Differential equations for engineers and applied scientists:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
London u.a.
McGraw-Hill
1974
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 190 S. graph. Darst. |
| ISBN: | 0070840415 0070840431 |
Staff View
MARC
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Record in the Search Index
| _version_ | 1804118059360714752 |
|---|---|
| adam_text | Contents
Page
Preface vii
Chapter 1 Some strategic features of technical analysis
1.1 Introduction 1
1.2 A basic strategy for technical analysis 5
1.3 A selection of commonly used input output relationships 10
1.4 The analogous behaviour of mechanical and electrical
elements 18
Chapter 2 The analysis of first order systems
2.1 Introduction 22
2.2 A selection of practical first order systems having
analogous behaviour 22
2.3 The solution of first order differential equations 28
2.4 Solution of the exponential lag first order system 35
2.5 Miscellaneous first order systems 42
Chapter 3 The analysis of second order systems
3.1 Introduction 51
3.2 Examples of second order systems having analogous
behaviour 51
3.3 The solution of second order differential equations 53
3.4 Solution of the complex lag second order system 71
3.5 Boundary value problems 80
Chapter 4 The application of Laplace transforms to the solution of initial
value problems
4.1 Introduction 89
4.2 Fourier series 89
4.3 Fourier integrals 95
4.4 The definition of the Laplace transform 101
4.5 The Laplace transform of ordinary differential equations 106
4.6 A selection of examples to illustrate how the Laplace
transform of a differential equation is achieved 109
4.7 The inversion of Laplace transforms 113
4.8 Worked examples and concluding remarks 121
Chapter 5 The numerical solution of ordinary differential equations
5.1 Introduction 133
5.2 Conditions necessary for a solution to exist 136
5.3 The Euler method 137
5.4 The estimation of errors 143
5.5 The modified Euler method (a simple predictor corrector
method) 149
5.6 A numerical method based on the Taylor series 156
5.7 Runge Kutta methods 161
5.8 Predictor corrector methods 165
5.9 The solution of simultaneous first order equations and its
extension to second and higher order initial value problems 172
5.10 Inherent and induced instabilities 178
Answers 185
Index 189
|
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| id | DE-604.BV003714450 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T16:04:16Z |
| institution | BVB |
| isbn | 0070840415 0070840431 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002364396 |
| oclc_num | 1255480 |
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| owner | DE-91G DE-BY-TUM DE-29T DE-706 DE-83 |
| owner_facet | DE-91G DE-BY-TUM DE-29T DE-706 DE-83 |
| physical | 190 S. graph. Darst. |
| publishDate | 1974 |
| publishDateSearch | 1974 |
| publishDateSort | 1974 |
| publisher | McGraw-Hill |
| record_format | marc |
| spelling | Morris, William D. Verfasser aut Differential equations for engineers and applied scientists W. D. Morris London u.a. McGraw-Hill 1974 190 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Équations différentielles Differential equations Differentialgleichung (DE-588)4012249-9 gnd rswk-swf Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf Differentialgleichung (DE-588)4012249-9 s Numerisches Verfahren (DE-588)4128130-5 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002364396&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Morris, William D. Differential equations for engineers and applied scientists Équations différentielles Differential equations Differentialgleichung (DE-588)4012249-9 gnd Numerisches Verfahren (DE-588)4128130-5 gnd |
| subject_GND | (DE-588)4012249-9 (DE-588)4128130-5 |
| title | Differential equations for engineers and applied scientists |
| title_auth | Differential equations for engineers and applied scientists |
| title_exact_search | Differential equations for engineers and applied scientists |
| title_full | Differential equations for engineers and applied scientists W. D. Morris |
| title_fullStr | Differential equations for engineers and applied scientists W. D. Morris |
| title_full_unstemmed | Differential equations for engineers and applied scientists W. D. Morris |
| title_short | Differential equations for engineers and applied scientists |
| title_sort | differential equations for engineers and applied scientists |
| topic | Équations différentielles Differential equations Differentialgleichung (DE-588)4012249-9 gnd Numerisches Verfahren (DE-588)4128130-5 gnd |
| topic_facet | Équations différentielles Differential equations Differentialgleichung Numerisches Verfahren |
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