Analysis and Probability: Wavelets, Signals, Fractals (Graduate Texts in Mathematics, Band 234) - Softcover

Jorgensen, Palle E. T.

Softcover

ISBN 10: 1441921265 ISBN 13: 9781441921260

Verlag: Springer, 2010

Inhaltsangabe

Combines analysis and tools from probability, harmonic analysis, operator theory, and engineering (signal/image processing)

Interdisciplinary focus with hands-on approach, generous motivation and new pedagogical techniques

Numerous exercises reinforce fundamental concepts and hone computational skills

Separate sections explain engineering terms to mathematicians and operator theory to engineers

Examines modern trends

Fills a gap in the literature

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Über die Autorin bzw. den Autor

Zhihua Zhang is a Taishan Distinguished Professor at Shandong University, China and is leading an interdisciplinary big data mining research group. His long-standing researches focus on big data, climate change mechanisms, environmental evolution and sustainability. He has published 8 books (2 with Elsevier, 5 with Springer, and 1 with DeGruyter) and more than 70 articles. He is a chief editor, associate editor, or editorial board member of many global known journals on applied mathematics, climate and environmental science, as well as the first-track chair and plenary speaker of Mediterranean Geosciences Union Annual Meeting.

Palle E.T. Jorgensen is a Professor at the University of Iowa. His prior academic/teaching positions include the University of Pennsylvania, Stanford University, and Aarhus University (Denmark.) He has authored more than 300 highly cited research papers, and more than 10 books. He has received numerous honors and awards, including in 2018 Jorgensen being the NSF/CBMS speaker, giving 10 lectures; titled Harmonic Analysis: Smooth and Non-smooth, published as vol. 128, in the AMS/CBMS book series. He is a frequent invited speaker, giving colloquium and conference presentations at universities in the US, and around the World.

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This book, combining analysis and tools from mathematical probability, focuses on a systematic and novel presentation of recent trends in pure and applied mathematics: the emergence of three fields, wavelets, signals and fractals. The unity of basis constructions and their expansions is emphasized as the starting point for the development of bases that are computationally efficient for use in several areas from wavelets to fractals.

The book brings together tools from engineering and math, especially from signal- and image processing, and from harmonic analysis and operator theory. The presentation is aimed at graduate students, as well as users from a diverse spectrum of applications.

Key features:

 • A hands-on approach for students, including tutorials and numerous exercises;

 • Excellent motivation throughout;

 • New pedagogical features: glossary of terms, their use in mathematics and in engineering, help forcross-audiences, image processing, visual presentation of key algorithms, structure and geometry of big matrix computations, explanation of uses of the theory in applications outside of mathematics;

 • Includes more than 50 figures with captions, illustrating the main ideas, plus engineering diagrams, graphic renditions of algorithms, and separate illustrations;

 • Separate sections in the book explain engineering terms to mathematicians, and operator theory to engineers;

 • Each chapter concludes with a helpful guide to the literature allowing students to follow up on the topics in the book.

Palle E.T. Jorgensen is a Professor of Mathematics at the University of Iowa. This book is based in part on interdisciplinary courses that he has taught over the last several years, and on his work with his current and former students. His most recent book was written jointly with Ola Bratteli and is entitled Wavelets through a LookingGlass, ©2002 Birkhäuser Boston.

Details zur Ausgabe

• Verlag: Springer
• Erscheinungsdatum: 2010
• Sprache: Englisch
• ISBN 10: 1441921265
• ISBN 13: 9781441921260
• Einband: Taschenbuch
• Anzahl der Seiten: 332
• Kontakt zum Hersteller: GPSR Kontakt; ProductSafety@springernature.com; ; Tiergartenstr. 17; Heidelberg; 69121; Deutschland