{"product_id":"approximation-theory-from-taylor-polynomials-to-wavelets-paperback","title":"Approximation Theory: From Taylor Polynomials to Wavelets - Paperback","description":"\u003cp\u003eby \u003cb\u003eOle Christensen\u003c\/b\u003e (Author), \u003cb\u003eKhadija Laghrida Christensen\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eThis 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. Included are classical, illustrative examples and constructions, exercises, and a discussion of the role of wavelets to areas such as digital signal processing and data compression.\u003c\/p\u003e \u003cp\u003e\u003c\/p\u003e \u003cp\u003eOne of the few books to describe wavelets in words rather than mathematical symbols, the work will be an excellent textbook or self-study reference for advanced undergraduate\/beginning graduate 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.\u003c\/p\u003e\u003ch3\u003eBack Jacket\u003c\/h3\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eThis 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. \u003c\/p\u003e \u003cp\u003e\u003c\/p\u003e \u003cp\u003eKey features and topics: \u003c\/p\u003e \u003cp\u003e\u003c\/p\u003e \u003cp\u003e* Description of wavelets in words rather than mathematical symbols\u003c\/p\u003e \u003cp\u003e* Elementary introduction to approximation using polynomials (Weierstrass' and Taylor's theorems)\u003c\/p\u003e \u003cp\u003e* Introduction to infinite series, with emphasis on approximation-theoretic aspects\u003c\/p\u003e \u003cp\u003e* Introduction to Fourier analysis\u003c\/p\u003e \u003cp\u003e* Numerous classical, illustrative examples and constructions\u003c\/p\u003e \u003cp\u003e* Discussion of the role of wavelets in digital signal processing and data compression, such as the FBI's use of wavelets to store fingerprints\u003c\/p\u003e \u003cp\u003e* Minimal prerequisites: elementary calculus\u003c\/p\u003e \u003cp\u003e* Exercises that may be used in undergraduate and graduate courses on infinite series and Fourier series\u003c\/p\u003e \u003cp\u003e\u003c\/p\u003e \u003cp\u003e\u003cem\u003eApproximation Theory: From Taylor Polynomials to Wavelets\u003c\/em\u003e 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.\u003c\/p\u003e\u003ch3\u003eAuthor Biography\u003c\/h3\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eOle Christensen is the author of \u003cem\u003eAn Introduction to Frames and Riesz Bases \u003c\/em\u003e(0-8176-4295-1).\u003c\/p\u003e\u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 156\u003c\/div\u003e\u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.43 x 9.14 x 6.26 IN\u003c\/div\u003e\u003cdiv\u003e\n\u003cstrong\u003eIllustrated:\u003c\/strong\u003e Yes\u003c\/div\u003e\u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e March 18, 2004\u003c\/div\u003e","brand":"Books by splitShops","offers":[{"title":"Default Title","offer_id":42722484846655,"sku":"9780817636005","price":126.34,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0105\/8226\/1823\/files\/a3d9a1a34e85df0c9ce10bb84e116452.webp?v=1765095914","url":"https:\/\/dhlswag.com\/products\/approximation-theory-from-taylor-polynomials-to-wavelets-paperback","provider":"BBB","version":"1.0","type":"link"}