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Download e-book for kindle: Almost periodic equations and conditions of Ambrosetti-Prodi by Ortega R., Tarallo M.

By Ortega R., Tarallo M.

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Extra info for Almost periodic equations and conditions of Ambrosetti-Prodi type

Example text

1 Introduction . . . . . . . . . . . . . . 1 Brief Characterization of Computer Algebra Systems . 2 Examples of Basic Application Fields . . . . . 1 Manipulation of Formulas . . . . . 2 Numerical Calculations . . . . . . 3 Graphical Representations . . . . . 3 Structure of Computer Algebra Systems . . . . 1 Basic Structure Elements . . . . . . 2 Mathematica . . . . . . . . . . . . . 1 Basic Structure Elements .

8 Programming in Maple . . . . . . . . . 9 Supplement about Syntax, Information and Help . . 1 Using the Maple Library . . . . . . 2 Environment Variable . . . . . . 3 Information and Help . . . . . . . 4 Applications of Computer Algebra Systems . . . . . 1 Manipulation of Algebraic Expressions . . . . . 1 Mathematica . . . . . . . . . 2 Maple . . . . . . . . . . . 2 Solution of Equations and Systems of Equations . . 1 Mathematica . . . .

Equation of curves of second order. Central curves ( 6= 0) . . . . . . . Equations of curves of second order. Parabolic curves ( = 0) . . . . . . Coordinate signs in the octants . . . . . . . . . . . . . . . Connections between Cartesian, cylindrical, and spherical polar coordinates . . Notation for the direction cosines under coordinate transformation . . . . . Type of surfaces of second order with 6= 0 (central surfaces) . . . . . . Type of surfaces of second order with = 0 (paraboloid, cylinder and two planes) .

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Almost periodic equations and conditions of Ambrosetti-Prodi type by Ortega R., Tarallo M.


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