Absolute Analysis:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1973
|
| Schriftenreihe: | Die Grundlehren der mathematischen Wissenschaften, in Einzeldarstellungen mit besonderer Berücksichtigung der Anwendungsgebiete
102 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | The first edition of this book, published in German, came into being as the result of lectures which the authors held over a period of several years since 1953 at the Universities of Helsinki and Zurich. The Introduction, which follows, provides information on what moti vated our presentation of an absolute, coordinate- and dimension-free infinitesimal calculus. Little previous knowledge is presumed of the reader. It can be recom mended to students familiar with the usual structure, based on co ordinates, of the elements of analytic geometry, differential and integral calculus and of the theory of differential equations. We are indebted to H. Keller, T. Klemola, T. Nieminen, Ph. Tondeur and K. 1. Virtanen, who read our presentation in our first manuscript, for important critical remarks. The present new English edition deviates at several points from the first edition (d. Introduction). Professor I. S. Louhivaara has from the beginning to the end taken part in the production of the new edition and has advanced our work by suggestions on both content and form. For his important support we wish to express our hearty thanks. We are indebted also to W. Greub and to H. Haahti for various valuable remarks. Our manuscript for this new edition has been translated into English by Doctor P. Emig. We express to him our gratitude for his careful interest and skillful attention during this work |
| Beschreibung: | 1 Online-Ressource (VIII, 272 p) |
| ISBN: | 9783662002490 9783662002513 |
| ISSN: | 0072-7830 |
| DOI: | 10.1007/978-3-662-00249-0 |
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Datensatz im Suchindex
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515 |
| dewey-search | 515 |
| dewey-sort | 3515 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-662-00249-0 |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:12Z |
| institution | BVB |
| isbn | 9783662002490 9783662002513 |
| issn | 0072-7830 |
| language | English |
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| series2 | Die Grundlehren der mathematischen Wissenschaften, in Einzeldarstellungen mit besonderer Berücksichtigung der Anwendungsgebiete |
| spelling | Nevanlinna, Frithiof 1894-1977 Verfasser (DE-588)172289998 aut Absolute Analysis by F. Nevanlinna, R. Nevanlinna Berlin, Heidelberg Springer Berlin Heidelberg 1973 1 Online-Ressource (VIII, 272 p) txt rdacontent c rdamedia cr rdacarrier Die Grundlehren der mathematischen Wissenschaften, in Einzeldarstellungen mit besonderer Berücksichtigung der Anwendungsgebiete 102 0072-7830 The first edition of this book, published in German, came into being as the result of lectures which the authors held over a period of several years since 1953 at the Universities of Helsinki and Zurich. The Introduction, which follows, provides information on what moti vated our presentation of an absolute, coordinate- and dimension-free infinitesimal calculus. Little previous knowledge is presumed of the reader. It can be recom mended to students familiar with the usual structure, based on co ordinates, of the elements of analytic geometry, differential and integral calculus and of the theory of differential equations. We are indebted to H. Keller, T. Klemola, T. Nieminen, Ph. Tondeur and K. 1. Virtanen, who read our presentation in our first manuscript, for important critical remarks. The present new English edition deviates at several points from the first edition (d. Introduction). Professor I. S. Louhivaara has from the beginning to the end taken part in the production of the new edition and has advanced our work by suggestions on both content and form. For his important support we wish to express our hearty thanks. We are indebted also to W. Greub and to H. Haahti for various valuable remarks. Our manuscript for this new edition has been translated into English by Doctor P. Emig. We express to him our gratitude for his careful interest and skillful attention during this work Mathematics Global analysis (Mathematics) Analysis Mathematik Analysis (DE-588)4001865-9 gnd rswk-swf Analysis (DE-588)4001865-9 s 1\p DE-604 Nevanlinna, Rolf Herman 1895-1980 Sonstige (DE-588)119315939 oth https://doi.org/10.1007/978-3-662-00249-0 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Nevanlinna, Frithiof 1894-1977 Absolute Analysis Mathematics Global analysis (Mathematics) Analysis Mathematik Analysis (DE-588)4001865-9 gnd |
| subject_GND | (DE-588)4001865-9 |
| title | Absolute Analysis |
| title_auth | Absolute Analysis |
| title_exact_search | Absolute Analysis |
| title_full | Absolute Analysis by F. Nevanlinna, R. Nevanlinna |
| title_fullStr | Absolute Analysis by F. Nevanlinna, R. Nevanlinna |
| title_full_unstemmed | Absolute Analysis by F. Nevanlinna, R. Nevanlinna |
| title_short | Absolute Analysis |
| title_sort | absolute analysis |
| topic | Mathematics Global analysis (Mathematics) Analysis Mathematik Analysis (DE-588)4001865-9 gnd |
| topic_facet | Mathematics Global analysis (Mathematics) Analysis Mathematik |
| url | https://doi.org/10.1007/978-3-662-00249-0 |
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