Lectures on the Mathematical Method in Analytical Economics (eBook)

Jacob Theodore Schwartz (1930–2009) taught Mathematics and Computer Science at New York University's Courant Institute, where he founded the Computer Science Department and served as its Chairman from 1969–77. From 1986–89 he was the Director of the Defense Advanced Resource Projects Agency's Information and Science Technology Office. He wrote 18 books and more than 100 mathematical papers and technical reports. Dover also publishes his Introduction to Matrices and Vectors and Relativity in Illustrations.

A. The Leontief Model and the Technological Basis of Production 1. Introduction and Outline 2. Basic Mathematics of the Input-Output Model 3. Theory of Prices in the Open Leontief Model. Some Statistics 4. Concluding Discussion of the Leontief Model B. Theory of Business Cycles 5. Business Cycles—Introductory Considerations 6. Mathematical Analysis of a Cycle-Theory Model. Expansive and Depressive Cases 7. Consumption in the Cycle-Theory Model. Say's Law 8. General Reflections on Keynesian Economics. The Numerical Value of the Multiplier 9. A Modified Cycle-Theory Model 10. Additional Discussion of Cycle Theory 11. A Model of Liquidity Preference 12. A Model of Liquidity Preference, Continued  C. Critique of the Neoclassical Equilibrium Theory. Keynesian Equilibria 13. Neoclassical or Walrasian Equilibrium. Introduction 14. Walrasian Equilibrium in the Case of a Single Labor Sector 15. Proof of the Existence of Walrasian Equilibrium 16. An Equilibrium Model Combining Neoclassical and Keynesian Features 17. Analysis of a Neoclassical Contention 18. Additional General Reflections on Keynesian Economics. The Propensity to Consume Index