000 | 05075nam a2200505Ii 4500 | ||
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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 |
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041 | _aeng | ||
050 |
_aQA377 _b.T96 2007 |
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100 | 0 |
_aTyn Myint U. _eaut |
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245 | 1 | 0 |
_aLinear partial differential equations for scientists and engineers / _cTyn Myint-U, Lokenath Debnath. |
250 | _a4th ed | ||
264 | 1 |
_aBoston : _bBirkhäuser, _cc2007 |
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270 | _dUS | ||
300 |
_axxii, 778 pages : _bill. ; _c24 cm |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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340 |
_gmonochrome _2rdacc _0http://rdaregistry.info/termList/RDAColourContent/1002 |
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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 |
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538 | _aMode of access: World Wide Web | ||
650 | 0 | _aDifferential equations, Partial. | |
700 | 1 |
_aDebnath, Lokenath. _eaut |
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710 | 2 |
_aOhio Library and Information Network. _0http://id.loc.gov/authorities/names/no95058981 |
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773 | 0 |
_tOhioLINK electronic book center _w(OCoLC)180989150 |
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773 | 0 |
_tSpringerLink _w(OCoLC)43927870 |
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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) |
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_c83 _dRanda Abdallah |