Selected problems in real analysis:
Gespeichert in:
| Format: | Buch |
|---|---|
| Sprache: | English Russian |
| Veröffentlicht: |
Providence, RI
American Math. Society
1992
|
| Schriftenreihe: | Translations of mathematical monographs
107 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Aus d. Russ. übers. |
| Beschreibung: | X, 370 S. graph. Darst. |
| ISBN: | 0821845594 |
Internformat
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV007193452 | ||
| 003 | DE-604 | ||
| 005 | 00000000000000.0 | ||
| 007 | t | ||
| 008 | 930504s1992 d||| |||| 00||| engod | ||
| 020 | |a 0821845594 |9 0-8218-4559-4 | ||
| 035 | |a (OCoLC)25832822 | ||
| 035 | |a (DE-599)BVBBV007193452 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 1 | |a eng |h rus | |
| 049 | |a DE-12 |a DE-355 |a DE-824 |a DE-19 |a DE-188 | ||
| 050 | 0 | |a QA331.5 | |
| 082 | 0 | |a 515/.8 |2 20 | |
| 084 | |a SK 420 |0 (DE-625)143238: |2 rvk | ||
| 130 | 0 | |a Izbrannye zadači po matematicěskomu analizu | |
| 245 | 1 | 0 | |a Selected problems in real analysis |c B. M. Makarov ... |
| 264 | 1 | |a Providence, RI |b American Math. Society |c 1992 | |
| 300 | |a X, 370 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Translations of mathematical monographs |v 107 | |
| 500 | |a Aus d. Russ. übers. | ||
| 650 | 7 | |a Analyse (wiskunde) |2 gtt | |
| 650 | 4 | |a Analyse mathématique | |
| 650 | 7 | |a Analyse mathématique |2 ram | |
| 650 | 7 | |a Fonctions d'une variable réelle |2 ram | |
| 650 | 4 | |a Fonctions de variables réelles | |
| 650 | 4 | |a Functions of real variables | |
| 650 | 4 | |a Mathematical analysis | |
| 650 | 0 | 7 | |a Reelle Funktion |0 (DE-588)4048918-8 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Analysis |0 (DE-588)4001865-9 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Analysis |0 (DE-588)4001865-9 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Reelle Funktion |0 (DE-588)4048918-8 |D s |
| 689 | 1 | |5 DE-604 | |
| 700 | 1 | |a Makarov, B. M. |e Sonstige |4 oth | |
| 830 | 0 | |a Translations of mathematical monographs |v 107 |w (DE-604)BV000002394 |9 107 | |
| 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=004601417&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 940 | 1 | |n oe | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-004601417 | ||
Datensatz im Suchindex
| _version_ | 1804121400508678144 |
|---|---|
| adam_text | Contents
Foreword vii
Notation ix
Problems Solutions
CHAPTER I. Introduction 3 143
§1. Sets 3 143
§2. Inequalities 8 147
§3. Irrationality 13 152
CHAPTER II. Sequences 17 157
§1. Computation of limits 17 157
§2. Averaging of sequences 19 162
§3. Recursive sequences 21 164
CHAPTER III. Functions 25 167
§ 1. Continuity and discontinuities of functions 25 167
§2. Semicontinuous functions 28
§3. Continuous and differentiable functions 28 171
§4. Continuous mappings 31 173
§5. Functional equations 33 175
CHAPTER IV. Series 35 179
§1. Convergence 35 179
§2. Properties of numerical series connected with
monotonicity 36 180
§3. Various assertions about series 38 185
§4. Computation of sums of series 40 190
§5. Function series 41 192
§6. Trigonometric series 43 194
CHAPTER V. Integrals 47 201
§ 1. Improper integrals of functions of a single variable 47 201
§2. Computation of multiple integrals 49 204
V
vi CONTENTS
Problems Solutions
CHAPTER VI. Asymptotics 53 213
§ 1. Asymptotics of integrals 53 213
§2. The Laplace method 55 217
§3. Asymptotics of sums 59 221
§4. Asymptotics of implicit functions and recursive
sequences 63 227
CHAPTER VII. Functions (continuation) 67 231
§1. Convexity 67 231
§2. Smooth functions 73 237
§3. Bernstein polynomials 77 244
§4. Almost periodic functions and sequences 80 253
CHAPTER VIII. Lebesgue Measure and the Lebesgue
Integral 87 263
§ 1. Lebesgue measure 87 263
§2. Measurable functions 89 267
§3. Integrable functions 91 268
§4. The Stieltjes integral 98 280
§5. The e entropy and Hausdorff measures 99 282
§6. Asymptotics of integrals of higher multiplicity 104 290
CHAPTER IX. Sequences of Measurable Functions 109 301
§1. Convergence in measure and almost everywhere 109 301
§2. Convergence in the mean. The law of large numbers 111 302
§3. The Rademacher functions. Khintchine s inequality 114 305
§4. Fourier series and the Fourier transform 120 311
CHAPTER X. Iterates of Transformations of an Interval 125 317
§ 1. Topological dynamics 125 317
§2. Transformations with an invariant measure 132 333
Answers 347
Appendix I 357
Appendix II 361
Appendix III 363
Bibliography 367
Subject Index 369
|
| any_adam_object | 1 |
| building | Verbundindex |
| bvnumber | BV007193452 |
| callnumber-first | Q - Science |
| callnumber-label | QA331 |
| callnumber-raw | QA331.5 |
| callnumber-search | QA331.5 |
| callnumber-sort | QA 3331.5 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 420 |
| ctrlnum | (OCoLC)25832822 (DE-599)BVBBV007193452 |
| 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 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>01938nam a2200517 cb4500</leader><controlfield tag="001">BV007193452</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">930504s1992 d||| |||| 00||| engod</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0821845594</subfield><subfield code="9">0-8218-4559-4</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)25832822</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV007193452</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="1" ind2=" "><subfield code="a">eng</subfield><subfield code="h">rus</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-12</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-824</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-188</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA331.5</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">515/.8</subfield><subfield code="2">20</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 420</subfield><subfield code="0">(DE-625)143238:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="130" ind1="0" ind2=" "><subfield code="a">Izbrannye zadači po matematicěskomu analizu</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Selected problems in real analysis</subfield><subfield code="c">B. M. Makarov ...</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Providence, RI</subfield><subfield code="b">American Math. Society</subfield><subfield code="c">1992</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">X, 370 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="490" ind1="1" ind2=" "><subfield code="a">Translations of mathematical monographs</subfield><subfield code="v">107</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Aus d. Russ. übers.</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Analyse (wiskunde)</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Analyse mathématique</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Analyse mathématique</subfield><subfield code="2">ram</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Fonctions d'une variable réelle</subfield><subfield code="2">ram</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Fonctions de variables réelles</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">Mathematical analysis</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Reelle Funktion</subfield><subfield code="0">(DE-588)4048918-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</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="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="689" ind1="1" ind2="0"><subfield code="a">Reelle Funktion</subfield><subfield code="0">(DE-588)4048918-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Makarov, B. M.</subfield><subfield code="e">Sonstige</subfield><subfield code="4">oth</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Translations of mathematical monographs</subfield><subfield code="v">107</subfield><subfield code="w">(DE-604)BV000002394</subfield><subfield code="9">107</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=004601417&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="n">oe</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-004601417</subfield></datafield></record></collection> |
| id | DE-604.BV007193452 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T16:57:23Z |
| institution | BVB |
| isbn | 0821845594 |
| language | English Russian |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-004601417 |
| oclc_num | 25832822 |
| open_access_boolean | |
| owner | DE-12 DE-355 DE-BY-UBR DE-824 DE-19 DE-BY-UBM DE-188 |
| owner_facet | DE-12 DE-355 DE-BY-UBR DE-824 DE-19 DE-BY-UBM DE-188 |
| physical | X, 370 S. graph. Darst. |
| publishDate | 1992 |
| publishDateSearch | 1992 |
| publishDateSort | 1992 |
| publisher | American Math. Society |
| record_format | marc |
| series | Translations of mathematical monographs |
| series2 | Translations of mathematical monographs |
| spelling | Izbrannye zadači po matematicěskomu analizu Selected problems in real analysis B. M. Makarov ... Providence, RI American Math. Society 1992 X, 370 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Translations of mathematical monographs 107 Aus d. Russ. übers. Analyse (wiskunde) gtt Analyse mathématique Analyse mathématique ram Fonctions d'une variable réelle ram Fonctions de variables réelles Functions of real variables Mathematical analysis Reelle Funktion (DE-588)4048918-8 gnd rswk-swf Analysis (DE-588)4001865-9 gnd rswk-swf Analysis (DE-588)4001865-9 s DE-604 Reelle Funktion (DE-588)4048918-8 s Makarov, B. M. Sonstige oth Translations of mathematical monographs 107 (DE-604)BV000002394 107 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=004601417&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Selected problems in real analysis Translations of mathematical monographs Analyse (wiskunde) gtt Analyse mathématique Analyse mathématique ram Fonctions d'une variable réelle ram Fonctions de variables réelles Functions of real variables Mathematical analysis Reelle Funktion (DE-588)4048918-8 gnd Analysis (DE-588)4001865-9 gnd |
| subject_GND | (DE-588)4048918-8 (DE-588)4001865-9 |
| title | Selected problems in real analysis |
| title_alt | Izbrannye zadači po matematicěskomu analizu |
| title_auth | Selected problems in real analysis |
| title_exact_search | Selected problems in real analysis |
| title_full | Selected problems in real analysis B. M. Makarov ... |
| title_fullStr | Selected problems in real analysis B. M. Makarov ... |
| title_full_unstemmed | Selected problems in real analysis B. M. Makarov ... |
| title_short | Selected problems in real analysis |
| title_sort | selected problems in real analysis |
| topic | Analyse (wiskunde) gtt Analyse mathématique Analyse mathématique ram Fonctions d'une variable réelle ram Fonctions de variables réelles Functions of real variables Mathematical analysis Reelle Funktion (DE-588)4048918-8 gnd Analysis (DE-588)4001865-9 gnd |
| topic_facet | Analyse (wiskunde) Analyse mathématique Fonctions d'une variable réelle Fonctions de variables réelles Functions of real variables Mathematical analysis Reelle Funktion Analysis |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=004601417&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000002394 |
| work_keys_str_mv | UT izbrannyezadacipomatematiceskomuanalizu AT makarovbm selectedproblemsinrealanalysis |