Foundations of Differential Calculus:
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
New York, NY
Springer New York
2000
|
| Schlagwörter: | |
| Links: | https://doi.org/10.1007/b97699 |
| Beschreibung: | What differential calculus, and, in general, analysis of the infinite, might be can hardly be explained to those innocent of any knowledge of it. Nor can we here offer a definition at the beginning of this dissertation as is sometimes done in other disciplines. It is not that there is no clear definition of this calculus; rather, the fact is that in order to understand the definition there are concepts that must first be understood. Besides those ideas in common usage, there are also others from finite analysis that are much less common and are usually explained in the course of the development of the differential calculus. For this reason, it is not possible to understand a definition before its principles are sufficiently clearly seen. In the first place, this calculus is concerned with variable quantities. Although every quantity can naturally be increased or decreased without limit, still, since calculus is directed to a certain purpose, we think of some quantities as being constantly the same magnitude, while others change through all the stages of increasing and decreasing. We note this distinction and call the former constant quantities and the latter variables. This characteristic difference is not required by the nature of things, but rather because of the special question addressed by the calculus |
| Umfang: | 1 Online-Ressource (XVI, 194 p) |
| ISBN: | 9780387226453 9780387985343 |
| DOI: | 10.1007/b97699 |
Internformat
MARC
| LEADER | 00000nam a2200000zc 4500 | ||
|---|---|---|---|
| 001 | BV042419059 | ||
| 003 | DE-604 | ||
| 005 | 20171106 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 150317s2000 xx o|||| 00||| eng d | ||
| 020 | |a 9780387226453 |c Online |9 978-0-387-22645-3 | ||
| 020 | |a 9780387985343 |c Print |9 978-0-387-98534-3 | ||
| 024 | 7 | |a 10.1007/b97699 |2 doi | |
| 035 | |a (OCoLC)704455126 | ||
| 035 | |a (DE-599)BVBBV042419059 | ||
| 040 | |a DE-604 |b ger |e aacr | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-384 |a DE-703 |a DE-91 |a DE-634 | ||
| 082 | 0 | |a 515.8 |2 23 | |
| 084 | |a MAT 000 |2 stub | ||
| 100 | 1 | |a Euler, Leonhard |d 1707-1783 |e Verfasser |0 (DE-588)118531379 |4 aut | |
| 245 | 1 | 0 | |a Foundations of Differential Calculus |c by Euler |
| 264 | 1 | |a New York, NY |b Springer New York |c 2000 | |
| 300 | |a 1 Online-Ressource (XVI, 194 p) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 500 | |a What differential calculus, and, in general, analysis of the infinite, might be can hardly be explained to those innocent of any knowledge of it. Nor can we here offer a definition at the beginning of this dissertation as is sometimes done in other disciplines. It is not that there is no clear definition of this calculus; rather, the fact is that in order to understand the definition there are concepts that must first be understood. Besides those ideas in common usage, there are also others from finite analysis that are much less common and are usually explained in the course of the development of the differential calculus. For this reason, it is not possible to understand a definition before its principles are sufficiently clearly seen. In the first place, this calculus is concerned with variable quantities. Although every quantity can naturally be increased or decreased without limit, still, since calculus is directed to a certain purpose, we think of some quantities as being constantly the same magnitude, while others change through all the stages of increasing and decreasing. We note this distinction and call the former constant quantities and the latter variables. This characteristic difference is not required by the nature of things, but rather because of the special question addressed by the calculus | ||
| 648 | 7 | |a Geschichte 1755 |2 gnd |9 rswk-swf | |
| 650 | 4 | |a Mathematics | |
| 650 | 4 | |a Real Functions | |
| 650 | 4 | |a Mathematik | |
| 650 | 0 | 7 | |a Quelle |0 (DE-588)4135952-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Differentialrechnung |0 (DE-588)4012252-9 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Differentialrechnung |0 (DE-588)4012252-9 |D s |
| 689 | 0 | 1 | |a Geschichte 1755 |A z |
| 689 | 0 | 2 | |a Quelle |0 (DE-588)4135952-5 |D s |
| 689 | 0 | |8 1\p |5 DE-604 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/b97699 |x Verlag |3 Volltext |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-BAE | ||
| 940 | 1 | |q ZDB-2-SMA_Archive | |
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-027854476 | |
Datensatz im Suchindex
| DE-BY-TUM_katkey | 2066069 |
|---|---|
| _version_ | 1821931177333751809 |
| any_adam_object | |
| author | Euler, Leonhard 1707-1783 |
| author_GND | (DE-588)118531379 |
| author_facet | Euler, Leonhard 1707-1783 |
| author_role | aut |
| author_sort | Euler, Leonhard 1707-1783 |
| author_variant | l e le |
| building | Verbundindex |
| bvnumber | BV042419059 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA ZDB-2-BAE |
| ctrlnum | (OCoLC)704455126 (DE-599)BVBBV042419059 |
| dewey-full | 515.8 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.8 |
| dewey-search | 515.8 |
| dewey-sort | 3515.8 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/b97699 |
| era | Geschichte 1755 gnd |
| era_facet | Geschichte 1755 |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02952nam a2200493zc 4500</leader><controlfield tag="001">BV042419059</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20171106 </controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">150317s2000 xx o|||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780387226453</subfield><subfield code="c">Online</subfield><subfield code="9">978-0-387-22645-3</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780387985343</subfield><subfield code="c">Print</subfield><subfield code="9">978-0-387-98534-3</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/b97699</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)704455126</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV042419059</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">aacr</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-384</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-91</subfield><subfield code="a">DE-634</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">515.8</subfield><subfield code="2">23</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 000</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Euler, Leonhard</subfield><subfield code="d">1707-1783</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)118531379</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Foundations of Differential Calculus</subfield><subfield code="c">by Euler</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">New York, NY</subfield><subfield code="b">Springer New York</subfield><subfield code="c">2000</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (XVI, 194 p)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">What differential calculus, and, in general, analysis of the infinite, might be can hardly be explained to those innocent of any knowledge of it. Nor can we here offer a definition at the beginning of this dissertation as is sometimes done in other disciplines. It is not that there is no clear definition of this calculus; rather, the fact is that in order to understand the definition there are concepts that must first be understood. Besides those ideas in common usage, there are also others from finite analysis that are much less common and are usually explained in the course of the development of the differential calculus. For this reason, it is not possible to understand a definition before its principles are sufficiently clearly seen. In the first place, this calculus is concerned with variable quantities. Although every quantity can naturally be increased or decreased without limit, still, since calculus is directed to a certain purpose, we think of some quantities as being constantly the same magnitude, while others change through all the stages of increasing and decreasing. We note this distinction and call the former constant quantities and the latter variables. This characteristic difference is not required by the nature of things, but rather because of the special question addressed by the calculus</subfield></datafield><datafield tag="648" ind1=" " ind2="7"><subfield code="a">Geschichte 1755</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Real Functions</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematik</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Quelle</subfield><subfield code="0">(DE-588)4135952-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Differentialrechnung</subfield><subfield code="0">(DE-588)4012252-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Differentialrechnung</subfield><subfield code="0">(DE-588)4012252-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Geschichte 1755</subfield><subfield code="A">z</subfield></datafield><datafield tag="689" ind1="0" ind2="2"><subfield code="a">Quelle</subfield><subfield code="0">(DE-588)4135952-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1007/b97699</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-2-SMA</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-2-BAE</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="q">ZDB-2-SMA_Archive</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-027854476</subfield></datafield></record></collection> |
| id | DE-604.BV042419059 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T17:10:39Z |
| institution | BVB |
| isbn | 9780387226453 9780387985343 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027854476 |
| oclc_num | 704455126 |
| open_access_boolean | |
| owner | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
| owner_facet | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
| physical | 1 Online-Ressource (XVI, 194 p) |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
| publishDate | 2000 |
| publishDateSearch | 2000 |
| publishDateSort | 2000 |
| publisher | Springer New York |
| record_format | marc |
| spellingShingle | Euler, Leonhard 1707-1783 Foundations of Differential Calculus Mathematics Real Functions Mathematik Quelle (DE-588)4135952-5 gnd Differentialrechnung (DE-588)4012252-9 gnd |
| subject_GND | (DE-588)4135952-5 (DE-588)4012252-9 |
| title | Foundations of Differential Calculus |
| title_auth | Foundations of Differential Calculus |
| title_exact_search | Foundations of Differential Calculus |
| title_full | Foundations of Differential Calculus by Euler |
| title_fullStr | Foundations of Differential Calculus by Euler |
| title_full_unstemmed | Foundations of Differential Calculus by Euler |
| title_short | Foundations of Differential Calculus |
| title_sort | foundations of differential calculus |
| topic | Mathematics Real Functions Mathematik Quelle (DE-588)4135952-5 gnd Differentialrechnung (DE-588)4012252-9 gnd |
| topic_facet | Mathematics Real Functions Mathematik Quelle Differentialrechnung |
| url | https://doi.org/10.1007/b97699 |
| work_keys_str_mv | AT eulerleonhard foundationsofdifferentialcalculus |