{"product_id":"9781461343943","title":"Operational Calculus","description":"\u003ch1\u003eOperational Calculus\u003c\/h1\u003e \u003ch2\u003eKrabbe, Gregors\u003c\/h2\u003e \u003cp\u003eSince the publication of an article by G. DoETSCH in 1927 it has been known that the Laplace transform procedure is a reliable sub­ stitute for HEAVISIDE's operational calculus*. However, the Laplace transform procedure is unsatisfactory from several viewpoints (some of these will be mentioned in this preface); the most obvious defect: the procedure cannot be applied to functions of rapid growth (such as the 2 function tr-+-exp(t)). In 1949 JAN MIKUSINSKI indicated how the un­ necessary restrictions required by the Laplace transform can be avoided by a direct approach, thereby gaining in notational as well as conceptual simplicity; this approach is carefully described in MIKUSINSKI's textbook \"Operational Calculus\" [M 1]. The aims of the present book are the same as MIKUSINSKI's [M 1]: a direct approach requiring no un-necessary restrictions. The present operational calculus is essentially equivalent to the \"calcul symbolique\" of distributions having left-bounded support (see 6.52 below and pp. 171 to 180 of the textbook \"Theorie des distributions\" by LAURENT SCHWARTZ).\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2013-12-06\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9781461343943\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-1-4613-4392-9\u003c\/p\u003e \u003cp\u003eDimensions: 229cm x152cm\u003c\/p\u003e \u003cp\u003ePages: 349\u003c\/p\u003e ","brand":"Springer US","offers":[{"title":"Default Title","offer_id":46546434392204,"sku":"9781461343943","price":49.49,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9781461343943.jpg?v=1775792575","url":"https:\/\/lateknightbooks.com\/products\/9781461343943","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}