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Mirakhor, Krichene:

Introductory Mathematics and Statistics for Islamic Finance, + Website

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Table Of Contents

Chapter 1: Elementary Mathematics

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Chapter 2: Functions and Models

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Chapter 3: Differentiation and Integration of Functions

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Chapter 4: Partial Derivatives

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Chapter 5: Logarithm, Exponential, and Trigonometric Functions

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Chapter 6: Linear Algebra

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Chapter 7: Differential Equations

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Chapter 8: Difference Equations

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Chapter 9: Optimization Theory

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Chapter 10: Linear Programming

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Chapter 11: Introduction to Probability Theory: Axioms and Distributions

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Chapter 12: Probability Distributions and Moment Generating Functions

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Chapter 13: Sampling and Hypothesis Testing Theory

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Chapter 14: Regression Analysis

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Chapter 15: Time Series Analysis

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Chapter 16: Nonstationary Time Series and Unit-Root Testing

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Chapter 17: Vector Autoregressive Analysis (VAR)

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Chapter 18: Co-Integration: Theory and Applications

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Chapter 19: Modeling Volatility: ARCH-GARCH Models

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Chapter 20: Asset Pricing under Uncertainty

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Chapter 21: The Consumption-Based Pricing Model

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Chapter 22: Brownian Motion, Risk-Neutral Processes, and the Black-Scholes Model

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