Calculus:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Singapore [u.a.]
Springer
2000
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XI, 797 S. graph. Darst. : 24 cm |
| ISBN: | 9813083018 9813083522 |
Internformat
MARC
| LEADER | 00000nam a22000001c 4500 | ||
|---|---|---|---|
| 001 | BV013118008 | ||
| 003 | DE-604 | ||
| 005 | 20030127 | ||
| 007 | t | ||
| 008 | 000411s2000 gw d||| |||| 00||| eng d | ||
| 016 | 7 | |a 958719829 |2 DE-101 | |
| 020 | |a 9813083018 |c kart. |9 981-3083-01-8 | ||
| 020 | |a 9813083522 |c Pp. : DM 98.00 |9 981-3083-52-2 | ||
| 035 | |a (OCoLC)35172572 | ||
| 035 | |a (DE-599)BVBBV013118008 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 044 | |a gw |c DE | ||
| 049 | |a DE-824 |a DE-91G |a DE-703 |a DE-521 |a DE-634 |a DE-11 |a DE-188 | ||
| 050 | 0 | |a QA303.F586 2000 | |
| 082 | 0 | |a 515 20 | |
| 082 | 0 | |a 515 |2 20 | |
| 084 | |a SK 400 |0 (DE-625)143237: |2 rvk | ||
| 084 | |a 27 |2 sdnb | ||
| 100 | 1 | |a Fong, Yuen |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Calculus |c Fong Yuen ; Wang Yuan |
| 264 | 1 | |a Singapore [u.a.] |b Springer |c 2000 | |
| 300 | |a XI, 797 S. |b graph. Darst. : 24 cm | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 4 | |a Calculus | |
| 650 | 0 | 7 | |a Infinitesimalrechnung |0 (DE-588)4072798-1 |2 gnd |9 rswk-swf |
| 655 | 7 | |0 (DE-588)4123623-3 |a Lehrbuch |2 gnd-content | |
| 689 | 0 | 0 | |a Infinitesimalrechnung |0 (DE-588)4072798-1 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Wang, Yuan |d 1930- |e Verfasser |0 (DE-588)120999072 |4 aut | |
| 856 | 4 | 2 | |m DNB Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008937235&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-008937235 | |
Datensatz im Suchindex
| _version_ | 1807772833291436032 |
|---|---|
| adam_text |
CONTENTS
PREFACE
V
ACKNOWLEGEMENTS
VII
CHAPTER
1
INTRODUCTION
1
1.1
WHAT
IS
CALCULUS?
1
1.2
SETS
AND
FUNCTIONS
5
1.3
SYSTEM
OF
NUMBERS
18
1.4
MATHEMATICAL
INDUCTION
27
1.5
ANALYTIC
PLANE
GEOMETRY
30
CHAPTER
2
LIMIT
AND
CONTINUITY
41
2.1
THE
CONCEPT
OF
LIMIT
41
2.2
SOME
LIMIT
THEOREMS
64
2.3
CONTINUITY
82
2.4
SOME
THEOREMS
ON
CONTINUOUS
FUNCTIONS
93
2.5
UNIFORM
CONTINUITY
97
CHAPTER
3
DIFFERENTIATION
99
3.1
SOME
DEFINITIONS
OF
DERIVATIVES
99
3.2
SOME
FORMULAS
OF
DERIVATIVES
111
3.3
THE
CHAIN
RULE
120
3.4
DERIVATIVES
OF
TRIGONOMETRIC
FUNCTIONS
128
3.5
IMPLICIT
DIFFERENTIATION
AND
HIGHER
DERIVATIVES
137
3.6
DIFFERENTIALS
AND
NEWTON-RAPHSON
APPROXIMATIONS
149
X
CONTENTS
CHAPTER
4
APPLICATION
OF
DERIVATIVES
159
4.1
ROLLE
'
S
THEOREM
AND
MEAN
VALUE
THEOREM
159
4.2
MONOTONIC
FUNCTIONS
166
4.3
RELATIVE
EXTREMA
OF
A
FUNCTION
168
4.4
CONVEXITY
OF
A
FUNCTION
176
4.5
SOME
GRAPH
SKETCHING
195
CHAPTER
5
INTEGRATION
203
5.1
AN
AREA
PROBLEM
203
5.2
DEFINITION
OF
DEFINITE
INTEGRAL
208
5.3
SOME
THEOREMS
ON
INTEGRAL
CALCULUS
229
5.4
FUNDAMENTAL
THEOREM
OF
CALCULUS
237
5.5
AREA
BETWEEN
GRAPHS
248
5.6
APPLICATION:
GENERALIZATIONS
OF
PYTHAGORAS
'
THEOREM
255
5.7
MORE
ON
APPLICATIONS
266
CHAPTER
6
SOME
SPECIAL
FUNCTIONS
293
6.1
INVERSE
FUNCTIONS
293
6.2
INVERSE
TRIGONOMETRIC
FUNCTIONS
300
6.3
EXPONENTIAL
AND
LOGARITHM
FUNCTIONS
315
6.4
HYPERBOLIC
AND
INVERSE
HYPERBOLIC
FUNCTIONS
335
CHAPTER
7
FORMAL
INTEGRATION
349
7.1
INDEFINITE
INTEGRALS
349
7.2
INTEGRATION
BY
PARTS
356
7.3
TRIGONOMETRIC
INTEGRALS
368
7.4
INTEGRATION
BY
TRIGONOMETRIC
SUBSTITUTION
AND
INTEGRANDS
INVOLVING
Y/X
2
-
A
2
AND
Y/A
2
+
X
2
378
7.5
PARTIAL
FRACTIONS
390
CHAPTER
8
NUMERICAL
INTEGRATION
399
8.1
TRAPEZOIDAL
RULE
399
8.2
SIMPSON
'
S
RULE
408
CHAPTER
9
MORE
ON
LIMITS
AND
IMPROPER
INTEGRALS
417
9.1
SEQUENCES
OF
REAL
NUMBERS
AND
LIMITS
OF
SEQUENCES
417
9.2
SOME
IMPORTANT
LIMITS
429
9.3
L
'
HOPITAL
'
S
RULES
FOR
INDETERMINATE
FORMS
433
9.4
IMPROPER
INTEGRALS
446
CONTENTS
XI
CHAPTER
10
INFINITE
SERIES
461
10.1
INFINITE
SERIES
461
10.2
POSITIVE-TERM
SERIES:
COMPARISON
TEST
AND
INTEGRAL
TEST
473
10.3
ALTERNATING
SERIES,
ABSOLUTE
CONVERGENCE,
AND
RATIO
AND
ROOT
TESTS
481
10.4
POWER
SERIES,
MACLAURIN
SERIES,
AND
TAYLOR
SERIES
495
CHAPTER
11
POLAR
COORDINATES
513
11.1
POLAR
COORDINATES
513
11.2
AREAS
IN
POLAR
COORDINATES
525
11.3
PARAMETRIC
PATHS
AND
LENGTHS
530
CHAPTER
12
DIFFERENTIAL
CALCULUS
FOR
FUNCTIONS
OF
SEVERAL
VARIABLES
535
12.1
FUNCTION
OF
N-VARIABLES
535
12.2
PARTIAL
DERIVATIVES
545
12.3
LIMITS
AND
CONTINUITY
557
12.4
THE
CHAIN
RULE
571
12.5
GRADIENTS
AND
DIRECTIONAL
DERIVATIVES
589
12.6
IMPLICIT
DIFFERENTIATION
614
12.7
EXTREMA
FOR
FUNCTIONS
OF
SEVERAL
VARIABLES
619
CHAPTER
13
MULTIPLE
INTEGRALS
637
13.1
DOUBLE
INTEGRALS
OVER
A
RECTANGLE
637
13.2
DOUBLE
INTEGRALS
OVER
A
REGION
653
13.3
DOUBLE
INTEGRALS
IN
POLAR
COORDINATES
669
13.4
TRIPLE
INTEGRALS
AND
THEIR
APPLICATIONS
680
TABLES
699
ANSWERS
TO
SELECTED EXERCISES
703
INDEX
793 |
| any_adam_object | 1 |
| author | Fong, Yuen Wang, Yuan 1930- |
| author_GND | (DE-588)120999072 |
| author_facet | Fong, Yuen Wang, Yuan 1930- |
| author_role | aut aut |
| author_sort | Fong, Yuen |
| author_variant | y f yf y w yw |
| building | Verbundindex |
| bvnumber | BV013118008 |
| callnumber-first | Q - Science |
| callnumber-label | QA303 |
| callnumber-raw | QA303.F586 2000 |
| callnumber-search | QA303.F586 2000 |
| callnumber-sort | QA 3303 F586 42000 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 400 |
| ctrlnum | (OCoLC)35172572 (DE-599)BVBBV013118008 |
| dewey-full | 51520 515 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515 20 515 |
| dewey-search | 515 20 515 |
| dewey-sort | 3515 220 |
| 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">BV013118008</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20030127</controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">000411s2000 gw d||| |||| 00||| eng d</controlfield><datafield tag="016" ind1="7" ind2=" "><subfield code="a">958719829</subfield><subfield code="2">DE-101</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9813083018</subfield><subfield code="c">kart.</subfield><subfield code="9">981-3083-01-8</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9813083522</subfield><subfield code="c">Pp. : DM 98.00</subfield><subfield code="9">981-3083-52-2</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)35172572</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV013118008</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-91G</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-521</subfield><subfield code="a">DE-634</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-188</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA303.F586 2000</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">515 20</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">515</subfield><subfield code="2">20</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">27</subfield><subfield code="2">sdnb</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Fong, Yuen</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Calculus</subfield><subfield code="c">Fong Yuen ; Wang Yuan</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Singapore [u.a.]</subfield><subfield code="b">Springer</subfield><subfield code="c">2000</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XI, 797 S.</subfield><subfield code="b">graph. Darst. : 24 cm</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="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="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">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="700" ind1="1" ind2=" "><subfield code="a">Wang, Yuan</subfield><subfield code="d">1930-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)120999072</subfield><subfield code="4">aut</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">DNB 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=008937235&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:BVB01-008937235</subfield></datafield></record></collection> |
| genre | (DE-588)4123623-3 Lehrbuch gnd-content |
| genre_facet | Lehrbuch |
| id | DE-604.BV013118008 |
| illustrated | Illustrated |
| indexdate | 2024-08-19T00:15:19Z |
| institution | BVB |
| isbn | 9813083018 9813083522 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008937235 |
| oclc_num | 35172572 |
| open_access_boolean | |
| owner | DE-824 DE-91G DE-BY-TUM DE-703 DE-521 DE-634 DE-11 DE-188 |
| owner_facet | DE-824 DE-91G DE-BY-TUM DE-703 DE-521 DE-634 DE-11 DE-188 |
| physical | XI, 797 S. graph. Darst. : 24 cm |
| publishDate | 2000 |
| publishDateSearch | 2000 |
| publishDateSort | 2000 |
| publisher | Springer |
| record_format | marc |
| spelling | Fong, Yuen Verfasser aut Calculus Fong Yuen ; Wang Yuan Singapore [u.a.] Springer 2000 XI, 797 S. graph. Darst. : 24 cm txt rdacontent n rdamedia nc rdacarrier Calculus Infinitesimalrechnung (DE-588)4072798-1 gnd rswk-swf (DE-588)4123623-3 Lehrbuch gnd-content Infinitesimalrechnung (DE-588)4072798-1 s DE-604 Wang, Yuan 1930- Verfasser (DE-588)120999072 aut DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008937235&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Fong, Yuen Wang, Yuan 1930- Calculus Calculus Infinitesimalrechnung (DE-588)4072798-1 gnd |
| subject_GND | (DE-588)4072798-1 (DE-588)4123623-3 |
| title | Calculus |
| title_auth | Calculus |
| title_exact_search | Calculus |
| title_full | Calculus Fong Yuen ; Wang Yuan |
| title_fullStr | Calculus Fong Yuen ; Wang Yuan |
| title_full_unstemmed | Calculus Fong Yuen ; Wang Yuan |
| title_short | Calculus |
| title_sort | calculus |
| topic | Calculus Infinitesimalrechnung (DE-588)4072798-1 gnd |
| topic_facet | Calculus Infinitesimalrechnung Lehrbuch |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008937235&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT fongyuen calculus AT wangyuan calculus |