000 | a | ||
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999 |
_c31836 _d31836 |
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008 | 230420b xxu||||| |||| 00| 0 eng d | ||
020 | _a9780000988560 | ||
082 |
_a515.35 _bBAK |
||
100 | _aBaker, Gregory | ||
245 | _aDifferential equations as models in science and engineering | ||
260 |
_bWorld Scientific Publishing, _aSingapore : _c2016 |
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300 |
_axxi, 368 p.; _bill., (charts), _c25 cm |
||
365 |
_b1495.00 _cINR _d01 |
||
504 | _aIncludes index. | ||
520 | _aThis textbook develops a coherent view of differential equations by progressingthrough a series of typical examples in science and engineering that arise asmathematical models. All steps of the modeling process are covered: formulationof a mathematical model; the development and use of mathematical concepts that lead to construct constructive solutions; validation of the solutions; and consideration of the consequences. The volume engages students in thinking mathematically, while emphasizing the power and relevance of mathematics in science and engineering. There are just a few guidelines that bring coherence to the construction of solutions as the book progresses through ordinary to partial differential equations using examples from mixing, electric circuits, chemical reactions and transport processes, among others. The development of differential equations as mathematical models and the construction of their solutions are places center stage in this volume. | ||
650 | _aDifferential equations | ||
650 | _aEngineering Mathematical models | ||
650 | _aScience Mathematical models | ||
650 | _aTime derivatives | ||
650 | _a Boundary value problem | ||
650 | _aCosine series | ||
650 | _a Kirchoff's laws | ||
650 | _aSawtooth function | ||
650 | _a Equilibrium points | ||
650 | _a Homogeneous problems | ||
650 | _aFourier series | ||
650 | _a Variables separation | ||
650 | _aCharacteristic equation | ||
650 | _a Initial conditions | ||
650 | _aPredator-prey models | ||
650 | _a Time scales | ||
650 | _aPeriodic behavior | ||
942 |
_2ddc _cBK |