Titre : | Advanced mathematical methods | Type de document : | texte imprimé | Auteurs : | Adam OSTASZEWSKI, Auteur | Editeur : | Cambridge university press | Année de publication : | 1994 | Collection : | london school of economics mathematics series | Importance : | 545 p. | Format : | 25 cm. | ISBN/ISSN/EAN : | 978-0-521-28964-1 | Note générale : | Index | Langues : | Anglais (eng) | Catégories : | MATHÉMATIQUES:Algébre
| Index. décimale : | 04-03 Algébre | Résumé : | 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. The prerequisites are elementary courses in linear algebra and calculus, but the author has maintained a balance between a rigorous theoretical and a cookbook approach, giving concrete and geometric explanations, so that the material will be accessible to students who have not studied mathematics in depth. Indeed, as much of the material is normally available only in technical textbooks, this book will have wide appeal to students whose interest is in application rather than theory. The book is amply supplied with examples and exercises: complete solutions to a large proportion of these are provided.
Table des matières:
Linear algebra
Geometry in Râ¿
Matrices
Projections
Spectral theory
Reduction to upper triangular form
Reduction to tridiagonal form
Inverses
Convexity
The separating hyperplane theorem
Linear inequalities
Linear programming and game theory
The simplex method
Partial derivatives revision
Convex functions
Nonlinear programming
Advanced calculus
Manipulation of integrals
Multiple integrals
Differential and difference equations revision
Laplace transforms
Series solution of linear ordinary differential equations
Calculus of variations
Solutions to selected exercises
Miscellany
Appendix
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Advanced mathematical methods [texte imprimé] / Adam OSTASZEWSKI, Auteur . - Cambridge university press, 1994 . - 545 p. ; 25 cm.. - ( london school of economics mathematics series) . ISBN : 978-0-521-28964-1 Index Langues : Anglais ( eng) Catégories : | MATHÉMATIQUES:Algébre
| Index. décimale : | 04-03 Algébre | Résumé : | 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. The prerequisites are elementary courses in linear algebra and calculus, but the author has maintained a balance between a rigorous theoretical and a cookbook approach, giving concrete and geometric explanations, so that the material will be accessible to students who have not studied mathematics in depth. Indeed, as much of the material is normally available only in technical textbooks, this book will have wide appeal to students whose interest is in application rather than theory. The book is amply supplied with examples and exercises: complete solutions to a large proportion of these are provided.
Table des matières:
Linear algebra
Geometry in Râ¿
Matrices
Projections
Spectral theory
Reduction to upper triangular form
Reduction to tridiagonal form
Inverses
Convexity
The separating hyperplane theorem
Linear inequalities
Linear programming and game theory
The simplex method
Partial derivatives revision
Convex functions
Nonlinear programming
Advanced calculus
Manipulation of integrals
Multiple integrals
Differential and difference equations revision
Laplace transforms
Series solution of linear ordinary differential equations
Calculus of variations
Solutions to selected exercises
Miscellany
Appendix
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