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020 _a9780495561989 (hbk.)
020 _a0495561983 (hbk.)
035 _a(OCoLC)ocn665137246
040 _aUKM
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050 0 0 _aQA371
_b.B63 2012
082 0 4 _222
100 1 _aBlanchard, Paul,
_d1951-
_934948
245 1 0 _aDifferential equations /
_cby Paul Blanchard, Robert Devaney, Glen Hall.
250 _a4th ed.
260 _aPacific Grove, Calif. :
_bBrooks/Cole ;
_aAndover :
_bCengage Learning [distributor],
_c2010.
300 _a834 p. :
_bill. ;
_c24 cm.
500 _aPrevious ed.: Belmont, Calif.; London: Thomson Higher Education, 2006.
500 _aIncludes index.
505 0 _aFirst-order differential equations -- First-order systems -- Linear systems -- Forcing and resonance -- Nonlinear systems -- Laplace transforms -- Numerical methods -- Discrete dynamical systems.
520 _a"Incorporating an innovative modeling approach, this text for a one-semester differential equations course emphasizes conceptual understanding to help students relate information taught in the classroom to real-world experiences. Going beyond a traditional emphasis on technique, the authors focus on understanding how differential equations are formulated and interpreting their meaning to applied models from a variety of disciplines. A three-pronged qualitative, numeric, and analytic approach stresses visualizing differential equations geometrically, utilizing the latest computational technology to investigate the behavior of solutions, and predicting the behavior of solutions as they apply to models. The presentation weaves various points of view together so students become adept at moving between different representations to solve nonlinear differential equations equally well as traditional linear equations. Certain models reappear throughout the text as running themes to synthesize different concepts from multiple angles, and a dynamical systems focus emphasizes predicting the long-term behavior of these recurring models. Students will discover how to identify and harness the mathematics they will use in their careers, and apply it effectively outside the classroom."--
650 0 _aDifferential equations.
_95730
700 1 _aDevaney, Robert L.,
_d1948-
_934949
700 1 _aHall, Glen R.
_934950
906 _a7
_bcbc
_ccopycat
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942 _2lcc
_cBK
_hQA371
_i.B63 2012