Partial differential equations for scientists and engineers:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
London u.a.
Longman
1985
|
| Edition: | 3. ed. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Früh. Aufl. u.d.T.: Stephenson, Geoffrey: +An introduction to partial differential equations for science students |
| Physical Description: | X, 161 S. graph. Darst. |
| ISBN: | 0582446961 |
Staff View
MARC
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| 245 | 1 | 0 | |a Partial differential equations for scientists and engineers |
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| 264 | 1 | |a London u.a. |b Longman |c 1985 | |
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| 500 | |a Früh. Aufl. u.d.T.: Stephenson, Geoffrey: +An introduction to partial differential equations for science students | ||
| 650 | 4 | |a Mathématiques de l'ingénieur | |
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| 650 | 4 | |a Équations aux dérivées partielles | |
| 650 | 4 | |a Mathematik | |
| 650 | 4 | |a Naturwissenschaft | |
| 650 | 4 | |a Differential equations, Partial | |
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Record in the Search Index
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| adam_text | Titel: Partial differential equations for scientists and engineers
Autor: Stephenson, Geoffrey
Jahr: 1985
CONTENTS
Preface
.........
ix
1.
Basic
Concepts
1.1
Introduction
........1
1.2
The
wave
equation
.......
6
1.3
Some
important
equations.....10
Problems
1
........
12
2.
Classification
of
Equations
and
Boundary
Conditions
2.1
Types
of
equations.......13
2.2
Euler’s
equation
.......
15
2.3
Boundary
conditions
......
20
2.4
Laplace s
equation
and
the
Dirichlet
problem
.
.
22
2.5
D’Alembert’s
solution
of
the
wave
equation...
25
Problems
2........
26
3.
Orthonormal
Functions
3.1
Superposition
of
solutions
.
.....
28
3.2
Orthonormal
functions
......
33
3.3
Expansion
of
a
function
in
a
series
of
orthonormal
functions
........
35
3.4
The
Sturm-Liouville
equation
.....
38
Problems
3
.
......41
4.
Applications
of
Fourier’s
Method
4.1
Coordinate
systems
and
separability
....
42
4.2
Homogeneous
equations
......
47
4.3
Non-homogeneous
boundary
conditions
...
54
4.4
Inhomogeneous
equations
.....
57
Problems
4
.....59
v
Contents
5.
Problems
involving
Cylindrical
and
Spherical
Symmetry
5.1
Simple
solutions
of
Laplace’s
equation
62
5.2
The
Dirichlet
problem
for
a
circle
....
63
5.3
Special
functions
.......
66
5.4
Boundary
value
problems
involving
special
functions
.
67
Problems
5
.......
77
6.
Continuous
Eigenvalues
and
Fourier
Integrals
6.1
Introduction
........
79
6.2
The
Fourier
integral
......
80
6.3
Application
of
Fourier
integrals
to
boundary
value
problems
........
84
Problems
6
.......
87
7.
The
Laplace
Transform
7.1
Integral
transforms
.......
89
7.2
The
Laplace
transform
......
91
7.3
Inverse
Laplace
transforms
.....
95
7.4
The
error
function
.......
98
7.5
The
Heaviside
unit
step
function.
....
99
7.6
Laplace
transforms
of
derivatives
....
101
7.7
Solution
of
ordinary
differential
equations
.
102
Problems
7
.......
105
8.
Transform
Methods
for
Boundary
Value
Problems
8.1
Introduction
........
107
8.2
Applications
of
the
Laplace
transform.
108
8.3
Applications
of
the
Fourier
sine
and
cosine
transforms
.
118
8.4
Inhomogeneous
equations
122
Problems
8
126
9.
Green
s
Functions
and
Generalised
Functions
9.1
Introduction
128
9.2
Generalised
functions
129
9.3
Green’s
functions
.
134
Problems
9
138
vi
Contents
10.
The
Numerical
Approach
10.1
Introduction.....................................
140
10.2
Finite
difference
methods..........................
141
10.3
Variational
calculus
-
the
finite
element
method......
150
Further
Reading......................................
156
Answers
to
Problems..................................
158
Index
...............................................
160
vii
|
| any_adam_object | 1 |
| author | Stephenson, Geoffrey |
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| dewey-full | 515.3/53 |
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| dewey-ones | 515 - Analysis |
| dewey-raw | 515.3/53 |
| dewey-search | 515.3/53 |
| dewey-sort | 3515.3 253 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 3. ed. |
| format | Book |
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| id | DE-604.BV003649747 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T16:03:19Z |
| institution | BVB |
| isbn | 0582446961 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002324705 |
| oclc_num | 11726865 |
| open_access_boolean | |
| owner | DE-384 DE-355 DE-BY-UBR DE-706 DE-83 |
| owner_facet | DE-384 DE-355 DE-BY-UBR DE-706 DE-83 |
| physical | X, 161 S. graph. Darst. |
| publishDate | 1985 |
| publishDateSearch | 1985 |
| publishDateSort | 1985 |
| publisher | Longman |
| record_format | marc |
| spelling | Stephenson, Geoffrey Verfasser aut Partial differential equations for scientists and engineers 3. ed. London u.a. Longman 1985 X, 161 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Früh. Aufl. u.d.T.: Stephenson, Geoffrey: +An introduction to partial differential equations for science students Mathématiques de l'ingénieur Sciences - Mathématiques Équations aux dérivées partielles Mathematik Naturwissenschaft Differential equations, Partial Engineering mathematics Science Mathematics Naturwissenschaften (DE-588)4041421-8 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 s Naturwissenschaften (DE-588)4041421-8 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002324705&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Stephenson, Geoffrey Partial differential equations for scientists and engineers Mathématiques de l'ingénieur Sciences - Mathématiques Équations aux dérivées partielles Mathematik Naturwissenschaft Differential equations, Partial Engineering mathematics Science Mathematics Naturwissenschaften (DE-588)4041421-8 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| subject_GND | (DE-588)4041421-8 (DE-588)4044779-0 |
| title | Partial differential equations for scientists and engineers |
| title_auth | Partial differential equations for scientists and engineers |
| title_exact_search | Partial differential equations for scientists and engineers |
| title_full | Partial differential equations for scientists and engineers |
| title_fullStr | Partial differential equations for scientists and engineers |
| title_full_unstemmed | Partial differential equations for scientists and engineers |
| title_short | Partial differential equations for scientists and engineers |
| title_sort | partial differential equations for scientists and engineers |
| topic | Mathématiques de l'ingénieur Sciences - Mathématiques Équations aux dérivées partielles Mathematik Naturwissenschaft Differential equations, Partial Engineering mathematics Science Mathematics Naturwissenschaften (DE-588)4041421-8 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| topic_facet | Mathématiques de l'ingénieur Sciences - Mathématiques Équations aux dérivées partielles Mathematik Naturwissenschaft Differential equations, Partial Engineering mathematics Science Mathematics Naturwissenschaften Partielle Differentialgleichung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002324705&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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