Algebra, Vol. 2 is an advanced elementary text that continues G.
Chrystal’s comprehensive study of algebra for the higher classes of secondary schools and colleges. This edition presents Part II, expanding on the foundations of analysis and the modern theory of functions, with an emphasis on the Doctrine of Limits, convergence, and the role of series in the Infinitesimal Calculus.
The book discusses the shift away from premature calculus, balancing rigorous ideas with practical instruction. It includes a thorough treatment of limits, inequalities, and the convergence of series, along with developments in probability—aimed at applying actuarial thinking to real problems. The author also introduces modern notions of functions and their applications, while avoiding overreliance on symbolic formalism.
- Clear discussion of limits, convergence, and the role of infinite series in modern mathematics
- Accessible exploration of probability concepts and actuarial calculation
- Connections between algebra, trigonometry, and early function theory
- Guidance on approaching challenging passages and building a solid mathematical foundation
Ideal for readers preparing for advanced studies in mathematics, or teachers seeking a rigorous, historically informed resource on algebra's next stage.
nonfiction