On functions and functional equations:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | German English |
| Published: |
Bristol u.a.
Hilger
1988
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Aus d. Tschech. übers. |
| Physical Description: | VIII, 155 S. graph. Darst. |
| ISBN: | 0852744188 |
Staff View
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV002294025 | ||
| 003 | DE-604 | ||
| 005 | 19931214 | ||
| 007 | t | ||
| 008 | 890928s1988 d||| |||| 00||| ger d | ||
| 020 | |a 0852744188 |9 0-85274-418-8 | ||
| 035 | |a (OCoLC)16405567 | ||
| 035 | |a (DE-599)BVBBV002294025 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a ger |a eng | |
| 049 | |a DE-91 |a DE-355 |a DE-384 |a DE-29T |a DE-19 |a DE-11 | ||
| 050 | 0 | |a QA431 | |
| 082 | 0 | |a 515.7 |2 19 | |
| 084 | |a SK 490 |0 (DE-625)143242: |2 rvk | ||
| 084 | |a SK 600 |0 (DE-625)143248: |2 rvk | ||
| 084 | |a MAT 390f |2 stub | ||
| 100 | 1 | |a Smítal, Jaroslav |e Verfasser |4 aut | |
| 240 | 1 | 0 | |a O funkciách a funkcionálnych rovniciach |
| 245 | 1 | 0 | |a On functions and functional equations |c Jaroslav Smital |
| 264 | 1 | |a Bristol u.a. |b Hilger |c 1988 | |
| 300 | |a VIII, 155 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Aus d. Tschech. übers. | ||
| 650 | 7 | |a Equations de fonctions |2 ram | |
| 650 | 7 | |a Fonctions de plusieurs variables réelles |2 ram | |
| 650 | 7 | |a Itération (mathématiques) |2 ram | |
| 650 | 4 | |a Functional equations | |
| 650 | 4 | |a Functions of several real variables | |
| 650 | 4 | |a Iterative methods (Mathematics) | |
| 650 | 0 | 7 | |a Funktionalgleichung |0 (DE-588)4018923-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Iteration |0 (DE-588)4123457-1 |2 gnd |9 rswk-swf |
| 655 | 7 | |a Heration |2 gnd |9 rswk-swf | |
| 689 | 0 | 0 | |a Funktionalgleichung |0 (DE-588)4018923-5 |D s |
| 689 | 0 | 1 | |a Iteration |0 (DE-588)4123457-1 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Funktionalgleichung |0 (DE-588)4018923-5 |D s |
| 689 | 1 | 1 | |a Heration |A f |
| 689 | 1 | |5 DE-604 | |
| 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=001507563&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-001507563 | ||
Record in the Search Index
| _version_ | 1804116753986355200 |
|---|---|
| adam_text | CONTENTS
PREFACE vii
1. FUNCTIONS 1
1.1 Elementary properties of functions 1
1.2 Continuous functions 7
1.3 Derivative of a function 11
2. FUNCTIONAL EQUATIONS IN SEVERAL VARIABLES 20
2.1 Introduction 20
2.2 The Cauchy functional equation and related equations 27
2.3 Other important types of equations 38
2.4 Applications of functional equations in several variables 45
2.5 Discontinuous solution of the Cauchy functional equation 50
2.6 Concluding remarks 55
3. ITERATIONS 58
3.1 Introduction 58
3.2 Fixed points 63
3.3 Cycles 72
3.4 Chaos 84
3.5 Stability 94
3.6 Concluding remarks 101
4. APPLICATIONS OF ITERATIONS 104
4.1 Introduction 104
4.2 A discrete model of population growth for a single biological
species 106
4.3 A discrete model of epidemics 114
4.4 A discrete population growth model for two species 121
V
5. FUNCTIONAL EQUATIONS IN ONE VARIABLE 124
5.1 Introduction 124
5.2 Characteristic mappings and invariants 128
5.3 Linear functional equations 134
5.4 The Abel and Schroder equations 144
5.5 Concluding remarks 148
REFERENCES 150
INDEX 154
vi
|
| any_adam_object | 1 |
| author | Smítal, Jaroslav |
| author_facet | Smítal, Jaroslav |
| author_role | aut |
| author_sort | Smítal, Jaroslav |
| author_variant | j s js |
| building | Verbundindex |
| bvnumber | BV002294025 |
| callnumber-first | Q - Science |
| callnumber-label | QA431 |
| callnumber-raw | QA431 |
| callnumber-search | QA431 |
| callnumber-sort | QA 3431 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 490 SK 600 |
| classification_tum | MAT 390f |
| ctrlnum | (OCoLC)16405567 (DE-599)BVBBV002294025 |
| dewey-full | 515.7 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.7 |
| dewey-search | 515.7 |
| dewey-sort | 3515.7 |
| 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>01964nam a2200529 c 4500</leader><controlfield tag="001">BV002294025</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">19931214 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">890928s1988 d||| |||| 00||| ger d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0852744188</subfield><subfield code="9">0-85274-418-8</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)16405567</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV002294025</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">ger</subfield><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-91</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-384</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-11</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA431</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">515.7</subfield><subfield code="2">19</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">SK 600</subfield><subfield code="0">(DE-625)143248:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 390f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Smítal, Jaroslav</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="240" ind1="1" ind2="0"><subfield code="a">O funkciách a funkcionálnych rovniciach</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">On functions and functional equations</subfield><subfield code="c">Jaroslav Smital</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Bristol u.a.</subfield><subfield code="b">Hilger</subfield><subfield code="c">1988</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">VIII, 155 S.</subfield><subfield code="b">graph. Darst.</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="500" ind1=" " ind2=" "><subfield code="a">Aus d. Tschech. übers.</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Equations de fonctions</subfield><subfield code="2">ram</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Fonctions de plusieurs variables réelles</subfield><subfield code="2">ram</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Itération (mathématiques)</subfield><subfield code="2">ram</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Functional equations</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Functions of several real variables</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Iterative methods (Mathematics)</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Funktionalgleichung</subfield><subfield code="0">(DE-588)4018923-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Iteration</subfield><subfield code="0">(DE-588)4123457-1</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="655" ind1=" " ind2="7"><subfield code="a">Heration</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Funktionalgleichung</subfield><subfield code="0">(DE-588)4018923-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Iteration</subfield><subfield code="0">(DE-588)4123457-1</subfield><subfield code="D">s</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">Funktionalgleichung</subfield><subfield code="0">(DE-588)4018923-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="1"><subfield code="a">Heration</subfield><subfield code="A">f</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="5">DE-604</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=001507563&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:BVB01-001507563</subfield></datafield></record></collection> |
| genre | Heration gnd |
| genre_facet | Heration |
| id | DE-604.BV002294025 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T15:43:32Z |
| institution | BVB |
| isbn | 0852744188 |
| language | German English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001507563 |
| oclc_num | 16405567 |
| open_access_boolean | |
| owner | DE-91 DE-BY-TUM DE-355 DE-BY-UBR DE-384 DE-29T DE-19 DE-BY-UBM DE-11 |
| owner_facet | DE-91 DE-BY-TUM DE-355 DE-BY-UBR DE-384 DE-29T DE-19 DE-BY-UBM DE-11 |
| physical | VIII, 155 S. graph. Darst. |
| publishDate | 1988 |
| publishDateSearch | 1988 |
| publishDateSort | 1988 |
| publisher | Hilger |
| record_format | marc |
| spelling | Smítal, Jaroslav Verfasser aut O funkciách a funkcionálnych rovniciach On functions and functional equations Jaroslav Smital Bristol u.a. Hilger 1988 VIII, 155 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Aus d. Tschech. übers. Equations de fonctions ram Fonctions de plusieurs variables réelles ram Itération (mathématiques) ram Functional equations Functions of several real variables Iterative methods (Mathematics) Funktionalgleichung (DE-588)4018923-5 gnd rswk-swf Iteration (DE-588)4123457-1 gnd rswk-swf Heration gnd rswk-swf Funktionalgleichung (DE-588)4018923-5 s Iteration (DE-588)4123457-1 s DE-604 Heration f HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001507563&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Smítal, Jaroslav On functions and functional equations Equations de fonctions ram Fonctions de plusieurs variables réelles ram Itération (mathématiques) ram Functional equations Functions of several real variables Iterative methods (Mathematics) Funktionalgleichung (DE-588)4018923-5 gnd Iteration (DE-588)4123457-1 gnd |
| subject_GND | (DE-588)4018923-5 (DE-588)4123457-1 |
| title | On functions and functional equations |
| title_alt | O funkciách a funkcionálnych rovniciach |
| title_auth | On functions and functional equations |
| title_exact_search | On functions and functional equations |
| title_full | On functions and functional equations Jaroslav Smital |
| title_fullStr | On functions and functional equations Jaroslav Smital |
| title_full_unstemmed | On functions and functional equations Jaroslav Smital |
| title_short | On functions and functional equations |
| title_sort | on functions and functional equations |
| topic | Equations de fonctions ram Fonctions de plusieurs variables réelles ram Itération (mathématiques) ram Functional equations Functions of several real variables Iterative methods (Mathematics) Funktionalgleichung (DE-588)4018923-5 gnd Iteration (DE-588)4123457-1 gnd |
| topic_facet | Equations de fonctions Fonctions de plusieurs variables réelles Itération (mathématiques) Functional equations Functions of several real variables Iterative methods (Mathematics) Funktionalgleichung Iteration Heration |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001507563&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT smitaljaroslav ofunkciachafunkcionalnychrovniciach AT smitaljaroslav onfunctionsandfunctionalequations |