Vectors in three-dimensional space:
This book deals with vector algebra and analysis and with their application to three-dimensional geometry and the analysis of fields in three dimensions. While many treatments of the application of vectors have approached the fundamentals of the subject intuitively, assuming some prior knowledge of...
Gespeichert in:
1. Verfasser: | |
---|---|
Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Cambridge
Cambridge University Press
1978
|
Schlagworte: | |
Online-Zugang: | BSB01 FHN01 Volltext |
Zusammenfassung: | This book deals with vector algebra and analysis and with their application to three-dimensional geometry and the analysis of fields in three dimensions. While many treatments of the application of vectors have approached the fundamentals of the subject intuitively, assuming some prior knowledge of Euclidean and Cartesian geometry, Professor Chrisholm here bases the subject on the axioms of linear space algebra, which are fundamental to many branches of mathematics. While developing the properties of vectors from axioms, however, he continually emphasizes the geometrical interpretation of vector algebra in order to build up intuitive relations between the algebraic equations and geometrical concepts. Throughout, examples are used to illustrate the theory being developed; several sets of problems are incorporate in each chapter, and outline answers to many of these are given. Written primarily for undergraduate mathematicians in the early part of their courses, this lucidly written book will also appeal to mathematical physicists and to mathematically inclined engineers |
Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
Beschreibung: | 1 online resource (xii, 293 pages) |
ISBN: | 9780511569494 |
DOI: | 10.1017/CBO9780511569494 |
Internformat
MARC
LEADER | 00000nmm a2200000zc 4500 | ||
---|---|---|---|
001 | BV043945799 | ||
003 | DE-604 | ||
005 | 00000000000000.0 | ||
007 | cr|uuu---uuuuu | ||
008 | 161206s1978 |||| o||u| ||||||eng d | ||
020 | |a 9780511569494 |c Online |9 978-0-511-56949-4 | ||
024 | 7 | |a 10.1017/CBO9780511569494 |2 doi | |
035 | |a (ZDB-20-CBO)CR9780511569494 | ||
035 | |a (OCoLC)849785489 | ||
035 | |a (DE-599)BVBBV043945799 | ||
040 | |a DE-604 |b ger |e rda | ||
041 | 0 | |a eng | |
049 | |a DE-12 |a DE-92 | ||
082 | 0 | |a 515/.63 |2 18eng | |
084 | |a SK 220 |0 (DE-625)143224: |2 rvk | ||
084 | |a SK 370 |0 (DE-625)143234: |2 rvk | ||
100 | 1 | |a Chisholm, J. S. R. |e Verfasser |4 aut | |
245 | 1 | 0 | |a Vectors in three-dimensional space |c J.S.R. Chisholm |
264 | 1 | |a Cambridge |b Cambridge University Press |c 1978 | |
300 | |a 1 online resource (xii, 293 pages) | ||
336 | |b txt |2 rdacontent | ||
337 | |b c |2 rdamedia | ||
338 | |b cr |2 rdacarrier | ||
500 | |a Title from publisher's bibliographic system (viewed on 05 Oct 2015) | ||
520 | |a This book deals with vector algebra and analysis and with their application to three-dimensional geometry and the analysis of fields in three dimensions. While many treatments of the application of vectors have approached the fundamentals of the subject intuitively, assuming some prior knowledge of Euclidean and Cartesian geometry, Professor Chrisholm here bases the subject on the axioms of linear space algebra, which are fundamental to many branches of mathematics. While developing the properties of vectors from axioms, however, he continually emphasizes the geometrical interpretation of vector algebra in order to build up intuitive relations between the algebraic equations and geometrical concepts. Throughout, examples are used to illustrate the theory being developed; several sets of problems are incorporate in each chapter, and outline answers to many of these are given. Written primarily for undergraduate mathematicians in the early part of their courses, this lucidly written book will also appeal to mathematical physicists and to mathematically inclined engineers | ||
650 | 4 | |a Vector algebra | |
650 | 4 | |a Vector analysis | |
650 | 0 | 7 | |a Vektorrechnung |0 (DE-588)4062471-7 |2 gnd |9 rswk-swf |
650 | 0 | 7 | |a Analytische Geometrie |0 (DE-588)4001867-2 |2 gnd |9 rswk-swf |
689 | 0 | 0 | |a Analytische Geometrie |0 (DE-588)4001867-2 |D s |
689 | 0 | |8 1\p |5 DE-604 | |
689 | 1 | 0 | |a Vektorrechnung |0 (DE-588)4062471-7 |D s |
689 | 1 | |8 2\p |5 DE-604 | |
776 | 0 | 8 | |i Erscheint auch als |n Druckausgabe |z 978-0-521-21832-0 |
776 | 0 | 8 | |i Erscheint auch als |n Druckausgabe |z 978-0-521-29289-4 |
856 | 4 | 0 | |u https://doi.org/10.1017/CBO9780511569494 |x Verlag |z URL des Erstveröffentlichers |3 Volltext |
912 | |a ZDB-20-CBO | ||
999 | |a oai:aleph.bib-bvb.de:BVB01-029354770 | ||
883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
883 | 1 | |8 2\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
966 | e | |u https://doi.org/10.1017/CBO9780511569494 |l BSB01 |p ZDB-20-CBO |q BSB_PDA_CBO |x Verlag |3 Volltext | |
966 | e | |u https://doi.org/10.1017/CBO9780511569494 |l FHN01 |p ZDB-20-CBO |q FHN_PDA_CBO |x Verlag |3 Volltext |
Datensatz im Suchindex
_version_ | 1804176892377432064 |
---|---|
any_adam_object | |
author | Chisholm, J. S. R. |
author_facet | Chisholm, J. S. R. |
author_role | aut |
author_sort | Chisholm, J. S. R. |
author_variant | j s r c jsr jsrc |
building | Verbundindex |
bvnumber | BV043945799 |
classification_rvk | SK 220 SK 370 |
collection | ZDB-20-CBO |
ctrlnum | (ZDB-20-CBO)CR9780511569494 (OCoLC)849785489 (DE-599)BVBBV043945799 |
dewey-full | 515/.63 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 515 - Analysis |
dewey-raw | 515/.63 |
dewey-search | 515/.63 |
dewey-sort | 3515 263 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
doi_str_mv | 10.1017/CBO9780511569494 |
format | Electronic eBook |
fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>03184nmm a2200529zc 4500</leader><controlfield tag="001">BV043945799</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">161206s1978 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780511569494</subfield><subfield code="c">Online</subfield><subfield code="9">978-0-511-56949-4</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1017/CBO9780511569494</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ZDB-20-CBO)CR9780511569494</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)849785489</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV043945799</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-12</subfield><subfield code="a">DE-92</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">515/.63</subfield><subfield code="2">18eng</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 220</subfield><subfield code="0">(DE-625)143224:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 370</subfield><subfield code="0">(DE-625)143234:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Chisholm, J. S. R.</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Vectors in three-dimensional space</subfield><subfield code="c">J.S.R. Chisholm</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Cambridge</subfield><subfield code="b">Cambridge University Press</subfield><subfield code="c">1978</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource (xii, 293 pages)</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">Title from publisher's bibliographic system (viewed on 05 Oct 2015)</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">This book deals with vector algebra and analysis and with their application to three-dimensional geometry and the analysis of fields in three dimensions. While many treatments of the application of vectors have approached the fundamentals of the subject intuitively, assuming some prior knowledge of Euclidean and Cartesian geometry, Professor Chrisholm here bases the subject on the axioms of linear space algebra, which are fundamental to many branches of mathematics. While developing the properties of vectors from axioms, however, he continually emphasizes the geometrical interpretation of vector algebra in order to build up intuitive relations between the algebraic equations and geometrical concepts. Throughout, examples are used to illustrate the theory being developed; several sets of problems are incorporate in each chapter, and outline answers to many of these are given. Written primarily for undergraduate mathematicians in the early part of their courses, this lucidly written book will also appeal to mathematical physicists and to mathematically inclined engineers</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Vector algebra</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Vector analysis</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Vektorrechnung</subfield><subfield code="0">(DE-588)4062471-7</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Analytische Geometrie</subfield><subfield code="0">(DE-588)4001867-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Analytische Geometrie</subfield><subfield code="0">(DE-588)4001867-2</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="689" ind1="1" ind2="0"><subfield code="a">Vektorrechnung</subfield><subfield code="0">(DE-588)4062471-7</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="8">2\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druckausgabe</subfield><subfield code="z">978-0-521-21832-0</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druckausgabe</subfield><subfield code="z">978-0-521-29289-4</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1017/CBO9780511569494</subfield><subfield code="x">Verlag</subfield><subfield code="z">URL des Erstveröffentlichers</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-20-CBO</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-029354770</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="883" ind1="1" ind2=" "><subfield code="8">2\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="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1017/CBO9780511569494</subfield><subfield code="l">BSB01</subfield><subfield code="p">ZDB-20-CBO</subfield><subfield code="q">BSB_PDA_CBO</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1017/CBO9780511569494</subfield><subfield code="l">FHN01</subfield><subfield code="p">ZDB-20-CBO</subfield><subfield code="q">FHN_PDA_CBO</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield></record></collection> |
id | DE-604.BV043945799 |
illustrated | Not Illustrated |
indexdate | 2024-07-10T07:39:24Z |
institution | BVB |
isbn | 9780511569494 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029354770 |
oclc_num | 849785489 |
open_access_boolean | |
owner | DE-12 DE-92 |
owner_facet | DE-12 DE-92 |
physical | 1 online resource (xii, 293 pages) |
psigel | ZDB-20-CBO ZDB-20-CBO BSB_PDA_CBO ZDB-20-CBO FHN_PDA_CBO |
publishDate | 1978 |
publishDateSearch | 1978 |
publishDateSort | 1978 |
publisher | Cambridge University Press |
record_format | marc |
spelling | Chisholm, J. S. R. Verfasser aut Vectors in three-dimensional space J.S.R. Chisholm Cambridge Cambridge University Press 1978 1 online resource (xii, 293 pages) txt rdacontent c rdamedia cr rdacarrier Title from publisher's bibliographic system (viewed on 05 Oct 2015) This book deals with vector algebra and analysis and with their application to three-dimensional geometry and the analysis of fields in three dimensions. While many treatments of the application of vectors have approached the fundamentals of the subject intuitively, assuming some prior knowledge of Euclidean and Cartesian geometry, Professor Chrisholm here bases the subject on the axioms of linear space algebra, which are fundamental to many branches of mathematics. While developing the properties of vectors from axioms, however, he continually emphasizes the geometrical interpretation of vector algebra in order to build up intuitive relations between the algebraic equations and geometrical concepts. Throughout, examples are used to illustrate the theory being developed; several sets of problems are incorporate in each chapter, and outline answers to many of these are given. Written primarily for undergraduate mathematicians in the early part of their courses, this lucidly written book will also appeal to mathematical physicists and to mathematically inclined engineers Vector algebra Vector analysis Vektorrechnung (DE-588)4062471-7 gnd rswk-swf Analytische Geometrie (DE-588)4001867-2 gnd rswk-swf Analytische Geometrie (DE-588)4001867-2 s 1\p DE-604 Vektorrechnung (DE-588)4062471-7 s 2\p DE-604 Erscheint auch als Druckausgabe 978-0-521-21832-0 Erscheint auch als Druckausgabe 978-0-521-29289-4 https://doi.org/10.1017/CBO9780511569494 Verlag URL des Erstveröffentlichers Volltext 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 |
spellingShingle | Chisholm, J. S. R. Vectors in three-dimensional space Vector algebra Vector analysis Vektorrechnung (DE-588)4062471-7 gnd Analytische Geometrie (DE-588)4001867-2 gnd |
subject_GND | (DE-588)4062471-7 (DE-588)4001867-2 |
title | Vectors in three-dimensional space |
title_auth | Vectors in three-dimensional space |
title_exact_search | Vectors in three-dimensional space |
title_full | Vectors in three-dimensional space J.S.R. Chisholm |
title_fullStr | Vectors in three-dimensional space J.S.R. Chisholm |
title_full_unstemmed | Vectors in three-dimensional space J.S.R. Chisholm |
title_short | Vectors in three-dimensional space |
title_sort | vectors in three dimensional space |
topic | Vector algebra Vector analysis Vektorrechnung (DE-588)4062471-7 gnd Analytische Geometrie (DE-588)4001867-2 gnd |
topic_facet | Vector algebra Vector analysis Vektorrechnung Analytische Geometrie |
url | https://doi.org/10.1017/CBO9780511569494 |
work_keys_str_mv | AT chisholmjsr vectorsinthreedimensionalspace |