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LECTURE NOTES ON MATHEMATICAL METHODS

LECTURE NOTES ONMATHEMATICAL METHODSM ihir SenJoseph M. PowersDepartment of Aerospace and Mechanical EngineeringUniversity of Notre DameNotre Dame, Indiana 46556-5637 USAupdated29 July 2012, 2:31pm2CC BY-NC-ND. 29 July 2012, Sen & Multi-variable Implicit functions .. Functional dependence .. Coordinate transformations .. Jacobian matrices and metric tensors .. Covariance and contravariance .. Orthogonal curvilinear coordinates .. Maxima and minima .. Derivatives of integral expressions .. Calculus of variations .. Lagrange multipliers .. 50 Problems .. 542 First-order ordinary differential Separation of variables .. Homogeneous equations .. Exact equations .. Integrating factors .. Bernoulli equation .. Riccati equation .. Reduction of order.

LECTURE NOTES ON MATHEMATICAL METHODS Mihir Sen Joseph M. Powers Department of Aerospace and Mechanical Engineering University of …

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