Essential Mathematics for Economic Analysis (häftad)
Häftad (Paperback)
Antal sidor
Hammond, Peter / Strom, Arne / Carvajal, Andrs
234 x 184 x 31 mm
1383 g
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Essential Mathematics for Economic Analysis (häftad)

Essential Mathematics for Economic Analysis

Häftad Engelska, 2016-07-19
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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.

Andrs Carvajal is an Associate Professor in the Department of Economics at University of California, Davis.
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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 Newtons 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 Newtons method

7. 11 Infinite sequences

7. 12 L'Hpital'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