculus to algebra. Nine additional articles round out the book describing the history of the derivative; the origin of delta-epsilon proofs; Descartes and problem solving; the contrast between the calculus of Newton and Maclaurin, and that of Lagrange; Maclaurin's way of doing mathematics and science and his surprisingly important influence; some widely held 'myths' about the history of mathematics; Lagrange's attempt to prove Euclid's parallel postulate; and the central role that mathematics has played throughout the history of western civilization. Calculus History. Functional analysis. http://id.loc.gov/authorities/subjects/sh85052312 Mathematics History. Calcul infinitésimal Histoire. Analyse fonctionnelle. Mathématiques Histoire. MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh MATHEMATICS History & Philosophy. bisacsh Calculus fast Functional analysis fast Mathematics fast Analyse (wiskunde) gtt Reprints. gtt Functionaalanalyse. gtt History fast Grabiner, Judith V. Calculus as algebra. has work: A historian looks back (Text) https://id.oclc.org/worldcat/entity/E39PCFQKTRXtbtkW6GMdHkxcmq https://id.oclc.org/worldcat/ontology/hasWork Print version: Grabiner, Judith V. Historian looks back. [Washington, DC] : Mathematical Association of America, ©2010 0883855720 (DLC) 2010927261 (OCoLC)653403624 MAA spectrum. http://id.loc.gov/authorities/names/n91122167 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=450225 Volltext |
| spellingShingle | Grabiner, Judith V. A historian looks back : the calculus as algebra and selected writings / MAA spectrum. The calculus as algebra -- The mathematician, the historian, and the history of mathematics -- Who gave you the epsilon? Cauchy and the origins of rigorous calculus -- The changing concept of change: the derivative from Fermat to Weierstrass -- The centrality of mathematics in the history of western thought -- Descartes and problem-solving -- The calculus as algebra, the calculus as geometry: Lagrange, Maclaurin, and their legacy -- Was Newton's calculus a dead end? the continental influence of Maclaurin's treatise of fluxions -- Newton, Maclaurin, and the authority of mathematics -- Why should historical truth matter to mathematicians? dispelling myths while promoting maths -- Why did Lagrange "prove" the parallel postulate? Calculus History. Functional analysis. http://id.loc.gov/authorities/subjects/sh85052312 Mathematics History. Calcul infinitésimal Histoire. Analyse fonctionnelle. Mathématiques Histoire. MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh MATHEMATICS History & Philosophy. bisacsh Calculus fast Functional analysis fast Mathematics fast Analyse (wiskunde) gtt Reprints. gtt Functionaalanalyse. gtt |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85052312 |
| title | A historian looks back : the calculus as algebra and selected writings / |
| title_alt | Calculus as algebra and selected writings The calculus as algebra -- The mathematician, the historian, and the history of mathematics -- Who gave you the epsilon? Cauchy and the origins of rigorous calculus -- The changing concept of change: the derivative from Fermat to Weierstrass -- The centrality of mathematics in the history of western thought -- Descartes and problem-solving -- The calculus as algebra, the calculus as geometry: Lagrange, Maclaurin, and their legacy -- Was Newton's calculus a dead end? the continental influence of Maclaurin's treatise of fluxions -- Newton, Maclaurin, and the authority of mathematics -- Why should historical truth matter to mathematicians? dispelling myths while promoting maths -- Why did Lagrange "prove" the parallel postulate? Calculus as algebra. |
| title_auth | A historian looks back : the calculus as algebra and selected writings / |
| title_exact_search | A historian looks back : the calculus as algebra and selected writings / |
| title_full | A historian looks back : the calculus as algebra and selected writings / by Judith V. Grabiner. |
| title_fullStr | A historian looks back : the calculus as algebra and selected writings / by Judith V. Grabiner. |
| title_full_unstemmed | A historian looks back : the calculus as algebra and selected writings / by Judith V. Grabiner. |
| title_short | A historian looks back : |
| title_sort | historian looks back the calculus as algebra and selected writings |
| title_sub | the calculus as algebra and selected writings / |
| topic | Calculus History. Functional analysis. http://id.loc.gov/authorities/subjects/sh85052312 Mathematics History. Calcul infinitésimal Histoire. Analyse fonctionnelle. Mathématiques Histoire. MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh MATHEMATICS History & Philosophy. bisacsh Calculus fast Functional analysis fast Mathematics fast Analyse (wiskunde) gtt Reprints. gtt Functionaalanalyse. gtt |
| topic_facet | Calculus History. Functional analysis. Mathematics History. Calcul infinitésimal Histoire. Analyse fonctionnelle. Mathématiques Histoire. MATHEMATICS Calculus. MATHEMATICS Mathematical Analysis. MATHEMATICS History & Philosophy. Calculus Functional analysis Mathematics Analyse (wiskunde) Reprints. Functionaalanalyse. History |
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