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001 9781003051329
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040 _aOCoLC-P
_beng
_erda
_epn
_cOCoLC-P
020 _a9781003051329
_q(electronic bk.)
020 _a1003051324
_q(electronic bk.)
020 _z9781032807232
020 _a9781040092965
_q(electronic bk. : EPUB)
020 _a1040092969
_q(electronic bk. : EPUB)
020 _a9781040092934
_q(electronic bk. : PDF)
020 _a1040092934
_q(electronic bk. : PDF)
020 _z9780367507992
024 7 _a10.1201/9781003051329
_2doi
035 _a(OCoLC)1450930227
035 _a(OCoLC-P)1450930227
050 4 _aQA377
072 7 _aMAT
_x027000
_2bisacsh
072 7 _aMAT
_x026000
_2bisacsh
072 7 _aSCI
_x000000
_2bisacsh
072 7 _aPB
_2bicssc
082 0 4 _a515/.35
_223/eng/20240816
100 1 _aPoli︠a︡nin, A. D.
_q(Andreĭ Dmitrievich),
_eauthor.
_1https://id.oclc.org/worldcat/entity/E39PBJcwGvKvqVJhVBptd9hGpP
245 1 0 _aHandbook of exact solutions to mathematical equations /
_cAndrei D. Polyanin.
250 _aFirst edition.
264 1 _aBoca Raton, FL :
_bCRC Press,
_c2025.
300 _a1 online resource (xviii, 641 pages).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 0 _aAdvances in applied mathematics
520 _a"This Handbook is a unique reference for scientists and engineers, containing over 3,800 nonlinear partial differential equations with solutions. The book concerns first-, second-, third-, fourth-, and higher-order nonlinear PDEs and systems of coupled PDEs. It discusses parabolic, hyperbolic, and elliptic equations as well as those of mixed and general type. All in all, the handbook contains many more nonlinear equations of mathematical physics and other nonlinear PDEs with their exact solutions, than any other book currently available. Apart from the exact solutions, it also provides various reductions and transformations leading to ordinary differential equations, linear PDEs, or simpler PDEs. A solution is called exact if, when substituted into the differential equation under consideration, it turns the equation into an identity. In this case, no approximations or simplifications of the equation are allowed, and no a priori assumptions are used. Exact solutions to nonlinear equations of mathematical physics are understood as follows: solutions expressed in terms of elementary functions, functions included in the equation (this is necessary when the equation depends on arbitrary functions), and indefinite integrals; solutions expressed in terms of solutions to ordinary differential equations or systems of such equations. Exact solutions of mathematical equations have always played and continue to play a massive role in forming a correct understanding of the qualitative features of many phenomena and processes in various fields of natural science. The book will be helpful for a wide range of researchers, university teachers, and graduate and postgraduate students specializing in the fields of applied and computational mathematics, mathematical and theoretical physics, continuum mechanics, control theory, biology, biophysics, biochemistry, medicine, chemical engineering sciences, and ecology"--
_cProvided by publisher.
588 _aOCLC-licensed vendor bibliographic record.
650 0 _aDifferential equations, Partial
_xNumerical solutions
_vHandbooks, manuals, etc.
650 0 _aDifferential equations, Nonlinear
_xNumerical solutions
_vHandbooks, manuals, etc.
650 7 _aMATHEMATICS / Research
_2bisacsh
650 7 _aMATHEMATICS / Reference
_2bisacsh
650 7 _aSCIENCE / General
_2bisacsh
856 4 0 _3Taylor & Francis
_uhttps://www.taylorfrancis.com/books/9781003051329
856 4 2 _3OCLC metadata license agreement
_uhttp://www.oclc.org/content/dam/oclc/forms/terms/vbrl-201703.pdf
942 _cE-BOOK
999 _c49605
_d49605