000 03063cam a2200337 i 4500
001 17667805
005 20160210112554.0
008 130321s2013 flua bp 001 0 eng
010 _a 2012050932
020 _a9781439898468 (hardback)
040 _aDLC
_beng
_cDLC
_erda
_dDLC
042 _apcc
050 0 0 _aQA371.35
_b.C66 2013
082 0 0 _a515.353028553 COL-M
_223
084 _aMAT003000
_aMAT007000
_2bisacsh
100 1 _aColeman, Matthew P.
245 1 3 _aAn introduction to partial differential equations with MATLAB /
_cMatthew P. Coleman.
250 _a2nd
260 _aIndia
_bCRC Press
_c2013
300 _axiv, 669 pages :
_billustrations ;
_c25 cm.
365 _aINR
_b995.00
490 0 _aChapman & Hall/CRC applied mathematics & nonlinear science
504 _aIncludes bibliographical references (pages 647-654) and index.
520 _a"Preface Many problems in the physical world can be modeled by partial differential equations, from applications as diverse as the flow of heat, the vibration of a ball, the propagation of sound waves, the diffusion of ink in a glass of water, electric and magnetic fields, the spread of algae along the ocean's surface, the fluctuation in the price of a stock option, and the quantum mechanical behavior of a hydrogen atom. However, as with any area of applied mathematics, the field of PDEs is interesting not only because of its applications, but because it has taken on a mathematical life of its own. The author has written this book with both ideas in mind, in the hope that the student will appreciate the usefulness of the subject and, at the same time, get a glimpse into the beauty of some of the underlying mathematics. This text is suitable for a two-semester introduction to partial differential equations and Fourier series for students who have had basic courses in multivariable calculus (through Stokes's and the Divergence Theorems) and ordinary differential equations. Over the years, the author has taught much of the material to undergraduate mathematics, physics and engineering students at Penn State and Fairfield Universities, as well as to engineering graduate students at Penn State and mathematics and engineering graduate students at Fairfield. It is assumed that the student has not had a course in real analysis. Thus, we treat pointwise convergence of Fourier series and do not talk about mean-square convergence until Chapter 8 (and, there, in terms of the Riemann, and not the Lebesgue, integral). Further, we feel that it is not appropriate to introduce so subtle an idea as uniform convergence in this setting, so we discuss it only in the Appendices"--
630 0 0 _aMATLAB.
650 0 _aDifferential equations, Partial
_xComputer-assisted instruction.
650 7 _aMATHEMATICS / Applied.
_2bisacsh
650 7 _aMATHEMATICS / Differential Equations.
_2bisacsh
906 _a7
_bcbc
_corignew
_d1
_eecip
_f20
_gy-gencatlg
955 _bxh07 2013-03-21
_ixh07 2013-03-21 ONIX to Dewey
_axn09 2013-07-17 1 copy rec'd., to CIP ver.
_arl02 2014-03-26 discard copy 3
999 _c22898
_d22898