000 03545nam a22005895i 4500
001 978-3-031-26545-7
003 DE-He213
005 20240730164458.0
007 cr nn 008mamaa
008 230407s2023 sz | s |||| 0|eng d
020 _a9783031265457
_9978-3-031-26545-7
024 7 _a10.1007/978-3-031-26545-7
_2doi
050 4 _aQH505
050 4 _aQH508
072 7 _aPHVN
_2bicssc
072 7 _aSCI009000
_2bisacsh
072 7 _aPHVN
_2thema
082 0 4 _a571.4
_223
100 1 _aWang, C.Y.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_984672
245 1 0 _aEssential Perturbation Methods
_h[electronic resource] /
_cby C.Y. Wang.
250 _a1st ed. 2023.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2023.
300 _aXI, 150 p. 65 illus., 8 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSynthesis Lectures on Engineering, Science, and Technology,
_x2690-0327
505 0 _aNondimensionalization and scaling -- Asymptotic expansion -- Basic theory -- Eigenvalue problems -- Perturbation of integrals -- The phase plane -- Periodic and almost periodic solutions -- Singular perturbation and boundary layers -- Other singular problems -- Improving asymptotic series -- Examples in mechanics.
520 _aThis book presents the modeling and scaling of physical problems, which result in normalized perturbation equations. This is followed by solving perturbation problems and evaluating the results. The author refines perturbation methods into simple, understandable elements and avoids unnecessary theorems and proofs. In addition, the results are consolidated and interpreted, and the presented examples are succinct to illustrate the essential techniques. This book is ideal and beneficial for practicing scientists and engineers who need to understand and apply perturbation methods to difficult problems with applications in mathematics, engineering, and biology. Discussions on new perspectives, simpler presentations on convergence, and the expansion of integrals are included. In addition, this book: Refines perturbation methods into simple, understandable elements for practicing scientists and engineers; Models and scales physical problems resulting in normalized perturbation equations; Contains practical and necessary tools for using and applying perturbation methods.
650 0 _aBiophysics.
_94093
650 0 _aBiological control systems.
_984674
650 0 _aMathematics.
_911584
650 0 _aMathematical analysis.
_911486
650 0 _aEngineering mathematics.
_93254
650 0 _aMechanical engineering.
_95856
650 1 4 _aHomeostasis, Perturbations, and Biological Networks.
_984676
650 2 4 _aApplications of Mathematics.
_931558
650 2 4 _aAnalysis.
_931580
650 2 4 _aEngineering Mathematics.
_93254
650 2 4 _aMechanical Engineering.
_95856
710 2 _aSpringerLink (Online service)
_984679
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783031265440
776 0 8 _iPrinted edition:
_z9783031265464
776 0 8 _iPrinted edition:
_z9783031265471
830 0 _aSynthesis Lectures on Engineering, Science, and Technology,
_x2690-0327
_984680
856 4 0 _uhttps://doi.org/10.1007/978-3-031-26545-7
912 _aZDB-2-SXSC
942 _cEBK
999 _c85705
_d85705