000			01687nam a2200253Ia 4500
001			35924
003			IN-BdCUP
005			20230421154825.0
008			230413s2023 000 0 eng
020			_a486450015
040			_beng _cIN-BdCUP
041			_aeng
082			_a515 _bOLD
100			_aOldham, Keith B.
245		4	_aThe fractional calculus : _bTheory and applications of differentiation and integration to arbitrary order / _cOldham, Keith B. & Spanier, Jerome
260			_aNew york : _bDover publications inc,, _c2006.
300			_a234 p. ; _c20 cm.
520			_aThe product of a collaboration between a mathematician and a chemist, this text is geared toward advanced undergraduates and graduate students. Not only does it explain the theory underlying the properties of the generalized operator, but it also illustrates the wide variety of fields to which these ideas may be applied. Rather than an exhaustive treatment, it represents an introduction that will appeal to a broad spectrum of students. Accordingly, the mathematics is kept as simple as possible. The first of the two-part treatment deals principally with the general properties of differintegral operators. The second half is mainly oriented toward the applications of these properties to mathematical and other problems. Topics include integer order, simple and complex functions, semiderivatives and semi-integrals, and transcendental functions. The text concludes with overviews of applications in the classical calculus and diffusion problems.
650			_aMathematics
650			_aThe fractional calculus
700			_aJerome Spanier
700			_aSpanier, Jerome
942			_2ddc _cBK
999			_c27820 _d27820