Title: Popular Mathematics: Being the First Elements of Arithmetic, Algebra, and Geometry, in Their Relations and Uses
Publisher: HardPress Ltd
Publication Date: 2021
Language: English
ISBN 10: 0371720036
ISBN 13: 9780371720035
Binding: Paperback / softback
Condition: New
Weight: 526 grams

About this title

Synopsis

Popular Mathematics: Being The First Elements Of Arithmetic, Algebra, And Geometry, In Their Relations And Uses — Robert Mudie is an accessible foundational text aimed at general readers to foster an active, living sense of mathematical thinking rather than a mere reference of rules. It emphasizes clear concepts, historical perspective, and the view that mathematics is a universal, liberating tool of thought, usable across disciplines. The work sets out three modes of knowing—observation, testimony, and proof by reasoning—and distinguishes thesis, hypothesis, and the role of proofs in establishing knowledge. It organizes mathematics into three branches—Algebra, Geometry, and Arithmetic—with quantity as the central object and proportion as a fundamental idea for comparing quantities. It moves from decimal notation and arithmetic data to algebraic thinking, stressing understanding over rote rules and focusing on data sufficiency. Rich with concrete illustrations, it introduces circle geometry, similarity, and area relations, and links arithmetic with geometric reasoning to illuminate practical problems. The treatise aims to cultivate precise language, diagrammatic reasoning, and the habit of mathematical thinking.

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