Introduction to partial differential equations and boundary value problems:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York [u.a.]
McGraw-Hill
1968
|
| Series: | International series in pure and applied mathematics
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VIII, 376 S. |
| ISBN: | 0070163960 |
Staff View
MARC
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| 245 | 1 | 0 | |a Introduction to partial differential equations and boundary value problems |
| 264 | 1 | |a New York [u.a.] |b McGraw-Hill |c 1968 | |
| 300 | |a VIII, 376 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
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| 490 | 0 | |a International series in pure and applied mathematics | |
| 650 | 7 | |a Partiële differentiaalvergelijkingen |2 gtt | |
| 650 | 4 | |a Problèmes aux limites | |
| 650 | 4 | |a Équations aux dérivées partielles | |
| 650 | 4 | |a Boundary value problems | |
| 650 | 4 | |a Differential equations, Partial | |
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Record in the Search Index
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|---|---|
| adam_text | CONTENTS
Preface v
Chapter 1 Introduction to Partial Differential Equations; First
order Equations 1
1 1 Introduction 1
1 2 Classification of Equations; Notation 1
1 3 Formation of Equations; Geometric Examples 3
1 4 Linear First order Equations 8
1 5 Quasilinear First order Equations; Method of
Lagrange 15
1 6 Cauchy Problem for Quasilinear First order Equa¬
tions 24
Problems 30
Chapter 2 Linear Second order Equations 38
2 1 Introduction 38
2 2 Linear Second order Equations in Two Independ¬
ent Variables 39
2 3 Linear Second order Equations in n Independent
Variables 43
2 4 Normal Forms. Hyperbolic, Parabolic, and Ellip¬
tic Equations 47
2 5 Cauchy Problem for Linear Second order Equations
in Two Independent Variables 58
2 6 Cauchy Problem for Linear Second order Equations
in n Independent Variables 69
2 7 Adjoint Operator. Green s Formula. Self adjoint
Differential Operator 79
Problems 82
Chapter 3 Elliptic Differential Equations 92
3 1 Introduction 92
3 2 Laplace s Equation and Poisson s Equation.
Properties of Harmonic Functions 94
3 3 Separation of Variables in Laplace s Equation 102
3 4 Spherical Harmonics 115
Yii
Tlii CONTENTS
3 5 Self Adjoint Elliptic type Boundary value Problems 123
Problems 144
Chapter 4 The Wave Equation 160
4 1 Introduction 160
4 2 One dimensional Wave Equation; Initial value
Problem 161
4 3 Vibrating String. Separation of Variables 170
4 4 Two dimensional Wave Equation. Initial value
Problem 184
4 5 Boundary and Initial value Problem for the Two
dimensional Wave Equation 191
4 6 Initial value Problem for the Three dimensional
Wave Equation 204
4 7 Spherical Waves. Cylindrical Waves 215
Problems 228
Chapter 5 The Heat Equation 282
5 1 Introduction 282
5 2 Initial value Problems 286
5 3 Boundary and Initial value Problem for the Heat
Equation. Method of Eigenfunctions 295
5 4 Maximum Minimum Principle for the Heat Equa¬
tion. An Existence and Uniqueness Theorem 305
Problems 314
Appendix 1 Cauchy Kowalewski Theorem (Special Case) 321
Appendix 2 Sturm Liouville Problems. Fourier Series, Fourier
Legendre and Fourier Bessel Series 328
Appendix 3 References and Bibliography 349
Appendix 4 Answers 353
Index 367
|
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| discipline | Mathematik |
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| id | DE-604.BV002307503 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:43:45Z |
| institution | BVB |
| isbn | 0070163960 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001516493 |
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| physical | VIII, 376 S. |
| psigel | TUB-www HUB-ZB011200801 |
| publishDate | 1968 |
| publishDateSearch | 1968 |
| publishDateSort | 1968 |
| publisher | McGraw-Hill |
| record_format | marc |
| series2 | International series in pure and applied mathematics |
| spelling | Dennemeyer, Rene Verfasser aut Introduction to partial differential equations and boundary value problems New York [u.a.] McGraw-Hill 1968 VIII, 376 S. txt rdacontent n rdamedia nc rdacarrier International series in pure and applied mathematics Partiële differentiaalvergelijkingen gtt Problèmes aux limites Équations aux dérivées partielles Boundary value problems Differential equations, Partial Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf Randwertproblem (DE-588)4048395-2 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 s Randwertproblem (DE-588)4048395-2 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001516493&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Dennemeyer, Rene Introduction to partial differential equations and boundary value problems Partiële differentiaalvergelijkingen gtt Problèmes aux limites Équations aux dérivées partielles Boundary value problems Differential equations, Partial Partielle Differentialgleichung (DE-588)4044779-0 gnd Randwertproblem (DE-588)4048395-2 gnd |
| subject_GND | (DE-588)4044779-0 (DE-588)4048395-2 |
| title | Introduction to partial differential equations and boundary value problems |
| title_auth | Introduction to partial differential equations and boundary value problems |
| title_exact_search | Introduction to partial differential equations and boundary value problems |
| title_full | Introduction to partial differential equations and boundary value problems |
| title_fullStr | Introduction to partial differential equations and boundary value problems |
| title_full_unstemmed | Introduction to partial differential equations and boundary value problems |
| title_short | Introduction to partial differential equations and boundary value problems |
| title_sort | introduction to partial differential equations and boundary value problems |
| topic | Partiële differentiaalvergelijkingen gtt Problèmes aux limites Équations aux dérivées partielles Boundary value problems Differential equations, Partial Partielle Differentialgleichung (DE-588)4044779-0 gnd Randwertproblem (DE-588)4048395-2 gnd |
| topic_facet | Partiële differentiaalvergelijkingen Problèmes aux limites Équations aux dérivées partielles Boundary value problems Differential equations, Partial Partielle Differentialgleichung Randwertproblem |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001516493&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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