A primer of real functions:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Washington, DC
Math. Assoc. of America
1972
|
| Edition: | 2. ed. |
| Series: | The Carus mathematical monographs
13 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 196 S. |
| ISBN: | 0883850222 |
Staff View
MARC
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Record in the Search Index
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| adam_text | CONTENTS
chapter page
1. Sets 1
1. Sets 1
2. Sets of real numbers 4
3. Countable and uncountable sets 7
4. Metric spaces 18
5. Open and closed sets 22
6. Dense and nowhere dense sets 32
7. Compactness 38
8. Convergence and completeness 44
9. Nested sets and Baire s theorem 53
10. Some applications of Baire s theorem 57
11. Sets of measure zero 62
2. Functions 65
12. Functions 65
13. Continuous functions 70
14. Properties of continuous functions 75
15. Upper and lower limits 87
16. Sequences of functions 89
17. Uniform convergence 92
18. Pointwise limits of continuous functions 103
19. Approximations to continuous functions 106
20. Linear functions 112
21. Derivatives 117
22. Monotonic functions 132
23. Convex functions 147
24. Infinitely differentiate functions 154
Notes 162
Answers to exercises 169
Index 187
xi
|
| adam_txt |
CONTENTS
chapter page
1. Sets 1
1. Sets 1
2. Sets of real numbers 4
3. Countable and uncountable sets 7
4. Metric spaces 18
5. Open and closed sets 22
6. Dense and nowhere dense sets 32
7. Compactness 38
8. Convergence and completeness 44
9. Nested sets and Baire's theorem 53
10. Some applications of Baire's theorem 57
11. Sets of measure zero 62
2. Functions 65
12. Functions 65
13. Continuous functions 70
14. Properties of continuous functions 75
15. Upper and lower limits 87
16. Sequences of functions 89
17. Uniform convergence 92
18. Pointwise limits of continuous functions 103
19. Approximations to continuous functions 106
20. Linear functions 112
21. Derivatives 117
22. Monotonic functions 132
23. Convex functions 147
24. Infinitely differentiate functions 154
Notes 162
Answers to exercises 169
Index 187
xi |
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| ctrlnum | (OCoLC)698292 (DE-599)BVBBV022095407 |
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| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| edition | 2. ed. |
| format | Book |
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| illustrated | Not Illustrated |
| index_date | 2024-07-02T16:14:56Z |
| indexdate | 2024-07-09T20:50:33Z |
| institution | BVB |
| isbn | 0883850222 |
| language | English |
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| physical | 196 S. |
| publishDate | 1972 |
| publishDateSearch | 1972 |
| publishDateSort | 1972 |
| publisher | Math. Assoc. of America |
| record_format | marc |
| series | The Carus mathematical monographs |
| series2 | The Carus mathematical monographs |
| spelling | Boas, Ralph Philip Verfasser aut A primer of real functions by Ralph P. Boas 2. ed. Washington, DC Math. Assoc. of America 1972 196 S. txt rdacontent n rdamedia nc rdacarrier The Carus mathematical monographs 13 Functions of real variables Funktion Mathematik (DE-588)4071510-3 gnd rswk-swf Reelle Funktion (DE-588)4048918-8 gnd rswk-swf (DE-588)4151278-9 Einführung gnd-content Reelle Funktion (DE-588)4048918-8 s DE-604 Funktion Mathematik (DE-588)4071510-3 s 1\p DE-604 The Carus mathematical monographs 13 (DE-604)BV001887236 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015310259&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Boas, Ralph Philip A primer of real functions The Carus mathematical monographs Functions of real variables Funktion Mathematik (DE-588)4071510-3 gnd Reelle Funktion (DE-588)4048918-8 gnd |
| subject_GND | (DE-588)4071510-3 (DE-588)4048918-8 (DE-588)4151278-9 |
| title | A primer of real functions |
| title_auth | A primer of real functions |
| title_exact_search | A primer of real functions |
| title_exact_search_txtP | A primer of real functions |
| title_full | A primer of real functions by Ralph P. Boas |
| title_fullStr | A primer of real functions by Ralph P. Boas |
| title_full_unstemmed | A primer of real functions by Ralph P. Boas |
| title_short | A primer of real functions |
| title_sort | a primer of real functions |
| topic | Functions of real variables Funktion Mathematik (DE-588)4071510-3 gnd Reelle Funktion (DE-588)4048918-8 gnd |
| topic_facet | Functions of real variables Funktion Mathematik Reelle Funktion Einführung |
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