Titlebook: Concise Computer Mathematics; Tutorials on Theory Ovidiu Bagdasar Book 2013 The Author(s) 2013 Computational Mathematics.Discrete Mathemat

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Tonometry

Normal Forms, Proof and Argument,al definition and derivation of d.n.f and c.n.f, along with some deduction rules. We then present some popular arguments such as the proof by contradiction, the proof by induction and the pigeonhole principle.

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Matrices and Applications, such as addition and multiplication, as well as the determinant and inverse of square matrices. Finally, matrices are used for solving systems of linear equations. These results prepare the introduction of matrix based linear transformations in computer graphics, discussed in the next chapter.

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Matrix Applications in Computer Graphics,chapter we first use matrices to represent points, lines and polygons. We then discuss in detail some linear transformations such as translation, scaling, rotation, reflections and shearing in 2D, and examine how transformations can be concatenated using matrix multiplication.

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Elementary Numerical Methods,n approximation for the error. In this chapter we shall discuss the Lagrange polynomial for interpolation data given by a table of values, basic iterative methods used for the numerical integration of real functions and some iterative methods for root finding.

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Zusammenfassung: Unser Beitrag zur Debatte,and number theory. In this chapter we present basic elements of number theory including prime numbers, divisibility, Euler’s totient function and modulo arithmetic, which are used to describe the Caesar cypher and the RSA algorithm.

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CRAMP

Book 2013oblems (which are direct applications of the theory) and additional supplementary problems (which may require a bit more work). Each chapter ends with answers or worked solutions for all of the problems..