Working with matrices

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  • In addition to Excel's extensive list of worksheet functions and array of calculation tools for scientific and engineering calculations, Excel contains a programming language that allows users to create procedures, sometimes referred to as macros, that can perform even more advanced calculations or that can automate repetitive calculations.

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  • WHO THIS BOOK IS FOR Be aware that this is not a beginner book. It is an intermediate-level book that assumes you are familiar with linear algebra (matrices, vectors, and quaternions), you have a strong C/C++ programming background, you have at least touched base with OpenGL or OpenGL ES, and you basically know how computer graphics work in general. If you have this necessary knowledge, and want to make lightning-fast progress in game and graphics programming, then you have found the right publication.

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  • Random matrices are widely and successfully used in physics for almost 60-70 years, beginning with the works of Wigner and Dyson. Initially proposed to describe statistics of excited levels in complex nuclei, the Random Matrix Theory has grown far beyond nuclear physics, and also far beyond just level statistics. It is constantly developing into new areas of physics and mathematics, and now constitutes a part of the general culture and curriculum of a theoretical physicist.

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  • We study the Radon transform Rf of functions on Stiefel and Grassmann manifolds. We establish a connection between Rf and G˚ arding-Gindikin fractional integrals associated to the cone of positive definite matrices. By using this connection, we obtain Abel-type representations and explicit inversion formulae for Rf and the corresponding dual Radon transform. We work with the space of continuous functions and also with Lp spaces.

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  • Most books that use MATLAB are aimed at readers who know how to program. This book is for people who have never programmed before. As a result, the order of presentation is unusual. The book starts with scalar values and works up to vectors and matrices very gradually. This approach is good for beginning programmers, because it is hard to understand composite objects until you understand basic programming semantics.

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