000			03396cam a22003495i 4500
001			41286
008			160208s2015 gw | |||| 0|eng d
020			_a9783319255620
020			_a9783319255606 _qprint
035			_a(OCoLC)
040			_dWaSeSS _dBAUN _aBAUN _beng _cBAUN _erda
049			_aBAUN_MERKEZ
050		4	_aQA372 _b.G66 2015
082	0	4	_223
100	1		_aGoodrich, Christopher.
245	1	0	_aDiscrete fractional calculus / _cby Christopher Goodrich, Allan C. Peterson.
250			_a1st ed. 2015.
264		1	_aCham : _bSpringer International Publishing : _bImprint: Springer, _c2015.
300			_axiii, 556 pages ; _c24 cm.
336			_2rdacontent _atext _btxt
337			_2rdamedia _aunmediated _bn
338			_2rdacarrier _avolume _bnc
505	0	0	_tPreface _t-- 1. Basic Difference Calculus _t-- 2. Discrete Delta Fractional Calculus and Laplace Transforms _t-- 3. Nabla Fractional Calculus _t-- 4. Quantum Calculus _t-- 5. Calculus on Mixed Time Scales _t-- 6. Fractional Boundary Value Problems _t-- 7. Nonlocal BVPs and the Discrete Fractional Calculus.-Solutions to Selected Problems _t-- Bibliography _t-- Index.
520			_aThis text provides the first comprehensive treatment of the discrete fractional calculus. Experienced researchers will find the text useful as a reference for discrete fractional calculus and topics of current interest. Students who are interested in learning about discrete fractional calculus will find this text to provide a useful starting point. Several exercises are offered at the end of each chapter and select answers have been provided at the end of the book. The presentation of the content is designed to give ample flexibility for potential use in a myriad of courses and for independent study. The novel approach taken by the authors includes a simultaneous treatment of the fractional- and integer-order difference calculus (on a variety of time scales, including both the usual forward and backwards difference operators). The reader will acquire a solid foundation in the classical topics of the discrete calculus while being introduced to exciting recent developments, bringing them to the frontiers of the subject.   Most chapters may be covered or omitted, depending upon the background of the student. For example, the text may be used as a primary reference in an introductory course for difference equations which also includes discrete fractional calculus. Chapters 1—2 provide a basic introduction to the delta calculus including fractional calculus on the set of integers.  For courses where students already have background in elementary real analysis, Chapters 1—2 may be covered quickly and readers may then skip to Chapters 6—7 which present some basic results in fractional boundary value problems (FBVPs). Chapters 6—7 in conjunction with some of the current literature listed in the Bibliography can provide a basis for a seminar in the current theory of FBVPs. For a two-semester course, Chapters 1—5 may be covered in depth, providing a very thorough introduction to both the discrete fractional calculus as well as the integer-order calculus.
650		0	_aMathematics.
650		0	_aDifference equations.
650		0	_aFunctional equations.
650		0	_aDifferential equations.
650		0	_aFunctions of real variables.
700	1		_aPeterson, Allan C.
942			_2lcc _cKT
999			_c38026 _d38026