Verfügbarkeit: Arbeitsbuch Höhere Mathematik in Rezepten

Arbeitsbuch Höhere Mathematik in Rezepten:

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Bibliographische Detailangaben
1. Verfasser:	Karpfinger, Christian 1968- (VerfasserIn)
Format:	Buch
Sprache:	German
Veröffentlicht:	Berlin, Germany Springer Spektrum [2018]
Ausgabe:	3. Auflage
Schlagworte:	Analysis Lineare Algebra PBK Differenzialgleichungen Ingenieurmathematik Mathematik für Anwender Prüfungsvorbereitung Aufgabensammlung
Online-Zugang:	Inhaltsverzeichnis Inhaltstext Inhaltsverzeichnis
Beschreibung:	XXII, 657 Seiten Illustrationen, Diagramme
ISBN:	9783662548103 3662548100

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MARC


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245	1	0	\|a Arbeitsbuch Höhere Mathematik in Rezepten \|c Christian Karpfinger
250			\|a 3. Auflage
264		1	\|a Berlin, Germany \|b Springer Spektrum \|c [2018]
264		4	\|c © 2018
300			\|a XXII, 657 Seiten \|b Illustrationen, Diagramme
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653			\|a PBK
653			\|a Analysis
653			\|a Differenzialgleichungen
653			\|a Ingenieurmathematik
653			\|a Lineare Algebra
653			\|a Mathematik für Anwender
653			\|a Prüfungsvorbereitung
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787	0	8	\|i Ergänzung zu \|a Karpfinger, Christian \|t Höhere Mathematik in Rezepten \|b 3. Auflage \|d 2017 \|w (DE-604)BV044531851
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Datensatz im Suchindex

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adam_text	INHALTSVERZEICHNIS 1 SPRECHWEISEN, SYMBOLE UND MENGEN ............................................................. 1 1.1 A UFGABEN................................................................................................. 1 1.2 L OESUNGEN................................................................................................. 2 2 DIE NATUERLICHEN, GANZEN UND RATIONALEN ZAHLEN............................................ 7 2.1 A UFGABEN................................................................................................. 7 2.2 L OESUNGEN................................................................................................. 8 3 DIE REELLEN ZAHLEN . ............................................................................................ 13 3.1 A UFGABEN................................................................................................. 13 3.2 L OESUNGEN ........................................ 14 4 M ASCHINENZAHLEN............................................................................................ 19 4.1 A UFGABEN................................................................................................. 19 4.2 L OESUNGEN................................................................................................. 20 5 P OLYNOM E......................................................................................................... 23 5.1 A UFGABEN................................................................................................. 23 5.2 L OESUNGEN................................................................................................. 24 6 TRIGONOMETRISCHE FUNKTIONEN........................................................................ 29 6.1 A UFGABEN............................................................................................ 29 6.2 L OESUNGEN................................................................................................. 30 7 KOMPLEXE ZAHLEN - KARTESISCHE KOORDINATEN .............................................. 35 7.1 A UFGABEN................................................................................................. 35 7.2 L OESUNGEN................................................................................................. 36 8 KOMPLEXE ZAHLEN - POLARKOORDINATEN............................................ 39 8.1 A UFGABEN................................................................................................. 39 8.2 L OESUNGEN................................................................................................. 40 9 LINEARE GLEICHUNGSSYSTEME............................................................................. 45 9.1 A UFGABEN................................................................................................. 45 9.2 L OESUNGEN................................................................................................. 47 10 RECHNEN MIT M ATRIZEN..................................................................................... 53 10.1 A UFGABEN................................................................................................. 53 10.2 L OESUNGEN................................................................................................. 55 11 L/?-ZERLEGUNG EINER MATRIX .......................................................................... 61 11.1 A UFGABEN................................................................................................. 61 11.2 L OESUNGEN................................................................................................. 62 12 DIE DETERMINANTE............................................................................................ 69 12.1 A UFGABEN................................................................................................. 69 12.2 L OESUNGEN .................... 70 13 VEKTORRAEUME.................................................................................................... 75 13.1 A UFGABEN................................................................................................. 75 13.2 L OESUNGEN................................................................................................. 77 14 ERZEUGENDENSYSTEME UND LINEARE (UN-)ABHAENGIGKEIT ................................. 81 14.1 A UFGABEN................................................................................................. 81 14.2 L OESUNGEN................................................................................................. 82 15 BASEN VON VEKTORRAEUMEN ............................................................................... 87 15.1 A UFGABEN................................................... 87 15.2 L OESUNGEN................................................................................................. 89 16 ORTHOGONALITAET I ............................................................................................... 97 16.1 A UFGABEN................................................................................................. 97 16.2 L OESUNGEN................................................................................................. 98 17 ORTHOGONALITAET I I ............................................................................................... 103 17.1 A UFGABEN.................................................................................................... 103 17.2 L OESUNGEN.................................................................................................... 106 18 DAS LINEARE AUSGLEICHSPROBLEM ........................................................................ 115 18.1 A UFGABEN .......... ......................................................................................... 115 18.2 L OESUNGEN.................................................................................................... 118 19 DIE Q ^-ZERLEGUNG EINER MATRIX........................................................................127 19.1 A UFGABEN.................................................................................................... 127 19.2 L OESUNGEN.................................................................................................... 128 20 FOLGEN .................................................................................................................133 20.1 A UFGABEN.................................................................................................... 133 20.2 L OESUNGEN.................................................................................................... 133 21 BERECHNUNG VON GRENZWERTEN VON F O LG E N ....................................................... 137 21.1 A UFGABEN.................................................................................................... 137 21.2 L OESUNGEN.................................................................................................... 138 22 R E IH E N .................................................................................................................143 22.1 A UFGABEN............................................................................................ : . 143 22.2 L OESUNGEN.................................................................................................... 144 23 ABBILDUNGEN....................................................................................................... 153 23.1 A UFGABEN.................................................................................................... 153 23.2 L OESUNGEN.................................................................................................... 154 24 POTENZREIHEN........................... . ....................................................................... 157 24.1 A UFGABEN.................................................................................................... 157 24.2 L OESUNGEN.................................................................................................... 158 25 GRENZWERTE UND S TETIGK EIT ... ......................................................................... 161 25.1 A UFGABEN.................................................................................................... 161 25.2 L OESUNGEN.................................................................................................... 163 26 DIFFERENTIATION.................................................................................................... 171 26.1 A UFGABEN.................................................................................................... 171 26.2 L OESUNGEN.................................................................................................... 173 27 ANWENDUNGEN DER DIFFERENTIALRECHNUNG I ....................................................... 179 27.1 A UFGABEN.................................................................................................... 179 27.2 L OESUNGEN.................................................................................................... 180 28 ANWENDUNGEN DER DIFFERENTIALRECHNUNG I I ....................................................... 189 28.1 A UFGABEN.................................................................................................... 189 28.2 L OESUNGEN.............................................. 190 29 POLYNOM- UND SPLINEINTERPOLATION................................................................... 197 29.1 A UFGABEN.................................................................................................... 197 29.2 L OESUNGEN.................................................................................................... 198 30 INTEGRATION I .......................................................................................................203 30.1 A UFGABEN.................................................................................................... 203 30.2 L OESUNGEN.................................................................................................... 204 31 INTEGRATION I I ...................................................................................................... 215 31.1 A UFGABEN....................................................................................................215 31.2 L OESUNGEN....................................................................................................216 32 UNEIGENTLICHE IN TEGRALE.................................................................................... 227 32.1 A UFGABEN....................................................................................................227 32.2 L OESUNGEN....................................................................................................227 33 SEPARIERBARE UND LINEARE DIFFERENTIALGLEICHUNGEN 1. O RDNUNG .................... 231 33.1 A UFGABEN....................................................................................................231 33.2 L OESUNGEN....................................................................................................232 34 LINEARE DIFFERENTIALGLEICHUNGEN MIT KONSTANTEN KOEFFIZIENTEN .................... 237 34.1 A UFGABEN....................................................................................................237 34.2 L OESUNGEN....................................................................................................238 35 EINIGE BESONDERE TYPEN VON DIFFERENTIALGLEICHUNGEN....................................245 35.1 A UFGABEN....................................................................................................245 35.2 L OESUNGEN....................................................................................................246 36 NUMERIK GEWOEHNLICHER DIFFERENTIALGLEICHUNGEN 1 ........................................... 257 36.1 A UFGABEN....................................................................................................257 36.2 L OESUNGEN....................................................................................................258 37 LINEARE ABBILDUNGEN UND DARSTELLUNGSMATRIZEN ........................................... 267 37.1 A UFGABEN....................................................................................................267 37.2 L OESUNGEN....................................................................................................268 38 BASISTRANSFORMATION ......................................................................................... 275 38.1 A UFGABEN....................................................................................................275 38.2 L OESUNGEN....................................................................................................277 39 DIAGONALISIERUNG - EIGENWERTE UND EIGENVEKTOREN.......................................283 39.1 A UFGABEN................................................................................................. 283 39.2 L OESUNGEN.................................................................................................... 285 40 NUMERISCHE BERECHNUNG VON EIGENWERTEN UND EIGENVEKTOREN.....................299 40.1 A UFGABEN.................................................................................................... 299 40.2 L OESUNGEN.................................................................................................... 299 41 QUADRIKEN............................................................................................................ 303 41.1 A UFGABEN.................................................................................................... 303 41.2 L OESUNGEN.................................................................................................... 304 42 SCHURZERLEGUNG UND SINGULAERWERTZERLEGUNG ................................................... 313 42.1 A UFGABEN.................................................................................................... 313 42.2 L OESUNGEN.................................................................................................... 314 43 DIE JORDANNORMALFORM I .................................................................................. 327 43.1 A UFGABEN.................................................................................................... 327 43.2 L OESUNGEN.................................................................................................... 327 44 DIE JORDANNORMALFORM I I .................................................................................. 329 44.1 A UFGABEN.................................................................................................... 329 44.2 L OESUNGEN.................................................................................................... 330 45 DEFINITHEIT UND MATRIXNORMEN .......................................................................... 339 45.1 A UFGABEN.................................................................................................... 339 45.2 L OESUNGEN.................................................................................................... 340 46 FUNKTIONEN MEHRERER VERAENDERLICHER..............................................................345 46.1 A UFGABEN.................................................................................................... 345 46.2 L OESUNGEN.................................................................................................... 345 47 PARTIELLE DIFFERENTIATION - GRADIENT, HESSEMATRIX, JACOBIMATRIX .................. 347 47.1 A UFGABEN....................................................................................................347 47.2 L OESUNGEN....................................................................................................349 48 ANWENDUNGEN DER PARTIELLEN ABLEITUNGEN......................................................357 48.1 A UFGABEN....................................................................................................357 48.2 L OESUNGEN....................................................................................................359 49 EXTREMWERTBESTIMMUNG .................................................................................... 365 49.1 A UFGABEN....................................................................................................365 49.2 L OESUNGEN....................................................................................................366 50 EXTREMWERTBESTIMMUNG UNTER NEBENBEDINGUNGEN ...................................... 375 50.1 A UFGABEN............................................................. 375 50.2 L OESUNGEN....................................................................................................376 51 TOTALE DIFFERENTIATION, DIFFERENTIALOPERATOREN.................................................385 51.1 A UFGABEN....................................................................................................385 51.2 L OESUNGEN....................................................................................................387 52 IMPLIZITE FUNKTIONEN..........................................................................................393 52.1 A UFGABEN....................................................................................................393 52.2 L OESUNGEN....................................................................................................395 53 KOORDINATENTRANSFORMATIONEN.......................................................................... 405 53.1 A UFGABEN....................................................................................................405 53.2 L OESUNGEN....................................................................................................406 54 KURVEN I ................................... 411 54.1 A UFGABEN....................................................................................................411 54.2 L OESUNGEN....................................................................................................412 55 KURVEN I I ............................................................................................................415 55.1 A UFGABEN.................................................................................................... 415 55.2 L OESUNGEN.................................................................................................... 417 56 K URVENINTEGRALE ................................................ 423 56.1 A UFGABEN.................................................................................................... 423 56.2 L OESUNGEN.................................................................................................... 424 57 GRADIENTENFELDER ............................ 427 57.1 A UFGABEN.................................................................................................... 427 57.2 L OESUNGEN.................................................................................................... 428 58 B EREICHSINTEGRALE............................................................................................... 433 58.1 A UFGABEN.................................................................................................... 433 58.2 L OESUNGEN.................................................................................................... 434 59 DIE TRANSFORMATIONSFORMEL................................................................................439 59.1 A UFGABEN.................................................................................................... 439 59.2 L OESUNGEN.......................................................................... 441 60 FLAECHEN UND FLAECHENINTEGRALE .......................................................................... 449 60.1 A UFGABEN.................................................................................................... 449 60.2 L OESUNGEN.................................................................................................... 450 61 INTEGRALSAETZE I .................................................................................................... 455 61.1 A UFGABEN.................................................................................................... 455 61.2 L OESUNGEN.................................................................................................... 456 62 INTEGRALSAETZE I I ............................................................................................. .. . 459 62.1 A UFGABEN.................................................................................................... 459 62.2 L OESUNGEN.................................................................................................... 461 63 ALLGEMEINES ZU DIFFERENTIALGLEICHUNGEN...........................................................469 63.1 A UFGABEN....................................................................................................469 63.2 L OESUNGEN....................................................................................................470 64 DIE EXAKTE DIFFERENTIALGLEICHUNG .....................................................................475 64.1 A UFGABEN....................................................................................................475 64.2 L OESUNGEN....................................................................................................476 65 LINEARE DIFFERENTIALGLEICHUNGSSYSTEME I ........................................................ 481 65.1 A UFGABEN....................................................................................................481 65.2 L OESUNGEN....................................................................................................482 66 LINEARE DIFFERENTIALGLEICHUNGSSYSTEME I I ........................................................ 487 66.1 A UFGABEN................................................................................................... 487 66.2 L OESUNGEN....................................................................................................488 67 LINEARE DIFFERENTIALGLEICHUNGSSYSTEME I I I ..................................................... 493 67.1 A UFGABEN....................................................................................................493 67.2 L OESUNGEN....................................................................................................494 68 RANDWERTPROBLEME............................................................................................503 68.1 A UFGABEN....................................................................................................503 68.2 L OESUNGEN....................................................................................................504 69 GRUNDBEGRIFFE DER N U M ERIK.............................................................................511 69.1 A UFGABEN....................................................................................................511 69.2 L OESUNGEN....................................................................................................511 70 FIXPUNKTITERATION...............................................................................................513 70.1 A UFGABEN....................................................................................................513 70.2 L OESUNGEN....................................................................................................514 71 ITERATIVE VERFAHREN FUER LINEARE GLEICHUNGSSYSTEME ......................................... 519 71.1 A UFGABEN.................................................................................................... 519 71.2 L OESUNGEN.................................................................................................... 520 72 O PTIM IERUNG.......................................................................................................523 72.1 A UFGABEN.................................................................................................... 523 72.2 L OESUNGEN.................................................................................................... 524 73 NUMERIK GEWOEHNLICHER DIFFERENTIALGLEICHUNGEN I I ......................................... 529 73.1 A UFGABEN.................................................................................................... 529 73.2 L OESUNGEN.................................................................................................... 531 74 FOURIERREIHEN - BERECHNUNG DER FOURIERKOEFFIZIENTEN ................................. 539 74.1 A UFGABEN.................................................................................................... 539 74.2 L OESUNGEN.................................................................................................... 540 75 FOURIERREIHEN - HINTERGRUENDE, SAETZE UND ANWENDUNG ................................. 545 75.1 A UFGABEN.................................................................................................... 545 75.2 L OESUNGEN.................................................................................................... 546 76 FOURIERTRANSFORMATION I .....................................................................................553 76.1 A UFGABEN.................................................................................................... 553 76.2 L OESUNGEN.................................................................................................... 553 77 FOURIERTRANSFORMATION I I .................................................................................. 555 77.1 A UFGABEN.................................................................................................... 555 77.2 L OESUNGEN.................................................................................................... 556 78 DISKRETE FOURIERTRANSFORMATION .......... ............................................................. 563 78.1 A UFGABEN.................................................................................................... 563 78.2 L OESUNGEN.................................................................................................... 564 79 DIE LAPLACETRANSFORMATION ................................................................................ 571 79.1 A UFGABEN....................................................................................................571 79.2 L OESUNGEN....................................................................................................572 80 HOLOMORPHE FUNKTIONEN ............................................................................... 579 80.1 A UFGABEN....................................................................................................579 80.2 L OESUNGEN....................................................................................................580 81 KOMPLEXE INTEGRATION.................................................................................... 585 81.1 A UFGABEN....................................................................................................585 81.2 L OESUNGEN....................................................................................................586 82 LAURENTREIHEN....................................................................................................589 82.1 A UFGABEN............................................................................................ .. . 589 82.2 L OESUNGEN....................................................................................................589 83 DER RESIDUENKALKUEL............................................................................................595 83.1 A UFGABEN....................................................................................................595 83.2 L OESUNGEN....................................................................................................596 84 KONFORME ABBILDUNGEN.................................................................................... 601 84.1 A UFGABEN....................................................................................................601 84.2 L OESUNGEN....................................................................................................602 85 HARMONISCHE FUNKTIONEN UND DAS DIRICHLET*SCHE RANDWERTPROBLEM .... 609 85.1 A UFGABEN....................................................................................................609 85.2 L OESUNGEN....................................................................................................610 86 PARTIELLE DIFFERENTIALGLEICHUNGEN 1. O RDNUNG..................................................615 86.1 A UFGABEN....................................................................................................615 86.2 L OESUNGEN....................................................................................................616 87 PARTIELLE DIFFERENTIALGLEICHUNGEN 2. ORDNUNG - ALLGEMEINES ........................ 623 87.1 A UFGABEN....................................................................................................623 87.2 L OESUNGEN....................................................................................................624 88 DIE LAPLACE- BZW. POISSONGLEICHUNG................................................................ 631 88.1 A UFGABEN ................................... 631 88.2 L OESUNGEN.................................................................................... 632 89 DIE WAERMELEITUNGSGLEICHUNG.............................................................................639 89.1 A UFGABEN....................................................................................................639 89.2 LOESUNGEN . . .................................................................................................640 90 DIE WELLENGLEICHUNG..........................................................................................649 90.1 A UFGABEN....................................................................................................649 90.2 L OESUNGEN....................................................................................................650 91 LOESEN VON PDGLEN MIT FOURIER- UND LAPLACETRANSFORMATION .................... 653 91.1 A UFGABEN....................................................................................................653 91.2 L OESUNGEN....................................................................................................654
any_adam_object	1
author	Karpfinger, Christian 1968-
author_GND	(DE-588)124043658
author_facet	Karpfinger, Christian 1968-
author_role	aut
author_sort	Karpfinger, Christian 1968-
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building	Verbundindex
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ctrlnum	(OCoLC)1018230313 (DE-599)DNB1136580727
dewey-full	515.14076
dewey-hundreds	500 - Natural sciences and mathematics
dewey-ones	515 - Analysis
dewey-raw	515.14076
dewey-search	515.14076
dewey-sort	3515.14076
dewey-tens	510 - Mathematics
discipline	Mathematik
edition	3. Auflage
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genre	(DE-588)4143389-0 Aufgabensammlung gnd-content
genre_facet	Aufgabensammlung
id	DE-604.BV044748042
illustrated	Illustrated
indexdate	2024-07-10T08:01:07Z
institution	BVB
isbn	9783662548103 3662548100
language	German
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-030143761
oclc_num	1018230313
open_access_boolean
owner	DE-29T DE-860 DE-91G DE-BY-TUM DE-83 DE-1028 DE-11 DE-19 DE-BY-UBM DE-20 DE-739
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physical	XXII, 657 Seiten Illustrationen, Diagramme
publishDate	2018
publishDateSearch	2018
publishDateSort	2018
publisher	Springer Spektrum
record_format	marc
spelling	Karpfinger, Christian 1968- (DE-588)124043658 aut Arbeitsbuch Höhere Mathematik in Rezepten Christian Karpfinger 3. Auflage Berlin, Germany Springer Spektrum [2018] © 2018 XXII, 657 Seiten Illustrationen, Diagramme txt rdacontent n rdamedia nc rdacarrier Analysis (DE-588)4001865-9 gnd rswk-swf Lineare Algebra (DE-588)4035811-2 gnd rswk-swf PBK Analysis Differenzialgleichungen Ingenieurmathematik Lineare Algebra Mathematik für Anwender Prüfungsvorbereitung (DE-588)4143389-0 Aufgabensammlung gnd-content Analysis (DE-588)4001865-9 s Lineare Algebra (DE-588)4035811-2 s DE-604 Erscheint auch als Online-Ausgabe, PDF/ePub 978-3-662-54811-0 Vorangegangen ist 978-3-662-53509-7 2. Auflage 2017 (DE-604)BV043931283 Ergänzung zu Karpfinger, Christian Höhere Mathematik in Rezepten 3. Auflage 2017 (DE-604)BV044531851 B:DE-101 application/pdf http://d-nb.info/1136580727/04 Inhaltsverzeichnis X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=2fbbdacde66142b5ba325c2cfc4ed8f2&prov=M&dok_var=1&dok_ext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030143761&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Karpfinger, Christian 1968- Arbeitsbuch Höhere Mathematik in Rezepten Analysis (DE-588)4001865-9 gnd Lineare Algebra (DE-588)4035811-2 gnd
subject_GND	(DE-588)4001865-9 (DE-588)4035811-2 (DE-588)4143389-0
title	Arbeitsbuch Höhere Mathematik in Rezepten
title_auth	Arbeitsbuch Höhere Mathematik in Rezepten
title_exact_search	Arbeitsbuch Höhere Mathematik in Rezepten
title_full	Arbeitsbuch Höhere Mathematik in Rezepten Christian Karpfinger
title_fullStr	Arbeitsbuch Höhere Mathematik in Rezepten Christian Karpfinger
title_full_unstemmed	Arbeitsbuch Höhere Mathematik in Rezepten Christian Karpfinger
title_short	Arbeitsbuch Höhere Mathematik in Rezepten
title_sort	arbeitsbuch hohere mathematik in rezepten
topic	Analysis (DE-588)4001865-9 gnd Lineare Algebra (DE-588)4035811-2 gnd
topic_facet	Analysis Lineare Algebra Aufgabensammlung
url	http://d-nb.info/1136580727/04 http://deposit.dnb.de/cgi-bin/dokserv?id=2fbbdacde66142b5ba325c2cfc4ed8f2&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=030143761&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT karpfingerchristian arbeitsbuchhoheremathematikinrezepten

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