Approximation Theory : From Taylor Polynomials to Wavelets
This concisely written book gives an elementary introduction to a classical area of mathematics approximation theory in a way that naturally leads to the modern field of wavelets. The exposition, driven by ideas rather than technical details and proofs, demonstrates the dynamic nature of mathematics...
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| Format: | Livre numérique |
| Langue: | Anglais |
| Publié: |
Boston, MA :
Birkhäuser Boston
2005.
Cham : Springer Nature |
| Collection: | Applied and Numerical Harmonic Analysis
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| Accès en ligne: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Note: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Approximation Theory, Texte imprimé, 9781468495966 • Approximation Theory, From Taylor Polynomials to Wavelets, Ole Christensen, Khadija L. Christensen, Boston, Birkhäuser, 2004, 1 vol. (XI-156 p.), Applied and Numerical Harmonic Analysis, 0-8176-3600-5 |
| Résumé: | This concisely written book gives an elementary introduction to a classical area of mathematics approximation theory in a way that naturally leads to the modern field of wavelets. The exposition, driven by ideas rather than technical details and proofs, demonstrates the dynamic nature of mathematics and the influence of classical disciplines on many areas of modern mathematics and applications. Key features and topics: * Description of wavelets in words rather than mathematical symbols * Elementary introduction to approximation using polynomials (Weierstrass and Taylor s theorems) * Introduction to infinite series, with emphasis on approximation-theoretic aspects * Introduction to Fourier analysis * Numerous classical, illustrative examples and constructions * Discussion of the role of wavelets in digital signal processing and data compression, such as the FBI s use of wavelets to store fingerprints * Minimal prerequisites: elementary calculus * Exercises that may be used in undergraduate and graduate courses on infinite series and Fourier series Approximation Theory: From Taylor Polynomials to Wavelets will be an excellent textbook or self-study reference for students and instructors in pure and applied mathematics, mathematical physics, and engineering. Readers will find motivation and background material pointing toward advanced literature and research topics in pure and applied harmonic analysis and related areas. |
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| Description: | Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| ISBN: | 9780817644482 |
| ISSN: | 2296-5017 |
| Accès: | Accès en ligne pour les établissements français bénéficiaires des licences nationales Accès soumis à abonnement pour tout autre établissement Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. chttps://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 |