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Advanced mathematical methods / Adam Ostaszewski.

By: Ostaszewski, Adam [author]

Language: English Publisher: Cambridge: Cambridge University Press, c2012Description: 1 online resource (xiii, 545 pages) : illustrationsContent type: text Media type: computer Carrier type: online resourceISBN: 9781139171663Subject(s): Algebras, Linear | CalculusGenre/Form: Electronic books.DDC classification: 512.5 Online resources: Full text available at Cambridge University Press Click here to view

Contents:

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.

Summary: 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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Item type	Current location	Home library	Call number	Status	Date due	Barcode	Item holds
EBOOK	COLLEGE LIBRARY	COLLEGE LIBRARY LIC Gateway	512.5 Os72 2012 (Browse shelf)	Available		CL-46239

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Includes index.

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.

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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