000			03546nam a2200289 i 4500
008			150128s2010 flum b a001 0 eng
020			_a9781439811399 _qpbk. : alk. paper
020			_a1439811393 _qpbk. : alk. paper
040			_aDLC _cDLC _dYDX _dUKM _dYDXCP _dCDX _dBWX _dVP@ _dBGU _dBAUN _beng _erda
049			_aBAUN_MERKEZ
050	0	0	_aQA377 _b.C7629 2010
082	0	0	_222
100	1		_aConstanda, C. _q(Christian)
245	1	0	_aSolution techniques for elementary partial differential equations / _cChristian Constanda.
250			_aSecond edition
264		1	_aBoca Raton : _bChapman & Hall/CRC, _cc2010.
300			_axviii, 325 pages : _billustrations ; _c24 cm.
336			_atext _btxt _2rdacontent
337			_aunmediated _bn _2rdamedia
338			_avolume _bnc _2rdacarrier
490	1		_aChapman & Hall/CRC mathematics ; _v22.
504			_aIncludes bibliographical references and index.
505	0	0	_t-- Contents _t Foreword _t Preface to the Second Edition _t Preface to the First Edition _tChapter 1 Ordinary Differential Equations: Brief Review _t1.1 First-Order Equations _t1.2 Homogeneous Linear Equations with Constant Coefficients _t1.3 Nonhomogeneous Linear Equations with Constant Coefficients _t1.4 Cauchy-Euler Equations _t1.5 Functions and Operators _t Exercises _tChapter 2 Fourier Series _t2.1 The Full Fourier Series _t2.2 Fourier Sine Series _t2.3 Fourier Cosine Series _t2.4 Convergence and Differentiation _t Exercises _tChapter 3 Sturm---Liouville Problems _t3.1 Regular Sturm---Liouville Problems _t3.2 Other Problems _t3.3 Bessel Functions _t3.4 Legendre Polynomials _t3.5 Spherical Harmonics _t Exercises _tChapter 4 Some Fundamental Equations of Mathematical Physics _t4.1 The Heat Equation _t4.2 The Laplace Equation _t4.3 The Wave Equation _t4.4 Other Equations _t Exercises _tChapter 5 The Method of Separation of Variables _t5.1 The Heat Equation _t5.2 The Wave Equation _t5.3 The Laplace Equation _t5.4 Other Equations _t5.5 Equations with More than Two Variables _t Exercises _tChapter 6 Linear Nonhomogeneous Problems _t6.1 Equilibrium Solutions _t6.2 Nonhomogeneous Problems _t Exercises _tChapter 7 The Method of Eigenfunction Expansion _t7.1 The Heat Equation _t7.2 The Wave Equation _t7.3 The Laplace Equation _t7.4 Other Equations _t Exercises _tChapter 8 The Fourier Transformations _t8.1 The Full Fourier Transformation _t8.2 The Fourier Sine and Cosine Transformations _t8.3 Other Applications _t Exercises _tChapter 9 The Laplace Transformation _t9.1 Definition and Properties _t9.2 Applications _t Exercises _tChapter 10 The Method of Green's Functions _t10.1 The Heat Equation _t10.2 The Laplace Equation _t10.3 The Wave Equation _t Exercises _tChapter 11 General Second-Order Linear Partial Differential Equations with Two Independent Variables _t11.1 The Canonical Form _t11.2 Hyperbolic Equations _t11.3 Parabolic Equations _t11.4 Elliptic Equations _t Exercises _tChapter 12 The Method of Characteristics _t12.1 First-Order Linear Equations _t12.2 First-Order Quasilinear Equations _t12.3 The One-Dimensional Wave Equation _t12.4 Other Hyperbolic Equations _t Exercises _tChapter 13 Perturbation and Asymptotic Methods _t13.1 Asymptotic Series _t13.2 Regular Perturbation Problems _t13.3 Singular Perturbation Problems _t Exercises _tChapter 14 Complex Variable Methods _t14.1 Elliptic Equations _t14.2 Systems of Equations _t Exercises _t Answers to Odd-Numbered Exercises _t Appendix _t Bibliography _t Index
650		0	_aDifferential equations, Partial _xNumerical solutions.
830		0	_9110077 _aChapman & Hall/CRC mathematics ; _v22.
942			_2lcc _cKT
999			_c33503 _d33503