Download Citation: Brock, W. A., & Malliaris, A. G. (1989). Differential Equations, Stability, and Chaos in Dynamic Economics. Advanced Textbooks in Economics, Volume 27. North-Holland: Elsevier Science Publishers B.V. Chapter Summary: Chapter 1: Basic Properties of Differential Equations This chapter...
Download Citation: Arrowsmith, D. K., & Place, C. M. (1992). Dynamical Systems: Differential equations, maps, and chaotic behaviour. Springer Netherlands. Chapter Summary: Chapter 1: Introduction Introduces the basic concepts of dynamical systems including existence and uniqueness of solutions, geometrical representation,...
Download Citation: Casella, G., & Berger, R. L. (2001). Statistical Inference. Duxbury Press. Chapter Summary: Chapter 1: Probability Theory Begins with the basics of probability theory, including definitions and properties of probability spaces, random variables, and common distribution functions. Chapter...
Download Citation: Mavrakakis, M. C., & Penzer, J. (2021). Probability and Statistical Inference: From Basic Principles to Advanced Models. Boca Raton, FL: Chapman and Hall/CRC. Chapter Summary: Chapter 1: Introduction Introduces the fundamental ideas of statistical inference, emphasizing the importance...
Download Citation: Rudin, W. (2024). Principles of Mathematical Analysis (3rd ed.). New York: McGraw-Hill, Inc. Chapter Summary: Chapter 1: The Real and Complex Number Systems Introduces real and complex numbers, focusing on their properties, operations, and the concept of ordered...
Download Citation: Wrede, R. (2010). Advanced Calculus (3rd ed.). Schaum’s Outline Series. McGraw-Hill. Chapter Summary: Chapter 1: Numbers Introduction to sets, real numbers, and the fundamental operations and properties within the real number system. It covers topics like decimal representation,...
Download Citation: Ostaszewski, A. (2009). Advanced Mathematical Methods (2nd ed.). Cambridge: Cambridge University Press. Chapter Summary: I. Linear Algebra: Chapters 1-9 delve into core concepts of vector spaces, including revisions of basic principles, matrices, spectral theory, and various forms of...
Download Citation: Downey, A. B. (2015). Think Python: How to Think Like a Computer Scientist (2nd ed.). O’Reilly Media. Chapter Summary: Chapter 1: The Way of the Program Introduces what a program is and basic concepts like debugging. It emphasizes...
Download Citation: Guttag, J. V. (2021). Introduction to Computation and Programming Using Python: With Application to Computational Modeling and Understanding Data (3rd ed.). The MIT Press. Chapter Summary: Chapter 1: Getting Started Introduces the basics of computation, the distinction between...
Download Citation: Anton, H. (2019). Elementary Linear Algebra (12th ed.). John Wiley & Sons. Chapter Summary: Chapter 1: Systems of Linear Equations and Matrices Introduces systems of linear equations and their representations using matrices. Key methods such as Gaussian elimination...