000			04435cam a22004094a 4500
001			20711
003			CUTN
005			20160509122008.0
008			100913s2011 enka b 001 0 eng
010			_a 2010039192
020			_a9780521515320 (hardback)
020			_a0521515327 (hardback)
020			_a9780521735872 (pbk.)
020			_a0521735874 (pbk.)
035			_a(OCoLC)ocn667990313
040			_aDLC _cDLC _dYDX _dCDX _dIXA _dSTF _dDLC
042			_apcc
050	0	0	_aQA36 _b.P76 2011
082	0	0	_a510 _222
084			_aMAT000000 _2bisacsh
100	1		_aProsperetti, Andrea.
245	1	0	_aAdvanced mathematics for applications / _cAndrea Prosperetti.
260			_aCambridge, UK ; _aNew York : _bCambridge University Press, _c2011.
300			_axviii, 724 p. : _bill. ; _c26 cm.
500			_aMachine generated contents note: Preface; To the reader; List of tables; Part I. General Remarks and Basic Concepts: 1. The classical field equations; 2. Some simple preliminaries; Part II. Applications: 3. Fourier series: applications; 4. Fourier transform: applications; 5. Laplace transform: applications; 6. Cylindrical systems; 7. Spherical systems; Part III. 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 IV. Some Advanced Tools: 19. Infinite-dimensional spaces; 20. Theory of distributions; 21. Linear operators in infinite-dimensional spaces; Appendix; References; Index.
504			_aIncludes bibliographical references and index.
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			_a"The 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 rominence. The book structure does not require sequential reading: each chapter is elf-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"--Provided by publisher.
650		0	_aMathematics.
856	4	2	_3Contributor biographical information _uhttp://catdir.loc.gov/catdir/enhancements/fy1101/2010039192-b.html
856	4	2	_3Publisher description _uhttp://catdir.loc.gov/catdir/enhancements/fy1101/2010039192-d.html
856	4	1	_3Table of contents only _uhttp://catdir.loc.gov/catdir/enhancements/fy1101/2010039192-t.html
856	4	2	_3Cover image _uhttp://assets.cambridge.org/97805215/15320/cover/9780521515320.jpg
906			_a7 _bcbc _corignew _d1 _eecip _f20 _gy-gencatlg
942			_2ddc _cBOOKS
999			_c16334 _d16334