Mathematics for the physical sciences:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York [u.a.]
Springer
2002
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XI, 245 S. graph. Darst. |
| ISBN: | 0387953426 |
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MARC
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| 100 | 1 | |a Seaborn, James B. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Mathematics for the physical sciences |c James B. Seaborn |
| 264 | 1 | |a New York [u.a.] |b Springer |c 2002 | |
| 300 | |a XI, 245 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 4 | |a Physique mathématique | |
| 650 | 4 | |a Mathematische Physik | |
| 650 | 4 | |a Mathematical physics | |
| 650 | 0 | 7 | |a Mathematische Physik |0 (DE-588)4037952-8 |2 gnd |9 rswk-swf |
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Record in the Search Index
| _version_ | 1816444733188210688 |
|---|---|
| adam_text |
CONTENTS
PREFACE
VII
1
A
REVIEW
1
1.1
ELECTROSTATICS
.
1
1.2
ELECTRIC
CURRENT
.
3
1.3
MAGNETIC
FLUX
.
4
1.4
SIMPLE
HARMONIC
MOTION
.
5
1.5
A
RIGID
ROTATOR
.
7
1.6
EXERCISES
.
8
2
VECTORS
13
2.1
REPRESENTATIONS
OF
VECTORS
.
13
2.2
THE
SCALAR
PRODUCT
OF
TWO
VECTORS
.
16
2.3
THE
VECTOR
PRODUCT
OF
TWO
VECTORS
.
18
2.4
EXERCISES
.
24
3
VECTOR
CALCULUS
29
3.1
PARTIAL
DERIVATIVES
.
30
3.2
A
VECTOR
DIFFERENTIAL
OPERATOR
.
32
3.3
COMPONENTS
OF
THE
GRADIENT
.
34
3.4
FLUX
.
40
3.5
EXERCISES
.
59
X
CONTENTS
4
COMPLEX
NUMBERS
69
4.1
WHY
STUDY
COMPLEX
NUMBERS?
.
69
4.2
ROOTS
OF
A
COMPLEX
NUMBER
.
72
4.3
EXERCISES
.
74
5
DIFFERENTIAL
EQUATIONS
77
5.1
INFINITE
SERIES
.
79
5.2
ANALYTIC
FUNCTIONS
.
80
5.3
THE
CLASSICAL
HARMONIC
OSCILLATOR
.
82
5.4
BOUNDARY
CONDITIONS
.
84
5.5
POLYNOMIAL
SOLUTIONS
.
88
5.6
ELEMENTARY
FUNCTIONS
.
90
5.7
SINGULARITIES
.
91
5.8
EXERCISES
.
92
6
PARTIAL
DIFFERENTIAL
EQUATIONS
103
6.1
THE
METHOD
OF
SEPARATION
OF
VARIABLES
.
103
6.2
THE
QUANTUM
HARMONIC
OSCILLATOR
.
105
6.3
A
CONDUCTING
SPHERE
IN
AN
ELECTRIC
FIELD
.
109
6.4
THE
SCHRODINGER
EQUATION
FOR
A
CENTRAL
FIELD
.
115
6.5
EXERCISES
.
119
7
EIGENVALUE
PROBLEMS
127
7.1
BOUNDARY
VALUE
PROBLEMS
.
127
7.2
A
VIBRATING
DRUMHEAD
.
128
7.3
A
PARTICLE
IN
A
ONE-DIMENSIONAL
BOX
.
131
7.4
EXERCISES
.
132
8
ORTHOGONAL
FUNCTIONS
137
8.1
THE
FAILURE
OF
CLASSICAL
PHYSICS
.
137
8.2
OBSERVABLES
AND
THEIR
MEASUREMENT
.
138
8.3
MATHEMATICAL
OPERATORS
.
139
8.4
EIGENVALUE
EQUATIONS
.
139
8.5
THE
QUANTUM
HARMONIC
OSCILLATOR
.
143
8.6
STURM-LIOUVILLE
THEORY
.
145
8.7
THE
DIRAC
DELTA
FUNCTION
.
148
8.8
FOURIER
INTEGRALS
.
153
8.9
FOURIER
SERIES
.
156
8.10
PERIODIC
FUNCTIONS
.
161
8.11
EXERCISES
.
165
9
MATRIX
FORMULATION
OF
THE
EIGENVALUE
PROBLEM
179
9.1
REFORMULATING
THE
EIGENVALUE
PROBLEM
.
180
9.2
SYSTEMS
OF
LINEAR
EQUATIONS
.
180
9.3
BACK
TO
THE
EIGENVALUE
PROBLEM
.
182
CONTENTS
XI
9.4
COUPLED
HARMONIC
OSCILLATORS
.
193
9.5
A
ROTATING
RIGID
BODY
.
195
9.6
EXERCISES
.
198
10
VARIATIONAL
PRINCIPLES
207
10.1
FERMAT
'
S
PRINCIPLE
.
207
10.2
ANOTHER
VARIATIONAL
CALCULATION
.
209
10.3
THE
EULER-LAGRANGE
EQUATION
.
211
10.4
EXERCISES
.
221
APPENDIX
A
VECTOR
RELATIONS
227
A.L
VECTOR
IDENTITIES
.
227
A.2
INTEGRAL
THEOREMS
.
227
A.3
THE
FUNCTIONS
OF
VECTOR
CALCULUS
.
228
APPENDIX
B
FUNDAMENTAL
EQUATIONS
OF
PHYSICS
229
B.L
POISSON
'
S
EQUATION
.
229
B.2
LAPLACE
'
S
EQUATION
.
229
B.3
MAXWELL
'
S
EQUATIONS
.
229
B.4
TIME-DEPENDENT
SCHRODINGER
EQUATION
.
230
APPENDIX
C
SOME
USEFUL
INTEGRALS
AND
SUMS
231
C.L
INTEGRALS
.
231
C.2
SUMS
.
234
APPENDIX
D
ALGEBRAIC
EQUATIONS
235
D.L
QUADRATIC
EQUATION
.
235
D.2
CUBIC
EQUATION
.
235
REFERENCES
237
BIBLIOGRAPHY
239
INDEX
241 |
| any_adam_object | 1 |
| author | Seaborn, James B. |
| author_facet | Seaborn, James B. |
| author_role | aut |
| author_sort | Seaborn, James B. |
| author_variant | j b s jb jbs |
| building | Verbundindex |
| bvnumber | BV014173149 |
| callnumber-first | Q - Science |
| callnumber-label | QC20 |
| callnumber-raw | QC20 |
| callnumber-search | QC20 |
| callnumber-sort | QC 220 |
| callnumber-subject | QC - Physics |
| classification_rvk | SK 950 |
| ctrlnum | (OCoLC)47667272 (DE-599)BVBBV014173149 |
| dewey-full | 530.15 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.15 |
| dewey-search | 530.15 |
| dewey-sort | 3530.15 |
| dewey-tens | 530 - Physics |
| discipline | Physik Mathematik |
| format | Book |
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| id | DE-604.BV014173149 |
| illustrated | Illustrated |
| indexdate | 2024-11-22T17:31:26Z |
| institution | BVB |
| isbn | 0387953426 |
| language | English |
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| physical | XI, 245 S. graph. Darst. |
| publishDate | 2002 |
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| spelling | Seaborn, James B. Verfasser aut Mathematics for the physical sciences James B. Seaborn New York [u.a.] Springer 2002 XI, 245 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Physique mathématique Mathematische Physik Mathematical physics Mathematische Physik (DE-588)4037952-8 gnd rswk-swf Mathematische Physik (DE-588)4037952-8 s DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009715897&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Seaborn, James B. Mathematics for the physical sciences Physique mathématique Mathematische Physik Mathematical physics Mathematische Physik (DE-588)4037952-8 gnd |
| subject_GND | (DE-588)4037952-8 |
| title | Mathematics for the physical sciences |
| title_auth | Mathematics for the physical sciences |
| title_exact_search | Mathematics for the physical sciences |
| title_full | Mathematics for the physical sciences James B. Seaborn |
| title_fullStr | Mathematics for the physical sciences James B. Seaborn |
| title_full_unstemmed | Mathematics for the physical sciences James B. Seaborn |
| title_short | Mathematics for the physical sciences |
| title_sort | mathematics for the physical sciences |
| topic | Physique mathématique Mathematische Physik Mathematical physics Mathematische Physik (DE-588)4037952-8 gnd |
| topic_facet | Physique mathématique Mathematische Physik Mathematical physics |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009715897&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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