Elementary differential equations with boundary value problems:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Englewood Cliffs
Prentice Hall
1993
|
| Edition: | 3. ed. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XV, 774 S. Ill., graph. Darst. |
Staff View
MARC
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| 100 | 1 | |a Edwards, C. Henry |d 1937- |e Verfasser |0 (DE-588)17205947X |4 aut | |
| 245 | 1 | 0 | |a Elementary differential equations with boundary value problems |c C. H. Edwards ; David E. Penney |
| 250 | |a 3. ed. | ||
| 264 | 1 | |a Englewood Cliffs |b Prentice Hall |c 1993 | |
| 300 | |a XV, 774 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 4 | |a Boundary value problems | |
| 650 | 4 | |a Differential equations | |
| 650 | 0 | 7 | |a Differentialgleichung |0 (DE-588)4012249-9 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Eigenwertproblem |0 (DE-588)4013802-1 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Gewöhnliche Differentialgleichung |0 (DE-588)4020929-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Lehrbuch |0 (DE-588)4123623-3 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Randwertproblem |0 (DE-588)4048395-2 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Gewöhnliche Differentialgleichung |0 (DE-588)4020929-5 |D s |
| 689 | 0 | 1 | |a Randwertproblem |0 (DE-588)4048395-2 |D s |
| 689 | 0 | 2 | |a Eigenwertproblem |0 (DE-588)4013802-1 |D s |
| 689 | 0 | 3 | |a Lehrbuch |0 (DE-588)4123623-3 |D s |
| 689 | 0 | |8 1\p |5 DE-604 | |
| 689 | 1 | 0 | |a Differentialgleichung |0 (DE-588)4012249-9 |D s |
| 689 | 1 | |8 2\p |5 DE-604 | |
| 700 | 1 | |a Penney, David E. |e Verfasser |4 aut | |
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| 883 | 1 | |8 2\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
Record in the Search Index
| _version_ | 1804125829110693888 |
|---|---|
| adam_text | CONTENTS
PREFACE
XI
1
FIRST
ORDER
DIFFERENTIAL
1.1
INTRODUCTION
2
EQUATIONS
1
1.2
SOLUTION
BY
DIRECT
INTEGRATION
11
1.3
EXISTENCE
AND
UNIQUENESS
OF
SOLUTIONS
19
1.4
SEPARABLE
EQUATIONS
AND
APPLICATIONS
32
1.5
LINEAR
FIRST
ORDER
EQUATIONS
46
1.6
SUBSTITUTION
METHODS
57
1.7
EXACT
EQUATIONS
AND
INTEGRATING
FACTORS
67
*1.8
POPULATION
MODELS
76
*1.9
MOTION
WITH
VARIABLE
ACCELERATION
84
SUMMARY
AND
A
LOOK
AHEAD
98
REVIEW
PROBLEMS
101
2
LINEAR
EQUATIONS
OF
2.1
INTRODUCTION
103
HIGHER
ORDER
102
2.2
GENERAL
SOLUTIONS
OF
LINEAR
EQUATIONS
115
2.3
HOMOGENEOUS
EQUATIONS
WITH
CONSTANT
COEFFICIENTS
126
2.4
MECHANICAL
VIBRATIONS
136
2.5
NONHOMOGENEOUS
EQUATIONS
AND
THE
METHOD
OF
UNDETERMINED
COEFFICIENTS
149
2.6
REDUCTION
OF
ORDER
AND
EULER-CAUCHY
EQUATIONS
159
2.7
VARIATION
OF
PARAMETERS
171
*2.8
FORCED
OSCILLATIONS
AND
RESONANCE
179
*2.9
ELECTRICAL
CIRCUITS
192
*2.10
ENDPOINT
PROBLEMS
AND
EIGENVALUES
200
VII
3
POWER
SERIES
SOLUTIONS
OF
LINEAR
EQUATIONS
215
4
THE
LAPLACE
TRANSFORM
290
5
LINEAR
SYSTEMS
OF
DIFFERENTIAL
EQUATIONS
354
6
NUMERICAL
METHODS
459
7
NONLINEAR
DIFFERENTIAL
EQUATIONS
AND
SYSTEMS
504
8
FOURIER
SERIES
AND
SEPARATION
OF
VARIABLES
582
VIII
3.1
INTRODUCTION
AND
REVIEW
OF
POWER
SERIES
3.2
SERIES
SOLUTIONS
NEAR
ORDINARY
POINTS
3.3
REGULAR
SINGULAR
POINTS
*3.4
METHOD
OF
FROBENIUS:
THE
EXCEPTIONAL
CASES
3.5
BESSEL*S
EQUATION
*3.6
APPLICATIONS
OF
BESSEL
FUNCTIONS
*3.7
APPENDIX
ON
INFINITE
SERIES
AND
THE
ATOM
4.1
LAPLACE
TRANSFORMS
AND
INVERSE
TRANSFORMS
4.2
TRANSFORMATION
OF
INITIAL
VALUE
PROBLEMS
4.3
TRANSLATION
AND
PARTIAL
FRACTIONS
4.4
DERIVATIVES,
INTEGRALS,
AND
PRODUCTS
OF
TRANSFORMS
*4.5
PERIODIC
AND
PIECEWISE
CONTINUOUS
FORCING
FUNCTIONS
*4.6
IMPULSES
AND
DELTA
FUNCTIONS
TABLE
OF
LAPLACE
TRANSFORMS
5.1
INTRODUCTION
TO
SYSTEMS
5.2
THE
METHOD
OF
ELIMINATION
5.3
LINEAR
SYSTEMS
AND
MATRICES
5.4
THE
EIGENVALUE
METHOD
FOR
HOMOGENEOUS
SYSTEMS
*5.5
SECOND
ORDER
SYSTEMS
AND
MECHANICAL
APPLICATIONS
5.6
MULTIPLE
EIGENVALUE
SOLUTIONS
5.7
NONHOMOGENEOUS
LINEAR
SYSTEMS
*5.8
MATRIX
EXPONENTIALS
AND
LINEAR
SYSTEMS
6.1
INTRODUCTION:
EULER*S
METHOD
6.2
A
CLOSER
LOOK
AT
THE
EULER
METHOD,
AND
IMPROVEMENTS
6.3
THE
RUNGE-KUTTA
METHOD
6.4
SYSTEMS
OF
DIFFERENTIAL
EQUATIONS
7.1
INTRODUCTION
TO
STABILITY
7.2
STABILITY
AND
THE
PHASE
PLANE
7.3
LINEAR
AND
ALMOST
LINEAR
SYSTEMS
7.4
ECOLOGICAL
APPLICATIONS:
PREDATORS
AND
COMPETITORS
7.5
NONLINEAR
MECHANICAL
SYSTEMS
*7.6
CHAOS
AND
BIFURCATION
8.1
PERIODIC
FUNCTIONS
AND
TRIGONOMETRIC
SERIES
8.2
GENERAL
FOURIER
SERIES
AND
CONVERGENCE
8.3
EVEN-ODD
FUNCTIONS
AND
TERMWISE
DIFFERENTIATION
*8.4
APPLICATIONS
OF
FOURIER
SERIES
8.5
HEAT
CONDUCTION
AND
SEPARATION
OF
VARIABLES
8.6
VIBRATING
STRINGS
AND
THE
ONE-DIMENSIONAL
WAVE
EQUATION
8.7
STEADY-STATE
TEMPERATURE
AND
LAPLACE*S
EQUATION
CONTENTS
216
230
240
254
267
277
284
291
302
312
320
328
341
353
355
366
375
396
410
425
441
451
460
468
479
488
505
511
522
535
550
564
583
593
601
612
619
631
644
9
EIGENVALUES
AND
BOUNDARY
VALUE
PROBLEMS
658
9.1
STURM-LIOUVILLE
PROBLEMS
AND
EIGENFUNCTION
EXPANSIONS
9.2
APPLICATIONS
OF
EIGENFUNCTION
SERIES
*9.3
STEADY
PERIODIC
SOLUTIONS
AND
NATURAL
FREQUENCIES
9.4
APPLICATIONS
OF
BESSEL
FUNCTIONS
9.5
NUCLEAR
REACTORS
AND
OTHER
APPLICATIONS
659
670
681
689
704
REFERENCES
FOR
FURTHER
STUDY
719
APPENDIX
722
ANSWERS
738
INDEX
765
CONTENTS
IX
|
| any_adam_object | 1 |
| author | Edwards, C. Henry 1937- Penney, David E. |
| author_GND | (DE-588)17205947X |
| author_facet | Edwards, C. Henry 1937- Penney, David E. |
| author_role | aut aut |
| author_sort | Edwards, C. Henry 1937- |
| author_variant | c h e ch che d e p de dep |
| building | Verbundindex |
| bvnumber | BV011321303 |
| callnumber-first | Q - Science |
| callnumber-label | QA371 |
| callnumber-raw | QA371 |
| callnumber-search | QA371 |
| callnumber-sort | QA 3371 |
| callnumber-subject | QA - Mathematics |
| ctrlnum | (OCoLC)25833668 (DE-599)BVBBV011321303 |
| dewey-full | 515/.35 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.35 |
| dewey-search | 515/.35 |
| dewey-sort | 3515 235 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 3. ed. |
| format | Book |
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| id | DE-604.BV011321303 |
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| indexdate | 2024-07-09T18:07:46Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007606387 |
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| physical | XV, 774 S. Ill., graph. Darst. |
| publishDate | 1993 |
| publishDateSearch | 1993 |
| publishDateSort | 1993 |
| publisher | Prentice Hall |
| record_format | marc |
| spelling | Edwards, C. Henry 1937- Verfasser (DE-588)17205947X aut Elementary differential equations with boundary value problems C. H. Edwards ; David E. Penney 3. ed. Englewood Cliffs Prentice Hall 1993 XV, 774 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Boundary value problems Differential equations Differentialgleichung (DE-588)4012249-9 gnd rswk-swf Eigenwertproblem (DE-588)4013802-1 gnd rswk-swf Gewöhnliche Differentialgleichung (DE-588)4020929-5 gnd rswk-swf Lehrbuch (DE-588)4123623-3 gnd rswk-swf Randwertproblem (DE-588)4048395-2 gnd rswk-swf Gewöhnliche Differentialgleichung (DE-588)4020929-5 s Randwertproblem (DE-588)4048395-2 s Eigenwertproblem (DE-588)4013802-1 s Lehrbuch (DE-588)4123623-3 s 1\p DE-604 Differentialgleichung (DE-588)4012249-9 s 2\p DE-604 Penney, David E. Verfasser aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007606387&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Edwards, C. Henry 1937- Penney, David E. Elementary differential equations with boundary value problems Boundary value problems Differential equations Differentialgleichung (DE-588)4012249-9 gnd Eigenwertproblem (DE-588)4013802-1 gnd Gewöhnliche Differentialgleichung (DE-588)4020929-5 gnd Lehrbuch (DE-588)4123623-3 gnd Randwertproblem (DE-588)4048395-2 gnd |
| subject_GND | (DE-588)4012249-9 (DE-588)4013802-1 (DE-588)4020929-5 (DE-588)4123623-3 (DE-588)4048395-2 |
| title | Elementary differential equations with boundary value problems |
| title_auth | Elementary differential equations with boundary value problems |
| title_exact_search | Elementary differential equations with boundary value problems |
| title_full | Elementary differential equations with boundary value problems C. H. Edwards ; David E. Penney |
| title_fullStr | Elementary differential equations with boundary value problems C. H. Edwards ; David E. Penney |
| title_full_unstemmed | Elementary differential equations with boundary value problems C. H. Edwards ; David E. Penney |
| title_short | Elementary differential equations with boundary value problems |
| title_sort | elementary differential equations with boundary value problems |
| topic | Boundary value problems Differential equations Differentialgleichung (DE-588)4012249-9 gnd Eigenwertproblem (DE-588)4013802-1 gnd Gewöhnliche Differentialgleichung (DE-588)4020929-5 gnd Lehrbuch (DE-588)4123623-3 gnd Randwertproblem (DE-588)4048395-2 gnd |
| topic_facet | Boundary value problems Differential equations Differentialgleichung Eigenwertproblem Gewöhnliche Differentialgleichung Lehrbuch Randwertproblem |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007606387&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT edwardschenry elementarydifferentialequationswithboundaryvalueproblems AT penneydavide elementarydifferentialequationswithboundaryvalueproblems |