Complex Variables: An Introduction
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
1991
|
| Schriftenreihe: | Graduate Texts in Mathematics
125 |
| Schlagworte: | |
| Online-Zugang: | FHD01 Volltext |
| Beschreibung: | Textbooks, even excellent ones, are a reflection of their times. Form and content of books depend on what the students know already, what they are expected to learn, how the subject matter is regarded in relation to other divisions of mathematics, and even how fashionable the subject matter is. It is thus not surprising that we no longer use such masterpieces as Hurwitz and Courant's Funktionentheorie or Jordan's Cours d'Analyse in our courses. The last two decades have seen a significant change in the techniques used in the theory of functions of one complex variable. The important role played by the inhomogeneous Cauchy-Riemann equation in the current research has led to the reunification, at least in their spirit, of complex analysis in one and in several variables. We say reunification since we think that Weierstrass, Poincare, and others (in contrast to many of our students) did not consider them to be entirely separate subjects. Indeed, not only complex analysis in several variables, but also number theory, harmonic analysis, and other branches of mathematics, both pure and applied, have required a reconsideration of analytic continuation, ordinary differential equations in the complex domain, asymptotic analysis, iteration of holomorphic functions, and many other subjects from the classic theory of functions of one complex variable. This ongoing reconsideration led us to think that a textbook incorporating some of these new perspectives and techniques had to be written |
| Beschreibung: | 1 Online-Ressource (XII, 652 p) |
| ISBN: | 9781461230243 9781461277651 |
| ISSN: | 0072-5285 |
| DOI: | 10.1007/978-1-4612-3024-3 |
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Datensatz im Suchindex
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| any_adam_object | |
| author | Berenstein, Carlos A. 1944-2019 |
| author_GND | (DE-588)130607010 |
| author_facet | Berenstein, Carlos A. 1944-2019 |
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| author_sort | Berenstein, Carlos A. 1944-2019 |
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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 | 10.1007/978-1-4612-3024-3 |
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| id | DE-604.BV042420102 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:06Z |
| institution | BVB |
| isbn | 9781461230243 9781461277651 |
| issn | 0072-5285 |
| language | English |
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| publishDate | 1991 |
| publishDateSearch | 1991 |
| publishDateSort | 1991 |
| publisher | Springer New York |
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| series | Graduate Texts in Mathematics |
| series2 | Graduate Texts in Mathematics |
| spelling | Berenstein, Carlos A. 1944-2019 Verfasser (DE-588)130607010 aut Complex Variables An Introduction by Carlos A. Berenstein, Roger Gay New York, NY Springer New York 1991 1 Online-Ressource (XII, 652 p) txt rdacontent c rdamedia cr rdacarrier Graduate Texts in Mathematics 125 0072-5285 Textbooks, even excellent ones, are a reflection of their times. Form and content of books depend on what the students know already, what they are expected to learn, how the subject matter is regarded in relation to other divisions of mathematics, and even how fashionable the subject matter is. It is thus not surprising that we no longer use such masterpieces as Hurwitz and Courant's Funktionentheorie or Jordan's Cours d'Analyse in our courses. The last two decades have seen a significant change in the techniques used in the theory of functions of one complex variable. The important role played by the inhomogeneous Cauchy-Riemann equation in the current research has led to the reunification, at least in their spirit, of complex analysis in one and in several variables. We say reunification since we think that Weierstrass, Poincare, and others (in contrast to many of our students) did not consider them to be entirely separate subjects. Indeed, not only complex analysis in several variables, but also number theory, harmonic analysis, and other branches of mathematics, both pure and applied, have required a reconsideration of analytic continuation, ordinary differential equations in the complex domain, asymptotic analysis, iteration of holomorphic functions, and many other subjects from the classic theory of functions of one complex variable. This ongoing reconsideration led us to think that a textbook incorporating some of these new perspectives and techniques had to be written Mathematics Global analysis (Mathematics) Analysis Mathematik Funktionentheorie (DE-588)4018935-1 gnd rswk-swf Komplexe Variable (DE-588)4164905-9 gnd rswk-swf Komplexe Funktion (DE-588)4217733-9 gnd rswk-swf Komplexe Variable (DE-588)4164905-9 s 1\p DE-604 Funktionentheorie (DE-588)4018935-1 s 2\p DE-604 Komplexe Funktion (DE-588)4217733-9 s 3\p DE-604 Gay, Roger Sonstige oth Graduate Texts in Mathematics 125 (DE-604)BV035421258 125 https://doi.org/10.1007/978-1-4612-3024-3 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Berenstein, Carlos A. 1944-2019 Complex Variables An Introduction Graduate Texts in Mathematics Mathematics Global analysis (Mathematics) Analysis Mathematik Funktionentheorie (DE-588)4018935-1 gnd Komplexe Variable (DE-588)4164905-9 gnd Komplexe Funktion (DE-588)4217733-9 gnd |
| subject_GND | (DE-588)4018935-1 (DE-588)4164905-9 (DE-588)4217733-9 |
| title | Complex Variables An Introduction |
| title_auth | Complex Variables An Introduction |
| title_exact_search | Complex Variables An Introduction |
| title_full | Complex Variables An Introduction by Carlos A. Berenstein, Roger Gay |
| title_fullStr | Complex Variables An Introduction by Carlos A. Berenstein, Roger Gay |
| title_full_unstemmed | Complex Variables An Introduction by Carlos A. Berenstein, Roger Gay |
| title_short | Complex Variables |
| title_sort | complex variables an introduction |
| title_sub | An Introduction |
| topic | Mathematics Global analysis (Mathematics) Analysis Mathematik Funktionentheorie (DE-588)4018935-1 gnd Komplexe Variable (DE-588)4164905-9 gnd Komplexe Funktion (DE-588)4217733-9 gnd |
| topic_facet | Mathematics Global analysis (Mathematics) Analysis Mathematik Funktionentheorie Komplexe Variable Komplexe Funktion |
| url | https://doi.org/10.1007/978-1-4612-3024-3 |
| volume_link | (DE-604)BV035421258 |
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