04237oam 2200673I 450 991095581700332120251116232757.01-136-86898-41-283-59045-X97866139029000-203-83721-51-136-86899-210.4324/9780203837214 (CKB)2560000000092934(EBL)1020348(OCoLC)810082610(SSID)ssj0000831393(PQKBManifestationID)11421077(PQKBTitleCode)TC0000831393(PQKBWorkID)10873758(PQKB)11146479(MiAaPQ)EBC1020348(Au-PeEL)EBL1020348(CaPaEBR)ebr10598631(CaONFJC)MIL390290(FINmELB)ELB137672(EXLCZ)99256000000009293420180706d2011 uy 0engur|n|---|||||txtccrMathematical economics /Arsen Melkumian1st ed.London ;New York :Routledge,2011.1 online resource (232 p.)Includes index.0-415-77687-2 0-415-77686-4 Cover; Mathematical Economics; Copyright; Contents; Preface; Acknowledgements; 1 Introduction; 1.1 Basic set theory; 1.2 Functions from R to R; 2 Fundamental functions and series; 2.1 Power functions; 2.2 Exponents; 2.3 Sequences and series; 2.4 Some rules of summation; 3 Exponential and logarithmic functions; 3.1 Logarithmic function; 3.2 Exponential functions; 3.3 Mathematica examples; 4 Limits and derivatives; 4.1 Limits; 4.2 First- and second-order derivatives; 4.3 The chain rule; 4.4 Total and marginal functions; 4.5 Growth rates; 5 Optimization of univariate functions5.1 Local and global extrema5.2 Taylor series; 5.3 Mathematica examples; 6 Matrix algebra; 6.1 Introduction; 6.2 Determinant of a matrix; 6.3 The matrix of cofactors; 6.4 The inverse matrix; 6.5 Systems of linear equations; 7 Further topics in matrix algebra; 7.1 Linear dependence; 7.2 Quadratic forms; 7.3 The Hessian matrix; 7.4 Row echelon form of a matrix; 7.5 The rank of a matrix; 7.6 Eigenvalues and eigenvectors; 7.7 Kronecker product; 7.8 Vectorization of a matrix; 7.9 Mathematica examples; 7.10 Matlab examples; 8 Optimization of bivariate and multivariate functions8.1 The Hessian matrix8.2 Two-variable functions; 8.3 Multivariate functions; 8.4 Optimization with one constraint; 8.5 Matlab example; 9 Indefinite and definite integrals; 9.1 Indefinite integrals; 9.2 Integration by substitution and integration by parts; 9.3 Definite integrals; 9.4 Mathematica examples; 10 Mathematics of finance; 10.1 Simple interest; 10.2 Compound interest; 10.3 Continuous compounding; 10.4 Effective annual rate; 10.5 Present value; 10.6 Car loans and mortgages; 11 Complex numbers; 11.1 The set of complex numbers; 11.2 Polar and trigonometric form of complex numbers11.3 Mathematica examples12 Difference and differential equations; 12.1 Difference equations; 12.2 Differential equations; Answers to odd-numbered problems; IndexThis textbook, designed for a single semester course, begins with basic set theory, and moves briskly through fundamental, exponential, and logarithmic functions. Limits and derivatives finish the preparation for economic applications, which are introduced in chapters on univariate functions, matrix algebra, and the constrained and unconstrained optimization of univariate and multivariate functions. The text finishes with chapters on integrals, the mathematics of finance, complex numbers, and differential and difference equations.Rich in targeted examples and explanations, MathematicEconomics, MathematicalMathematicsEconomics, Mathematical.Mathematics.330.01/51330.0151Melkumian Arsen1969-,1882928MiAaPQMiAaPQMiAaPQBOOK9910955817003321Mathematical economics4498642UNINA