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Informationen zum Autor Malcolm Pemberton is Senior Lecturer in Economics at University College London Nicholas Rau is Honorary Senior Lecturer in Economics at University College London Klappentext 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. Zusammenfassung An updated edition of the essential textbook for students of economics at every level! with comprehensive -- . Inhaltsverzeichnis 1. Linear equations2. Linear inequalities3. Sets and functions4. Quadratics, indices and logarithms5. Sequences, series and limits6. Introduction to differentiation7. Methods of differentiation8. Maxima and minima9. Exponential and logarithmic functions10. Approximations11. Matrix algebra12. Systems of linear equations13. Determinants and quadratic forms14. Functions of several variables15. Implicit relations16. Optimisation with several variables17. Principles of constrained optimisation18. Further topics in constrained optimisation19. Integration20. Aspects of integral calculus21. Probability22. Expectation23. Introduction to dynamics24. The circular functions25. Complex numbers26. Further dynamics27. Eigenvalues and eigenvectors28. Dynamic systems29. Dynamic optimisation in discrete time30. Dynamic optimisation in continuous time31. Introduction to analysis32. Metric spaces and existence theoremsNotes on further readingIndex...
