000			03329nam a22003738i 4500
001			CR9780511810183
003			UkCbUP
005			20200124160300.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			101021s2010||||enk o ||1 0|eng|d
020			_a9780511810183 (ebook)
020			_z9780521199704 (hardback)
020			_z9780521136594 (paperback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQA374 _b.P58 2010
082	0	0	_a515/.353 _222
100	1		_aPivato, Marcus, _d1974- _eauthor.
245	1	0	_aLinear partial differential equations and Fourier theory / _cMarcus Pivato.
246	3		_aLinear Partial Differential Equations & Fourier Theory
264		1	_aCambridge : _bCambridge University Press, _c2010.
300			_a1 online resource (xxvii, 601 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505	0		_aSuggested 12-week syllabus -- Heat and diffusion -- Waves and signals -- Quantum mechanics -- Linear partial differential equations -- Classification of PDEs and problem types -- Some functional analysis -- Fourier sine series and cosine series -- Real Fourier series and complex Fourier series -- Multidimensional Fourier series -- Proofs of the Fourier convergence theorems -- Boundary value problems on a line segment -- Boundary value problems on a square -- Boundary value problems on a cube -- Boundary value problems in polar coordinates -- Eigenfunction methods on arbitrary domains -- Separation of variables --Impulse-response methods -- Applications of complex analysis -- Fourier transforms -- Fourier transform solutions to PDEs -- Appendix A: Sets and functions -- Appendix B: Derivatives--notation -- Appendix C: Complex numbers -- Appendix D: Coordinate systems and domains -- Appendix E: Vector calculus -- Appendix F: Differentiation of function series -- Appendix G: Differentiation of integrals -- Appendix H: Taylor polynomials.
520			_aDo you want a rigorous book that remembers where PDEs come from and what they look like? This highly visual introduction to linear PDEs and initial/boundary value problems connects the math to physical reality, all the time providing a rigorous mathematical foundation for all solution methods. Readers are gradually introduced to abstraction - the most powerful tool for solving problems - rather than simply drilled in the practice of imitating solutions to given examples. The book is therefore ideal for students in mathematics and physics who require a more theoretical treatment than given in most introductory texts. Also designed with lecturers in mind, the fully modular presentation is easily adapted to a course of one-hour lectures, and a suggested 12-week syllabus is included to aid planning. Downloadable files for the hundreds of figures, hundreds of challenging exercises, and practice problems that appear in the book are available online, as are solutions.
650		0	_aDifferential equations, Partial.
650		0	_aDifferential equations, Linear.
650		0	_aFourier transformations.
776	0	8	_iPrint version: _z9780521199704
856	4	0	_uhttps://doi.org/10.1017/CBO9780511810183
999			_c520322 _d520320