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Informationen zum Autor Adam Ostaszewski is a lawyer by profession who lives in Poland. He is an author of novels and short stories. He is also a fan of historical, science fiction and political fiction literature. "Reflection" is his publishing debut. Klappentext This text is a self-contained second course on mathematical methods dealing with topics in linear algebra and multivariate calculus that can be applied to statistics. Zusammenfassung Written in an appealing and informal style! this text is a self-contained second course on mathematical methods dealing with topics in linear algebra and multivariate calculus that can be applied to statistics! operations research! computer science! econometrics and mathematical economics. Inhaltsverzeichnis Preface; Part I. Linear Algebra: 1. Vector spaces (revision); 2. Geometry in R; 3. Matrices; 4. Projections; 5. Spectral theory; 6. The upper triangular form; 7. The tri-diagonal form; 8. Inverses; 9. Convexity; 10. The separating hyperplane theorem; 11. Linear inequalities; 12. Linear programming and game theory; 13. The simplex method; 14. Partial derivatives (revision); 15. Convex functions; 16. Non-linear programming; Part II. Advanced Calculus: 1. The integration process; 2. Manipulation of integrals; 3. Multiple integrals; 4. Differential and difference equations (revision); 5. Laplace transforms; 6. Series solutions of differential equations; 7. Calculus of variations; Part III. Solutions to Selected Exercises; Index.
