{"product_id":"a-first-course-on-wavelets-studies-in-advanced-mathematics","title":"A First Course on Wavelets (Studies in Advanced Mathematics)","description":"Wavelet theory had its origin in quantum field theory, signal analysis, and function space theory. In these areas wavelet-like algorithms replace the classical Fourier-type expansion of a function. This unique new book is an excellent introduction to the basic properties of wavelets, from background math to powerful applications. The authors provide elementary methods for constructing wavelets, and illustrate several new classes of wavelets.\n\nThe text begins with a description of local sine and cosine bases that have been shown to be very effective in applications. Very little mathematical background is needed to follow this material. A complete treatment of band-limited wavelets follows. These are characterized by some elementary equations, allowing the authors to introduce many new wavelets. Next, the idea of multiresolution analysis (MRA) is developed, and the authors include simplified presentations of previous studies, particularly for compactly supported wavelets.\n\nSome of the topics treated include: Several bases generated by a single function via translations and dilations\nMultiresolution analysis, compactly supported wavelets, and spline wavelets\nBand-limited wavelets\nUnconditionality of wavelet bases\nCharacterizations of many of the principal objects in the theory of wavelets, such as low-pass filters and scaling functions\n\nThe authors also present the basic philosophy that all orthonormal wavelets are completely characterized by two simple equations, and that most properties and constructions of wavelets can be developed using these two equations. Material related to applications is provided, and constructions of splines wavelets are presented.\n\nMathematicians, engineers, physicists, and anyone with a mathematical background will find this to be an important text for furthering their studies on wavelets.\u003cbr\u003eASIN: 0849382742\u003cbr\u003eVSKU: BVV.0849382742.G\u003cbr\u003eCondition: Good\u003cbr\u003eAuthor\/Artist:Hernandez, Eugenio|Weiss, Guido\u003cbr\u003eBinding: Hardcover\u003cbr\u003e\u003cb\u003eNote:\u003c\/b\u003e Any images shown are stock photographs and product may differ from what is shown.  \u003cbr\u003e\u003cb\u003eCondition Notes\u003c\/b\u003e: The item shows wear from consistent use, but it remains in good condition and works perfectly. All pages and cover are intact  including the dust cover, if applicable . Spine may show signs of wear. Pages may include limited notes and highlighting. May NOT include discs, access code or other supplemental materials.  \u003cbr\u003e","brand":"Blue Vase Books","offers":[{"title":"Default Title","offer_id":43310518042685,"sku":"BVV.0849382742.G","price":14.44,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0589\/4225\/9261\/files\/0849382742-0.jpg?v=1782855152","url":"https:\/\/www.bluevasebooks.com\/products\/a-first-course-on-wavelets-studies-in-advanced-mathematics","provider":"Blue Vase Books","version":"1.0","type":"link"}