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Beschreibung
This book, now in its fourth edition, is a self-contained treatment of all the mathematics needed by undergraduate and masters-level students of economics: calculus, matrix algebra, probability, optimisation and dynamics. The emphasis throughout is on intuitive argument and problem-solving, and all methods are illustrated by well-chosen examples, exercises and problems selected from central areas of modern economic analysis.
Clear, systematic and building up gently from a very low level, the book can be used in a variety of course formats for students with or without prior knowledge of calculus, for reference and for self-study. The last two chapters provide an introduction to the rigorous mathematical analysis used in graduate-level economics, and two chapters on probability theory, new to this edition, provide the essential mathematical background for upper-level courses on economic theory, econometrics and finance.
Answers to all exercises and complete solutions to all problems are available online from a regularly updated website.
Clear, systematic and building up gently from a very low level, the book can be used in a variety of course formats for students with or without prior knowledge of calculus, for reference and for self-study. The last two chapters provide an introduction to the rigorous mathematical analysis used in graduate-level economics, and two chapters on probability theory, new to this edition, provide the essential mathematical background for upper-level courses on economic theory, econometrics and finance.
Answers to all exercises and complete solutions to all problems are available online from a regularly updated website.
This book, now in its fourth edition, is a self-contained treatment of all the mathematics needed by undergraduate and masters-level students of economics: calculus, matrix algebra, probability, optimisation and dynamics. The emphasis throughout is on intuitive argument and problem-solving, and all methods are illustrated by well-chosen examples, exercises and problems selected from central areas of modern economic analysis.
Clear, systematic and building up gently from a very low level, the book can be used in a variety of course formats for students with or without prior knowledge of calculus, for reference and for self-study. The last two chapters provide an introduction to the rigorous mathematical analysis used in graduate-level economics, and two chapters on probability theory, new to this edition, provide the essential mathematical background for upper-level courses on economic theory, econometrics and finance.
Answers to all exercises and complete solutions to all problems are available online from a regularly updated website.
Clear, systematic and building up gently from a very low level, the book can be used in a variety of course formats for students with or without prior knowledge of calculus, for reference and for self-study. The last two chapters provide an introduction to the rigorous mathematical analysis used in graduate-level economics, and two chapters on probability theory, new to this edition, provide the essential mathematical background for upper-level courses on economic theory, econometrics and finance.
Answers to all exercises and complete solutions to all problems are available online from a regularly updated website.
Über den Autor
Malcolm Pemberton is Senior Lecturer in Economics at University College London
Nicholas Rau is Honorary Senior Lecturer in Economics at University College London
Nicholas Rau is Honorary Senior Lecturer in Economics at University College London
Inhaltsverzeichnis
1. Linear equations
2. Linear inequalities
3. Sets and functions
4. Quadratics, indices and logarithms
5. Sequences, series and limits
6. Introduction to differentiation
7. Methods of differentiation
8. Maxima and minima
9. Exponential and logarithmic functions
10. Approximations
11. Matrix algebra
12. Systems of linear equations
13. Determinants and quadratic forms
14. Functions of several variables
15. Implicit relations
16. Optimisation with several variables
17. Principles of constrained optimisation
18. Further topics in constrained optimisation
19. Integration
20. Aspects of integral calculus
21. Probability
22. Expectation
23. Introduction to dynamics
24. The circular functions
25. Complex numbers
26. Further dynamics
27. Eigenvalues and eigenvectors
28. Dynamic systems
29. Dynamic optimisation in discrete time
30. Dynamic optimisation in continuous time
31. Introduction to analysis
32. Metric spaces and existence theorems
Notes on further reading
Index
2. Linear inequalities
3. Sets and functions
4. Quadratics, indices and logarithms
5. Sequences, series and limits
6. Introduction to differentiation
7. Methods of differentiation
8. Maxima and minima
9. Exponential and logarithmic functions
10. Approximations
11. Matrix algebra
12. Systems of linear equations
13. Determinants and quadratic forms
14. Functions of several variables
15. Implicit relations
16. Optimisation with several variables
17. Principles of constrained optimisation
18. Further topics in constrained optimisation
19. Integration
20. Aspects of integral calculus
21. Probability
22. Expectation
23. Introduction to dynamics
24. The circular functions
25. Complex numbers
26. Further dynamics
27. Eigenvalues and eigenvectors
28. Dynamic systems
29. Dynamic optimisation in discrete time
30. Dynamic optimisation in continuous time
31. Introduction to analysis
32. Metric spaces and existence theorems
Notes on further reading
Index
Details
Erscheinungsjahr: | 2015 |
---|---|
Fachbereich: | Allgemeines |
Genre: | Mathematik |
Rubrik: | Naturwissenschaften & Technik |
Medium: | Taschenbuch |
Inhalt: | Kartoniert / Broschiert |
ISBN-13: | 9781784991487 |
ISBN-10: | 1784991481 |
Sprache: | Englisch |
Einband: | Kartoniert / Broschiert |
Autor: |
Pemberton, Malcolm
Rau, Nicholas |
Auflage: | 4th Revised edition |
Hersteller: | Manchester University Press |
Maße: | 246 x 187 x 53 mm |
Von/Mit: | Malcolm Pemberton (u. a.) |
Erscheinungsdatum: | 01.09.2015 |
Gewicht: | 1,47 kg |
Über den Autor
Malcolm Pemberton is Senior Lecturer in Economics at University College London
Nicholas Rau is Honorary Senior Lecturer in Economics at University College London
Nicholas Rau is Honorary Senior Lecturer in Economics at University College London
Inhaltsverzeichnis
1. Linear equations
2. Linear inequalities
3. Sets and functions
4. Quadratics, indices and logarithms
5. Sequences, series and limits
6. Introduction to differentiation
7. Methods of differentiation
8. Maxima and minima
9. Exponential and logarithmic functions
10. Approximations
11. Matrix algebra
12. Systems of linear equations
13. Determinants and quadratic forms
14. Functions of several variables
15. Implicit relations
16. Optimisation with several variables
17. Principles of constrained optimisation
18. Further topics in constrained optimisation
19. Integration
20. Aspects of integral calculus
21. Probability
22. Expectation
23. Introduction to dynamics
24. The circular functions
25. Complex numbers
26. Further dynamics
27. Eigenvalues and eigenvectors
28. Dynamic systems
29. Dynamic optimisation in discrete time
30. Dynamic optimisation in continuous time
31. Introduction to analysis
32. Metric spaces and existence theorems
Notes on further reading
Index
2. Linear inequalities
3. Sets and functions
4. Quadratics, indices and logarithms
5. Sequences, series and limits
6. Introduction to differentiation
7. Methods of differentiation
8. Maxima and minima
9. Exponential and logarithmic functions
10. Approximations
11. Matrix algebra
12. Systems of linear equations
13. Determinants and quadratic forms
14. Functions of several variables
15. Implicit relations
16. Optimisation with several variables
17. Principles of constrained optimisation
18. Further topics in constrained optimisation
19. Integration
20. Aspects of integral calculus
21. Probability
22. Expectation
23. Introduction to dynamics
24. The circular functions
25. Complex numbers
26. Further dynamics
27. Eigenvalues and eigenvectors
28. Dynamic systems
29. Dynamic optimisation in discrete time
30. Dynamic optimisation in continuous time
31. Introduction to analysis
32. Metric spaces and existence theorems
Notes on further reading
Index
Details
Erscheinungsjahr: | 2015 |
---|---|
Fachbereich: | Allgemeines |
Genre: | Mathematik |
Rubrik: | Naturwissenschaften & Technik |
Medium: | Taschenbuch |
Inhalt: | Kartoniert / Broschiert |
ISBN-13: | 9781784991487 |
ISBN-10: | 1784991481 |
Sprache: | Englisch |
Einband: | Kartoniert / Broschiert |
Autor: |
Pemberton, Malcolm
Rau, Nicholas |
Auflage: | 4th Revised edition |
Hersteller: | Manchester University Press |
Maße: | 246 x 187 x 53 mm |
Von/Mit: | Malcolm Pemberton (u. a.) |
Erscheinungsdatum: | 01.09.2015 |
Gewicht: | 1,47 kg |
Warnhinweis