000697594 000__ 03052cam\a2200457Ki\4500 000697594 001__ 697594 000697594 005__ 20230306135746.0 000697594 006__ m\\\\\o\\d\\\\\\\\ 000697594 007__ cr\cnu|||unuuu 000697594 008__ 140415s2014\\\\enka\\\\ob\\\\001\0\eng\d 000697594 020__ $$a9781447163954 $$qelectronic book 000697594 020__ $$a1447163958 $$qelectronic book 000697594 020__ $$z9781447163947 000697594 0247_ $$a10.1007/978-1-4471-6395-4$$2doi 000697594 035__ $$aSP(OCoLC)ocn876738439 000697594 035__ $$aSP(OCoLC)876738439 000697594 040__ $$aGW5XE$$beng$$erda$$epn$$cGW5XE$$dYDXCP$$dCOO 000697594 049__ $$aISEA 000697594 050_4 $$aQA432 000697594 08204 $$a515/.723$$223 000697594 1001_ $$aDyke, P. P. G.,$$eauthor. 000697594 24513 $$aAn introduction to Laplace transforms and Fourier series$$h[electronic resource] /$$cPhil Dyke. 000697594 250__ $$aSecond edition. 000697594 264_1 $$aLondon :$$bSpringer,$$c2014. 000697594 300__ $$a1 online resource (xv, 318 pages) :$$billustrations (some color). 000697594 336__ $$atext$$btxt$$2rdacontent 000697594 337__ $$acomputer$$bc$$2rdamedia 000697594 338__ $$aonline resource$$bcr$$2rdacarrier 000697594 4901_ $$aSpringer Undergraduate Mathematics Series,$$x1615-2085 000697594 504__ $$aIncludes bibliographical references and index. 000697594 5050_ $$aThe Laplace Transform -- Further Properties of the Laplace Transform -- Convolution and the Solution of Ordinary Differential Equations -- Fourier Series -- Partial Differential Equations -- Fourier Transforms -- Wavelets and Signal Processing -- Complex Variables and Laplace Transforms. 000697594 506__ $$aAccess limited to authorized users. 000697594 520__ $$aLaplace transforms continue to be a very important tool for the engineer, physicist and applied mathematician. They are also now useful to financial, economic and biological modellers as these disciplines become more quantitative. Any problem that has underlying linearity and with solution based on initial values can be expressed as an appropriate differential equation and hence be solved using Laplace transforms. In this book, there is a strong emphasis on application with the necessary mathematical grounding. There are plenty of worked examples with all solutions provided. This enlarged new edition includes generalised Fourier series and a completely new chapter on wavelets. Only knowledge of elementary trigonometry and calculus are required as prerequisites. An Introduction to Laplace Transforms and Fourier Series will be useful for second and third year undergraduate students in engineering, physics or mathematics, as well as for graduates in any discipline such as financial mathematics, econometrics and biological modelling requiring techniques for solving initial value problems. 000697594 588__ $$aDescription based on online resource; title from PDF title page (SpringerLink, viewed March 31, 2014). 000697594 650_0 $$aLaplace transformation. 000697594 650_0 $$aFourier series. 000697594 830_0 $$aSpringer undergraduate mathematics series,$$x1615-2085 000697594 852__ $$bebk 000697594 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://dx.doi.org/10.1007/978-1-4471-6395-4$$zOnline Access 000697594 909CO $$ooai:library.usi.edu:697594$$pGLOBAL_SET 000697594 980__ $$aEBOOK 000697594 980__ $$aBIB 000697594 982__ $$aEbook 000697594 983__ $$aOnline 000697594 994__ $$a92$$bISE