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Mathematics for economists with applications / James Bergin.

By: Material type: TextTextPublication details: London : Routledge, 2015.Description: xxii, 690 p. : illustrations ; 26 cmISBN:
  • 9780415638289 (pbk.)
Subject(s): DDC classification:
  • 510 23 B498
Contents:
1. Introduction -- 2. Matrices and Systems of Equations -- 3. Linear Algebra: Applications -- 4. Linear Programming -- 5. Functions of One Variable -- 6. Functions of One Variable: Applications -- 7. Systems of Equations, Differentials and Derivatives -- 8. Taylor Series -- 9. Vectors -- 10. Quadratic Forms -- 11. Multivariate Optimization -- 12. Equality Constrained Optimization -- 13. Inequality Constrained Optimization -- 14. Integration -- 15. Eigenvalues and Eigenvectors -- 16. Differential Equations -- 17. Linear Difference Equations-- 18. Probability and Distributions -- 19. Estimation and Hypothesis Testing-- Bibliography-- Index.
Summary: 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.
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Holdings
Item type Current library Call number Status Date due Barcode Item holds
Books ISI Library, Kolkata 510 B498 (Browse shelf(Opens below)) Available 136518
Total holds: 0

Includes bibliographical references and index.

1. Introduction --
2. Matrices and Systems of Equations --
3. Linear Algebra: Applications --
4. Linear Programming --
5. Functions of One Variable --
6. Functions of One Variable: Applications --
7. Systems of Equations, Differentials and Derivatives --
8. Taylor Series --
9. Vectors --
10. Quadratic Forms --
11. Multivariate Optimization --
12. Equality Constrained Optimization --
13. Inequality Constrained Optimization --
14. Integration --
15. Eigenvalues and Eigenvectors --
16. Differential Equations --
17. Linear Difference Equations--
18. Probability and Distributions --
19. Estimation and Hypothesis Testing--
Bibliography--
Index.

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.

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