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Mathematics for Economics and Business

Ian Jacques
Publisher: 
Prentice Hall
Publication Date: 
2010
Number of Pages: 
584
Format: 
Paperback
Edition: 
6
Price: 
110.00
ISBN: 
978-0273722168
Category: 
General
BLL Rating: 

The Basic Library List Committee suggests that undergraduate mathematics libraries consider this book for acquisition.

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Preface                                                                                                                     Introduction: Getting Started                                                                                 

Notes for students: how to use this book                                                                       

Getting started with MyMathLab

Getting started with Excel                                                                                           

Getting started with Maple                                                                                          

1   Linear Equations                                                                                                   

1.1        Introduction to algebra

1.2        Further algebra

1.3        Graphs of linear equations                                                                             

1.4        Algebraic solution of simultaneous linear equations                                          

1.5        Supply and demand analysis                                                                           

1.6        Transposition of formulae                                                                           

1.7        National income determination                                                                       

2   Non-linear Equations                                                                                           

2.1        Quadratic functions   

2.2        Revenue, cost and profit  

2.3        Indices and logarithms     

2.4        The exponential and natural logarithm functions                                             

3   Mathematics of Finance                                                                                      

3.1        Percentages                                                                                                

3.2        Compound interest                                                                                      

3.3        Geometric series                                                                                         

3.4        Investment appraisal                                                                                  

4   Differentiation                                                                                                      

4.1        The derivative of a function                                                                        

4.2        Rules of differentiation                                                                              

4.3        Marginal functions                                                                                       

4.4        Further rules of differentiation                                                                      

4.5        Elasticity                                                                                                     

4.6        Optimization of economic functions                                                              

4.7        Further optimization of economic functions                                                    

4.8        The derivative of the exponential and natural logarithm functions                    

5   Partial Differentiation                                                                                          

5.1        Functions of several variables                                                                

5.2        Partial elasticity and marginal functions                                                         

5.3        Comparative statics                                                                                     

5.4        Unconstrained optimization                                                                          

5.5        Constrained optimization                                                                              

5.6        Lagrange multipliers                                                                                    

6   Integration                                                                                                           

6.1        Indefinite integration                                                                                    

6.2        Definite integration                                                                                      

7   Matrices                                                                                                              

7.1        Basic matrix operations                                                                               

7.2        Matrix inversion                                                                                          

7.3        Cramer’s rule                                                                                            

7.4        Input–output analysis                                                                                  

8  Linear Prgamming

8.1        Graphical solution of linear programming problems                                      

8.2        Applications of linear programming                                                               

9   Dynamics                                                                                                             

9.1        Difference equations                                                                              

9.2        Differential equations                                                                                  

Appendix 1     Differentiation from First Principles        

Appendix 2     Implicit Differentiation                                                                     

Appendix 3     Hessians                                                                                      

Solutions to Problems                                                                                        

Glossary                                                                                                               

Index