By Mark McKibben,Micah D. Webster
A designated textbook for an undergraduate direction on mathematical modeling, Differential Equations with MATLAB: Exploration, purposes, and Theory offers scholars with an figuring out of the sensible and theoretical elements of mathematical versions concerning traditional and partial differential equations (ODEs and PDEs). The textual content offers a unifying photo inherent to the research and research of greater than 20 targeted versions spanning disciplines similar to physics, engineering, and finance.
The first a part of the booklet offers structures of linear ODEs. The textual content develops mathematical versions from ten disparate fields, together with pharmacokinetics, chemistry, classical mechanics, neural networks, body structure, and electric circuits. targeting linear PDEs, the second one half covers PDEs that come up within the mathematical modeling of phenomena in ten different components, together with warmth conduction, wave propagation, fluid stream via fissured rocks, development formation, and fiscal mathematics.
The authors have interaction scholars via posing questions of all kinds all through, together with verifying info, proving conjectures of tangible effects, examining huge strokes that happen in the improvement of the speculation, and making use of the idea to precise versions. The authors’ obtainable type encourages scholars to actively paintings during the fabric and solution those questions. additionally, the wide use of MATLAB® GUIs permits scholars to find styles and make conjectures.
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Additional info for Differential Equations with MATLAB: Exploration, Applications, and Theory (Textbooks in Mathematics)
Differential Equations with MATLAB: Exploration, Applications, and Theory (Textbooks in Mathematics) by Mark McKibben,Micah D. Webster