000 a
999 _c31836
_d31836
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
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