000 03870nam a22005295i 4500
001 978-3-030-20506-5
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005 20220801215404.0
007 cr nn 008mamaa
008 190731s2019 sz | s |||| 0|eng d
020 _a9783030205065
_9978-3-030-20506-5
024 7 _a10.1007/978-3-030-20506-5
_2doi
050 4 _aTA329-348
072 7 _aTBJ
_2bicssc
072 7 _aTEC009000
_2bisacsh
072 7 _aTBJ
_2thema
082 0 4 _a620.00151
_223
100 1 _aStruthers, Allan.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_944069
245 1 0 _aDifferential Equations
_h[electronic resource] :
_bFor Scientists and Engineers /
_cby Allan Struthers, Merle Potter.
250 _a2nd ed. 2019.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2019.
300 _aXVII, 514 p. 53 illus., 2 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
505 0 _aChapter 1: Essentials of linear algebra -- Chapter 2: First-order differential equations -- Chapter 3: Linear systems of differential equations -- Chapter 4: Higher order differential equations -- Chapter 5: Laplace transforms -- Chapter 6: Nonlinear systems of differential equations -- Chapter 7: Numerical methods for differential equations -- Chapter 8: Series solutions for differential equations -- Appendix A: Review of integration techniques -- Appendix B: Complex numbers -- Appendix C: Roots of polynomials -- Appendix D: Linear transformations -- Appendix E: Solutions to selected exercises.
520 _aThis book is designed to serve as a textbook for a course on ordinary differential equations, which is usually a required course in most science and engineering disciplines and follows calculus courses. The book begins with linear algebra, including a number of physical applications, and goes on to discuss first-order differential equations, linear systems of differential equations, higher order differential equations, Laplace transforms, nonlinear systems of differential equations, and numerical methods used in solving differential equations. The style of presentation of the book ensures that the student with a minimum of assistance may apply the theorems and proofs presented. Liberal use of examples and homework problems aids the student in the study of the topics presented and applying them to numerous applications in the real scientific world. This textbook focuses on the actual solution of ordinary differential equations preparing the student to solve ordinary differential equations when exposed to such equations in subsequent courses in engineering or pure science programs. The book can be used as a text in a one-semester core course on differential equations, alternatively it can also be used as a partial or supplementary text in intensive courses that cover multiple topics including differential equations. .
650 0 _aEngineering mathematics.
_93254
650 0 _aDifferential equations.
_944070
650 0 _aMathematical physics.
_911013
650 1 4 _aEngineering Mathematics.
_93254
650 2 4 _aDifferential Equations.
_944071
650 2 4 _aMathematical Methods in Physics.
_931865
700 1 _aPotter, Merle.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_944072
710 2 _aSpringerLink (Online service)
_944073
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783030205058
776 0 8 _iPrinted edition:
_z9783030205072
776 0 8 _iPrinted edition:
_z9783030205089
856 4 0 _uhttps://doi.org/10.1007/978-3-030-20506-5
912 _aZDB-2-ENG
912 _aZDB-2-SXE
942 _cEBK
999 _c77435
_d77435