A Primer of Real Analytic Functions:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Boston, MA
Birkhäuser Boston
2002
|
| Ausgabe: | Second Edition |
| Schriftenreihe: | Birkhäuser Advanced Texts, Basler Lehrbücher
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | It is a pleasure and a privilege to write this new edition of A Primer of Real Analytic Functions. The theory of real analytic functions is the wellspring of mathematical analysis. It is remarkable that this is the first book on the subject, and we want to keep it up to date and as correct as possible. With these thoughts in mind, we have utilized helpful remarks and criticisms from many readers and have thereby made numerous emendations. We have also added material. There is a now a treatment of the Weierstrass preparation theorem, a new argument to establish Hensel's lemma and Puiseux's theorem, a new treatment of Faa di Bruno's formula, a thorough discussion of topologies on spaces of real analytic functions, and a second independent argument for the implicit function theorem. We trust that these new topics will make the book more complete, and hence a more useful reference. It is a pleasure to thank our editor, Ann Kostant of Birkhäuser Boston, for making the publishing process as smooth and trouble-free as possible. We are grateful for useful communications from the readers of our first edition, and we look forward to further constructive feedback |
| Beschreibung: | 1 Online-Ressource (XIII, 209 p) |
| ISBN: | 9780817681340 9781461264125 |
| DOI: | 10.1007/978-0-8176-8134-0 |
Internformat
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| 500 | |a It is a pleasure and a privilege to write this new edition of A Primer of Real Analytic Functions. The theory of real analytic functions is the wellspring of mathematical analysis. It is remarkable that this is the first book on the subject, and we want to keep it up to date and as correct as possible. With these thoughts in mind, we have utilized helpful remarks and criticisms from many readers and have thereby made numerous emendations. We have also added material. There is a now a treatment of the Weierstrass preparation theorem, a new argument to establish Hensel's lemma and Puiseux's theorem, a new treatment of Faa di Bruno's formula, a thorough discussion of topologies on spaces of real analytic functions, and a second independent argument for the implicit function theorem. We trust that these new topics will make the book more complete, and hence a more useful reference. It is a pleasure to thank our editor, Ann Kostant of Birkhäuser Boston, for making the publishing process as smooth and trouble-free as possible. We are grateful for useful communications from the readers of our first edition, and we look forward to further constructive feedback | ||
| 650 | 4 | |a Mathematics | |
| 650 | 4 | |a Geometry, algebraic | |
| 650 | 4 | |a Global analysis (Mathematics) | |
| 650 | 4 | |a Functions of complex variables | |
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| 650 | 4 | |a Analysis | |
| 650 | 4 | |a Algebraic Geometry | |
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Datensatz im Suchindex
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| author | Krantz, Steven G. 1951- |
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| author_sort | Krantz, Steven G. 1951- |
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| building | Verbundindex |
| bvnumber | BV042419178 |
| classification_tum | MAT 000 |
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| ctrlnum | (OCoLC)724720774 (DE-599)BVBBV042419178 |
| dewey-full | 515 |
| 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 | 10.1007/978-0-8176-8134-0 |
| edition | Second Edition |
| format | Electronic eBook |
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| id | DE-604.BV042419178 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:04Z |
| institution | BVB |
| isbn | 9780817681340 9781461264125 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027854595 |
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| physical | 1 Online-Ressource (XIII, 209 p) |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
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| spelling | Krantz, Steven G. 1951- Verfasser (DE-588)130535907 aut A Primer of Real Analytic Functions by Steven G. Krantz, Harold R. Parks Second Edition Boston, MA Birkhäuser Boston 2002 1 Online-Ressource (XIII, 209 p) txt rdacontent c rdamedia cr rdacarrier Birkhäuser Advanced Texts, Basler Lehrbücher It is a pleasure and a privilege to write this new edition of A Primer of Real Analytic Functions. The theory of real analytic functions is the wellspring of mathematical analysis. It is remarkable that this is the first book on the subject, and we want to keep it up to date and as correct as possible. With these thoughts in mind, we have utilized helpful remarks and criticisms from many readers and have thereby made numerous emendations. We have also added material. There is a now a treatment of the Weierstrass preparation theorem, a new argument to establish Hensel's lemma and Puiseux's theorem, a new treatment of Faa di Bruno's formula, a thorough discussion of topologies on spaces of real analytic functions, and a second independent argument for the implicit function theorem. We trust that these new topics will make the book more complete, and hence a more useful reference. It is a pleasure to thank our editor, Ann Kostant of Birkhäuser Boston, for making the publishing process as smooth and trouble-free as possible. We are grateful for useful communications from the readers of our first edition, and we look forward to further constructive feedback Mathematics Geometry, algebraic Global analysis (Mathematics) Functions of complex variables Differential equations, partial Analysis Algebraic Geometry Functions of a Complex Variable Partial Differential Equations Mathematik Reelle Funktion (DE-588)4048918-8 gnd rswk-swf Analytische Funktion (DE-588)4142348-3 gnd rswk-swf Reelle Funktion (DE-588)4048918-8 s Analytische Funktion (DE-588)4142348-3 s 1\p DE-604 Parks, Harold R. 1949- Sonstige (DE-588)138161887 oth https://doi.org/10.1007/978-0-8176-8134-0 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Krantz, Steven G. 1951- A Primer of Real Analytic Functions Mathematics Geometry, algebraic Global analysis (Mathematics) Functions of complex variables Differential equations, partial Analysis Algebraic Geometry Functions of a Complex Variable Partial Differential Equations Mathematik Reelle Funktion (DE-588)4048918-8 gnd Analytische Funktion (DE-588)4142348-3 gnd |
| subject_GND | (DE-588)4048918-8 (DE-588)4142348-3 |
| title | A Primer of Real Analytic Functions |
| title_auth | A Primer of Real Analytic Functions |
| title_exact_search | A Primer of Real Analytic Functions |
| title_full | A Primer of Real Analytic Functions by Steven G. Krantz, Harold R. Parks |
| title_fullStr | A Primer of Real Analytic Functions by Steven G. Krantz, Harold R. Parks |
| title_full_unstemmed | A Primer of Real Analytic Functions by Steven G. Krantz, Harold R. Parks |
| title_short | A Primer of Real Analytic Functions |
| title_sort | a primer of real analytic functions |
| topic | Mathematics Geometry, algebraic Global analysis (Mathematics) Functions of complex variables Differential equations, partial Analysis Algebraic Geometry Functions of a Complex Variable Partial Differential Equations Mathematik Reelle Funktion (DE-588)4048918-8 gnd Analytische Funktion (DE-588)4142348-3 gnd |
| topic_facet | Mathematics Geometry, algebraic Global analysis (Mathematics) Functions of complex variables Differential equations, partial Analysis Algebraic Geometry Functions of a Complex Variable Partial Differential Equations Mathematik Reelle Funktion Analytische Funktion |
| url | https://doi.org/10.1007/978-0-8176-8134-0 |
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