{"product_id":"functions-spaces-and-expansions-mathematical-tools-in-physics-and-engineering-hardcover-1","title":"Functions, Spaces, and Expansions: Mathematical Tools in Physics and Engineering - Hardcover","description":"\u003cdiv\u003e\u003cp style=\"text-align: right;\"\u003e\u003ca href=\"https:\/\/reportcopyrightinfringement.com\/\" target=\"_blank\" rel=\"nofollow\"\u003e\u003cb\u003eReport copyright infringement\u003c\/b\u003e\u003c\/a\u003e\u003c\/p\u003e\u003c\/div\u003e\u003cp\u003eby \u003cb\u003eOle Christensen\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eThis graduate-level textbook is a detailed exposition of key mathematical tools in analysis aimed at students, researchers, and practitioners across science and engineering. Every topic covered has been specifically chosen because it plays a key role outside the field of pure mathematics. Although the treatment of each topic is mathematical in nature, and concrete applications are not delineated, the principles and tools presented are fundamental to exploring the computational aspects of physics and engineering. \u003c\/p\u003e \u003cp\u003eReaders are expected to have a solid understanding of linear algebra, in R\u003csup\u003en\u003c\/sup\u003e and in general vector spaces. Familiarity with the basic concepts of calculus and real analysis, including Riemann integrals and infinite series of real or complex numbers, is also required.\u003c\/p\u003e\u003ch3\u003eBack Jacket\u003c\/h3\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eThis graduate-level textbook is a detailed exposition of key mathematical tools in analysis aimed at students, researchers, and practitioners across science and engineering. Every topic covered has been specifically chosen because it plays a key role outside the field of pure mathematics. Although the treatment of each topic is mathematical in nature, and concrete applications are not delineated, the principles and tools presented are fundamental to exploring the computational aspects of physics and engineering. A central theme of the book is the structure of various vector spaces--most importantly, Hilbert spaces--and expansions of elements in these spaces in terms of bases.\u003c\/p\u003e\u003cp\u003eKey topics and features include: \u003c\/p\u003e\u003cp\u003e* More than 150 exercises\u003c\/p\u003e\u003cp\u003e* Abstract and normed vector spaces\u003c\/p\u003e\u003cp\u003e* Approximation in normed vector spaces\u003c\/p\u003e\u003cp\u003e* Hilbert and Banach spaces\u003c\/p\u003e\u003cp\u003e* General bases and orthonormal bases\u003c\/p\u003e\u003cp\u003e* Linear operators on various normed spaces\u003c\/p\u003e\u003cp\u003e* The Fourier transform, including the discrete Fourier transform\u003c\/p\u003e\u003cp\u003e* Wavelets and multiresolution analysis\u003c\/p\u003e\u003cp\u003e* B-splines\u003c\/p\u003e\u003cp\u003e* Sturm-Liouville problems\u003c\/p\u003e\u003cp\u003eAs a textbook that provides a deep understanding of central issues in mathematical analysis, \u003ci\u003eFunctions, Spaces, and Expansions\u003c\/i\u003e is intended for graduate students, researchers, and practitioners in applied mathematics, physics, and engineering. Readers are expected to have a solid understanding of linear algebra, in R\u003csup\u003en\u003c\/sup\u003e and in general vector spaces. Familiarity with the basic concepts of calculus and real analysis, including Riemann integrals and infinite series of real or complex numbers, is also required.\u003c\/p\u003e\u003cp\u003e\u003ci\u003eFunctions, Spaces, and Expansions\u003c\/i\u003e is the main textbook for the e-course Mathematics 4: Real Analysis currently being taught at the Technical University of Denmark. Please click the \"Course Materials\" link on the right to access videos of the lectures, problem sheets, and solutions to selected exercises.\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 266\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.69 x 9.21 x 6.14 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eIllustrated:\u003c\/strong\u003e Yes\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e June 15, 2010\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":52491635982643,"sku":"9780817649791","price":167.38,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0300\/5595\/6612\/files\/R3ZmN09RQVRRTnI1SzhwbjVSWjZKUT09_1041ba6b-d6c8-4567-b9a0-7682ff1debb9.webp?v=1759921157","url":"https:\/\/www.vysn.com\/en-ca\/products\/functions-spaces-and-expansions-mathematical-tools-in-physics-and-engineering-hardcover-1","provider":"VYSN","version":"1.0","type":"link"}