000			02098cam a22002658i 4500
001			10933
003			IN-BhIIT
005			20240926200921.0
008			200426s2020 enk b 001 0 eng
020			_a9781108839808
040			_aIN-BhIIT
041			_aeng
082	0	0	_a515.353 _bNAN/P
100	1		_aNandakumaran, A. K., _eAuthor. _923668
245	1	0	_aPartial differential equations : _bclassical theory with a modern touch / _cby A.K. Nandakumaran, P.S. Datti.
260			_aNew York : _bCambridge University Press, _c2020.
300			_axix, 356 p. : _bill. ; _c24 cm.
490			_aCambridge- IISc series
504			_aIncludes bibliographical references and index.
505	0		_aFirst-order partial differential equations : method of characteristics -- Hamilton-Jacobi equation -- Conservation laws -- Classification of second-order equations -- Laplace and Poisson equations -- Heat equation -- One-dimensional wave equation -- Wave equation in higher dimensions -- Cauchy-Kovalevsky theorem and its generalization -- A peep into weak derivatives, Sobolev spaces and weak formulation.
520			_a"The aim of the present book is to introduce the fundamental topics in a classical way as in any first book on PDE. The authors have demonstrated the basic topics in such a way that the doors of the modern theory are open to interested readers. For example, after the introduction to method of characteristics for first order equations, immediately the importance of introducing the notion of weak solutions to two important class of first order equations, namely conservation laws and Hamilton-Jacobi equations, is discussed. Almost all the chapters cover something about the modern topics. This is the modern touch that the authors have envisaged and decided to put in the title. Also included are many exercises in most of the chapters. These will help students to get a better insight of the subject. Hints or answers are provided to some selected exercises"--
650		0	_aDifferential equations, Partial. _9485
700	1		_aDatti, P. S., _eAuthor. _923669
942			_cTRB _01
999			_c13972 _d13972