Mathematical models of economic growth and crises

Intro -- Contents -- List of Figures -- Chapter 1 -- Introduction -- Chapter 2 -- Savings and Investment -- 2.1. Preface -- 2.2. Model of Economic Growth -- 2.2.1. Introduction -- 2.2.2. Model of Economy at the Undisturbed State -- 2.2.3. Model of One-Time Investment -- 2.2.4. Model of Constant-Rate Investment -- 2.2.5. Model of Constant-Accelerated Investment -- 2.2.6. Model of Exponential Investment -- 2.2.7. Conclusion -- 2.3. Growth Factors for Few Types of Investments -- 2.3.1. Introduction -- 2.3.2. Economic Growth Induced by Investments -- 2.3.2.1. Growth for Constant-Rate Investments -- 2.3.2.2. Growth for Constant-Accelerated Investments -- 2.3.3. Maximal Growth Rates Induced by Investments -- 2.3.3.1. Maximum Growth for Constant-Rate Investments -- 2.3.3.2. Maximum Growth for Constant-Accelerated Investments -- 2.3.4. Conclusion -- Chapter 3 -- Economic Trends -- 3.1. Preface -- 3.2. Model of Credit Expansion -- 3.2.1. Introduction -- 3.2.2. Model of Economy at the Undisturbed State -- 3.2.3. Model of Constant-Rate Credit Expansion -- 3.2.4. Economic Implications -- 3.2.5. Conclusion -- 3.3. Economic Growth and Debt -- 3.3.1. Introduction -- 3.3.2. Model of Economy at the Undisturbed State -- 3.3.3. Model of Constant-Rate Debt and Constant- Rate Investment -- 3.3.4. Model of Constant-Rate Debt and Constant-Acceleration Investment -- 3.3.5. Economic Implications -- 3.3.6. Conclusion -- 3.4. Model of Economic Trend -- 3.4.1. Introduction -- 3.4.2. Outline of the Mathematical Apparatus -- 3.4.3. Changes of the Trend Line -- 3.4.4. Graphical Presentation and Implications -- 3.4.5. Conclusion -- Chapter 4 -- Models of the Crises -- 4.1. Preface -- 4.2. Model of the Financial Crisis -- 4.2.1. Introduction -- 4.2.2. Model of Interactions between Real Market and Financial Market -- 4.2.2.1. Real Product Market -- 4.2.2.2. Financial Market

2.3.2.2. Growth for Constant-Accelerated Investments2.3.3. Maximal Growth Rates Induced by Investments; 2.3.3.1. Maximum Growth for Constant-Rate Investments; 2.3.3.2. Maximum Growth for Constant-Accelerated Investments; 2.3.4. Conclusion; Chapter 3; Economic Trends; 3.1. Preface; 3.2. Model of Credit Expansion; 3.2.1. Introduction; 3.2.2. Model of Economy at the Undisturbed State; 3.2.3. Model of Constant-Rate Credit Expansion; 3.2.4. Economic Implications; 3.2.5. Conclusion; 3.3. Economic Growth and Debt; 3.3.1. Introduction; 3.3.2. Model of Economy at the Undisturbed State