Calculus: 2
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York, NY [u.a.]
Springer
1996
|
| Ausgabe: | 2. ed. corrected 3. printing |
| Schriftenreihe: | Undergraduate texts in mathematics
|
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XIV S., S. 338 - 644 297 graph. Darst. |
| ISBN: | 3540909753 0387909753 |
Internformat
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| 245 | 1 | 0 | |a Calculus |n 2 |c Jerrold Marsden ; Alan Weinstein |
| 250 | |a 2. ed. corrected 3. printing | ||
| 264 | 1 | |a New York, NY [u.a.] |b Springer |c 1996 | |
| 300 | |a XIV S., S. 338 - 644 |b 297 graph. Darst. | ||
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Datensatz im Suchindex
| _version_ | 1808046320608346112 |
|---|---|
| adam_text |
CONTENTS
PREFACE
VII
HOW
TO
USE
THIS
BOOK:
A
NOTE
TO
THE
STUDENT
XI
CHAPTER
7
BASIC
METHODS
OF
INTEGRATION
7.1
CALCULATING
INTEGRALS
337
7.2
INTEGRATION
BY
SUBSTITUTION
347
7.3
CHANGING
VARIABLES
IN
THE
DEFINITE
INTEGRAL
354
7.4
INTEGRATION
BY
PARTS
358
CHAPTER
8
DIFFERENTIAL
EQUATIONS
8.1
OSCILLATIONS
369
8.2
GROWTH
AND
DECAY
378
8.3
THE
HYPERBOLIC
FUNCTIONS
384
8.4
THE
INVERSE
HYPERBOLIC
FUNCTIONS
392
8.5
SEPARABLE
DIFFERENTIAL
EQUATIONS
398
8.6
LINEAR
FIRST-ORDER
EQUATIONS
408
CHAPTER
9
APPLICATIONS
OF
INTEGRATION
9.1
VOLUMES
BY
THE
SLICE
METHOD
419
9.2
VOLUMES
BY
THE
SHELL
METHOD
428
9.3
AVERAGE
VALUES
AND
THE
MEAN
VALUE
THEOREM
FOR
INTEGRALS
433
9.4
CENTER
OF
MASS
437
9.5
ENERGY,
POWER,
AND
WORK
445
XLV
CONTENTS
CHAPTER
10
FURTHER
TECHNIQUES
AND
APPLICATIONS
OF
INTEGRATION
10.1
TRIGONOMETRIC
INTEGRALS
457
10.2
PARTIAL
FRACTIONS
465
10.3
ARC
LENGTH
AND
SURFACE
AREA
477
10.4
PARAMETRIC
CURVES
489
10.5
LENGTH
AND
AREA
IN
POLAR
COORDINATES
500
CHAPTER
11
LIMITS,
L
'
HDPITAL
'
S
RULE,
AND
NUMERICAL
METHODS
11.1
LIMITS
OF
FUNCTIONS
509
11.2
L
'
HOPITAL
'
S
RULE
521
11.3
IMPROPER
INTEGRALS
528
11.4
LIMITS
OF
SEQUENCES
AND
NEWTON
'
S
METHOD
537
11.5
NUMERICAL
INTEGRATION
550
CHAPTER
12
INFINITE
SERIES
12.1
THE
SUM
OF
AN
INFINITE
SERIES
561
12.2
THE
COMPARISON
TEST
AND
ALTERNATING
SERIES
570
12.3
THE
INTEGRAL
AND
RATIO
TESTS
579
12.4
POWER
SERIES
586
12.5
TAYLOR
'
S
FORMULA
594
12.6
COMPLEX
NUMBERS
607
12.7
SECOND-ORDER
LINEAR
DIFFERENTIAL
EQUATIONS
617
12.8
SERIES
SOLUTIONS
OF
DIFFERENTIAL
EQUATIONS
632
ANSWERS
A.43
INDEX
1.1
CONTENTS
OF
VOLUME
I
INTRODUCTION
ORIENTATION
QUIZZES
CHAPTER
R
REVIEW
OF
FUNDAMENTALS
CHAPTER
1
DERIVATIVES
AND
LIMITS
CHAPTER
2
RATES
OF
CHANGE
AND
THE
CHAIN
RULE
CHAPTER
3
GRAPHING
AND
MAXIMUM-MINIMUM
PROBLEMS
CHAPTER
4
THE
INTEGRAL
CHAPTER
5
TRIGONOMETRIC
FUNCTIONS
CHAPTER
6
EXPONENTIALS
AND
LOGARITHMS
CONTENTS
OF
VOLUME
III
CHAPTER
13
VECTORS
CHAPTER
14
CURVES
AND
SURFACES
CHAPTER
15
PARTIAL
DERIVATIVES
CHAPTER
16
GRADIENTS,
MAXIMA
AND
MINIMA
CHAPTER
17
MULTIPLE
INTEGRATION
CHAPTER
18
VECTOR
ANALYSIS |
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| author | Marsden, Jerrold E. 1942-2010 Weinstein, Alan 1943- |
| author_GND | (DE-588)124171141 (DE-588)113532512 |
| author_facet | Marsden, Jerrold E. 1942-2010 Weinstein, Alan 1943- |
| author_role | aut aut |
| author_sort | Marsden, Jerrold E. 1942-2010 |
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| building | Verbundindex |
| bvnumber | BV023623402 |
| classification_rvk | SK 400 |
| ctrlnum | (OCoLC)174226899 (DE-599)BVBBV023623402 |
| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| edition | 2. ed. corrected 3. printing |
| format | Book |
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| illustrated | Illustrated |
| index_date | 2024-07-02T22:44:23Z |
| indexdate | 2024-08-22T00:42:18Z |
| institution | BVB |
| isbn | 3540909753 0387909753 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-016940611 |
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| owner | DE-521 DE-634 |
| owner_facet | DE-521 DE-634 |
| physical | XIV S., S. 338 - 644 297 graph. Darst. |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| publisher | Springer |
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| series2 | Undergraduate texts in mathematics |
| spelling | Marsden, Jerrold E. 1942-2010 Verfasser (DE-588)124171141 aut Calculus 2 Jerrold Marsden ; Alan Weinstein 2. ed. corrected 3. printing New York, NY [u.a.] Springer 1996 XIV S., S. 338 - 644 297 graph. Darst. txt rdacontent n rdamedia nc rdacarrier Undergraduate texts in mathematics Weinstein, Alan 1943- Verfasser (DE-588)113532512 aut (DE-604)BV004291934 2 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016940611&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Marsden, Jerrold E. 1942-2010 Weinstein, Alan 1943- Calculus |
| title | Calculus |
| title_auth | Calculus |
| title_exact_search | Calculus |
| title_exact_search_txtP | Calculus |
| title_full | Calculus 2 Jerrold Marsden ; Alan Weinstein |
| title_fullStr | Calculus 2 Jerrold Marsden ; Alan Weinstein |
| title_full_unstemmed | Calculus 2 Jerrold Marsden ; Alan Weinstein |
| title_short | Calculus |
| title_sort | calculus |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016940611&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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