000 | 03507clm0a2200517 4500 | ||
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001 | 16024 | ||
009 | 242193455 | ||
003 | http://www.sudoc.fr/242193455 | ||
005 | 20250630092554.0 | ||
010 | _a9783030205065 | ||
010 | _a3-030-20506-1 | ||
010 | _a3-030-20505-3 | ||
010 | _a978-3-030-20505-8 | ||
010 | _a978-3-030-20507-2 | ||
010 | _a3-030-20507-X | ||
010 | _a978-3-030-20508-9 | ||
010 | _a3-030-20508-8 | ||
010 | _z9783030205058 | ||
017 | 7 | 0 |
_a10.1007/978-3-030-20506-5 _2DOI |
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_aeng _2639-2 |
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_6z01 _ai# _bxxxe## |
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182 |
_6z01 _cc _2rdamedia |
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_6z01 _ab |
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_6z01 _anga _2RDAfrCarrier |
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200 | 1 |
_aDifferential equations _efor scientists and engineers _fAllan Struthers, Merle Potter |
|
205 | _aSecond edition. | ||
214 | 0 |
_aCham, Switzerland _cSpringer _d2019 |
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215 | _a1 online resource (xvii, 514 pages) | ||
320 | _aIncludes bibliographical references and index. | ||
327 | 1 |
_aChapter 1: Essentials of linear algebra _aChapter 2: First-order differential equations _aChapter 3: Linear systems of differential equations _aChapter 4: Higher order differential equations _aChapter 5: Laplace transforms _aChapter 6: Nonlinear systems of differential equations _aChapter 7: Numerical methods for differential equations _aChapter 8: Series solutions for differential equations _aAppendix A: Review of integration techniques _aAppendix B: Complex numbers _aAppendix C: Roots of polynomials _aAppendix D: Linear transformations _aAppendix E: Solutions to selected exercises |
|
330 | _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 | ||
345 |
_aSpringer Nature _bcom.springer.onix.9783030205065 |
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606 |
_aDifferential equations _2lc |
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676 |
_a515/.35 _v23 |
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680 | _aQA371 | ||
700 | 1 |
_aStruthers _bA. _gAllan A. _4070 |
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702 | 1 |
_aPotter _bMerle C. _4070 |
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856 |
_uhttp://link.springer.com/openurl?genre=book&isbn=978-3-030-20506-5 _zLivre électronique<br / |