02825cam a22003978i 4500 21520827 OSt 20230925112800.0 m |o d | cr ||||||||||| 200426s2020 enk ob 001 0 eng 2020001144 9781108839808 (hardback) DLC eng DLC rda pcc QA374 515.353 NAN/P Nandakumaran, A. K. author. 9596 Partial differential equations : classical theory with a modern touch / A.K. Nandakumaran, P.S. Datti. 2004 Cambridge, United Kingdom ; New York, NY : Cambridge University Press, 2020. 356 p text txt rdacontent computer c rdamedia online resource cr rdacarrier Includes bibliographical references and index. First-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. "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"-- Provided by publisher. Description based on print version record and CIP data provided by publisher; resource not viewed. Differential equations, Partial Textbooks. Datti, P. S., author. Print version: Nandakumaran, A. K.. Partial differential equations Cambridge, United Kingdom ; New York, NY : Cambridge University Press, 2020. 9781108839808 (DLC) 2020001143 7 cbc orignew 1 ecip 20 y-gencatlg ddc BK 515.353 NAN/P 515.353 NAN/P 0 0 ddc 0 0 MATHEMATICS MES MES MAT 2023-09-25 0 515.353 NAN/P 42588 2023-09-25 11:28:29 795.00 2023-09-25 BK GL24R4 42296 42296