Cantitate/Preț
Produs

Essential Mathematics for Economic Analysis

Autor Andres Carvajal, Arne Strom, Knut Sydsaeter, Peter Hammond
en Limba Engleză Paperback – 22 apr 2021

Preț: 39569 lei

Preț vechi: 45482 lei
-13%

Puncte Express: 594

Preț estimativ în valută:
7573 8072$ 6483£

Carte disponibilă

Livrare economică 13-27 mai
Livrare express 26 aprilie-02 mai pentru 6476 lei

Preluare comenzi: 021 569.72.76

Specificații

ISBN-13: 9781292359281
ISBN-10: 1292359285
Pagini: 976
Dimensiuni: 189 x 246 x 43 mm
Greutate: 1.63 kg
Ediția:6 ed
Editura: Pearson Education

Cuprins

Preface

I PRELIMINARIES

  1. Essentials of Logic and Set Theory
    • Essentials of Set Theory
    • Essentials of Logic
    • Mathematical Proofs
    • Mathematical Induction
    Review Exercises
  2. Algebra
    • The Real Numbers
    • Integer Powers
    • Rules of Algebra
    • Fractions
    • Fractional Powers
    • Inequalities
    • Intervals and Absolute Values
    • Sign Diagrams
    • Summation Notation
    • Rules for Sums
    • Newton's Binomial Formula
    • Double Sums
    Review Exercises
  3. Solving Equations
    • Solving Equations
    • Equations and Their Parameters
    • Quadratic Equations
    • Some Nonlinear Equations
    • Using Implication Arrows
    • Two Linear Equations in Two Unknowns
    Review Exercises
  4. Functions of One Variable
    • Introduction
    • Definitions
    • Graphs of Functions
    • Linear Functions
    • Linear Models
    • Quadratic Functions
    • Polynomials
    • Power Functions
    • Exponential Functions
    • Logarithmic Functions
    Review Exercises
  5. Properties of Functions
    • Shifting Graphs
    • New Functions From Old
    • Inverse Functions
    • Graphs of Equations
    • Distance in The Plane
    • General Functions
    Review Exercises

II SINGLE-VARIABLE CALCULUS

  • Differentiation
    • Slopes of Curves
    • Tangents and Derivatives
    • Increasing and Decreasing Functions
    • Economic Applications
    • A Brief Introduction to Limits
    • Simple Rules for Differentiation
    • Sums, Products, and Quotients
    • The Chain Rule
    • Higher-Order Derivatives
    • Exponential Functions
    • Logarithmic Functions
    Review Exercises
  • Derivatives in Use
    • Implicit Differentiation
    • Economic Examples
    • The Inverse Function Theorem
    • Linear Approximations
    • Polynomial Approximations
    • Taylor's Formula
    • Elasticities
    • Continuity
    • More on Limits
    • The Intermediate Value Theorem
    • Infinite Sequences
    • LH�pitals Rule Review Exercises
    Review Exercises
  • Concave and Convex Functions
    • Intuition
    • Definitions
    • General Properties
    • First Derivative Tests
    • Second Derivative Tests
    • Inflection Points
    Review Exercises
  • Optimization
    • Extreme Points
    • Simple Tests for Extreme Points
    • Economic Examples
    • The Extreme and Mean Value Theorems
    • Further Economic Examples
    • Local Extreme Points
    Review Exercises
  • Integration
    • Indefinite Integrals
    • Area and Definite Integrals
    • Properties of Definite Integrals
    • Economic Applications
    • Integration by Parts
    • Integration by Substitution
    • Infinite Intervals of Integration
    Review Exercises
  • Topics in Finance and Dynamics
    • Interest Periods and Effective Rates
    • Continuous Compounding
    • Present Value
    • Geometric Series
    • Total Present Value
    • Mortgage Repayments
    • Internal Rate of Return
    • A Glimpse at Difference Equations
    • Essentials of Differential Equations
    • Separable and Linear Differential Equations
    Review Exercises III MULTI-VARIABLE ALGEBRA
  • Matrix Algebra
    • Matrices and Vectors
    • Systems of Linear Equations
    • Matrix Addition
    • Algebra of Vectors
    • Matrix Multiplication
    • Rules for Matrix Multiplication
    • The Transpose
    • Gaussian Elimination
    • Geometric Interpretation of Vectors
    • Lines and Planes
    Review Exercises
  • Determinants, Inverses, and Quadratic Forms
    • Determinants of Order 2
    • Determinants of Order 3
    • Determinants in General
    • Basic Rules for Determinants
    • Expansion by Cofactors
    • The Inverse of a Matrix
    • A General Formula for The Inverse
    • Cramer's Rule
    • The Leontief Mode
    • Eigenvalues and Eigenvectors
    • Diagonalization
    • Quadratic Forms
    Review Exercises

    IV MULTI-VARIABLE CALCULUS

  • Multivariable Functions
    • Functions of Two Variables
    • Partial Derivatives with Two Variables
    • Geometric Representation
    • Surfaces and Distance
    • Functions of More Variables
    • Partial Derivatives with More Variables
    • Convex Sets
    • Concave and Convex Functions
    • Economic Applications
    • Partial Elasticities
    Review Exercises
  • Partial Derivatives in Use
    • A Simple Chain Rule
    • Chain Rules for Many Variables
    • Implicit Differentiation Along A Level Curve
    • Level Surfaces
    • Elasticity of Substitution
    • Homogeneous Functions of Two Variables
    • Homogeneous and Homothetic Functions
    • Linear Approximations
    • Differentials
    • Systems of Equations
    • Differentiating Systems of Equations
    Review Exercises
  • Multiple Integrals
    • Double Integrals Over Finite Rectangles
    • Infinite Rectangles of Integration
    • Discontinuous Integrands and Other Extensions
    • Integration Over Many Variables
    Review Exercises

    V MULTI-VARIABLE OPTIMIZATION

  • Unconstrained Optimization
    • Two Choice Variables: Necessary Conditions
    • Two Choice Variables: Sufficient Conditions
    • Local Extreme Points
    • Linear Models with Quadratic Objectives
    • The Extreme Value Theorem
    • Functions of More Variables
    • Comparative Statics and the Envelope Theorem
    Review Exercises
  • Equality Constraints
    • The Lagrange Multiplier Method
    • Interpreting the Lagrange Multiplier
    • Multiple Solution Candidates
    • Why Does the Lagrange Multiplier Method Work?
    • Sufficient Conditions
    • Additional Variables and Constraints
    • Comparative Statics
    Review Exercises
  • Linear Programming
    • A Graphical Approach
    • Introduction to Duality Theory
    • The Duality Theorem
    • A General Economic Interpretation
    • Complementary Slackness
    Review Exercises
  • Nonlinear Programming
    • Two Variables and One Constraint
    • Many Variables and Inequality Constraints
    • Nonnegativity Constraints
    Review Exercises Appendix
  • Geometry
  • The Greek Alphabet
  • Bibliography
  • Solutions to the Exercises Index Publisher's Acknowledgments

Notă biografică

Knut Sydsaeter (1937-2012) was Emeritus Professor of Mathematics in the Economics Department at the University of Oslo, where he had taught mathematics to economists for over 45 years.
Peter Hammond is currently a Professor of Economics at the University of Warwick, where he moved in 2007 after becoming an Emeritus Professor at Stanford University. He has taught Mathematics for Economists at both universities, as well as the universities of Oxford and Essex.
Arne Strøm is Associate Professor Emeritus at the University of Oslo and has extensive experience in teaching mathematics to economists at the University Department of Economics.
Andrés Carvajal is an Associate Professor in the Department of Economics at the University of California, Davis.