L'Hôpital's Analyse des infiniments petits: An Annotated Translation with Source Material by Johann Bernoulli
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| Main Authors: | , , |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cham [u.a.]
Springer International Publishing
2015
|
| Series: | Science Networks. Historical Studies
50 |
| Subjects: | |
| Online Access: | BTU01 FRO01 TUM01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract |
| Physical Description: | 1 Online-Ressource (LIV, 311 p. 244 illus., 5 illus. in color) |
| ISBN: | 9783319171159 |
| ISSN: | 1421-6329 |
| DOI: | 10.1007/978-3-319-17115-9 |
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Record in the Search Index
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| adam_text | L’HOPITAL S ANALYSE DES INFINIMENTS PETITS
/ BRADLEY, ROBERT E.
: 2015
TABLE OF CONTENTS / INHALTSVERZEICHNIS
INTRODUCTION
L HOPITAL S PREFACE
IN WHICH WE GIVE THE RULES OF THIS CALCULUS
USE OF THE DIFFERENTIAL CALCULUS FOR FINDING THE TANGENTS OF ALL KINDS
OF CURVED LINES
USE OF THE DIFFERENTIAL CALCULUS FOR FINDING THE GREATEST AND THE LEAST
ORDINATES, TO WHICH ARE REDUCED QUESTIONS DE MAXIMIS & MINIMIS
USE OF THE DIFFERENTIAL CALCULUS FOR FINDING INFLECTION POINTS AND CUSPS
USE OF THE DIFFERENTIAL CALCULUS FOR FINDING CAUSTICS BY REFLECTION
USE OF THE DIFFERENTIAL CALCULUS FOR FINDING CAUSTICS BY REFRACTION
USE OF THE DIFFERENTIAL CALCULUS FOR FINDING THE POINTS OF CURVED
LINES THAT TOUCH AN INFINITY OF LINES GIVEN IN POSITION, WHETHER
STRAIGHT OR CURVED
THE SOLUTION OF SEVERAL PROBLEMS THAT DEPEND UPON THE PREVIOUS METHODS
A NEW METHOD FOR USING THE DIFFERENTIAL CALCULUS WITH GEOMETRIC CURVES,
FROM WHICH WE DEDUCE THE METHOD OF MESSRS, DESCARTES, AND HUDDE
APPENDICES
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
L’HOPITAL S ANALYSE DES INFINIMENTS PETITS
/ BRADLEY, ROBERT E.
: 2015
ABSTRACT / INHALTSTEXT
THIS MONOGRAPH IS AN ANNOTATED TRANSLATION OF WHAT IS CONSIDERED TO BE
THE WORLD’S FIRST CALCULUS TEXTBOOK, ORIGINALLY PUBLISHED IN FRENCH IN
1696. THAT ANONYMOUSLY PUBLISHED TEXTBOOK ON DIFFERENTIAL CALCULUS WAS
BASED ON LECTURES GIVEN TO THE MARQUIS DE L’HOPITAL IN 1691-2 BY THE
GREAT SWISS MATHEMATICIAN, JOHANN BERNOULLI. IN THE 1920S, A COPY OF
BERNOULLI’S LECTURE NOTES WAS DISCOVERED IN A LIBRARY IN BASEL, WHICH
PRESENTED THE OPPORTUNITY TO COMPARE BERNOULLI’S NOTES, IN LATIN, TO
L’HOPITAL’S TEXT IN FRENCH. THE SIMILARITIES ARE REMARKABLE, BUT
THERE IS ALSO MUCH IN L’HOPITAL’S BOOK THAT IS ORIGINAL AND
INNOVATIVE. THIS BOOK OFFERS THE FIRST ENGLISH TRANSLATION OF
BERNOULLI S NOTES, ALONG WITH THE FIRST FAITHFUL ENGLISH TRANSLATION OF
L’HOPITAL’S TEXT, COMPLETE WITH ANNOTATIONS AND COMMENTARY.
ADDITIONALLY, A SIGNIFICANT PORTION OF THE CORRESPONDENCE BETWEEN
L’HOPITAL AND BERNOULLI HAS BEEN INCLUDED, ALSO FOR THE FI RST TIME
IN ENGLISH TRANSLATION. THIS TRANSLATION WILL PROVIDE STUDENTS AND
RESEARCHERS WITH DIRECT ACCESS TO BERNOULLI’S IDEAS AND
L’HOPITAL’S INNOVATIONS. BOTH ENTHUSIASTS AND SCHOLARS OF THE
HISTORY OF SCIENCE AND THE HISTORY OF MATHEMATICS WILL FI ND FOOD FOR
THOUGHT IN THE TEXTS AND NOTES OF THE MARQUIS DE L’HOPITAL AND HIS
TEACHER, JOHANN BERNOULLI
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Bradley, Robert E. Petrilli, Salvatore J. Sandifer, Charles Edward 1951- |
| author_GND | (DE-588)142319309 (DE-588)138206724 |
| author_facet | Bradley, Robert E. Petrilli, Salvatore J. Sandifer, Charles Edward 1951- |
| author_role | aut aut aut |
| author_sort | Bradley, Robert E. |
| author_variant | r e b re reb s j p sj sjp c e s ce ces |
| building | Verbundindex |
| bvnumber | BV042730496 |
| classification_rvk | SG 600 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA |
| ctrlnum | (OCoLC)1015824874 (DE-599)BVBBV042730496 |
| dewey-full | 510.9 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
| dewey-raw | 510.9 |
| dewey-search | 510.9 |
| dewey-sort | 3510.9 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-319-17115-9 |
| era | Geschichte 1696 gnd |
| era_facet | Geschichte 1696 |
| format | Electronic eBook |
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| id | DE-604.BV042730496 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:08:24Z |
| institution | BVB |
| isbn | 9783319171159 |
| issn | 1421-6329 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028161526 |
| oclc_num | 1015824874 |
| open_access_boolean | |
| owner | DE-739 DE-634 DE-861 DE-703 DE-19 DE-BY-UBM DE-91 DE-BY-TUM DE-83 DE-20 |
| owner_facet | DE-739 DE-634 DE-861 DE-703 DE-19 DE-BY-UBM DE-91 DE-BY-TUM DE-83 DE-20 |
| physical | 1 Online-Ressource (LIV, 311 p. 244 illus., 5 illus. in color) |
| psigel | ZDB-2-SMA UBY_PDA_SMA ZDB-2-SMA_2015 |
| publishDate | 2015 |
| publishDateSearch | 2015 |
| publishDateSort | 2015 |
| publisher | Springer International Publishing |
| record_format | marc |
| series | Science Networks. Historical Studies |
| series2 | Science Networks. Historical Studies |
| spelling | Bradley, Robert E. Verfasser (DE-588)142319309 aut L'Hôpital's Analyse des infiniments petits An Annotated Translation with Source Material by Johann Bernoulli by Robert E Bradley, Salvatore J. Petrilli, C. Edward Sandifer Cham [u.a.] Springer International Publishing 2015 1 Online-Ressource (LIV, 311 p. 244 illus., 5 illus. in color) txt rdacontent c rdamedia cr rdacarrier Science Networks. Historical Studies 50 1421-6329 Bernoulli, Johann 1667-1748 (DE-588)118509969 gnd rswk-swf L'Hôpital, Guillaume François Antoine de 1661-1704 Analyse des infiniments petits (DE-588)1076796958 gnd rswk-swf Geschichte 1696 gnd rswk-swf Mathematics Integral equations Global differential geometry History of Mathematical Sciences Integral Equations Differential Geometry Mathematik Integralgleichung (DE-588)4027229-1 gnd rswk-swf Differentialgleichung (DE-588)4012249-9 gnd rswk-swf Geometrie (DE-588)4020236-7 gnd rswk-swf 1\p (DE-588)4135952-5 Quelle gnd-content Bernoulli, Johann 1667-1748 (DE-588)118509969 p Geometrie (DE-588)4020236-7 s Differentialgleichung (DE-588)4012249-9 s Integralgleichung (DE-588)4027229-1 s Geschichte 1696 z 2\p DE-604 L'Hôpital, Guillaume François Antoine de 1661-1704 Analyse des infiniments petits (DE-588)1076796958 u 3\p DE-604 Petrilli, Salvatore J. Verfasser aut Sandifer, Charles Edward 1951- Verfasser (DE-588)138206724 aut Erscheint auch als Druckausgabe 978-3-319-17114-2 Science Networks. Historical Studies 50 (DE-604)BV035421311 50 https://doi.org/10.1007/978-3-319-17115-9 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028161526&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028161526&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Bradley, Robert E. Petrilli, Salvatore J. Sandifer, Charles Edward 1951- L'Hôpital's Analyse des infiniments petits An Annotated Translation with Source Material by Johann Bernoulli Science Networks. Historical Studies Bernoulli, Johann 1667-1748 (DE-588)118509969 gnd L'Hôpital, Guillaume François Antoine de 1661-1704 Analyse des infiniments petits (DE-588)1076796958 gnd Mathematics Integral equations Global differential geometry History of Mathematical Sciences Integral Equations Differential Geometry Mathematik Integralgleichung (DE-588)4027229-1 gnd Differentialgleichung (DE-588)4012249-9 gnd Geometrie (DE-588)4020236-7 gnd |
| subject_GND | (DE-588)118509969 (DE-588)1076796958 (DE-588)4027229-1 (DE-588)4012249-9 (DE-588)4020236-7 (DE-588)4135952-5 |
| title | L'Hôpital's Analyse des infiniments petits An Annotated Translation with Source Material by Johann Bernoulli |
| title_auth | L'Hôpital's Analyse des infiniments petits An Annotated Translation with Source Material by Johann Bernoulli |
| title_exact_search | L'Hôpital's Analyse des infiniments petits An Annotated Translation with Source Material by Johann Bernoulli |
| title_full | L'Hôpital's Analyse des infiniments petits An Annotated Translation with Source Material by Johann Bernoulli by Robert E Bradley, Salvatore J. Petrilli, C. Edward Sandifer |
| title_fullStr | L'Hôpital's Analyse des infiniments petits An Annotated Translation with Source Material by Johann Bernoulli by Robert E Bradley, Salvatore J. Petrilli, C. Edward Sandifer |
| title_full_unstemmed | L'Hôpital's Analyse des infiniments petits An Annotated Translation with Source Material by Johann Bernoulli by Robert E Bradley, Salvatore J. Petrilli, C. Edward Sandifer |
| title_short | L'Hôpital's Analyse des infiniments petits |
| title_sort | l hopital s analyse des infiniments petits an annotated translation with source material by johann bernoulli |
| title_sub | An Annotated Translation with Source Material by Johann Bernoulli |
| topic | Bernoulli, Johann 1667-1748 (DE-588)118509969 gnd L'Hôpital, Guillaume François Antoine de 1661-1704 Analyse des infiniments petits (DE-588)1076796958 gnd Mathematics Integral equations Global differential geometry History of Mathematical Sciences Integral Equations Differential Geometry Mathematik Integralgleichung (DE-588)4027229-1 gnd Differentialgleichung (DE-588)4012249-9 gnd Geometrie (DE-588)4020236-7 gnd |
| topic_facet | Bernoulli, Johann 1667-1748 L'Hôpital, Guillaume François Antoine de 1661-1704 Analyse des infiniments petits Mathematics Integral equations Global differential geometry History of Mathematical Sciences Integral Equations Differential Geometry Mathematik Integralgleichung Differentialgleichung Geometrie Quelle |
| url | https://doi.org/10.1007/978-3-319-17115-9 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028161526&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028161526&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV035421311 |
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