A Short Course in Mathematical Methods with MapleThis unique book provides a streamlined, self-contained and modern text for a one-semester mathematical methods course with an emphasis on concepts important from the application point of view. Part I of this book follows the ?paper and pencil? presentation of mathematical methods that emphasizes fundamental understanding and geometrical intuition. In addition to a complete list of standard subjects, it introduces important, contemporary topics like nonlinear differential equations, chaos and solitons. Part II employs the Maple software to cover the same topics as in Part I in a computer oriented approach to instruction. Using Maple liberates students from laborious tasks while helping them to concentrate entirely on concepts and on better visualizing the mathematical content. The focus of the text is on key ideas and basic technical and geometric insights presented in a way that closely reflects how physicists and engineers actually think about mathematics. |
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A Short Course in Mathematical Methods with Maple Henrik Aratyn,Constantin Rasinariu Limited preview - 2005 |
Common terms and phrases
A₁ angle axis basis Bessel functions C₁ calculate coefficients column vectors command complex constant convergence coordinate system corresponding critical point curve defined derivative determinant diagonal differential equation dsolve eigenvalues eigenvectors end proc equal Example exponential expression Find formula Fourier series function f(x given gradient Hermitian identity initial conditions inner product interval KdV equation Legendre polynomials line integral Linear Algebra linear combination linear system linearly independent Maple multiplication nonlinear obtain operator orthogonal orthonormal parameter permutation plane plot power series relation restart result right hand side rotation matrix satisfy scalar Show shown in Figure simplify sin² soliton solve special orthogonal matrix spherical stable surface theorem thickness=2 trajectories transformation unit vector v₁ values variable vector field vector space VectorCalculus Wronskian y₁ y₁(x yields zero მე მყ