Analysis: 2
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New Delhi
Hindustan Book Agency
2009
|
| Ausgabe: | 2. ed. |
| Schriftenreihe: | Texts and readings in mathematics
38 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XII, S. 350-566 |
| ISBN: | 9788185931951 |
Internformat
MARC
| LEADER | 00000nam a2200000 cc4500 | ||
|---|---|---|---|
| 001 | BV039735802 | ||
| 003 | DE-604 | ||
| 005 | 20130522 | ||
| 007 | t | ||
| 008 | 111201s2009 |||| 00||| eng d | ||
| 020 | |a 9788185931951 |9 978-81-85931-95-1 | ||
| 035 | |a (OCoLC)772867377 | ||
| 035 | |a (DE-599)BVBBV039735802 | ||
| 040 | |a DE-604 |b ger |e rakwb | ||
| 041 | 0 | |a eng | |
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| 100 | 1 | |a Tao, Terence |d 1975- |e Verfasser |0 (DE-588)132190370 |4 aut | |
| 245 | 1 | 0 | |a Analysis |n 2 |c Terence Tao |
| 250 | |a 2. ed. | ||
| 264 | 1 | |a New Delhi |b Hindustan Book Agency |c 2009 | |
| 300 | |a XII, S. 350-566 | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Texts and readings in mathematics |v 38 | |
| 490 | 0 | |a Texts and readings in mathematics |v ... | |
| 650 | 4 | |a Mathematical analysis | |
| 650 | 4 | |a QA 299.6-302 Analysis-general | |
| 773 | 0 | 8 | |w (DE-604)BV022931971 |g 2 |
| 830 | 0 | |a Texts and readings in mathematics |v 38 |w (DE-604)BV011380811 |9 38 | |
| 856 | 4 | 2 | |m Digitalisierung UB Regensburg |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024583590&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-024583590 | ||
Datensatz im Suchindex
| _version_ | 1804148620433293312 |
|---|---|
| adam_text | Contents
Preface
to the first edition
vii
Preface to the second edition
xiii
12
Metric spaces
349
12.1
Definitions and examples
...................349
12.2
Some point-set topology of metric spaces
..........358
12.3
Relative topology
.......................363
12.4
Cauchy sequences and complete metric spaces
.......365
12.5
Compact metric spaces
....................369
13
Continuous functions on metric spaces
376
13.1
Continuous functions
.....................376
13.2
Continuity and product spaces
...............379
13.3
Continuity and compactness
.................382
13.4
Continuity and connectedness
................384
13.5
Topologica!
spaces (Optional)
................387
14
Uniform convergence
393
14.1
Limiting values of functions
.................394
14.2
Pointwise and uniform convergence
.............396
14.3
Uniform convergence and continuity
............401
14.4
The metric of uniform convergence
.............404
14.5
Series of functions; the
Weierstrass
Ai-test.........
406
14.6
Uniform convergence and integration
............409
14.7
Uniform convergence and derivatives
............411
14.8
Uniform approximation by polynomials
..........414
15
Power series
423
15.1
Formal power series
.....................423
15.2
Real analytic functions
....................426
vi
Contents
15.3
Abel s theorem
........................431
15.4
Multiplication of power series
................435
15.5
The exponential and logarithm functions
..........438
15.6
A digression on complex numbers
..............441
15.7
Trigonometric functions
...................449
16
Fourier series
455
16.1
Periodic functions
......................456
16.2
Inner products on periodic functions
............458
16.3
Trigonometric polynomials
..................462
16.4
Periodic convolutions
.....................464
16.5
The Fourier and Plancherel theorems
............469
17
Several variable differential calculus
475
17.1
Linear transformations
....................475
17.2
Derivatives in several variable calculus
...........482
17.3
Partial and directional derivatives
..............485
17.4
The several variable calculus chain rule
...........492
17.5
Double derivatives and Clairaut s theorem
.........495
17.6
The contraction mapping theorem
.............497
17.7
The inverse function theorem in several variable
calculus
............................500
17.8
The implicit function theorem
................505
18
Lebesgue measure
510
18.1
The goal: Lebesgue measure
.................512
18.2
First attempt: Outer measure
................514
18.3
Outer measure is not additive
................522
18.4
Measurable sets
........................524
18.5
Measurable functions
.....................531
19
Lebesgue integration
535
19.1
Simple functions
.......................535
19.2
Integration of non-negative measurable functions
.....541
19.3
Integration of absolutely
integrable
functions
.......549
19.4
Comparison with the Riemann integral
...........553
19.5
Fubini s theorem
.......................555
Index 561
|
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| id | DE-604.BV039735802 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T00:10:02Z |
| institution | BVB |
| isbn | 9788185931951 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-024583590 |
| oclc_num | 772867377 |
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| owner_facet | DE-355 DE-BY-UBR DE-91G DE-BY-TUM |
| physical | XII, S. 350-566 |
| publishDate | 2009 |
| publishDateSearch | 2009 |
| publishDateSort | 2009 |
| publisher | Hindustan Book Agency |
| record_format | marc |
| series | Texts and readings in mathematics |
| series2 | Texts and readings in mathematics |
| spelling | Tao, Terence 1975- Verfasser (DE-588)132190370 aut Analysis 2 Terence Tao 2. ed. New Delhi Hindustan Book Agency 2009 XII, S. 350-566 txt rdacontent n rdamedia nc rdacarrier Texts and readings in mathematics 38 Texts and readings in mathematics ... Mathematical analysis QA 299.6-302 Analysis-general (DE-604)BV022931971 2 Texts and readings in mathematics 38 (DE-604)BV011380811 38 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024583590&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Tao, Terence 1975- Analysis Texts and readings in mathematics Mathematical analysis QA 299.6-302 Analysis-general |
| title | Analysis |
| title_auth | Analysis |
| title_exact_search | Analysis |
| title_full | Analysis 2 Terence Tao |
| title_fullStr | Analysis 2 Terence Tao |
| title_full_unstemmed | Analysis 2 Terence Tao |
| title_short | Analysis |
| title_sort | analysis |
| topic | Mathematical analysis QA 299.6-302 Analysis-general |
| topic_facet | Mathematical analysis QA 299.6-302 Analysis-general |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024583590&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV022931971 (DE-604)BV011380811 |
| work_keys_str_mv | AT taoterence analysis2 |