000 02418cam a22003258i 4500
001 21520827
005 20240513165755.0
006 m |o d |
007 cr |||||||||||
008 200426s2020 enk ob 001 0 eng
010 _a 2020001144
020 _a9781108885171
020 _z9781108839808
040 _aDLC
_beng
_cDLC
_erda
042 _apcc
050 0 0 _aQA374
082 0 0 _a515.353 NAN-DAT
_223
100 1 _aNandakumaran, A. K.,
_eauthor.
_94724
245 1 0 _aPartial differential equations :
_bclassical theory with a modern touch /
_cA.K. Nandakumaran, P.S. Datti.
263 _a2004
300 _a1 online resource
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
_vTextbooks.
_94725
700 1 _aDatti, P. S.,
_eauthor.
_94726
776 0 8 _iPrint version:
_aNandakumaran, A. K..
_tPartial differential equations
_dCambridge, United Kingdom ; New York, NY : Cambridge University Press, 2020.
_z9781108839808
_w(DLC) 2020001143
906 _a7
_bcbc
_corignew
_d1
_eecip
_f20
_gy-gencatlg
955 _aecip ebook 2020-05-05
999 _c141539
_d141539