| Autore |
Mavron Vassilis C
|
| Edizione | [2nd ed.] |
| Pubbl/distr/stampa |
Cham : , : Springer International Publishing AG, , 2023
|
| Descrizione fisica |
1 online resource (390 pages)
|
| Disciplina |
510.2433
|
| Altri autori (Persone) |
PhillipsTimothy N
|
| Collana |
Classroom Companion: Economics Series
|
| ISBN |
3-031-43910-4
|
| Formato |
Materiale a stampa  |
| Livello bibliografico |
Monografia |
| Lingua di pubblicazione |
eng
|
| Nota di contenuto |
Intro -- Preface -- Preface to the Second Edition -- Contents -- 1 Essential Skills -- 1.1 Introduction -- 1.2 Numbers -- 1.2.1 Addition and Subtraction -- 1.2.2 Multiplication and Division -- 1.2.3 Evaluation of Arithmetical Expressions -- 1.3 Fractions -- 1.3.1 Multiplication and Division -- 1.4 Decimal Representation of Numbers -- 1.4.1 Standard Form -- 1.5 Percentages -- 1.6 Powers and Indices -- 1.7 Simplifying Algebraic Expressions -- 1.7.1 Multiplying Brackets -- 1.7.2 Factorization -- 2 Linear Equations -- 2.1 Introduction -- 2.2 Solution of Linear Equations -- 2.3 Solution of Simultaneous Linear Equations -- 2.4 Graphs of Linear Equations -- 2.4.1 Slope of a Straight Line -- 2.5 Budget Lines -- 2.6 Supply and Demand Analysis -- 2.6.1 Multicommodity Markets -- 3 Quadratic Equations -- 3.1 Introduction -- 3.2 Graphs of Quadratic Functions -- 3.3 Quadratic Equations -- 3.4 Applications to Economics -- 4 Functions of a Single Variable -- 4.1 Introduction -- 4.2 Limits -- 4.3 Polynomial Functions -- 4.4 Continuity -- 4.5 Reciprocal Functions -- 4.6 Inverse Functions -- 5 The Exponential and Logarithmic Functions -- 5.1 Introduction -- 5.2 Exponential Functions -- 5.3 Logarithmic Functions -- 5.4 Returns to Scale of Production Functions -- 5.4.1 Cobb-Douglas Production Functions -- 5.5 Compounding of Interest -- 5.6 Applications of the Exponential Function in EconomicModelling -- 6 Differentiation -- 6.1 Introduction -- 6.2 Rules of Differentiation -- 6.2.1 Constant Functions -- 6.2.2 Linear Functions -- 6.2.3 Power Functions -- 6.2.4 Sums and Differences of Functions -- 6.2.5 Product of Functions -- 6.2.6 Quotient of Functions -- 6.2.7 The Chain Rule -- 6.3 Exponential and Logarithmic Functions -- 6.4 Marginal Functions in Economics -- 6.4.1 Marginal Revenue and Marginal Cost -- 6.4.2 Marginal Propensities.
6.5 Approximation to Marginal Functions -- 6.6 Higher Order Derivatives -- 6.7 Production Functions -- 7 Maxima and Minima -- 7.1 Introduction -- 7.2 Local Properties of Functions -- 7.2.1 Increasing and Decreasing Functions -- 7.2.2 Concave and Convex Functions -- 7.3 Local or Relative Extrema -- 7.4 Global or Absolute Extrema -- 7.5 Points of Inflection -- 7.6 Optimization of Production Functions -- 7.7 Optimization of Profit Functions -- 7.8 Other Examples -- 8 Partial Differentiation -- 8.1 Introduction -- 8.2 Functions of Two or More Variables -- 8.3 Partial Derivatives -- 8.4 Higher Order Partial Derivatives -- 8.5 Partial Rate of Change -- 8.6 The Chain Rule and Total Derivatives -- 8.7 Some Applications of Partial Derivatives -- 8.7.1 Implicit Differentiation -- 8.7.2 Elasticity of Demand -- 8.7.3 Utility -- 8.7.4 Production -- 8.7.5 Graphical Representations -- 9 Optimization -- 9.1 Introduction -- 9.2 Unconstrained Optimization -- 9.3 Constrained Optimization -- 9.3.1 Substitution Method -- 9.3.2 Lagrange Multipliers -- 9.3.3 The Lagrange Multiplier λ: An Interpretation -- 9.4 Iso Curves -- 10 Matrices and Determinants -- 10.1 Introduction -- 10.2 Matrix Operations -- 10.2.1 Scalar Multiplication -- 10.2.2 Matrix Addition -- 10.2.3 Matrix Multiplication -- 10.3 Solutions of Linear Systems of Equations -- 10.4 Cramer's Rule -- 10.5 More Determinants -- 10.6 Special Cases -- 10.7 Eigenvalues and Eigenvectors -- 11 Integration -- 11.1 Introduction -- 11.2 Rules of Integration -- 11.3 Definite Integrals -- 11.4 Definite Integration: Area and Summation -- 11.5 Producer's Surplus -- 11.6 Consumer's Surplus -- 11.7 Integration by Substitution -- 11.8 Partial Fractions in Integration -- 11.9 Integration by Parts -- 12 Linear Difference Equations -- 12.1 Introduction -- 12.2 Difference Equations -- 12.3 First Order Linear Difference Equations.
12.4 Stability -- 12.5 The Cobweb Model -- 12.6 Second Order Linear Difference Equations -- 12.6.1 Complementary Solutions -- 12.6.2 Particular Solutions -- 12.6.3 Stability -- 13 Differential Equations -- 13.1 Introduction -- 13.2 First Order Linear Differential Equations -- 13.2.1 Stability -- 13.3 Nonlinear First Order Differential Equations -- 13.3.1 Separation of Variables -- 13.3.2 Integrating Factors -- 13.4 Solow Differential Equation -- 13.5 Second Order Linear Differential Equations -- 13.5.1 The Homogeneous Case -- 13.5.2 The General Case -- 13.5.3 Stability -- A Differentials -- B Answers to Self-Assessment Questions -- Index.
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| Record Nr. | UNINA-9910765489203321 |
Info
Elements of Mathematics for Economics and Finance
