000 04144nam a22005055i 4500
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020 _a9783031024047
_9978-3-031-02404-7
024 7 _a10.1007/978-3-031-02404-7
_2doi
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072 7 _aPB
_2bicssc
072 7 _aMAT000000
_2bisacsh
072 7 _aPB
_2thema
082 0 4 _a510
_223
100 1 _aWatts, Robert.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_981204
245 1 0 _aEssentials of Applied Mathematics for Engineers and Scientists, Second Edition
_h[electronic resource] /
_cby Robert Watts.
250 _a2nd ed. 2012.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2012.
300 _aXI, 185 p.
_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 Mathematics & Statistics,
_x1938-1751
505 0 _aPartial Differential Equations in Engineering -- The Fourier Method: Separation of Variables -- Orthogonal Sets of Functions -- Series Solutions of Ordinary Differential Equations -- Solutions Using Fourier Series and Integrals -- Integral Transforms: The Laplace Transform -- Complex Variables and the Laplace Inversion Integral -- Solutions with Laplace Transforms -- Sturm-Liouville Transforms -- Introduction to Perturbation Methods -- Singular Perturbation Theory of Differential Equations -- Appendix A: The Roots of Certain Transcendental Equations.
520 _aThe Second Edition of this popular book on practical mathematics for engineers includes new and expanded chapters on perturbation methods and theory. This is a book about linear partial differential equations that are common in engineering and the physical sciences. It will be useful to graduate students and advanced undergraduates in all engineering fields as well as students of physics, chemistry, geophysics and other physical sciences and professional engineers who wish to learn about how advanced mathematics can be used in their professions. The reader will learn about applications to heat transfer, fluid flow and mechanical vibrations. The book is written in such a way that solution methods and application to physical problems are emphasized. There are many examples presented in detail and fully explained in their relation to the real world. References to suggested further reading are included. The topics that are covered include classical separation of variables and orthogonal functions, Laplace transforms, complex variables and Sturm-Liouville transforms. This second edition includes two new and revised chapters on perturbation methods, and singular perturbation theory of differential equations. Table of Contents: Partial Differential Equations in Engineering / The Fourier Method: Separation of Variables / Orthogonal Sets of Functions / Series Solutions of Ordinary Differential Equations / Solutions Using Fourier Series and Integrals / Integral Transforms: The Laplace Transform / Complex Variables and the Laplace Inversion Integral / Solutions with Laplace Transforms / Sturm-Liouville Transforms / Introduction to Perturbation Methods / Singular Perturbation Theory of Differential Equations / Appendix A: The Roots of Certain Transcendental Equations.
650 0 _aMathematics.
_911584
650 0 _aStatistics .
_931616
650 0 _aEngineering mathematics.
_93254
650 1 4 _aMathematics.
_911584
650 2 4 _aStatistics.
_914134
650 2 4 _aEngineering Mathematics.
_93254
710 2 _aSpringerLink (Online service)
_981205
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783031012761
776 0 8 _iPrinted edition:
_z9783031035326
830 0 _aSynthesis Lectures on Mathematics & Statistics,
_x1938-1751
_981206
856 4 0 _uhttps://doi.org/10.1007/978-3-031-02404-7
912 _aZDB-2-SXSC
942 _cEBK
999 _c85129
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