Holdings: Inside calculus :: THWS Bibkatalog

Inside calculus:

Saved in:

Bibliographic Details
Main Author:	Exner, George R. (Author)
Format:	Book
Language:	English
Published:	New York [u.a.] Springer 2000
Series:	Undergraduate texts in mathematics
Subjects:	Analysis - Reelle Funktion Calculus Infinitesimalrechnung Differentialrechnung
Online Access:	Inhaltsverzeichnis
Physical Description:	XVII, 211 S. graph. Darst.
ISBN:	0387989323

Staff View

MARC


LEADER	00000nam a22000001c 4500
001	BV013074879
003	DE-604
005	20020826
007	t\|
008	000307s2000 gw d\|\|\| \|\|\|\| 00\|\|\| eng d
016	7		\|a 958439249 \|2 DE-101
020			\|a 0387989323 \|9 0-387-98932-3
035			\|a (OCoLC)247605826
035			\|a (DE-599)BVBBV013074879
040			\|a DE-604 \|b ger \|e rakddb
041	0		\|a eng
044			\|a gw \|c DE
049			\|a DE-824 \|a DE-703 \|a DE-91G \|a DE-634 \|a DE-83 \|a DE-11
050		0	\|a QA303
082	0		\|a 515
084			\|a SK 400 \|0 (DE-625)143237: \|2 rvk
084			\|a 17,1 \|2 ssgn
084			\|a MAT 450f \|2 stub
084			\|a MAT 260f \|2 stub
084			\|a MAT 340f \|2 stub
100	1		\|a Exner, George R. \|e Verfasser \|4 aut
245	1	0	\|a Inside calculus \|c George R. Exner
264		1	\|a New York [u.a.] \|b Springer \|c 2000
300			\|a XVII, 211 S. \|b graph. Darst.
336			\|b txt \|2 rdacontent
337			\|b n \|2 rdamedia
338			\|b nc \|2 rdacarrier
490	0		\|a Undergraduate texts in mathematics
650		4	\|a Analysis - Reelle Funktion
650		4	\|a Calculus
650	0	7	\|a Infinitesimalrechnung \|0 (DE-588)4072798-1 \|2 gnd \|9 rswk-swf
650	0	7	\|a Differentialrechnung \|0 (DE-588)4012252-9 \|2 gnd \|9 rswk-swf
689	0	0	\|a Infinitesimalrechnung \|0 (DE-588)4072798-1 \|D s
689	0		\|5 DE-604
689	1	0	\|a Differentialrechnung \|0 (DE-588)4012252-9 \|D s
689	1		\|5 DE-604
856	4	2	\|m HEBIS Datenaustausch Darmstadt \|q application/pdf \|u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008908271&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA \|3 Inhaltsverzeichnis
943	1		\|a oai:aleph.bib-bvb.de:BVB01-008908271

Record in the Search Index

_version_	1818164154401292288
adam_text	GEORGE R. EXNER INSIDE CALCULUS SPRINGER CONTENTS INTRODUCTION VII ACKNOWLEDGMENTS XII 1 LIMITS 1 1.1 THE DEFINITION OF LIMIT 2 1.1.1 ABSOLUTE VALUE 2 1.1.2 EXERCISES 4 1.2 FIRST LIMIT 4 1.2.1 THE GRAPHICAL METHOD 5 1.2.2 EXERCISES 6 1.3 SECOND LIMIT 7 1.3.1 EXERCISES 9 1.4 ANXIETY, AND SOME LIMITS THAT DON'T WORK 11 1.4.1 EXERCISES 14 1.5 MORE LIMITS THAT DON'T EXIST 15 1.5.1 EXERCISES 17 2 CONTINUITY 19 2.1 CONTINUITY AT A POINT 19 2.2 NAIVE CONTINUITY VS. CONTINUITY 21 2.2.1 EXERCISES 24 2.3 CONTINUITY ON A SET 24 2.3.1 EXERCISES 25 2.3.2 CONTINUOUS FUNCTIONS 27 XVI CONTENTS 8.4 POLYNOMIAL AND RATIONAL DERIVATIVES 124 8.4.1 EXERCISES 125 8.5 DERIVATIVES OF TRIGONOMETRIC FUNCTIONS 126 8.5.1 USEFUL TRIGONOMETRIC LIMITS 126 8.5.2 EXERCISES 128 8.6 THE DERIVATIVE FUNCTION 128 8.6.1 EXERCISE 130 8.7 DERIVATIVES OF RATIONAL POWERS 130 8.7.1 EXERCISES 132 8.8 DERIVATIVES OF EXPONENTIAL AND LOGARITHMIC FUNCTIONS . . . 132 8.8.1 EXERCISES 134 9 THEOREMS ABOUT THE DERIVATIVE 135 9.1 THE DERIVATIVE AND EXTREMA . . . .' 135 9.1.1 PRELIMINARIES 135 9.1.2 THE DERIVATIVE AND LOCAL EXTREMA 137 9.1.3 EXERCISES 140 9.2 THE MEAN VALUE THEOREM 141 9.2.1 EXERCISES 142 9.2.2 ROLLE'S THEOREM 142 9.2.3 EXERCISES 143 9.2.4 THE THEOREM ITSELF . . . 144 9.2.5 EXERCISES 145 9.3 CONSEQUENCES OF THE MEAN VALUE THEOREM 146 9.3.1 EXERCISES . 148 10 OTHER LIMITS 151 10.1 LIMITS INVOLVING INFINITY 151 10.1.1 EXERCISES 152 10.2 SEQUENCES 153 10.2.1 THE DEFINITION OF SEQUENCE 153 10.2.2 SEQUENCE LIMITS 154 10.2.3 EXERCISES 156 10.3 FUNCTIONS OF SEVERAL VARIABLES 157 10.3.1 EXERCISES 159 10.3.2 LIMITS FOR FUNCTIONS FROM R TO R 2 163 10.3.3 EXERCISES 164 10.3.4 LIMITS FOR FUNCTIONS FROM R 2 TO R 165 10.3.5 EXERCISES 167 10.4 THE INTEGRAL 168 10.4.1 DIFFICULTIES WITH THE INTEGRAL DEFINITION . . . . . . . . 169 10.4.2 EXERCISES 171 10.4.3 PREPARATION: L.U.B. AND G.L.B 172 10.4.4 EXERCISES 173 10.4.5 UPPER AND LOWER SUMS 173 CONTENTS XVII 10.4.6 EXERCISES 179 A HINTS FOR SELECTED EXERCISES 181 REFERENCES 205 INDEX 207
any_adam_object	1
author	Exner, George R.
author_facet	Exner, George R.
author_role	aut
author_sort	Exner, George R.
author_variant	g r e gr gre
building	Verbundindex
bvnumber	BV013074879
callnumber-first	Q - Science
callnumber-label	QA303
callnumber-raw	QA303
callnumber-search	QA303
callnumber-sort	QA 3303
callnumber-subject	QA - Mathematics
classification_rvk	SK 400
classification_tum	MAT 450f MAT 260f MAT 340f
ctrlnum	(OCoLC)247605826 (DE-599)BVBBV013074879
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
format	Book
fullrecord	<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>00000nam a22000001c 4500</leader><controlfield tag="001">BV013074879</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20020826</controlfield><controlfield tag="007">t\|</controlfield><controlfield tag="008">000307s2000 gw d\|\|\| \|\|\|\| 00\|\|\| eng d</controlfield><datafield tag="016" ind1="7" ind2=" "><subfield code="a">958439249</subfield><subfield code="2">DE-101</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0387989323</subfield><subfield code="9">0-387-98932-3</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)247605826</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV013074879</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="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">gw</subfield><subfield code="c">DE</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-824</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-91G</subfield><subfield code="a">DE-634</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-11</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA303</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">515</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 400</subfield><subfield code="0">(DE-625)143237:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">17,1</subfield><subfield code="2">ssgn</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 450f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 260f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 340f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Exner, George R.</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Inside calculus</subfield><subfield code="c">George R. Exner</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">New York [u.a.]</subfield><subfield code="b">Springer</subfield><subfield code="c">2000</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XVII, 211 S.</subfield><subfield code="b">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">Undergraduate texts in mathematics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Analysis - Reelle Funktion</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Calculus</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Infinitesimalrechnung</subfield><subfield code="0">(DE-588)4072798-1</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Differentialrechnung</subfield><subfield code="0">(DE-588)4012252-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Infinitesimalrechnung</subfield><subfield code="0">(DE-588)4072798-1</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">Differentialrechnung</subfield><subfield code="0">(DE-588)4012252-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HEBIS Datenaustausch Darmstadt</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=008908271&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-008908271</subfield></datafield></record></collection>
id	DE-604.BV013074879
illustrated	Illustrated
indexdate	2024-12-11T17:00:56Z
institution	BVB
isbn	0387989323
language	English
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-008908271
oclc_num	247605826
open_access_boolean
owner	DE-824 DE-703 DE-91G DE-BY-TUM DE-634 DE-83 DE-11
owner_facet	DE-824 DE-703 DE-91G DE-BY-TUM DE-634 DE-83 DE-11
physical	XVII, 211 S. graph. Darst.
publishDate	2000
publishDateSearch	2000
publishDateSort	2000
publisher	Springer
record_format	marc
series2	Undergraduate texts in mathematics
spelling	Exner, George R. Verfasser aut Inside calculus George R. Exner New York [u.a.] Springer 2000 XVII, 211 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Undergraduate texts in mathematics Analysis - Reelle Funktion Calculus Infinitesimalrechnung (DE-588)4072798-1 gnd rswk-swf Differentialrechnung (DE-588)4012252-9 gnd rswk-swf Infinitesimalrechnung (DE-588)4072798-1 s DE-604 Differentialrechnung (DE-588)4012252-9 s HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008908271&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Exner, George R. Inside calculus Analysis - Reelle Funktion Calculus Infinitesimalrechnung (DE-588)4072798-1 gnd Differentialrechnung (DE-588)4012252-9 gnd
subject_GND	(DE-588)4072798-1 (DE-588)4012252-9
title	Inside calculus
title_auth	Inside calculus
title_exact_search	Inside calculus
title_full	Inside calculus George R. Exner
title_fullStr	Inside calculus George R. Exner
title_full_unstemmed	Inside calculus George R. Exner
title_short	Inside calculus
title_sort	inside calculus
topic	Analysis - Reelle Funktion Calculus Infinitesimalrechnung (DE-588)4072798-1 gnd Differentialrechnung (DE-588)4012252-9 gnd
topic_facet	Analysis - Reelle Funktion Calculus Infinitesimalrechnung Differentialrechnung
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008908271&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT exnergeorger insidecalculus

Holdings

There is no print copy available.

Interlibrary loan Place Request Caution: Not in THWS collection! Indexes

MARC

Record in the Search Index

There is no print copy available.

Similar Items