An introduction to analysis:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Princeton ; Oxford
Princeton University Press
[2018]
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | x, 370 Seiten Illustrationen |
| ISBN: | 9780691178790 |
Staff View
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV044874001 | ||
| 003 | DE-604 | ||
| 005 | 20180928 | ||
| 007 | t | ||
| 008 | 180320s2018 a||| |||| 00||| eng d | ||
| 020 | |a 9780691178790 |c hardcover |9 978-0-691-17879-0 | ||
| 035 | |a (OCoLC)1035455145 | ||
| 035 | |a (DE-599)BSZ501081682 | ||
| 040 | |a DE-604 |b ger |e rda | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-19 |a DE-739 |a DE-634 |a DE-188 | ||
| 084 | |a SK 400 |0 (DE-625)143237: |2 rvk | ||
| 100 | 1 | |a Gunning, Robert C. |d 1931- |e Verfasser |0 (DE-588)119324326 |4 aut | |
| 245 | 1 | 0 | |a An introduction to analysis |c Robert C. Gunning |
| 264 | 1 | |a Princeton ; Oxford |b Princeton University Press |c [2018] | |
| 264 | 4 | |c © 2018 | |
| 300 | |a x, 370 Seiten |b Illustrationen | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 0 | 7 | |a Analysis |0 (DE-588)4001865-9 |2 gnd |9 rswk-swf |
| 655 | 7 | |0 (DE-588)4151278-9 |a Einführung |2 gnd-content | |
| 689 | 0 | 0 | |a Analysis |0 (DE-588)4001865-9 |D s |
| 689 | 0 | |5 DE-604 | |
| 856 | 4 | 2 | |m Digitalisierung UB Passau - ADAM Catalogue Enrichment |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030268371&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-030268371 | ||
Record in the Search Index
| _version_ | 1804178407114670080 |
|---|---|
| adam_text | Contents
Preface ix
1 Algebraic Fundamentals 1
1.1 Sets and Numbers 1
1.2 Groups, Rings, and Fields 13
1.3 Vector Spaces 30
2 Topological Fundamentals 62
2.1 Normed Spaces 62
2.2 Metric Spaces 72
2.3 Topological Spaces 87
2.4 Compact Sets 98
3 Mappings 110
3.1 Continuous Mappings no
3.2 Differentiable Mappings 129
3.3 Analytic Mappings 149
4 Linear Mappings 189
4.1 Endomorphisms 189
4.2 Inner Product Spaces 211
5 Geometry of Mappings 231
5.1 Inverse Mapping Theorem 231
5.2 Implicit Function Theorem 246
5.3 Rank Theorem 255
6 Integration 266
6.1 Riemann Integral 266
6.2 Calculation of Integrals 284
7 Differential Forms 304
7.1 Line Integrals 304
7.2 Differential Forms 318
7.3 Integrals of Differential Forms 338
Index 363
Index of Notation
369
|
| any_adam_object | 1 |
| author | Gunning, Robert C. 1931- |
| author_GND | (DE-588)119324326 |
| author_facet | Gunning, Robert C. 1931- |
| author_role | aut |
| author_sort | Gunning, Robert C. 1931- |
| author_variant | r c g rc rcg |
| building | Verbundindex |
| bvnumber | BV044874001 |
| classification_rvk | SK 400 |
| ctrlnum | (OCoLC)1035455145 (DE-599)BSZ501081682 |
| discipline | Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01339nam a2200337 c 4500</leader><controlfield tag="001">BV044874001</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20180928 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">180320s2018 a||| |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780691178790</subfield><subfield code="c">hardcover</subfield><subfield code="9">978-0-691-17879-0</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)1035455145</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BSZ501081682</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-19</subfield><subfield code="a">DE-739</subfield><subfield code="a">DE-634</subfield><subfield code="a">DE-188</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 400</subfield><subfield code="0">(DE-625)143237:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Gunning, Robert C.</subfield><subfield code="d">1931-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)119324326</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">An introduction to analysis</subfield><subfield code="c">Robert C. Gunning</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Princeton ; Oxford</subfield><subfield code="b">Princeton University Press</subfield><subfield code="c">[2018]</subfield></datafield><datafield tag="264" ind1=" " ind2="4"><subfield code="c">© 2018</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">x, 370 Seiten</subfield><subfield code="b">Illustrationen</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">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Analysis</subfield><subfield code="0">(DE-588)4001865-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="655" ind1=" " ind2="7"><subfield code="0">(DE-588)4151278-9</subfield><subfield code="a">Einführung</subfield><subfield code="2">gnd-content</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Analysis</subfield><subfield code="0">(DE-588)4001865-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">Digitalisierung UB Passau - ADAM Catalogue Enrichment</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030268371&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-030268371</subfield></datafield></record></collection> |
| genre | (DE-588)4151278-9 Einführung gnd-content |
| genre_facet | Einführung |
| id | DE-604.BV044874001 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T08:03:29Z |
| institution | BVB |
| isbn | 9780691178790 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030268371 |
| oclc_num | 1035455145 |
| open_access_boolean | |
| owner | DE-19 DE-BY-UBM DE-739 DE-634 DE-188 |
| owner_facet | DE-19 DE-BY-UBM DE-739 DE-634 DE-188 |
| physical | x, 370 Seiten Illustrationen |
| publishDate | 2018 |
| publishDateSearch | 2018 |
| publishDateSort | 2018 |
| publisher | Princeton University Press |
| record_format | marc |
| spelling | Gunning, Robert C. 1931- Verfasser (DE-588)119324326 aut An introduction to analysis Robert C. Gunning Princeton ; Oxford Princeton University Press [2018] © 2018 x, 370 Seiten Illustrationen txt rdacontent n rdamedia nc rdacarrier Analysis (DE-588)4001865-9 gnd rswk-swf (DE-588)4151278-9 Einführung gnd-content Analysis (DE-588)4001865-9 s DE-604 Digitalisierung UB Passau - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030268371&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Gunning, Robert C. 1931- An introduction to analysis Analysis (DE-588)4001865-9 gnd |
| subject_GND | (DE-588)4001865-9 (DE-588)4151278-9 |
| title | An introduction to analysis |
| title_auth | An introduction to analysis |
| title_exact_search | An introduction to analysis |
| title_full | An introduction to analysis Robert C. Gunning |
| title_fullStr | An introduction to analysis Robert C. Gunning |
| title_full_unstemmed | An introduction to analysis Robert C. Gunning |
| title_short | An introduction to analysis |
| title_sort | an introduction to analysis |
| topic | Analysis (DE-588)4001865-9 gnd |
| topic_facet | Analysis Einführung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030268371&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT gunningrobertc anintroductiontoanalysis |