Functions of One Complex Variable I:
Gespeichert in:
1. Verfasser: | |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
New York, NY
Springer New York
1978
|
Ausgabe: | Second Edition |
Schriftenreihe: | Graduate Texts in Mathematics
11 |
Schlagworte: | |
Online-Zugang: | Volltext |
Beschreibung: | This book is intended as a textbook for a first course in the theory of functions of one complex variable for students who are mathematically mature enough to understand and execute E - 8 arguments. The actual prerequisites for reading this book are quite minimal; not much more than a stiff course in basic calculus and a few facts about partial derivatives. The topics from advanced calculus that are used (e.g., Leibniz's rule for differentiating under the integral sign) are proved in detail. Complex Variables is a subject which has something for all mathematicians. In addition to having applications to other parts of analysis, it can rightly claim to be an ancestor of many areas of mathematics (e.g., homotopy theory, manifolds). This view of Complex Analysis as "An Introduction to Mathematics" has influenced the writing and selection of subject matter for this book. The other guiding principle followed is that all definitions, theorems, etc |
Beschreibung: | 1 Online-Ressource (XIV, 322 p) |
ISBN: | 9781461263135 9780387942346 |
ISSN: | 0072-5285 |
DOI: | 10.1007/978-1-4612-6313-5 |
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Datensatz im Suchindex
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any_adam_object | |
author | Conway, John B. |
author_facet | Conway, John B. |
author_role | aut |
author_sort | Conway, John B. |
author_variant | j b c jb jbc |
building | Verbundindex |
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dewey-full | 515 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 515 - Analysis |
dewey-raw | 515 |
dewey-search | 515 |
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dewey-tens | 510 - Mathematics |
discipline | Mathematik |
doi_str_mv | 10.1007/978-1-4612-6313-5 |
edition | Second Edition |
format | Electronic eBook |
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id | DE-604.BV042420465 |
illustrated | Not Illustrated |
indexdate | 2024-07-10T01:21:07Z |
institution | BVB |
isbn | 9781461263135 9780387942346 |
issn | 0072-5285 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027855882 |
oclc_num | 905352974 |
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physical | 1 Online-Ressource (XIV, 322 p) |
psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
publishDate | 1978 |
publishDateSearch | 1978 |
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publisher | Springer New York |
record_format | marc |
series | Graduate Texts in Mathematics |
series2 | Graduate Texts in Mathematics |
spelling | Conway, John B. Verfasser aut Functions of One Complex Variable I by John B. Conway Second Edition New York, NY Springer New York 1978 1 Online-Ressource (XIV, 322 p) txt rdacontent c rdamedia cr rdacarrier Graduate Texts in Mathematics 11 0072-5285 This book is intended as a textbook for a first course in the theory of functions of one complex variable for students who are mathematically mature enough to understand and execute E - 8 arguments. The actual prerequisites for reading this book are quite minimal; not much more than a stiff course in basic calculus and a few facts about partial derivatives. The topics from advanced calculus that are used (e.g., Leibniz's rule for differentiating under the integral sign) are proved in detail. Complex Variables is a subject which has something for all mathematicians. In addition to having applications to other parts of analysis, it can rightly claim to be an ancestor of many areas of mathematics (e.g., homotopy theory, manifolds). This view of Complex Analysis as "An Introduction to Mathematics" has influenced the writing and selection of subject matter for this book. The other guiding principle followed is that all definitions, theorems, etc Mathematics Global analysis (Mathematics) Analysis Mathematik Funktionentheorie (DE-588)4018935-1 gnd rswk-swf Funktionentheorie (DE-588)4018935-1 s 1\p DE-604 Graduate Texts in Mathematics 11 (DE-604)BV000000067 11 https://doi.org/10.1007/978-1-4612-6313-5 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Conway, John B. Functions of One Complex Variable I Graduate Texts in Mathematics Mathematics Global analysis (Mathematics) Analysis Mathematik Funktionentheorie (DE-588)4018935-1 gnd |
subject_GND | (DE-588)4018935-1 |
title | Functions of One Complex Variable I |
title_auth | Functions of One Complex Variable I |
title_exact_search | Functions of One Complex Variable I |
title_full | Functions of One Complex Variable I by John B. Conway |
title_fullStr | Functions of One Complex Variable I by John B. Conway |
title_full_unstemmed | Functions of One Complex Variable I by John B. Conway |
title_short | Functions of One Complex Variable I |
title_sort | functions of one complex variable i |
topic | Mathematics Global analysis (Mathematics) Analysis Mathematik Funktionentheorie (DE-588)4018935-1 gnd |
topic_facet | Mathematics Global analysis (Mathematics) Analysis Mathematik Funktionentheorie |
url | https://doi.org/10.1007/978-1-4612-6313-5 |
volume_link | (DE-604)BV000000067 |
work_keys_str_mv | AT conwayjohnb functionsofonecomplexvariablei |