Adam Ostaszewski

Advanced Mathematical Mathods

• Gebundenes Buch

Produktbeschreibung

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.

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Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 560
• Erscheinungstermin: 10. März 2009
• Englisch
• Abmessung: 235mm x 157mm x 37mm
• Gewicht: 1052g
• ISBN-13: 9780521247887
• ISBN-10: 0521247888
• Artikelnr.: 26248153

Autorenporträt

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.

Inhaltsangabe

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.