Download Citation: Allenby, R. B. J. T. (1991). Rings, Fields and Groups, An Introduction to Abstract Algebra. Edward Arnold & Butterworth-Heinemann. Chapter Summary: Chapter 1: Numbers and Polynomials Explores basic properties of integers and polynomials, including divisibility, primes, and the...
Download Citation: Cameron, P. J. (2008). Introduction to Algebra (2nd ed.). Oxford University Press. Chapter Summary: Chapter 1: Introduction Provides a foundational overview of algebra, including basic concepts of proofs, numbers, algebraic manipulations, sets, functions, relations, matrices, and permutations. Designed...
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...
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...