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Wavelets: Time-Frequency Methods and Phase Space (Softcover Reprint of the Original 1st 1989)

Wavelets

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"Wavelets" by Jean-Michel Combes, Alexander Grossmann, Philippe Tchamitchian is a mathematics book and learning resource focused on General Astronomy. Best for teachers, students, and readers looking for stronger mathematical understanding.

The last two subjects mentioned in the title "Wavelets" are so well established that they do not need any explanations. The first is related to them, but a short introduction is appropriate since the concept of wavelets emerged fairly recently. Roughly speaking, a wavelet decomposition is an expansion of an arbitrary function into smooth localized contributions labeled by a scale and a position pa rameter. Many of the ideas and techniques related to such expansions have existed for a long time and are widely used in mathematical analysis, theoretical physics and engineering. However, the rate of progress increased significantly when it was realized that these ideas could give rise to straightforward calculational methods applicable to different fields. The interdisciplinary structure (R.c.P. "Ondelettes") of the C.N .R.S. and help from the Societe Nationale Elf-Aquitaine greatly fostered these developments. This conference was held at the Centre National de Rencontres Mathematiques (C.I.R.M) in Marseille from December 14 to 18, 1987 and brought together an interdisciplinary mix of participants. We hope that these proceedings will convey to the reader some of the excitement and flavor of the meeting.

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Best For: Students and researchers in astronomy, physics, and acoustics interested in mathematical methods.
Focus: Introduction to wavelet decomposition and its application to time-frequency analysis and phase space.
Covers: Basic concepts of wavelets, their mathematical foundations, and their use in analyzing functions with scale and position parameters.
Why It Matters: Provides foundational understanding of wavelets, a relatively recent concept, and their relevance to various scientific fields including astronomy and acoustics.

"Wavelets" by Jean-Michel Combes, Alexander Grossmann, Philippe Tchamitchian is a mathematics book and learning resource focused on General Astronomy. Best for teachers, students, and readers looking for stronger mathematical understanding.

Topic: General Astronomy

Author: Jean-Michel Combes, Alexander Grossmann, Philippe Tchamitchian

Who this is for:

  • Teachers and classroom instructors
  • Students building subject mastery
  • Readers looking for practical learning support

Why this book matters: It stands out as a practical math resource that helps explain concepts, strengthen problem-solving, and support classroom or independent learning.

The last two subjects mentioned in the title "Wavelets" are so well established that they do not need any explanations. The first is related to them, but a short introduction is appropriate since the concept of wavelets emerged fairly recently. Roughly speaking, a wavelet decomposition is an expansion of an arbitrary function into smooth localized contributions labeled by a scale and a position pa rameter. Many of the ideas and techniques related to such expansions have existed for a long time and are widely used in mathematical analysis, theoretical physics and engineering. However, the rate of progress increased significantly when it was realized that these ideas could give rise to straightforward calculational methods applicable to different fields. The interdisciplinary structure (R.c.P. "Ondelettes") of the C.N .R.S. and help from the Societe Nationale Elf-Aquitaine greatly fostered these developments. This conference was held at the Centre National de Rencontres Mathematiques (C.I.R.M) in Marseille from December 14 to 18, 1987 and brought together an interdisciplinary mix of participants. We hope that these proceedings will convey to the reader some of the excitement and flavor of the meeting.

AuthorJean-Michel Combes, Alexander Grossmann, Philippe Tchamitchian
PublisherSpringer
Published2012-02-25
ISBN-139783642971792
BindingPaperback
Pages315
LanguageEnglish
SubjectsScience
TopicGeneral Astronomy
SeriesInverse Problems and Theoretical Imaging

Format: Paperback

Length: 315 pages

Language: English

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