000 05075nam a2200505Ii 4500
001 606614910
003 OCoLC
005 20240123105620.0
006 m o d
007 cr bn||||auuua
008 100412s2007 maua sb 001 0 eng d
020 _a0817643931 (hd.bd.)
020 _a9780817643935 (hd.bd.)
035 _a(OCoLC)606614910
040 _aYNG
_beng
_erda
_cYNG
041 _aeng
050 _aQA377
_b.T96 2007
100 0 _aTyn Myint U.
_eaut
245 1 0 _aLinear partial differential equations for scientists and engineers /
_cTyn Myint-U, Lokenath Debnath.
250 _a4th ed
264 1 _aBoston :
_bBirkhäuser,
_cc2007
270 _dUS
300 _axxii, 778 pages :
_bill. ;
_c24 cm
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
340 _gmonochrome
_2rdacc
_0http://rdaregistry.info/termList/RDAColourContent/1002
500 _aOriginally published by North-Holland, 1987
504 _aIncludes bibliographical references (pages [761]-770) and index.
505 0 _aFirst-Order, Quasi-Linear Equations and Method of Characteristics -- Mathematical Models -- Classification of Second-Order Linear Equations -- The Cauchy Problem and Wave Equations -- Fourier Series and Integrals with Applications -- Method of Separation of Variables -- Eigenvalue Problems and Special Functions -- Boundary-Value Problems and Applications -- Higher-Dimensional Boundary-Value Problems -- Green's Functions and Boundary-Value Problems -- Integral Transform Methods with Applications -- Nonlinear Partial Differential Equations with Applications -- Numerical and Approximation Methods -- Tables of Integral Transforms
506 _aAvailable to OhioLINK libraries
520 _aOne of the most fundamental and active areas in mathematics, the theory of partial differential equations (PDEs) is essential in the modeling of natural phenomena. PDEs have a wide range of interesting and important applications in every branch of applied mathematics, physics, and engineering, including fluid dynamics, elasticity, and optics. This significantly expanded fourth edition is designed as an introduction to the theory and applications of linear PDEs. The authors provide fundamental concepts, underlying principles, a wide range of applications, and various methods of solutions to PDEs. In addition to essential standard material on the subject, the book contains new material that is not usually covered in similar texts and reference books, including conservation laws, the spherical wave equation, the cylindrical wave equation, higher-dimensional boundary-value problems, the finite element method, fractional partial differential equations, and nonlinear partial differential equations with applications. Key features include: * Applications to a wide variety of physical problems in numerous interdisciplinary areas * Over 900 worked examples and exercises dealing with problems in fluid mechanics, gas dynamics, optics, plasma physics, elasticity, biology, and chemistry * Historical comments on partial differential equations * Solutions and hints to selected exercises * A comprehensive bibliography--comprised of many standard texts and reference books, as well as a set of selected classic and recent papers--for readers interested in learning more about the modern treatment of the subject Linear Partial Differential Equations for Scientists and Engineers, Fourth Edition will primarily serve as a textbook for the first two courses in PDEs, or in a course on advanced engineering mathematics. The book may also be used as a reference for graduate students, researchers, and professionals in modern applied mathematics, mathematical physics, and engineering. Readers will gain a solid mathematical background in PDEs, sufficient to start interdisciplinary collaborative research in a variety of fields. Also by L. Debnath: Nonlinear Partial Differential Equations for Scientists and Engineers, Second Edition, ISBN 0-8176-4323-0
533 _aElectronic reproduction.
_bColumbus, OH :
_cOhioLINK,
_d2008.
_7s2008 ohun s
538 _aMode of access: World Wide Web
650 0 _aDifferential equations, Partial.
700 1 _aDebnath, Lokenath.
_eaut
710 2 _aOhio Library and Information Network.
_0http://id.loc.gov/authorities/names/no95058981
773 0 _tOhioLINK electronic book center
_w(OCoLC)180989150
773 0 _tSpringerLink
_w(OCoLC)43927870
776 0 8 _iPrint version:
_aTyn Myint U.
_tLinear partial differential equations for scientists and engineers.
_b4th ed.
_dBoston : Birkhäuser, ©2007
_z9780817643935
_z0817643931
_w(DLC) 2006935807
_w(OCoLC)75925404
856 4 0 _3OhioLINK
_uhttp://rave.ohiolink.edu/ebooks/ebc/9780817645601
_zConnect to resource
856 4 0 _3SpringerLink
_uhttp://dx.doi.org/10.1007/978-0-8176-4560-1
_zConnect to resource
856 4 0 _3SpringerLink
_uhttp://proxy.ohiolink.edu:9099/login?url=http://dx.doi.org/10.1007/978-0-8176-4560-1
_zConnect to resource (off-campus)
942 _2lcc
_cPRINT
999 _c323333
_d323333
970 _c83
_dRanda Abdallah