000			01750nam a22001817a 4500
008			220817b2020 |||||||| |||| 00| 0 eng d
020			_a9780000988355
082			_a515.35 BUC-J
100			_aBuchanan, J. Robert
245			_aFirst course in partial differential equations / _cJ. Robert Buchanan and Zhoude Shao
260			_aNew Jersey _bWorld Scientific _c2020
300			_a606p.
365			_aINR _b1395.00
500			_aThis textbook gives an introduction to partial differential equations (PDEs), for any reader wishing to learn and understand the basic concepts, theory, and solution techniques of elementary PDEs. The only prerequisite is an undergraduate course in ordinary differential equations. This work contains a comprehensive treatment of the standard Second-Order linear PDEs, the heat equation, wave equation, and Laplace equation. First order and some common nonlinear PDEs arising in the physical and life Sciences, with their solutions, are also covered. This textbook includes an introduction to Fourier series and their properties, an introduction to regular sturm–liouville boundary value problems, special functions of mathematical Physics, a treatment of nonhomogeneous equations and boundary conditions using methods such as duhamel’s principle, and an introduction to the finite difference technique for the Numerical approximation of solutions. All results have been rigorously justified or precise references to justifications in more advanced sources have been cited. Appendices providing a background in complex analysis and linear algebra are also included for readers with limited prior exposure to those subjects.
650			_aDifferential euqations
650			_aMathematics
700			_aSaho, Zhoude
999			_c80026 _d80026