Introduction to the National Arithmetic, on the Inductive System, Combining the Analytic and Synthetic Methods: In Which the Principles of the Science ... Schools and Academies (Classic Reprint) - Softcover

Benjamin Greenleaf

 
9780266211426: Introduction to the National Arithmetic, on the Inductive System, Combining the Analytic and Synthetic Methods: In Which the Principles of the Science ... Schools and Academies (Classic Reprint)

Synopsis

This book explores arithmetic, a foundational pillar of mathematics, building up a pupil's arithmetic abilities from numeration to multiplication and division. The author seeks to develop conceptual understanding of arithmetic principles and introduce problem-solving by reason rather than rote-learning by repetition. Initially, the reader is guided through number notation and calculation with both Arabic and Roman numerals, establishing fluency in the core disciplines. The book then progresses through the fundamental operations of addition, subtraction, multiplication, and division, providing a robust basis for the study of more advanced mathematics. Ultimately, the insights in this book serve to highlight the universality of arithmetic; its principles and methods are unchanging tools, essential for navigating any field where quantitative reasoning and calculation are necessary.

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