A theory of differentiation in locally convex spaces:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, RI
1979
|
| Schriftenreihe: | American Mathematical Society: Memoirs of the American Mathematical Society
212 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Volume 17, Number 212 (end of volume) |
| Beschreibung: | III, 82 S. |
| ISBN: | 0821822128 |
Internformat
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV003622094 | ||
| 003 | DE-604 | ||
| 005 | 20160203 | ||
| 007 | t | ||
| 008 | 900725s1979 |||| 00||| eng d | ||
| 020 | |a 0821822128 |9 0-8218-2212-8 | ||
| 035 | |a (OCoLC)4504535 | ||
| 035 | |a (DE-599)BVBBV003622094 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-384 |a DE-703 |a DE-739 |a DE-355 |a DE-29T |a DE-19 |a DE-12 |a DE-91G |a DE-83 |a DE-188 | ||
| 050 | 0 | |a QA3 | |
| 082 | 0 | |a 510/.8 | |
| 082 | 0 | |a 514/.7 | |
| 084 | |a SK 430 |0 (DE-625)143239: |2 rvk | ||
| 100 | 1 | |a Yamamuro, Sadayuki |d 1925- |e Verfasser |0 (DE-588)172470447 |4 aut | |
| 245 | 1 | 0 | |a A theory of differentiation in locally convex spaces |c S. Yamamuro |
| 264 | 1 | |a Providence, RI |c 1979 | |
| 300 | |a III, 82 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a American Mathematical Society: Memoirs of the American Mathematical Society |v 212 | |
| 500 | |a Volume 17, Number 212 (end of volume) | ||
| 650 | 4 | |a Calculus | |
| 650 | 4 | |a Locally convex spaces | |
| 650 | 4 | |a Manifolds (Mathematics) | |
| 650 | 0 | 7 | |a Lokalkonvexer Raum |0 (DE-588)4168126-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Differentiation |g Mathematik |0 (DE-588)4149787-9 |2 gnd |9 rswk-swf |
| 655 | 7 | |a Differentiationstheorie |2 gnd |9 rswk-swf | |
| 689 | 0 | 0 | |a Lokalkonvexer Raum |0 (DE-588)4168126-5 |D s |
| 689 | 0 | 1 | |a Differentiationstheorie |A f |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Lokalkonvexer Raum |0 (DE-588)4168126-5 |D s |
| 689 | 1 | 1 | |a Differentiation |g Mathematik |0 (DE-588)4149787-9 |D s |
| 689 | 1 | |5 DE-604 | |
| 830 | 0 | |a American Mathematical Society: Memoirs of the American Mathematical Society |v 212 |w (DE-604)BV008000141 |9 212 | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002307138&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 940 | 1 | |q TUB-www | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-002307138 | ||
| 980 | 4 | |a (DE-12)AK24500451 | |
Datensatz im Suchindex
| _version_ | 1804117972501921792 |
|---|---|
| adam_text | TABLE OF CONTENTS
Chapter I. Linear maps. 1
§1. Calibration. 3
§2. T continuous maps. 5
§3. T bounded elements. 10
§4 . T open subsets. 18
Chapter II. Differentiation. 21
§1. Definitions. 22
§2. Elementary properties. 26
§3. Chain rules. 33
Chapter III. Inverse mapping theorem. 36
§1. T balanced subsets. 36
§2. T contractions. 37
§3. Differentiability of inverse maps. 40
§4. Strict differentiability. 41
§5. Inverse mapping theorems. 44
Chapter IV. Differential equations. 47
§1. Restrictions to BpCE). 47
§2. Some spaces of continuous functions. 48
§3. Existence theorems. 52
Chapter V. Fredholm maps. 57
§1. Splitting maps. 58
§2. Critical sets. 61
§3. Fredholm maps. 62
Chapter VI. Analytic maps. 67
§1. F polynomials. 69
§2. Local F boundedness. 70
§3. F analytic maps. 71
§4. Bf analytic maps. 73
Appendix. Manifolds. ..... 76
References. 80
|
| any_adam_object | 1 |
| author | Yamamuro, Sadayuki 1925- |
| author_GND | (DE-588)172470447 |
| author_facet | Yamamuro, Sadayuki 1925- |
| author_role | aut |
| author_sort | Yamamuro, Sadayuki 1925- |
| author_variant | s y sy |
| building | Verbundindex |
| bvnumber | BV003622094 |
| callnumber-first | Q - Science |
| callnumber-label | QA3 |
| callnumber-raw | QA3 |
| callnumber-search | QA3 |
| callnumber-sort | QA 13 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 430 |
| ctrlnum | (OCoLC)4504535 (DE-599)BVBBV003622094 |
| dewey-full | 510/.8 514/.7 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics 514 - Topology |
| dewey-raw | 510/.8 514/.7 |
| dewey-search | 510/.8 514/.7 |
| dewey-sort | 3510 18 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02058nam a2200517 cb4500</leader><controlfield tag="001">BV003622094</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20160203 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">900725s1979 |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0821822128</subfield><subfield code="9">0-8218-2212-8</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)4504535</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV003622094</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</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-739</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-12</subfield><subfield code="a">DE-91G</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-188</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA3</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">510/.8</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">514/.7</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 430</subfield><subfield code="0">(DE-625)143239:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Yamamuro, Sadayuki</subfield><subfield code="d">1925-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)172470447</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">A theory of differentiation in locally convex spaces</subfield><subfield code="c">S. Yamamuro</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Providence, RI</subfield><subfield code="c">1979</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">III, 82 S.</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="490" ind1="1" ind2=" "><subfield code="a">American Mathematical Society: Memoirs of the American Mathematical Society</subfield><subfield code="v">212</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Volume 17, Number 212 (end of volume)</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Calculus</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Locally convex spaces</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Manifolds (Mathematics)</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Lokalkonvexer Raum</subfield><subfield code="0">(DE-588)4168126-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Differentiation</subfield><subfield code="g">Mathematik</subfield><subfield code="0">(DE-588)4149787-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="655" ind1=" " ind2="7"><subfield code="a">Differentiationstheorie</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Lokalkonvexer Raum</subfield><subfield code="0">(DE-588)4168126-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Differentiationstheorie</subfield><subfield code="A">f</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Lokalkonvexer Raum</subfield><subfield code="0">(DE-588)4168126-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="1"><subfield code="a">Differentiation</subfield><subfield code="g">Mathematik</subfield><subfield code="0">(DE-588)4149787-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">American Mathematical Society: Memoirs of the American Mathematical Society</subfield><subfield code="v">212</subfield><subfield code="w">(DE-604)BV008000141</subfield><subfield code="9">212</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ Datenaustausch</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=002307138&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="q">TUB-www</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-002307138</subfield></datafield><datafield tag="980" ind1="4" ind2=" "><subfield code="a">(DE-12)AK24500451</subfield></datafield></record></collection> |
| genre | Differentiationstheorie gnd |
| genre_facet | Differentiationstheorie |
| id | DE-604.BV003622094 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:02:54Z |
| institution | BVB |
| isbn | 0821822128 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002307138 |
| oclc_num | 4504535 |
| open_access_boolean | |
| owner | DE-384 DE-703 DE-739 DE-355 DE-BY-UBR DE-29T DE-19 DE-BY-UBM DE-12 DE-91G DE-BY-TUM DE-83 DE-188 |
| owner_facet | DE-384 DE-703 DE-739 DE-355 DE-BY-UBR DE-29T DE-19 DE-BY-UBM DE-12 DE-91G DE-BY-TUM DE-83 DE-188 |
| physical | III, 82 S. |
| psigel | TUB-www |
| publishDate | 1979 |
| publishDateSearch | 1979 |
| publishDateSort | 1979 |
| record_format | marc |
| series | American Mathematical Society: Memoirs of the American Mathematical Society |
| series2 | American Mathematical Society: Memoirs of the American Mathematical Society |
| spelling | Yamamuro, Sadayuki 1925- Verfasser (DE-588)172470447 aut A theory of differentiation in locally convex spaces S. Yamamuro Providence, RI 1979 III, 82 S. txt rdacontent n rdamedia nc rdacarrier American Mathematical Society: Memoirs of the American Mathematical Society 212 Volume 17, Number 212 (end of volume) Calculus Locally convex spaces Manifolds (Mathematics) Lokalkonvexer Raum (DE-588)4168126-5 gnd rswk-swf Differentiation Mathematik (DE-588)4149787-9 gnd rswk-swf Differentiationstheorie gnd rswk-swf Lokalkonvexer Raum (DE-588)4168126-5 s Differentiationstheorie f DE-604 Differentiation Mathematik (DE-588)4149787-9 s American Mathematical Society: Memoirs of the American Mathematical Society 212 (DE-604)BV008000141 212 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002307138&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Yamamuro, Sadayuki 1925- A theory of differentiation in locally convex spaces American Mathematical Society: Memoirs of the American Mathematical Society Calculus Locally convex spaces Manifolds (Mathematics) Lokalkonvexer Raum (DE-588)4168126-5 gnd Differentiation Mathematik (DE-588)4149787-9 gnd |
| subject_GND | (DE-588)4168126-5 (DE-588)4149787-9 |
| title | A theory of differentiation in locally convex spaces |
| title_auth | A theory of differentiation in locally convex spaces |
| title_exact_search | A theory of differentiation in locally convex spaces |
| title_full | A theory of differentiation in locally convex spaces S. Yamamuro |
| title_fullStr | A theory of differentiation in locally convex spaces S. Yamamuro |
| title_full_unstemmed | A theory of differentiation in locally convex spaces S. Yamamuro |
| title_short | A theory of differentiation in locally convex spaces |
| title_sort | a theory of differentiation in locally convex spaces |
| topic | Calculus Locally convex spaces Manifolds (Mathematics) Lokalkonvexer Raum (DE-588)4168126-5 gnd Differentiation Mathematik (DE-588)4149787-9 gnd |
| topic_facet | Calculus Locally convex spaces Manifolds (Mathematics) Lokalkonvexer Raum Differentiation Mathematik Differentiationstheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002307138&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
| work_keys_str_mv | AT yamamurosadayuki atheoryofdifferentiationinlocallyconvexspaces |