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Singular Perturbation Theory: Mathematical and Analytical Techniques with Applications to Engineering

R. S. Johnson

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Institución detectada Año de publicación Navegá Descargá Solicitá
No detectada 2005 SpringerLink

Información

Tipo de recurso:

libros

ISBN impreso

978-0-387-23200-3

ISBN electrónico

978-0-387-23217-1

Editor responsable

Springer Nature

País de edición

Reino Unido

Fecha de publicación

Información sobre derechos de publicación

© Springer Science + Business Media, Inc. Boston 2005

Tabla de contenidos

Mathematical Preliminaries

R. S. Johnson

In the preceding chapters I showed how there are certain common elements in humanity’s cultural history which can equally be found in European, Middle and Far Eastern, African, American and Australian aboriginal cultures. Their origins are ancient. These decorative elements already appeared in periods when — we assume — these cultures existed independently, without influencing one another. The silk route, for example, only began to ‘operate’ in the 14 century BC at the earliest. We are not suggesting that neighbouring peoples did not establish contact with each other before this, but that larger items displaying decorative elements can only have been taken to far-away lands when the required means of transportation became available. There are many possible explanations for similar decorative elements in different places, one of which can be from humanity’s natural environment.

Pp. 1-46

Introductory Applications

R. S. Johnson

In the preceding chapters I showed how there are certain common elements in humanity’s cultural history which can equally be found in European, Middle and Far Eastern, African, American and Australian aboriginal cultures. Their origins are ancient. These decorative elements already appeared in periods when — we assume — these cultures existed independently, without influencing one another. The silk route, for example, only began to ‘operate’ in the 14 century BC at the earliest. We are not suggesting that neighbouring peoples did not establish contact with each other before this, but that larger items displaying decorative elements can only have been taken to far-away lands when the required means of transportation became available. There are many possible explanations for similar decorative elements in different places, one of which can be from humanity’s natural environment.

Pp. 47-113

Further Applications

R. S. Johnson

In the preceding chapters I showed how there are certain common elements in humanity’s cultural history which can equally be found in European, Middle and Far Eastern, African, American and Australian aboriginal cultures. Their origins are ancient. These decorative elements already appeared in periods when — we assume — these cultures existed independently, without influencing one another. The silk route, for example, only began to ‘operate’ in the 14 century BC at the earliest. We are not suggesting that neighbouring peoples did not establish contact with each other before this, but that larger items displaying decorative elements can only have been taken to far-away lands when the required means of transportation became available. There are many possible explanations for similar decorative elements in different places, one of which can be from humanity’s natural environment.

Pp. 115-156

The Method of Multiple Scales

R. S. Johnson

In the preceding chapters I showed how there are certain common elements in humanity’s cultural history which can equally be found in European, Middle and Far Eastern, African, American and Australian aboriginal cultures. Their origins are ancient. These decorative elements already appeared in periods when — we assume — these cultures existed independently, without influencing one another. The silk route, for example, only began to ‘operate’ in the 14 century BC at the earliest. We are not suggesting that neighbouring peoples did not establish contact with each other before this, but that larger items displaying decorative elements can only have been taken to far-away lands when the required means of transportation became available. There are many possible explanations for similar decorative elements in different places, one of which can be from humanity’s natural environment.

Pp. 157-195

Some Worked Examples Arising from Physical Problems

R. S. Johnson

In the preceding chapters I showed how there are certain common elements in humanity’s cultural history which can equally be found in European, Middle and Far Eastern, African, American and Australian aboriginal cultures. Their origins are ancient. These decorative elements already appeared in periods when — we assume — these cultures existed independently, without influencing one another. The silk route, for example, only began to ‘operate’ in the 14 century BC at the earliest. We are not suggesting that neighbouring peoples did not establish contact with each other before this, but that larger items displaying decorative elements can only have been taken to far-away lands when the required means of transportation became available. There are many possible explanations for similar decorative elements in different places, one of which can be from humanity’s natural environment.

Pp. 197-268