Download Citation: Pinter, C. C. (2010). A Book of Abstract Algebra. Dover Publications. Chapter Summary: Chapter 1: Why Abstract Algebra? Introduces the historical evolution of algebra and differentiates between classical and modern algebra. Discusses the role of abstraction in algebra...
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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...
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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...
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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...
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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...
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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...
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Download Citation: Cormen, T. H., Leiserson, C. E., Rivest, R. L., & Stein, C. (2022). Introduction to Algorithms (4th ed.). The MIT Press. Chapter Summary: Part I: Foundations Chapter 1: The Role of Algorithms in Computing Introduces the concept of...
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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...
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Download Citation: Bryant, V. (1990). Yet Another Introduction to Analysis. Cambridge University Press. Chapter Summary of "Yet Another Introduction to Analysis" by Victor Bryant: Chapter 1: Firm Foundations This chapter sets the stage by discussing the essential foundations of mathematical...
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Download Citation: Liebeck, M. W. (2016). A Concise Introduction to Pure Mathematics (Fourth Edition). Boca Raton, FL: CRC Press. Chapter Summary: Chapter 1: Sets and Proofs Introduces basic set theory concepts, the language of sets, and fundamental proof techniques, establishing...
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