From the Calculus to Set Theory 1630-1910 : : An Introductory History / / ed. by I. Grattan-Guinness.
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 fro...
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| Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2020] ©2001 |
| Year of Publication: | 2020 |
| Language: | English |
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From the Calculus to Set Theory 1630-1910 : An Introductory History / ed. by I. Grattan-Guinness. Princeton, NJ : Princeton University Press, [2020] ©2001 1 online resource (320 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Frontmatter -- Contents -- Preface to the Princeton Edition -- 0. Introductions and explanations -- 1. Techniques of the calculus, 1630-1660 -- 2. Newton, Leibniz and the Leibnizian tradition -- 3. The emergence of mathematical analysis and its foundational progress, 1780-1880 -- 4. The origins of modern theories of integration -- 5. The development of Cantorian set theory -- 6. Developments in the foundations of mathematics, 1870-1910 -- Bibliography -- Name Index -- Subject Index restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star 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. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 30. Aug 2021) MATHEMATICS / History & Philosophy. bisacsh Ada eruditorum. Adequality. Arithmetic. Astronomy. Berlin. Consistency. Continuity. Decimal expansion. Definitions. Difference "ient. Equations. Fourier series. Geometry. Greek mathematics. Heat diffusion. Heine-Borel theorem. Indivisibles. Inequalities. Integration. Line-segments. Mathematical analysis. Mathematische Annalen. Measure theory. Optics. Paris. Quantification. Sequence(s). Series. Statics. Substitution. Textbooks. Time. Trichotomy law. Use and mention. Variable(s). Vicious circles. Wallis's product. Bos, H. J. M., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Bunn, R., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Dauben, Joseph W., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Grattan-Guinness, I., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Grattan-Guinness, I., editor. edt http://id.loc.gov/vocabulary/relators/edt Hawkins, Thomas, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Møller Pedersen, Kirsti, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Backlist 2000-2013 9783110442502 https://doi.org/10.1515/9780691219660?locatt=mode:legacy https://www.degruyter.com/isbn/9780691219660 Cover https://www.degruyter.com/cover/covers/9780691219660.jpg |
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English |
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eBook |
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Bos, H. J. M., Bos, H. J. M., Bunn, R., Bunn, R., Dauben, Joseph W., Dauben, Joseph W., Grattan-Guinness, I., Grattan-Guinness, I., Grattan-Guinness, I., Grattan-Guinness, I., Hawkins, Thomas, Hawkins, Thomas, Møller Pedersen, Kirsti, Møller Pedersen, Kirsti, |
| author_facet |
Bos, H. J. M., Bos, H. J. M., Bunn, R., Bunn, R., Dauben, Joseph W., Dauben, Joseph W., Grattan-Guinness, I., Grattan-Guinness, I., Grattan-Guinness, I., Grattan-Guinness, I., Hawkins, Thomas, Hawkins, Thomas, Møller Pedersen, Kirsti, Møller Pedersen, Kirsti, |
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MitwirkendeR MitwirkendeR MitwirkendeR MitwirkendeR MitwirkendeR MitwirkendeR MitwirkendeR MitwirkendeR HerausgeberIn HerausgeberIn MitwirkendeR MitwirkendeR MitwirkendeR MitwirkendeR |
| author_sort |
Bos, H. J. M., |
| title |
From the Calculus to Set Theory 1630-1910 : An Introductory History / |
| spellingShingle |
From the Calculus to Set Theory 1630-1910 : An Introductory History / Frontmatter -- Contents -- Preface to the Princeton Edition -- 0. Introductions and explanations -- 1. Techniques of the calculus, 1630-1660 -- 2. Newton, Leibniz and the Leibnizian tradition -- 3. The emergence of mathematical analysis and its foundational progress, 1780-1880 -- 4. The origins of modern theories of integration -- 5. The development of Cantorian set theory -- 6. Developments in the foundations of mathematics, 1870-1910 -- Bibliography -- Name Index -- Subject Index |
| title_sub |
An Introductory History / |
| title_full |
From the Calculus to Set Theory 1630-1910 : An Introductory History / ed. by I. Grattan-Guinness. |
| title_fullStr |
From the Calculus to Set Theory 1630-1910 : An Introductory History / ed. by I. Grattan-Guinness. |
| title_full_unstemmed |
From the Calculus to Set Theory 1630-1910 : An Introductory History / ed. by I. Grattan-Guinness. |
| title_auth |
From the Calculus to Set Theory 1630-1910 : An Introductory History / |
| title_alt |
Frontmatter -- Contents -- Preface to the Princeton Edition -- 0. Introductions and explanations -- 1. Techniques of the calculus, 1630-1660 -- 2. Newton, Leibniz and the Leibnizian tradition -- 3. The emergence of mathematical analysis and its foundational progress, 1780-1880 -- 4. The origins of modern theories of integration -- 5. The development of Cantorian set theory -- 6. Developments in the foundations of mathematics, 1870-1910 -- Bibliography -- Name Index -- Subject Index |
| title_new |
From the Calculus to Set Theory 1630-1910 : |
| title_sort |
from the calculus to set theory 1630-1910 : an introductory history / |
| publisher |
Princeton University Press, |
| publishDate |
2020 |
| physical |
1 online resource (320 p.) |
| contents |
Frontmatter -- Contents -- Preface to the Princeton Edition -- 0. Introductions and explanations -- 1. Techniques of the calculus, 1630-1660 -- 2. Newton, Leibniz and the Leibnizian tradition -- 3. The emergence of mathematical analysis and its foundational progress, 1780-1880 -- 4. The origins of modern theories of integration -- 5. The development of Cantorian set theory -- 6. Developments in the foundations of mathematics, 1870-1910 -- Bibliography -- Name Index -- Subject Index |
| isbn |
9780691219660 9783110442502 |
| url |
https://doi.org/10.1515/9780691219660?locatt=mode:legacy https://www.degruyter.com/isbn/9780691219660 https://www.degruyter.com/cover/covers/9780691219660.jpg |
| illustrated |
Not Illustrated |
| doi_str_mv |
10.1515/9780691219660?locatt=mode:legacy |
| oclc_num |
1202625056 |
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From the Calculus to Set Theory 1630-1910 : An Introductory History / |
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