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Linear water waves: a mathematical approach

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Bibliographic Details
Main Authors:	Kuznecov, Nikolaj G. (Author), Mazʹja, Vladimir Gilelevič 1937- (Author), Vajnberg, Boris R. (Author)
Format:	Book
Language:	English
Published:	Cambridge [u.a.] Cambridge Univ. Press 2002
Edition:	1. publ.
Subjects:	Mouvement ondulatoire, Théorie du Vagues - Mathématiques Mathematik Water waves > Mathematics Wave-motion, Theory of Wasserwelle Mathematisches Modell
Links:	http://www.loc.gov/catdir/description/cam022/2001052968.html http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009959039&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Physical Description:	XVII, 513 S. graph. Darst.
ISBN:	0521808537

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Record in the Search Index

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adam_text	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author	Kuznecov, Nikolaj G. Mazʹja, Vladimir Gilelevič 1937- Vajnberg, Boris R.
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spellingShingle	Kuznecov, Nikolaj G. Mazʹja, Vladimir Gilelevič 1937- Vajnberg, Boris R. Linear water waves a mathematical approach Mouvement ondulatoire, Théorie du Vagues - Mathématiques Mathematik Water waves Mathematics Wave-motion, Theory of Wasserwelle (DE-588)4136091-6 gnd Mathematisches Modell (DE-588)4114528-8 gnd
subject_GND	(DE-588)4136091-6 (DE-588)4114528-8
title	Linear water waves a mathematical approach
title_auth	Linear water waves a mathematical approach
title_exact_search	Linear water waves a mathematical approach
title_full	Linear water waves a mathematical approach N. Kuznetsov ; V. Mazya ; B. Vainberg
title_fullStr	Linear water waves a mathematical approach N. Kuznetsov ; V. Mazya ; B. Vainberg
title_full_unstemmed	Linear water waves a mathematical approach N. Kuznetsov ; V. Mazya ; B. Vainberg
title_short	Linear water waves
title_sort	linear water waves a mathematical approach
title_sub	a mathematical approach
topic	Mouvement ondulatoire, Théorie du Vagues - Mathématiques Mathematik Water waves Mathematics Wave-motion, Theory of Wasserwelle (DE-588)4136091-6 gnd Mathematisches Modell (DE-588)4114528-8 gnd
topic_facet	Mouvement ondulatoire, Théorie du Vagues - Mathématiques Mathematik Water waves Mathematics Wave-motion, Theory of Wasserwelle Mathematisches Modell
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