{"product_id":"9780792315070","title":"Mathematics and its Applications","description":"\u003ch1\u003eMathematics and its Applications\u003c\/h1\u003e \u003ch2\u003eImai, Isao\u003c\/h2\u003e \u003cp\u003eGeneralized functions are now widely recognized as important  mathematical tools for engineers and physicists. But they are  considered to be inaccessible for non-specialists. To remedy this  situation, this book gives an intelligible exposition of generalized  functions based on Sato's hyperfunction, which is essentially the  `boundary value of analytic functions'. An intuitive image --  hyperfunction = vortex layer -- is adopted, and only an elementary  knowledge of complex function theory is assumed. The treatment is  entirely self-contained. \u003cbr\u003e  The first part of the book gives a detailed account of fundamental  operations such as the four arithmetical operations applicable to  hyperfunctions, namely differentiation, integration, and convolution,  as well as Fourier transform. Fourier series are seen to be nothing  but periodic hyperfunctions. In the second part, based on the general  theory, the Hilbert transform and Poisson-Schwarz integral formula are  treated and their application to integral equations is studied. A  great number of formulas obtained in the course of treatment are  summarized as tables in the appendix. In particular, those concerning  convolution, the Hilbert transform and Fourier transform contain much  new material. \u003cbr\u003e  For mathematicians, mathematical physicists and engineers whose work  involves generalized functions. \u003cbr\u003e\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 1992-05-31\u003c\/p\u003e \u003cp\u003eFormat: Hardcover\u003c\/p\u003e \u003cp\u003eISBN-13: 9780792315070\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-94-011-2548-2\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 438\u003c\/p\u003e ","brand":"Springer Netherlands","offers":[{"title":"Default Title","offer_id":46541426819212,"sku":"9780792315070","price":116.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9780792315070.jpg?v=1775735577","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9780792315070","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}