Applied Mathematics of science and engineering:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
London
Wiley
1971
|
| Series: | Introductory mathematics for scientists and engineers
|
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 489 S. |
Staff View
MARC
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| 100 | 1 | |a Dixon, Charles |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Applied Mathematics of science and engineering |c Charles Dixon |
| 264 | 1 | |a London |b Wiley |c 1971 | |
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| 490 | 0 | |a Introductory mathematics for scientists and engineers | |
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Record in the Search Index
| _version_ | 1804140536591810560 |
|---|---|
| adam_text | Contents
1 Vector operators
1.1 Line integrals 1
1.2 Surface integrals . . . . . . . .11
1.3 Volume integrals ........ 26
1.4 Scalar and vector fields 30
1.5 The gradient of the scalar function 99 .... 30
1.6 The divergence of a vector 35
1.7 The curl or rotation of a vector a 39
1.8 Second-order expressions ...... 48
1.9 Orthogonal curvilinear coordinates .... 51
1.10 Gauss theorem 70
1.11 Stokes theorem 74
1.12 Scalar potential 77
1.13 Vector potential 85
1.14 Green s theorem ........ 91
2 Physical fields
2.1 Fluid dynamics ........ 94
2.2 Electrostatics 110
2.3 Magnetostatics 143
2.4 Current electricity 147
2.5 Gravitation 153
2.6 Source distributions 159
2.7 Soil Mechanics 175
3 Method of images
3.1 Fundamental theorem 178
3.2 Electrostatic images 180
3.3 Hydrodynamic images 202
4 Fonrier series
4.1 Periodic functions ....... 205
4.2 Fourier series 206
xi
xii Contents
4.3 Odd and even functions 216
4.4 Half-range series 218
4.5 Change of scale 225
4.6 Integration of Fourier series 230
4.7 Parseval s theorem 233
4.8 Differentiation of Fourier series 236
5 Solution in series; Bessel functions; Legendre polynomials
5.1 Solution in series 239
5.2 TheWronskian 254
5.3 Bessel s equation—Bessel functions .... 255
5.4 Legendre s equation—Legendre polynomials . . . 267
5.5 Numerical Methods 280
6 Solutions of Laplace s equation
6.1 Introduction 281
6.2 Solution using Cartesian co-ordinates .... 284
6.3 Solution using cylindrical polar coordinates (/ , xp, z) ¦ 296
6.4 Solution using spherical polar coordinates (r, Q, ip)
(spherical harmonics) 311
7 The heat conduction equation
7.1 Introduction 325
7.2 Solutions of the heat conduction equation . . . 328 ;
8 The wave equation
8.1 Waves on strings (the one-dimensional wave equation) . 352 :
8.2 Plane waves and spherical waves 357 |
8.3 Stationary waves 359 j
8.4 Waves in membranes 371 !
8.5 Longitudinal waves 380 I
8.6 Soundwaves 390 I
i
9 The use of complex potential and conformal mappings in the
solution of two-dimensional problems
9.1 Continuity, differentiability and the Cauchy-Riemann
equations 401
9.2 Conjugate functions 407 [
9.3 Complex potential 411 ;
Contents xiii
9.4 Conformal mappings ....... 442
9.5 Applications 457
Appendix 1. The gamma (or factorial) function .... 468
Appendix 2. The Bessel function Yv(x) 470
Appendix 3. Leibniz theorem 472
Answers 474
Index 485
|
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| id | DE-604.BV024532669 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T22:01:32Z |
| institution | BVB |
| language | English |
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| owner_facet | DE-83 |
| physical | 489 S. |
| publishDate | 1971 |
| publishDateSearch | 1971 |
| publishDateSort | 1971 |
| publisher | Wiley |
| record_format | marc |
| series2 | Introductory mathematics for scientists and engineers |
| spelling | Dixon, Charles Verfasser aut Applied Mathematics of science and engineering Charles Dixon London Wiley 1971 489 S. txt rdacontent n rdamedia nc rdacarrier Introductory mathematics for scientists and engineers HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018506600&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Dixon, Charles Applied Mathematics of science and engineering |
| title | Applied Mathematics of science and engineering |
| title_auth | Applied Mathematics of science and engineering |
| title_exact_search | Applied Mathematics of science and engineering |
| title_full | Applied Mathematics of science and engineering Charles Dixon |
| title_fullStr | Applied Mathematics of science and engineering Charles Dixon |
| title_full_unstemmed | Applied Mathematics of science and engineering Charles Dixon |
| title_short | Applied Mathematics of science and engineering |
| title_sort | applied mathematics of science and engineering |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018506600&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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