Verfügbarkeit: Complex analysis | Technische Universität München

Complex analysis:

Gespeichert in:

Bibliographische Detailangaben
Beteiligte Personen:	Freitag, Eberhard 1942- (VerfasserIn), Busam, Rolf (VerfasserIn)
Format:	Buch
Sprache:	Englisch Deutsch
Veröffentlicht:	Berlin [u.a.] Springer 2009
Ausgabe:	2. ed.
Schriftenreihe:	Universitext
Schlagwörter:	Funktionentheorie - Lehrbuch Functions of complex variables Functions of complex variables > Problems, exercises, etc Modulform Funktionstheorie Abelsche Funktion Riemannsche Fläche Funktionentheorie Lehrbuch
Links:	http://deposit.dnb.de/cgi-bin/dokserv?id=3253836&prov=M&dok_var=1&dok_ext=htm http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017325994&sequence=000004&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Beschreibung:	Erg. bildet: Complex Analysis 2 / Eberhard Freitag
Umfang:	X, 532 S. Ill., graph. Darst.
ISBN:	9783540939825

Internformat

MARC


LEADER	00000nam a2200000 c 4500
001	BV035405421
003	DE-604
005	20200730
007	t\|
008	090401s2009 gw ad\|\| \|\|\|\| 00\|\|\| eng d
015			\|a 09,N12,0625 \|2 dnb
016	7		\|a 992998980 \|2 DE-101
020			\|a 9783540939825 \|c PB. : EUR 48.10 (freier Pr.), sfr 75.00 (freier Pr.) \|9 978-3-540-93982-5
035			\|a (OCoLC)316434231
035			\|a (DE-599)DNB992998980
040			\|a DE-604 \|b ger \|e rakddb
041	1		\|a eng \|h ger
044			\|a gw \|c XA-DE-BE
049			\|a DE-20 \|a DE-19 \|a DE-83 \|a DE-739 \|a DE-11 \|a DE-824 \|a DE-355 \|a DE-898 \|a DE-91G \|a DE-188 \|a DE-521
050		0	\|a QA331
082	0		\|a 515.9 \|2 22
084			\|a SK 700 \|0 (DE-625)143253: \|2 rvk
084			\|a SK 750 \|0 (DE-625)143254: \|2 rvk
084			\|a 510 \|2 sdnb
084			\|a MAT 300f \|2 stub
084			\|a 30-01 \|2 msc
100	1		\|a Freitag, Eberhard \|d 1942- \|e Verfasser \|0 (DE-588)142950017 \|4 aut
240	1	0	\|a Funktionentheorie
245	1	0	\|a Complex analysis \|c Eberhard Freitag ; Rolf Busam
250			\|a 2. ed.
264		1	\|a Berlin [u.a.] \|b Springer \|c 2009
300			\|a X, 532 S. \|b Ill., graph. Darst.
336			\|b txt \|2 rdacontent
337			\|b n \|2 rdamedia
338			\|b nc \|2 rdacarrier
490	0		\|a Universitext
500			\|a Erg. bildet: Complex Analysis 2 / Eberhard Freitag
650		4	\|a Funktionentheorie - Lehrbuch
650		4	\|a Functions of complex variables
650		4	\|a Functions of complex variables \|v Problems, exercises, etc
650	0	7	\|a Modulform \|0 (DE-588)4128299-1 \|2 gnd \|9 rswk-swf
650	0	7	\|a Funktionstheorie \|0 (DE-588)4301988-2 \|2 gnd \|9 rswk-swf
650	0	7	\|a Abelsche Funktion \|0 (DE-588)4140987-5 \|2 gnd \|9 rswk-swf
650	0	7	\|a Riemannsche Fläche \|0 (DE-588)4049991-1 \|2 gnd \|9 rswk-swf
650	0	7	\|a Funktionentheorie \|0 (DE-588)4018935-1 \|2 gnd \|9 rswk-swf
655		7	\|0 (DE-588)4123623-3 \|a Lehrbuch \|2 gnd-content
689	0	0	\|a Funktionentheorie \|0 (DE-588)4018935-1 \|D s
689	0		\|5 DE-604
689	1	0	\|a Riemannsche Fläche \|0 (DE-588)4049991-1 \|D s
689	1	1	\|a Abelsche Funktion \|0 (DE-588)4140987-5 \|D s
689	1	2	\|a Modulform \|0 (DE-588)4128299-1 \|D s
689	1		\|8 1\p \|5 DE-604
689	2	0	\|a Funktionstheorie \|0 (DE-588)4301988-2 \|D s
689	2		\|8 2\p \|5 DE-604
700	1		\|a Busam, Rolf \|e Verfasser \|0 (DE-588)106822195 \|4 aut
776	0	8	\|i Erscheint auch als \|n Online-Ausgabe \|z 978-3-540-93983-2
856	4	2	\|q text/html \|u http://deposit.dnb.de/cgi-bin/dokserv?id=3253836&prov=M&dok_var=1&dok_ext=htm \|3 Inhaltstext
856	4	2	\|m HBZ Datenaustausch \|q application/pdf \|u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017325994&sequence=000004&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA \|3 Inhaltsverzeichnis
883	1		\|8 1\p \|a cgwrk \|d 20201028 \|q DE-101 \|u https://d-nb.info/provenance/plan#cgwrk
883	1		\|8 2\p \|a cgwrk \|d 20201028 \|q DE-101 \|u https://d-nb.info/provenance/plan#cgwrk
943	1		\|a oai:aleph.bib-bvb.de:BVB01-017325994

Datensatz im Suchindex

DE-BY-TUM_call_number	0102 MAT 300f 2008 A 2505(2)
DE-BY-TUM_katkey	1773214
DE-BY-TUM_location	01
DE-BY-TUM_media_number	040010210832
_version_	1821934938509803520
adam_text	Titel: Complex analysis Autor: Freitag, Eberhard Jahr: 2009 Contents I Differential Calculus in the Complex Plane C............ 9 1.1 Complex Numbers................................... 9 1.2 Convergent Sequences and Series....................... 24 1.3 Continuity.......................................... 36 1.4 Complex Derivatives ................................. 42 1.5 The Cauchy-Riemann Differential Equations........... 47 II Integral Calculus in the Complex Plane C................ 69 II. 1 Complex Line Integrals............................... 70 11.2 The Cauchy Integral Theorem........................ 77 11.3 The CAUCHY Integral Formulas........................ 92 III Sequences and Series of Analytic Functions, the Residue Theorem.................................................103 111.1 Uniform Approximation ..............................104 111.2 Power Series.........................................109 111.3 Mapping Properties of Analytic Functions...............124 111.4 Singularities of Analytic Functions.....................133 111.5 Laurent Decomposition.............................142 A Appendix to III.4 and III.5............................155 111.6 The Residue Theorem................................162 111.7 Applications of the Residue Theorem...................170 IV Construction of Analytic Functions......................191 IV.l The Gamma Function................................192 IV.2 The Weierstrass Product Formula...................210 IV.3 The Mittag-Leffler Partial Fraction Decomposition ... 218 IV.4 The Riemann Mapping Theorem......................223 A Appendix : The Homotopical Version of the Cauchy Integral Theorem....................................233 B Appendix : A Homological Version of the Cauchy Integral Theorem....................................239 X Contents C Appendix : Characterizations of Elementary Domains .... 244 V Elliptic Functions........................................251 V.I Liouville s Theorems ...............................252 A Appendix to the Definition of the Period Lattice.........259 V.2 The Weierstrass p-function.........................261 V.3 The Field of Elliptic Functions.........................267 A Appendix to Sect. V.3 : The Torus as an Algebraic Curve . 271 V.4 The Addition Theorem...............................278 V.5 Elliptic Integrals.....................................284 V.6 Abel s Theorem.....................................291 V.7 The Elliptic Modular Group...........................301 V.8 The Modular Function j..............................309 VI Elliptic Modular Forms..................................317 VI. 1 The Modular Group and Its Fundamental Region........318 VI.2 The fc/12-formula and the Injectivity of the j-function.....................................326 VI.3 The Algebra of Modular Forms........................334 VI.4 Modular Forms and Theta Series.......................338 VI.5 Modular Forms for Congruence Groups.................352 A Appendix to VI.5 : The Theta Group...................363 VI.6 A Ring of Theta Functions............................370 VII Analytic Number Theory................................381 VII.l Sums of Four and Eight Squares.......................382 VII.2 Dirichlet Series....................................399 VII.3 Dirichlet Series with Functional Equations............408 VII.4 The Riemann Ç-function and Prime Numbers...........421 VII.5 The Analytic Continuation of the ^-function.............429 VII.6 A TAUBERian Theorem...............................436 VIII Solutions to the Exercises................................449 VIII. 1 Solutions to the Exercises of Chapter 1..................449 VIII.2 Solutions to the Exercises of Chapter II.................459 VIII.3 Solutions to the Exercises of Chapter III................464 VIII.4 Solutions to the Exercises of Chapter IV................475 VIII.5 Solutions to the Exercises of Chapter V.................482 VIII.6 Solutions to the Exercises of Chapter VI................490 VIII.7 Solutions to the Exercises of Chapter VII...............498 References.....................................................^09 Symbolic Notations............................................519
any_adam_object	1
author	Freitag, Eberhard 1942- Busam, Rolf
author_GND	(DE-588)142950017 (DE-588)106822195
author_facet	Freitag, Eberhard 1942- Busam, Rolf
author_role	aut aut
author_sort	Freitag, Eberhard 1942-
author_variant	e f ef r b rb
building	Verbundindex
bvnumber	BV035405421
callnumber-first	Q - Science
callnumber-label	QA331
callnumber-raw	QA331
callnumber-search	QA331
callnumber-sort	QA 3331
callnumber-subject	QA - Mathematics
classification_rvk	SK 700 SK 750
classification_tum	MAT 300f
ctrlnum	(OCoLC)316434231 (DE-599)DNB992998980
dewey-full	515.9
dewey-hundreds	500 - Natural sciences and mathematics
dewey-ones	515 - Analysis
dewey-raw	515.9
dewey-search	515.9
dewey-sort	3515.9
dewey-tens	510 - Mathematics
discipline	Mathematik
edition	2. ed.
format	Book
fullrecord	<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02922nam a2200697 c 4500</leader><controlfield tag="001">BV035405421</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20200730 </controlfield><controlfield tag="007">t\|</controlfield><controlfield tag="008">090401s2009 gw ad\|\| \|\|\|\| 00\|\|\| eng d</controlfield><datafield tag="015" ind1=" " ind2=" "><subfield code="a">09,N12,0625</subfield><subfield code="2">dnb</subfield></datafield><datafield tag="016" ind1="7" ind2=" "><subfield code="a">992998980</subfield><subfield code="2">DE-101</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783540939825</subfield><subfield code="c">PB. : EUR 48.10 (freier Pr.), sfr 75.00 (freier Pr.)</subfield><subfield code="9">978-3-540-93982-5</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)316434231</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)DNB992998980</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="1" ind2=" "><subfield code="a">eng</subfield><subfield code="h">ger</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">gw</subfield><subfield code="c">XA-DE-BE</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-20</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-739</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-824</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-898</subfield><subfield code="a">DE-91G</subfield><subfield code="a">DE-188</subfield><subfield code="a">DE-521</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA331</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">515.9</subfield><subfield code="2">22</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 700</subfield><subfield code="0">(DE-625)143253:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 750</subfield><subfield code="0">(DE-625)143254:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">510</subfield><subfield code="2">sdnb</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 300f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">30-01</subfield><subfield code="2">msc</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Freitag, Eberhard</subfield><subfield code="d">1942-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)142950017</subfield><subfield code="4">aut</subfield></datafield><datafield tag="240" ind1="1" ind2="0"><subfield code="a">Funktionentheorie</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Complex analysis</subfield><subfield code="c">Eberhard Freitag ; Rolf Busam</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">2. ed.</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin [u.a.]</subfield><subfield code="b">Springer</subfield><subfield code="c">2009</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">X, 532 S.</subfield><subfield code="b">Ill., graph. Darst.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">Universitext</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Erg. bildet: Complex Analysis 2 / Eberhard Freitag</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Funktionentheorie - Lehrbuch</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Functions of complex variables</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Functions of complex variables</subfield><subfield code="v">Problems, exercises, etc</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Modulform</subfield><subfield code="0">(DE-588)4128299-1</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Funktionstheorie</subfield><subfield code="0">(DE-588)4301988-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Abelsche Funktion</subfield><subfield code="0">(DE-588)4140987-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Riemannsche Fläche</subfield><subfield code="0">(DE-588)4049991-1</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Funktionentheorie</subfield><subfield code="0">(DE-588)4018935-1</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="655" ind1=" " ind2="7"><subfield code="0">(DE-588)4123623-3</subfield><subfield code="a">Lehrbuch</subfield><subfield code="2">gnd-content</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Funktionentheorie</subfield><subfield code="0">(DE-588)4018935-1</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Riemannsche Fläche</subfield><subfield code="0">(DE-588)4049991-1</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="1"><subfield code="a">Abelsche Funktion</subfield><subfield code="0">(DE-588)4140987-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="2"><subfield code="a">Modulform</subfield><subfield code="0">(DE-588)4128299-1</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="2" ind2="0"><subfield code="a">Funktionstheorie</subfield><subfield code="0">(DE-588)4301988-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="2" ind2=" "><subfield code="8">2\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Busam, Rolf</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)106822195</subfield><subfield code="4">aut</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Online-Ausgabe</subfield><subfield code="z">978-3-540-93983-2</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="q">text/html</subfield><subfield code="u">http://deposit.dnb.de/cgi-bin/dokserv?id=3253836&prov=M&dok_var=1&dok_ext=htm</subfield><subfield code="3">Inhaltstext</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017325994&sequence=000004&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">2\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-017325994</subfield></datafield></record></collection>
genre	(DE-588)4123623-3 Lehrbuch gnd-content
genre_facet	Lehrbuch
id	DE-604.BV035405421
illustrated	Illustrated
indexdate	2024-12-20T13:31:45Z
institution	BVB
isbn	9783540939825
language	English German
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-017325994
oclc_num	316434231
open_access_boolean
owner	DE-20 DE-19 DE-BY-UBM DE-83 DE-739 DE-11 DE-824 DE-355 DE-BY-UBR DE-898 DE-BY-UBR DE-91G DE-BY-TUM DE-188 DE-521
owner_facet	DE-20 DE-19 DE-BY-UBM DE-83 DE-739 DE-11 DE-824 DE-355 DE-BY-UBR DE-898 DE-BY-UBR DE-91G DE-BY-TUM DE-188 DE-521
physical	X, 532 S. Ill., graph. Darst.
publishDate	2009
publishDateSearch	2009
publishDateSort	2009
publisher	Springer
record_format	marc
series2	Universitext
spellingShingle	Freitag, Eberhard 1942- Busam, Rolf Complex analysis Funktionentheorie - Lehrbuch Functions of complex variables Functions of complex variables Problems, exercises, etc Modulform (DE-588)4128299-1 gnd Funktionstheorie (DE-588)4301988-2 gnd Abelsche Funktion (DE-588)4140987-5 gnd Riemannsche Fläche (DE-588)4049991-1 gnd Funktionentheorie (DE-588)4018935-1 gnd
subject_GND	(DE-588)4128299-1 (DE-588)4301988-2 (DE-588)4140987-5 (DE-588)4049991-1 (DE-588)4018935-1 (DE-588)4123623-3
title	Complex analysis
title_alt	Funktionentheorie
title_auth	Complex analysis
title_exact_search	Complex analysis
title_full	Complex analysis Eberhard Freitag ; Rolf Busam
title_fullStr	Complex analysis Eberhard Freitag ; Rolf Busam
title_full_unstemmed	Complex analysis Eberhard Freitag ; Rolf Busam
title_short	Complex analysis
title_sort	complex analysis
topic	Funktionentheorie - Lehrbuch Functions of complex variables Functions of complex variables Problems, exercises, etc Modulform (DE-588)4128299-1 gnd Funktionstheorie (DE-588)4301988-2 gnd Abelsche Funktion (DE-588)4140987-5 gnd Riemannsche Fläche (DE-588)4049991-1 gnd Funktionentheorie (DE-588)4018935-1 gnd
topic_facet	Funktionentheorie - Lehrbuch Functions of complex variables Functions of complex variables Problems, exercises, etc Modulform Funktionstheorie Abelsche Funktion Riemannsche Fläche Funktionentheorie Lehrbuch
url	http://deposit.dnb.de/cgi-bin/dokserv?id=3253836&prov=M&dok_var=1&dok_ext=htm http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017325994&sequence=000004&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT freitageberhard funktionentheorie AT busamrolf funktionentheorie AT freitageberhard complexanalysis AT busamrolf complexanalysis

Verfügbarkeit

Bestellen (Login erforderlich)

Inhaltsverzeichnis
Paper/Kapitel scannen lassen

Teilbibliothek Mathematik & Informatik

Bestandsangaben von Teilbibliothek Mathematik & Informatik
Signatur:	0102 MAT 300f 2008 A 2505(2) Lageplan
Exemplar 1	Ausleihbar Am Standort