Continuous nowhere differentiable functions: the monsters of analysis
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cham
Springer
[2015]
|
| Schriftenreihe: | Springer monographs in mathematics
|
| Schlagworte: | |
| Online-Zugang: | BTU01 FRO01 TUM01 UBM01 UBT01 UBW01 UPA01 URL des Erstveröffentlichers Inhaltsverzeichnis Abstract |
| Beschreibung: | 1 Online Ressource (XII, 299 Seiten, 15 illus. in color) |
| ISBN: | 9783319126708 |
| ISSN: | 1439-7382 |
| DOI: | 10.1007/978-3-319-12670-8 |
Internformat
MARC
| LEADER | 00000nmm a2200000zc 4500 | ||
|---|---|---|---|
| 001 | BV043309635 | ||
| 003 | DE-604 | ||
| 005 | 20200929 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 160125s2015 |||| o||u| ||||||eng d | ||
| 020 | |a 9783319126708 |c Online |9 978-3-319-12670-8 | ||
| 024 | 7 | |a 10.1007/978-3-319-12670-8 |2 doi | |
| 035 | |a (OCoLC)934215234 | ||
| 035 | |a (DE-599)BVBBV043309635 | ||
| 040 | |a DE-604 |b ger |e rda | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-91 |a DE-19 |a DE-20 |a DE-739 |a DE-634 |a DE-703 |a DE-861 |a DE-83 | ||
| 082 | 0 | |a 515.8 |2 23 | |
| 084 | |a SK 490 |0 (DE-625)143242: |2 rvk | ||
| 084 | |a MAT 000 |2 stub | ||
| 100 | 1 | |a Jarnicki, Marek |d 1952- |e Verfasser |0 (DE-588)101811095X |4 aut | |
| 245 | 1 | 0 | |a Continuous nowhere differentiable functions |b the monsters of analysis |c Marek Jarnicki, Peter Pflug |
| 264 | 1 | |a Cham |b Springer |c [2015] | |
| 264 | 4 | |c © 2015 | |
| 300 | |a 1 Online Ressource (XII, 299 Seiten, 15 illus. in color) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 490 | 0 | |a Springer monographs in mathematics |x 1439-7382 | |
| 650 | 4 | |a Mathematics | |
| 650 | 4 | |a Fourier analysis | |
| 650 | 4 | |a Functional analysis | |
| 650 | 4 | |a Functions of real variables | |
| 650 | 4 | |a Real Functions | |
| 650 | 4 | |a Fourier Analysis | |
| 650 | 4 | |a Functional Analysis | |
| 650 | 4 | |a Mathematik | |
| 700 | 1 | |a Pflug, Peter |d 1943- |e Verfasser |0 (DE-588)1018111301 |4 aut | |
| 776 | 0 | 8 | |i Erscheint auch als |n Druckausgabe |z 978-3-319-12669-2 |
| 856 | 4 | 0 | |u https://doi.org/10.1007/978-3-319-12670-8 |x Verlag |z URL des Erstveröffentlichers |3 Volltext |
| 856 | 4 | 2 | |m Springer Fremddatenuebernahme |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028730324&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 856 | 4 | 2 | |m Springer Fremddatenuebernahme |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028730324&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |3 Abstract |
| 912 | |a ZDB-2-SMA | ||
| 940 | 1 | |q UBY_PDA_SMA | |
| 940 | 1 | |q ZDB-2-SMA_2015 | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-028730324 | ||
| 966 | e | |u https://doi.org/10.1007/978-3-319-12670-8 |l BTU01 |p ZDB-2-SMA |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1007/978-3-319-12670-8 |l FRO01 |p ZDB-2-SMA |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1007/978-3-319-12670-8 |l TUM01 |p ZDB-2-SMA |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1007/978-3-319-12670-8 |l UBM01 |p ZDB-2-SMA |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1007/978-3-319-12670-8 |l UBT01 |p ZDB-2-SMA |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1007/978-3-319-12670-8 |l UBW01 |p ZDB-2-SMA |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1007/978-3-319-12670-8 |l UPA01 |p ZDB-2-SMA |x Verlag |3 Volltext | |
Datensatz im Suchindex
| _version_ | 1804175846680821760 |
|---|---|
| adam_text | CONTINUOUS NOWHERE DIFFERENTIABLE FUNCTIONS
/ JARNICKI, MAREK
: 2015
TABLE OF CONTENTS / INHALTSVERZEICHNIS
PREFACE
PRELIMINARIES
WEIERSTRASS TYPE FUNCTIONS I
TAKAGI–VAN DER WAERDEN TYPE FUNCTIONS I
BOLZANO TYPE FUNCTIONS I
OTHER EXAMPLES
BAIRE CATEGORY APPROACH
WEIERSTRASS TYPE FUNCTIONS II
TAKAGI–VAN DER WAERDEN TYPE FUNCTIONS II
BOLZANO TYPE FUNCTIONS II
BESICOVITCH–MORSE FUNCTIONS
LINEAR SPACES OF NOWHERE DIFFERENTIABLE FUNCTIONS
RIEMANNFUNCTION
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
CONTINUOUS NOWHERE DIFFERENTIABLE FUNCTIONS
/ JARNICKI, MAREK
: 2015
ABSTRACT / INHALTSTEXT
THIS BOOK COVERS THE CONSTRUCTION, ANALYSIS, AND THEORY OF CONTINUOUS
NOWHERE DIFFERENTIABLE FUNCTIONS, COMPREHENSIVELY AND ACCESSIBLY. AFTER
ILLUMINATING THE SIGNIFICANCE OF THE SUBJECT THROUGH AN OVERVIEW OF ITS
HISTORY, THE READER IS INTRODUCED TO THE SOPHISTICATED TOOLKIT OF IDEAS
AND TRICKS USED TO STUDY THE EXPLICIT CONTINUOUS NOWHERE DIFFERENTIABLE
FUNCTIONS OF WEIERSTRASS, TAKAGI–VAN DER WAERDEN, BOLZANO, AND OTHERS.
MODERN TOOLS OF FUNCTIONAL ANALYSIS, MEASURE THEORY, AND FOURIER
ANALYSIS ARE APPLIED TO EXAMINE THE GENERIC NATURE OF CONTINUOUS NOWHERE
DIFFERENTIABLE FUNCTIONS, AS WELL AS LINEAR STRUCTURES WITHIN THE
(NONLINEAR) SPACE OF CONTINUOUS NOWHERE DIFFERENTIABLE FUNCTIONS. TO
ROUND OUT THE PRESENTATION, ADVANCED TECHNIQUES FROM SEVERAL AREAS OF
MATHEMATICS ARE BROUGHT TOGETHER TO GIVE A STATE-OF-THE-ART ANALYSIS OF
RIEMANN’S CONTINUOUS, AND PURPORTEDLY NOWHERE DIFFERENTIABLE,
FUNCTION. FOR THE READER’S BENEFIT, CLAIMS REQUIRING ELABORATION, AND
OPEN PROBLEMS, ARE CLEARLY INDICATED. AN APPENDIX CONVENIENTLY PROVIDES
BACKGROUND MATERIAL FROM ANALYSIS AND NUMBER THEORY, AND COMPREHENSIVE
INDICES OF S YMBOLS, PROBLEMS, AND FIGURES ENHANCE THE BOOK’S UTILITY
AS A REFERENCE WORK. STUDENTS AND RESEARCHERS OF ANALYSIS WILL VALUE
THIS UNIQUE BOOK AS A SELF-CONTAINED GUIDE TO THE SUBJECT AND ITS
METHODS
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Jarnicki, Marek 1952- Pflug, Peter 1943- |
| author_GND | (DE-588)101811095X (DE-588)1018111301 |
| author_facet | Jarnicki, Marek 1952- Pflug, Peter 1943- |
| author_role | aut aut |
| author_sort | Jarnicki, Marek 1952- |
| author_variant | m j mj p p pp |
| building | Verbundindex |
| bvnumber | BV043309635 |
| classification_rvk | SK 490 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA |
| ctrlnum | (OCoLC)934215234 (DE-599)BVBBV043309635 |
| 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 | 10.1007/978-3-319-12670-8 |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02876nmm a2200601zc 4500</leader><controlfield tag="001">BV043309635</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20200929 </controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">160125s2015 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783319126708</subfield><subfield code="c">Online</subfield><subfield code="9">978-3-319-12670-8</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/978-3-319-12670-8</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)934215234</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV043309635</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-91</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-20</subfield><subfield code="a">DE-739</subfield><subfield code="a">DE-634</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-861</subfield><subfield code="a">DE-83</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">SK 490</subfield><subfield code="0">(DE-625)143242:</subfield><subfield code="2">rvk</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">Jarnicki, Marek</subfield><subfield code="d">1952-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)101811095X</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Continuous nowhere differentiable functions</subfield><subfield code="b">the monsters of analysis</subfield><subfield code="c">Marek Jarnicki, Peter Pflug</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Cham</subfield><subfield code="b">Springer</subfield><subfield code="c">[2015]</subfield></datafield><datafield tag="264" ind1=" " ind2="4"><subfield code="c">© 2015</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online Ressource (XII, 299 Seiten, 15 illus. in color)</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="490" ind1="0" ind2=" "><subfield code="a">Springer monographs in mathematics</subfield><subfield code="x">1439-7382</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Fourier analysis</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Functional analysis</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Functions of real variables</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Real Functions</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Fourier Analysis</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Functional Analysis</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematik</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Pflug, Peter</subfield><subfield code="d">1943-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)1018111301</subfield><subfield code="4">aut</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druckausgabe</subfield><subfield code="z">978-3-319-12669-2</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1007/978-3-319-12670-8</subfield><subfield code="x">Verlag</subfield><subfield code="z">URL des Erstveröffentlichers</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">Springer Fremddatenuebernahme</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=028730324&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">Springer Fremddatenuebernahme</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=028730324&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Abstract</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-2-SMA</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="q">UBY_PDA_SMA</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="q">ZDB-2-SMA_2015</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-028730324</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-3-319-12670-8</subfield><subfield code="l">BTU01</subfield><subfield code="p">ZDB-2-SMA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-3-319-12670-8</subfield><subfield code="l">FRO01</subfield><subfield code="p">ZDB-2-SMA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-3-319-12670-8</subfield><subfield code="l">TUM01</subfield><subfield code="p">ZDB-2-SMA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-3-319-12670-8</subfield><subfield code="l">UBM01</subfield><subfield code="p">ZDB-2-SMA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-3-319-12670-8</subfield><subfield code="l">UBT01</subfield><subfield code="p">ZDB-2-SMA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-3-319-12670-8</subfield><subfield code="l">UBW01</subfield><subfield code="p">ZDB-2-SMA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-3-319-12670-8</subfield><subfield code="l">UPA01</subfield><subfield code="p">ZDB-2-SMA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield></record></collection> |
| id | DE-604.BV043309635 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:22:47Z |
| institution | BVB |
| isbn | 9783319126708 |
| issn | 1439-7382 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028730324 |
| oclc_num | 934215234 |
| open_access_boolean | |
| owner | DE-91 DE-BY-TUM DE-19 DE-BY-UBM DE-20 DE-739 DE-634 DE-703 DE-861 DE-83 |
| owner_facet | DE-91 DE-BY-TUM DE-19 DE-BY-UBM DE-20 DE-739 DE-634 DE-703 DE-861 DE-83 |
| physical | 1 Online Ressource (XII, 299 Seiten, 15 illus. in color) |
| psigel | ZDB-2-SMA UBY_PDA_SMA ZDB-2-SMA_2015 |
| publishDate | 2015 |
| publishDateSearch | 2015 |
| publishDateSort | 2015 |
| publisher | Springer |
| record_format | marc |
| series2 | Springer monographs in mathematics |
| spelling | Jarnicki, Marek 1952- Verfasser (DE-588)101811095X aut Continuous nowhere differentiable functions the monsters of analysis Marek Jarnicki, Peter Pflug Cham Springer [2015] © 2015 1 Online Ressource (XII, 299 Seiten, 15 illus. in color) txt rdacontent c rdamedia cr rdacarrier Springer monographs in mathematics 1439-7382 Mathematics Fourier analysis Functional analysis Functions of real variables Real Functions Fourier Analysis Functional Analysis Mathematik Pflug, Peter 1943- Verfasser (DE-588)1018111301 aut Erscheint auch als Druckausgabe 978-3-319-12669-2 https://doi.org/10.1007/978-3-319-12670-8 Verlag URL des Erstveröffentlichers Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028730324&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=028730324&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract |
| spellingShingle | Jarnicki, Marek 1952- Pflug, Peter 1943- Continuous nowhere differentiable functions the monsters of analysis Mathematics Fourier analysis Functional analysis Functions of real variables Real Functions Fourier Analysis Functional Analysis Mathematik |
| title | Continuous nowhere differentiable functions the monsters of analysis |
| title_auth | Continuous nowhere differentiable functions the monsters of analysis |
| title_exact_search | Continuous nowhere differentiable functions the monsters of analysis |
| title_full | Continuous nowhere differentiable functions the monsters of analysis Marek Jarnicki, Peter Pflug |
| title_fullStr | Continuous nowhere differentiable functions the monsters of analysis Marek Jarnicki, Peter Pflug |
| title_full_unstemmed | Continuous nowhere differentiable functions the monsters of analysis Marek Jarnicki, Peter Pflug |
| title_short | Continuous nowhere differentiable functions |
| title_sort | continuous nowhere differentiable functions the monsters of analysis |
| title_sub | the monsters of analysis |
| topic | Mathematics Fourier analysis Functional analysis Functions of real variables Real Functions Fourier Analysis Functional Analysis Mathematik |
| topic_facet | Mathematics Fourier analysis Functional analysis Functions of real variables Real Functions Fourier Analysis Functional Analysis Mathematik |
| url | https://doi.org/10.1007/978-3-319-12670-8 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028730324&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=028730324&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT jarnickimarek continuousnowheredifferentiablefunctionsthemonstersofanalysis AT pflugpeter continuousnowheredifferentiablefunctionsthemonstersofanalysis |