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008 110208s2015||||enk o ||1 0|eng|d
020 _a9781139013543 (ebook)
020 _z9781107084964 (hardback)
020 _z9781107641600 (paperback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQA300
_b.S794 2015
082 0 0 _a515
_223
100 1 _aSnieder, Roel,
_d1958-
_eauthor.
245 1 2 _aA guided tour of mathematical methods for the physical sciences /
_cRoel Snieder, Colorado School of Mines, Kasper van Wijk, University of Auckland.
250 _aThird edition.
264 1 _aCambridge :
_bCambridge University Press,
_c2015.
300 _a1 online resource (xxi, 560 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 _aIntroduction -- Dimensional analysis -- Power series -- Spherical and cylindrical coordinates -- Gradient -- Divergence of a vector field -- Curl of a vector field -- Theorem of Gauss -- Theorem of Stokes -- The Laplacian -- Scale analysis -- Linear algebra -- Dirac delta function -- Fourier analysis -- Analytic functions -- Complex integration -- Green's functions: principles -- Green's functions: examples -- Normal modes -- Potential field theory -- Probability and statistics -- Inverse problems -- Perturbation theory -- Asymptotic evaluation of integrals -- Conservation laws -- Cartesian tensors -- Variational calculus -- Epilogue, on power and knowledge.
520 _aMathematical methods are essential tools for all physical scientists. This book provides a comprehensive tour of the mathematical knowledge and techniques that are needed by students across the physical sciences. In contrast to more traditional textbooks, all the material is presented in the form of exercises. Within these exercises, basic mathematical theory and its applications in the physical sciences are well integrated. In this way, the mathematical insights that readers acquire are driven by their physical-science insight. This third edition has been completely revised: new material has been added to most chapters, and two completely new chapters on probability and statistics and on inverse problems have been added. This guided tour of mathematical techniques is instructive, applied, and fun. This book is targeted for all students of the physical sciences. It can serve as a stand-alone text, or as a source of exercises and examples to complement other textbooks.
650 0 _aMathematical analysis.
_960397
650 0 _aPhysical sciences
_xMathematics.
650 0 _aMathematical physics.
700 1 _aVan Wijk, Kasper,
_eauthor.
776 0 8 _iPrint version:
_z9781107084964
856 4 0 _uhttps://doi.org/10.1017/CBO9781139013543
907 _a.b16844555
_b2020-12-22
_c2020-12-22
942 _n0
998 _a1
_b2020-12-22
_cm
_da
_feng
_genk
_y0
_z.b16844555
999 _c651798
_d651798