000			02935pam a22003494a 4500
001			0000041317
003			0001
008			030807s2004 flu b 001 0 eng
020			_a158488407X
020			_a158488407
040			_aDLC _cDLC _dCIN
042			_apcc
082	0	0	_a514.24 _222
084			_a514.24 _bLIA-B
100	1		_aLiao, Shijun.
245	1	0	_aBeyond perturbation : _h[Book] : _bintroduction to homotopy analysis method / _cShijun Liao.
260			_aBoca Raton : _bChapman & Hall/CRC, _cc2004.
300			_axii, 322 pages : _c25 cm.
365			_a01 _b0.00
440		0	_aCRC series--modern mechanics and mathematics ;
500			_aphotocopy Hbk
520			_aSolving nonlinear problems is inherently difficult, and the stronger the nonlinearity, the more intractable solutions become. Analytic approximations often break down as nonlinearity becomes strong, and even perturbation approximations are valid only for problems with weak nonlinearity. This book introduces a powerful new analytic method for nonlinear problems-homotopy analysis-that remains valid even with strong nonlinearity. In Part I, the author starts with a very simple example, then presents the basic ideas, detailed procedures, and the advantages (and limitations) of homotopy analysis. Part II illustrates the application of homotopy analysis to many interesting nonlinear problems. These range from simple bifurcations of a nonlinear boundary-value problem to the Thomas-Fermi atom model, Volterra's population model, Von Kr̀mǹ swirling viscous flow, and nonlinear progressive waves in deep water. Although the homotopy analysis method has been verified in a number of prestigious journals, it has yet to be fully detailed in book form. Written by a pioneer in its development, Beyond Pertubation: Introduction to the Homotopy Analysis Method is your first opportunity to explore the details of this valuable new approach, add it to your analytic toolbox, and perhaps make contributions to some of the questions that remain open.
521			_aAll.
650		0	_aHomotopy theory.
650		0	_aMathematical analysis.
852			_p9351 _90.00 _h514 .24 LIA-B _bReference _dReference _t1 _q1-New _aJZL-CUI
852			_p9354 _90.00 _h514.24 LIA-B _bGround Floor _dBooks _t3 _q2-Good _aJZL-CUI
852			_p9353 _90.00 _h514.24 LIA-B _bGround Floor _dBooks _t4 _q2-Good _aJZL-CUI
852			_p55921 _90.00 _h514.24 LIA-B _vGift and Donations _bGround Floor _dBooks _t5 _q2-Good _aJZL-CUI
852			_p12860 _93026.89 _h514 .24 LIA-B _vSaeed Book Bank _bGround Floor _dBooks _t2 _q2-Good _aJZL-CUI
852			_p10001000009352 _90.00 _h514.24 LIA-B _bGround Floor _dBooks _t6 _q1-New _aJZL-CUI
999			_c180404 _d180404