000 02037 a2200301 4500
003 OSt
005 20250213164419.0
008 250123b |||||||| |||| 00| 0 eng d
020 _a9781108839808 (hbk.)
_c₹ 1095.00
040 _bENG
_cIISER-BPR
041 _aENG
082 _a515.353
_bNAN
_223rd
100 _aNandakumaran, A. K.
_91086
222 _aMathematics
245 _aPartial differential equations :
_bClassical theory with a modern touch
250 _a1st ed.
260 _aCambridge:
_bCambridge University Press,
_cc2020.
300 _axix, 356p. :
_bill(col.). ;
_c24cm
440 _aCambridge-IISc Series
_92482
504 _aIncludes illustrations, bibliographic references and subject index.
520 _aSuitable for both senior undergraduate and graduate students, this is a self-contained book dealing with the classical theory of the partial differential equations through a modern approach; requiring minimal previous knowledge. It represents the solutions to three important equations of mathematical physics – Laplace and Poisson equations, Heat or diffusion equation, and wave equations in one and more space dimensions. Keen readers will benefit from more advanced topics and many references cited at the end of each chapter. In addition, the book covers advanced topics such as Conservation Laws and Hamilton-Jacobi Equation. Numerous real-life applications are interspersed throughout the book to retain readers' interest. - Highlights the importance of studying the equations outside the realm of classical solutions - Separate chapters on advanced topics such as the Hamilton-Jacobi equation and conservation laws - Explains the interplay between geometry and analysis in the existence and uniqueness of solutions in the treatment of first order equations.
650 _aMathematics
_92483
650 _aAnalysis
_92484
650 _aDifferential calculus and equations
_92485
650 _aPartial differential equations
_92486
700 _aDatti, P. S.
_92487
942 _2ddc
_cBK
999 _c4226
_d4226