000			03901 am a2200361 i 4500
001			13792334
005			20250219195715.0
008			950110s1986 nyua b 00110 eng
010			_a86-13604
020			_a0486652513 _q(paperback)k. :
035			_a(OCoLC)
040			_aDLC _beng _cDLC _dm/c _dBAUN _erda
041	0		_aeng
049			_aBAUN_MERKEZ
050	1		_aQA377 _b.Z32 1986
082	0		_219
100	1		_aZachmanoglou, E. C. _984978 _eaut
245	1	0	_aIntroduction to partial differential equations with applications / _cE.C. Zachmanoglou, Dale W. Thoe.
264		1	_aNew York : _bDover Publications, _c1986.
300			_ax, 405 pages : _billustrations ; _c22 cm.
336			_2rdacontent _atext _btxt
337			_2rdamedia _aunmediated _bn
338			_2rdacarrier _avolume _bnc
490	1		_aDover books on advanced mathematics.
500			_aOriginally published: Baltimore : Williams and Wilkins, c1976.
500			_aIncludes index.
504			_aBibliography: pages 395-396.
505	0	0	_tChapter 0. _tPreliminaries _tIntroduction _t2 Complex numbers _t3 Functions _t4 Polynomials _t5. Complex series and the exponential function _t6. Determinants _t7. Remarks on methods of discovery and proof _tChapter 1. _tIntroduction— _tLinear Equations of the First Order _t1. Introduction _t2. Differential equations _t3. Problems associated with differential equations _t4. Linear equations of the first order _t5. The equation y'+ay=0 _t6. The equation y'+ay=b(x) _t7. The general linear equation of the first order _tChapter 2. Linear Equations with Constant Coefficients _t1. Introduction _t2. The second order homogeneous equation _t3. Initial value problems for second order equations _t4. Linear dependence and independence _t5. A formula for the Wronskian _t6. The non-homogeneous equation of order two _t7. The homogeneous equation of order n _t8. Initial value problems for n-th order equations _t9. Equations with real constants _t10. The non-homogeneous equation of order n _t11. A special method for solving the non-homogeneous equation _t12. Algebra of constant coefficient operators _tChapter 3. Linear Equations with Variable Coefficients _t1. Introduction _t2. Initial value problems for the homogeneous equation _t3. Solutions of the homogeneous equation _t4. The Wronskian and linear independence _t5. Reduction of the order of a homogeneous equation _t6. The non-homogeneous equation _t7. Homogeneous equations with analytic coefficients _t8. The Legendre equation _t9. Justification of the power series method _tChapter 4. Linear Equations with Regular Singular Points _t1.Introduction _t2. The Euler equation _t3. Second order equations with regular singular points--an example _t4. Second order equations with regular singular points--the general case _t5. A convergence proof _t6. The exceptional cases _t7. The Bessel equation _t8. The Bessel equation (continued) _t9. Regular singular points at infinity _tChapter 5. Existence and Uniqueness of Solutions to First Order Equations _t1. Introduction _t2. Equations with variables separated _t3. Exact equations _t4. The method of successive approximations _t5. The Lipschitz condition _t6. Convergence of the successive approximations _t7. Non-local existence of solutions _t8. Approximations to, and uniqueness of, solutions _t9. Equations with complex-valued functions _tChapter 6. Existence and Uniqueness of Solutions to Systems and n-th Order Equations _t1. Introduction _t2. An example--central forces and planetary motion _t3. Some special equations _t4. Complex n-dimensional space _t5. Systems as vector equations _t6. Existence and uniqueness of solutions to systems _t7. Existence and uniqueness for linear systems _t8. Equations of order _tReferences _tAnswers to Exercises _tIndex
650		0	_aDifferential equations, Partial.
700	1		_aThoe, Dale W. _984980 _eaut
830		0	_984981 _aDover books on advanced mathematics.
942			_2lcc _cKT
999			_c3181 _d3181