Essential Mathematics for Economic Analysis
5th Edition
Published on 19. July 2016
Book
Paperback/Softback
832 pages
978-1-292-07461-0 (ISBN)
Description
Were you looking for the book with access to MyMathLab Global? This product is the book alone and does NOT come with access to MyMathLab Global. Buy Essential Mathematics for Economic Analysis, 5th edition, with MyMathLab Global access card (ISBN 9781292074719) if you need access to MyMathLab Global as well, and save money on this resource. You will also need a course ID from your instructor to access MyMathLab Global.
ESSENTIAL MATHEMATICS FOR ECONOMIC ANALYSIS
Fifth Edition
An extensive introduction to all the mathematical tools an economist needs is provided in this worldwide bestseller.
"The scope of the book is to be applauded" Dr Michael Reynolds, University of Bradford
"Excellent book on calculus with several economic applications" Mauro Bambi, University of York
New to this edition:
The introductory chapters have been restructured to more logically fit with teaching.
Several new exercises have been introduced, as well as fuller solutions to existing ones.
More coverage of the history of mathematical and economic ideas has been added, as well as of the scientists who developed them.
New example based on the 2014 UK reform of housing taxation illustrating how a discontinuous function can have significant economic consequences.
The associated material in MyMathLab has been expanded and improved.
Knut Sydsaeter was Emeritus Professor of Mathematics in the Economics Department at the University of Oslo, where he had taught mathematics for 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 at the Universities of Oxford and Essex.
Arne Strom is Associate Professor Emeritus at the University of Oslo and has extensive experience in teaching mathematics for economists in the Department of Economics there.
Andres Carvajal is an Associate Professor in the Department of Economics at University of California, Davis.
ESSENTIAL MATHEMATICS FOR ECONOMIC ANALYSIS
Fifth Edition
An extensive introduction to all the mathematical tools an economist needs is provided in this worldwide bestseller.
"The scope of the book is to be applauded" Dr Michael Reynolds, University of Bradford
"Excellent book on calculus with several economic applications" Mauro Bambi, University of York
New to this edition:
The introductory chapters have been restructured to more logically fit with teaching.
Several new exercises have been introduced, as well as fuller solutions to existing ones.
More coverage of the history of mathematical and economic ideas has been added, as well as of the scientists who developed them.
New example based on the 2014 UK reform of housing taxation illustrating how a discontinuous function can have significant economic consequences.
The associated material in MyMathLab has been expanded and improved.
Knut Sydsaeter was Emeritus Professor of Mathematics in the Economics Department at the University of Oslo, where he had taught mathematics for 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 at the Universities of Oxford and Essex.
Arne Strom is Associate Professor Emeritus at the University of Oslo and has extensive experience in teaching mathematics for economists in the Department of Economics there.
Andres Carvajal is an Associate Professor in the Department of Economics at University of California, Davis.
More details
Edition
5th edition
Language
English
Place of publication
Harlow
United Kingdom
Target group
College/higher education
Dimensions
Height: 244 mm
Width: 190 mm
Thickness: 26 mm
Weight
1280 gr
ISBN-13
978-1-292-07461-0 (9781292074610)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
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Essential Mathematics for Economic Analysis
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Content
Sydsaeter Essential Mathematics for Economic Analysis - 5e TOC
Ch01: Essentials of Logic and Set Theory
1.1 Essentials of set theory
1.2 Some aspects of logic
1.3 Mathematical proofs
1.4 Mathematical induction
Ch02: Algebra
2.1 The real numbers
2.2 Integer powers
2.3 Rules of algebra
2.4 Fractions
2.5 Fractional powers
2.6 Inequalities
2.7 Intervals and absolute values
2.8 Summation
2.9 Rules for sums
2. 10 Newton's binomial formula
2. 11 Double sums
Ch03: Solving Equations
3.1 Solving equations
3.2 Equations and their parameters
3.3 Quadratic equations
3.4 Nonlinear equations
3.5 Using implication arrows
3.6 Two linear equations in two unknowns
Ch04: Functions of One Variable
4.1 Introduction
4.2 Basic definitions
4.3 Graphs of functions
4.4 Linear functions
4.5 Linear models
4.6 Quadratic functions
4.7 Polynomials
4.8 Power functions
4.9 Exponential functions
4. 10 Logarithmic functions
Ch05: Properties of Functions
5.1 Shifting graphs
5.2 New functions from old
5.3 Inverse functions
5.4 Graphs of equations
5.5 Distance in the plane
5.6 General functions
Ch06: Differentiation
6.1 Slopes of curves
6.2 Tangents and derivatives
6.3 Increasing and decreasing functions
6.4 Rates of change
6.5 A dash of limits
6.6 Simple rules for differentiation
6.7 Sums, products and quotients
6.8 The Chain Rule
6.9 Higher-order derivatives
6. 10 Exponential functions
6. 11 Logarithmic functions
Ch07: Derivatives in Use
7.1 Implicit differentiation
7.2 Economic examples
7.3 Differentiating the inverse
7.4 Linear approximations
7.5 Polynomial approximations
7.6 Taylor's formula
7.7 Elasticities
7.8 Continuity
7.9 More on limits
7. 10 The intermediate value theorem and Newton's method
7. 11 Infinite sequences
7. 12 L'Hopital's Rule
Ch08: Single-Variable Optimization
8.1 Extreme points
8.2 Simple tests for extreme points
8.3 Economic examples
8.4 The Extreme Value Theorem
8.5 Further economic examples
8.6 Local extreme points
8.7 Inflection points
Ch09: Integration
9.1 Indefinite integrals
9.2 Area and definite integrals
9.3 Properties of definite integrals
9.4 Economic applications
9.5 Integration by parts
9.6 Integration by substitution
9.7 Infinite intervals of integration
9.8 A glimpse at differential equations
9.9 Separable and linear differential equations
Ch10: Topics in Financial Mathematics
10.1 Interest periods and effective rates
10.2 Continuous compounding
10.3 Present value
10.4 Geometric series
10.5 Total present value
10.6 Mortgage repayments
10.7 Internal rate of return
10.8 A glimpse at difference equations
Ch11: Functions of Many Variables
11.1 Functions of two variables
11.2 Partial derivatives with two variables
11.3 Geometric representation
11.4 Surfaces and distance
11.5 Functions of more variables
11.6 Partial derivatives with more variables
11.7 Economic applications
11.8 Partial elasticities
Ch12: Tools for Comparative Statics
12.1 A simple chain rule
12.2 Chain rules for many variables
12.3 Implicit differentiation along a level curve
12.4 More general cases
12.5 Elasticity of substitution
12.6 Homogeneous functions of two variables
12.7 Homogeneous and homothetic functions
12.8 Linear approximations
12.9 Differentials
12. 10 Systems of equations
12. 11 Differentiating systems of equations
Ch13: Multivariable Optimization
13.1 Two variables: necessary conditions
13.2 Two variables: sufficient conditions
13.3 Local extreme points
13.4 Linear models with quadratic objectives
13.5 The Extreme Value Theorem
13.6 The general case
13.7 Comparative statics and the envelope theorem
Ch14: Constrained Optimization
14.1 The Lagrange Multiplier Method
14.2 Interpreting the Lagrange multiplier
14.3 Multiple solution candidates
14.4 Why the Lagrange method works
14.5 Sufficient conditions
14.6 Additional variables and constraints
14.7 Comparative statics
14.8 Nonlinear programming: a simple case
14.9 Multiple inequality constraints
14. 10 Nonnegativity constraints
Ch15: Matrix and Vector Algebra
15.1 Systems of linear equations
15.2 Matrices and matrix operations
15.3 Matrix multiplication
15.4 Rules for matrix multiplication
15.5 The transpose
15.6 Gaussian elimination
15.7 Vectors
15.8 Geometric interpretation of vectors
15.9 Lines and planes
Ch16: Determinants and Inverse Matrices
16.1 Determinants of order 2
16.2 Determinants of order 3
16.3 Determinants in general
16.4 Basic rules for determinants
16.5 Expansion by cofactors
16.6 The inverse of a matrix
16.7 A general formula for the inverse
16.8 Cramer's Rule
16.9 The Leontief Model
Ch17: Linear Programming
17.1 A graphical approach
17.2 Introduction to Duality Theory
17.3 The Duality Theorem
17.4 A general economic interpretation
17.5 Complementary slackness
Ch01: Essentials of Logic and Set Theory
1.1 Essentials of set theory
1.2 Some aspects of logic
1.3 Mathematical proofs
1.4 Mathematical induction
Ch02: Algebra
2.1 The real numbers
2.2 Integer powers
2.3 Rules of algebra
2.4 Fractions
2.5 Fractional powers
2.6 Inequalities
2.7 Intervals and absolute values
2.8 Summation
2.9 Rules for sums
2. 10 Newton's binomial formula
2. 11 Double sums
Ch03: Solving Equations
3.1 Solving equations
3.2 Equations and their parameters
3.3 Quadratic equations
3.4 Nonlinear equations
3.5 Using implication arrows
3.6 Two linear equations in two unknowns
Ch04: Functions of One Variable
4.1 Introduction
4.2 Basic definitions
4.3 Graphs of functions
4.4 Linear functions
4.5 Linear models
4.6 Quadratic functions
4.7 Polynomials
4.8 Power functions
4.9 Exponential functions
4. 10 Logarithmic functions
Ch05: Properties of Functions
5.1 Shifting graphs
5.2 New functions from old
5.3 Inverse functions
5.4 Graphs of equations
5.5 Distance in the plane
5.6 General functions
Ch06: Differentiation
6.1 Slopes of curves
6.2 Tangents and derivatives
6.3 Increasing and decreasing functions
6.4 Rates of change
6.5 A dash of limits
6.6 Simple rules for differentiation
6.7 Sums, products and quotients
6.8 The Chain Rule
6.9 Higher-order derivatives
6. 10 Exponential functions
6. 11 Logarithmic functions
Ch07: Derivatives in Use
7.1 Implicit differentiation
7.2 Economic examples
7.3 Differentiating the inverse
7.4 Linear approximations
7.5 Polynomial approximations
7.6 Taylor's formula
7.7 Elasticities
7.8 Continuity
7.9 More on limits
7. 10 The intermediate value theorem and Newton's method
7. 11 Infinite sequences
7. 12 L'Hopital's Rule
Ch08: Single-Variable Optimization
8.1 Extreme points
8.2 Simple tests for extreme points
8.3 Economic examples
8.4 The Extreme Value Theorem
8.5 Further economic examples
8.6 Local extreme points
8.7 Inflection points
Ch09: Integration
9.1 Indefinite integrals
9.2 Area and definite integrals
9.3 Properties of definite integrals
9.4 Economic applications
9.5 Integration by parts
9.6 Integration by substitution
9.7 Infinite intervals of integration
9.8 A glimpse at differential equations
9.9 Separable and linear differential equations
Ch10: Topics in Financial Mathematics
10.1 Interest periods and effective rates
10.2 Continuous compounding
10.3 Present value
10.4 Geometric series
10.5 Total present value
10.6 Mortgage repayments
10.7 Internal rate of return
10.8 A glimpse at difference equations
Ch11: Functions of Many Variables
11.1 Functions of two variables
11.2 Partial derivatives with two variables
11.3 Geometric representation
11.4 Surfaces and distance
11.5 Functions of more variables
11.6 Partial derivatives with more variables
11.7 Economic applications
11.8 Partial elasticities
Ch12: Tools for Comparative Statics
12.1 A simple chain rule
12.2 Chain rules for many variables
12.3 Implicit differentiation along a level curve
12.4 More general cases
12.5 Elasticity of substitution
12.6 Homogeneous functions of two variables
12.7 Homogeneous and homothetic functions
12.8 Linear approximations
12.9 Differentials
12. 10 Systems of equations
12. 11 Differentiating systems of equations
Ch13: Multivariable Optimization
13.1 Two variables: necessary conditions
13.2 Two variables: sufficient conditions
13.3 Local extreme points
13.4 Linear models with quadratic objectives
13.5 The Extreme Value Theorem
13.6 The general case
13.7 Comparative statics and the envelope theorem
Ch14: Constrained Optimization
14.1 The Lagrange Multiplier Method
14.2 Interpreting the Lagrange multiplier
14.3 Multiple solution candidates
14.4 Why the Lagrange method works
14.5 Sufficient conditions
14.6 Additional variables and constraints
14.7 Comparative statics
14.8 Nonlinear programming: a simple case
14.9 Multiple inequality constraints
14. 10 Nonnegativity constraints
Ch15: Matrix and Vector Algebra
15.1 Systems of linear equations
15.2 Matrices and matrix operations
15.3 Matrix multiplication
15.4 Rules for matrix multiplication
15.5 The transpose
15.6 Gaussian elimination
15.7 Vectors
15.8 Geometric interpretation of vectors
15.9 Lines and planes
Ch16: Determinants and Inverse Matrices
16.1 Determinants of order 2
16.2 Determinants of order 3
16.3 Determinants in general
16.4 Basic rules for determinants
16.5 Expansion by cofactors
16.6 The inverse of a matrix
16.7 A general formula for the inverse
16.8 Cramer's Rule
16.9 The Leontief Model
Ch17: Linear Programming
17.1 A graphical approach
17.2 Introduction to Duality Theory
17.3 The Duality Theorem
17.4 A general economic interpretation
17.5 Complementary slackness