fachmedien.de - spezialisierte Fachinformationen für Studium und Beruf
fachmedien.de - spezialisierte Fachinformationen für Studium und Beruf
fachmedien.de - spezialisierte Fachinformationen für Studium und Beruf
fachmedien.de - spezialisierte Fachinformationen für Studium und Beruf
fachmedien.de - spezialisierte Fachinformationen für Studium und Beruf

Site Breadcrumb

Verkauf durch Sack Fachmedien

Toda

Essential Mathematics for Economics

Medium: Buch
ISBN: 978-1-032-68030-9
Verlag: CRC Press
Erscheinungstermin: 08.10.2024
In den Warenkorb
Lieferfrist: bis zu 10 Tage
Auf die Merkliste Drucken

Überschrift

Beschreibung

Kostenloser Versand

nach Deutschland, Österreich und in die Schweiz

Bequem zahlen

Rechnung, Kreditkarte, PayPal oder Bankeinzug

Wir sind gerne für Sie da

0800 000-1378 (Inland)
service@fachmedien.de
<<Kontaktformular>>

Fragen

Fragen Lorem ipsum dolor sit amet, consetetur sadipscing elitr, sed diam nonumy eirmod tempor invidunt ut labore et dolore magna aliquyam erat, sed diam voluptua
Anwtorten

Anwtorten At vero eos et accusam et justo duo dolores et ea rebum. Stet clita kasd gubergren, no sea takimata sanctus est Lorem ipsum dolor sit amet. Lorem ipsum dolor sit amet

Essential Mathematics for Economics covers mathematical topics that are essential for economic analysis in a concise but rigorous fashion. The book covers selected topics such as linear algebra, real analysis, convex analysis, constrained optimization, dynamic programming, and numerical analysis in a single volume. The book is entirely self-contained, and almost all propositions are proved.

Features

- Replete with exercises and illuminating examples

- Suitable as a primary text for an advanced undergraduate or postgraduate course on mathematics for economics

- Basic linear algebra and real analysis are the only prerequisites.

- Supplementary materials such as Matlab codes, teaching slides etc. are posted on the book website https://github.com/alexisakira/EME.

Produkteigenschaften

  • Artikelnummer: 9781032680309
  • Medium: Buch
  • ISBN: 978-1-032-68030-9
  • Verlag: CRC Press
  • Erscheinungstermin: 08.10.2024
  • Sprache(n): Englisch
  • Auflage: 1. Auflage 2024
  • Produktform: Gebunden
  • Gewicht: 608 g
  • Seiten: 308
  • Format (B x H x T): 156 x 234 x 19 mm
  • Ausgabetyp: Kein, Unbekannt

Themen

Autoren/Hrsg.

Autoren

0. Roadmap. Section I. Introduction to Optimization. 1. Existence of Solutions. 1.1. Introduction. 1.2. The Real Number System. 1.3. Convergence of Sequences. 1.4. The Space rn. 1.5. Topology of rn. 1.6. Continuous Functions. 1.7. Extreme Value Theorem. 1.A. Topological Space. 2. One-Variable Optimization. 2.1. Introduction. 2.2. Differentiation. 2.3. Necessary Condition. 2.4. Mean Value and Taylor’s Theorem. 2.5. Sufficient Condition. 2.6. Optimal Savings Problem. 3. Multi-Variable Unconstrained Optimization. 3.1. Introduction. 3.2. Linear Maps and Matrices. 3.3. Differentiation. 3.4. Chain Rule. 3.5. Necessary Condition. 4. Introduction to Constrained Optimization. 4.1. Introduction. 4.2. One Linear Constraint. 4.3. Multiple Linear Constraints. 4.4. Karush-Kuhn-Tucker Theorem. 4.5. Inequality and Equality Constraints. 4.6. Constrained Maximization. 4.7. Dropping Nonnegativity Constraints. Section II. Matrix and Nonlinear Analysis. 5. Vector Space, Matrix, and Determinant. 5.1. Introduction. 5.2. Vector Space. 5.3. Solving Linear Equations. 5.4. Determinant. 6. Spectral Theory. 6.1. Introduction. 6.2. Eigenvalue and Eigenvector. 6.3. Diagonalization. 6.4. Inner Product and Norm. 6.5. Upper Triangularization. 6.6. Positive Definite Matrices. 6.7. Second-Order Optimality Condition. 6.8. Matrix Norm and Spectral Radius. 7. Metric Space and Contraction. 7.1. Metric Space. 7.2. Completeness and Banach Space. 7.3. Contraction Mapping Theorem. 7.4. Blackwell’s Sufficient Condition. 7.5. Perov Contraction. 7.6. Parametric Continuity of Fixed Point. 8. Implicit Function and Stable Manifold Theorem. 8.1. Introduction. 8.2. Inverse Function Theorem. 8.3. Implicit Function Theorem. 8.4. Optimal Savings Problem. 8.5. Optimal Portfolio Problem. 8.6. Stable Manifold Theorem. 8.7. Overlapping Generations Model. 9. Nonnegative Matrices. 9.1. Introduction. 9.2. Markov Chain. 9.3. Perron’s Theorem. 9.4. Irreducible Nonnegative Matrices. 9.5. Metzler Matrices. Section III. Convex and Nonlinear Optimization. 10. Convex Sets. 10.1. Convex Sets. 10.2. Convex Hull. 10.3. Hyperplanes and Half Spaces. 10.4. Separation of Convex Sets. 10.5. Cone and Dual Cone. 10.6. No-Arbitrage Asset Pricing. 11. Convex Functions. 11.1. Convex and Quasi-Convex Functions. 11.2. Convexity-Preserving Operations. 11.3. Differential Characterization. 11.4. Continuity of Convex Functions. 11.5. Homogeneous Quasi-Convex Functions. 11.6. Log-Convex Functions. 12. Nonlinear Programming. 12.1. Introduction. 12.2. Necessary Condition. 12.3. Karush-Kuhn-Tucker Theorem. 12.4. Constraint Qualifications. 12.5. Saddle Point Theorem. 12.6. Duality. 12.7. Sufficient Conditions. 12.8. Parametric Differentiability. 12.9. Parametric Continuity. Section IV. Dynamic Optimization. 13. Introduction to Dynamic Programming. 13.1. Introduction. 13.2. Knapsack Problem. 13.3. Shortest Path Problem. 13.4. Optimal Savings Problem. 13.5. Optimal Stopping Problem. 13.6. Secretary Problem. 13.7. Abstract Formulation. 14. Contraction Methods. 14.1. Introduction. 14.2. Markov Dynamic Program. 14.3. Sequential and Recursive Formulations. 14.4. Properties of Value Function. 14.5. Restricting Spaces. 14.6. State-Dependent Discounting. 14.7. Weighted Supremum Norm. 14.8. Numerical Dynamic Programming. 15. Variational Methods. 15.1. Introduction. 15.2. Euler Equation. 15.3. Transversality Condition. 15.4. Stochastic Case. 15.5. Optimal Savings Problem.