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Elements of Mathematics: A Problem-Centered Approach to History and Foundations

Posted By: hill0
Elements of Mathematics: A Problem-Centered Approach to History and Foundations

Elements of Mathematics: A Problem-Centered Approach to History and Foundations
(Undergraduate Texts in Mathematics)

English | 2021 | ISBN: 3030750507 | 542 Pages | PDF EPUB | 26 MB


This textbook offers a rigorous presentation of mathematics before the advent of calculus. Fundamental concepts in algebra, geometry, and number theory are developed from the foundations of set theory along an elementary, inquiry-driven path. Thought-provoking examples and challenging problems inspired by mathematical contests motivate the theory, while frequent historical asides reveal the story of how the ideas were originally developed.