000			03018nam a2200349 i 4500
001			CR9780511777530
003			UkCbUP
005			20240730160741.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			100519s2011||||enk o ||1 0|eng|d
020			_a9780511777530 (ebook)
020			_z9780521515320 (hardback)
020			_z9780521735872 (paperback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQA36 _b.P76 2011
082	0	0	_a510 _222
100	1		_aProsperetti, Andrea, _eauthor. _974407
245	1	0	_aAdvanced mathematics for applications / _cAndrea Prosperetti.
264		1	_aCambridge : _bCambridge University Press, _c2011.
300			_a1 online resource (xviii, 724 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	8		_aPart 0. General remarks and basic concepts: 1. The classical field equations -- 2. Some simple preliminaries -- Part I. Applications: 3. Fourier series : applications; 4. Fourier transform : applications -- 5. Laplace transform : applications -- 6. Cylindrical systems -- 7. Spherical systems -- Part II. Essential tools: 8. Sequences and series -- 9. Fourier series : theory -- 10. The Fourier and Hankel transforms -- 11. The Laplace transform -- 12. The Bessel equation -- 13. The Legendre equation -- 14. Spherical harmonics -- 15. Green's functions : ordinary differential equations -- 16. Green's functions : partial differential equations -- 17. Analytic functions -- 18. Matrices and finite-dimensional linear spaces -- Part III. Some advanced tools: 19. Infinite-dimensional spaces -- 20. Theory of distributions -- 21. Linear operators in infinite-dimensional spaces.
520			_aThe partial differential equations that govern scalar and vector fields are the very language used to model a variety of phenomena in solid mechanics, fluid flow, acoustics, heat transfer, electromagnetism and many others. A knowledge of the main equations and of the methods for analyzing them is therefore essential to every working physical scientist and engineer. Andrea Prosperetti draws on many years' research experience to produce a guide to a wide variety of methods, ranging from classical Fourier-type series through to the theory of distributions and basic functional analysis. Theorems are stated precisely and their meaning explained, though proofs are mostly only sketched, with comments and examples being given more prominence. The book structure does not require sequential reading: each chapter is self-contained and users can fashion their own path through the material. Topics are first introduced in the context of applications, and later complemented by a more thorough presentation.
650		0	_aMathematics. _911584
776	0	8	_iPrint version: _z9780521515320
856	4	0	_uhttps://doi.org/10.1017/CBO9780511777530
942			_cEBK
999			_c84117 _d84117