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020 _a9781009610025 (pbk.)
040 _cLoC
082 _a515.353 P25
100 _aNandakumaran, A. K.,
_931
245 _aNotes, Problems and Solutions in Differential Equations /
_cby Nandakumaran, A.K.; Datti, P.S.
260 _aIndia;
_bCambridge University Press,
_c2025.
300 _a381 P.
500 _aThis book is designed for senior undergraduate and graduate students pursuing courses in mathematics, physics, engineering and biology. The text begins with a study of ordinary differential equations. The concepts of first- and second-order equations are covered initially. It moves further to linear systems, series solutions, regular Sturm–Liouville theory, boundary value problems and qualitative theory. Thereafter, partial differential equations are explored. Topics such as first-order partial differential equations, classification of partial differential equations and Laplace and Poisson equations are also discussed in detail. The book concludes with heat equation, one-dimensional wave equation and wave equation in higher dimensions. It highlights the importance of analysis, linear algebra and geometry in the study of differential equations. It provides sufficient theoretical material at the beginning of each chapter, which will enable students to better understand the concepts and begin solving problems straightaway.
942 _2ddc
_cBK
_n0
999 _c4703
_d4703