Description
Taylor & Francis Ltd Mathematics For Economics 2015 Edition by James Bergin
Mathematics for Economists with Applications provides detailed coverage of the mathematical techniques essential for undergraduate and introductory graduate work in economics, business and finance. Beginning with linear algebra and matrix theory, the book develops the techniques of univariate and multivariate calculus used in economics, proceeding to discuss the theory of optimization in detail. Integration, differential and difference equations are considered in subsequent chapters. Uniquely, the book also features a discussion of statistics and probability, including a study of the key distributions and their role in hypothesis testing. Throughout the text, large numbers of new and insightful examples and an extensive use of graphs explain and motivate the material. Each chapter develops from an elementary level and builds to more advanced topics, providing logical progression for the student, and enabling instructors to prescribe material to the required level of the course.With coverage substantial in depth as well as breadth, and including a companion website at www.routledge.com/cw/bergin, containing exercises related to the worked examples from each chapter of the book, Mathematics for Economists with Applications contains everything needed to understand and apply the mathematical methods and practices fundamental to the study of economics. 1. Introduction2. Matrices and Systems of Equations3. Linear Algebra: Applications4. Linear Programming5. Functions of One Variable6. Functions of One Variable: Applications7. Systems of Equations, Differentials and Derivatives8. Taylor Series9. Vectors10. Quadratic Forms11. Multivariate Optimization12. Equality Constrained Optimization13. Inequality Constrained Optimization14. Integration15. Eigenvalues and Eigenvectors16. Differential Equations17. Linear Difference Equations18. Probability and Distributions19. Estimation and Hypothesis Testing