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This text introduces fundamental ideas of algebraic numbers and explores one of the most intriguing stories in the history of mathematics-the quest for a proof of Fermat's Last Theorem. The authors use this celebrated theorem to motivate a general study of the theory of algebraic numbers from a relatively concrete point of view. Along with sever

How Humans Learn to Think Mathematically describes the development of mathematical thinking from the young child to the sophisticated adult. Professor David Tall's analysis offers a shared framework for understanding mathematical growth from practical beginnings through theoretical developments, to the continuing evolution of mathematical thinking.

How Humans Learn to Think Mathematically describes the development of mathematical thinking from the young child to the sophisticated adult.

This book is the first major study of advanced mathematical thinking as performed by mathematicians and taught to students in senior high school and university. Topics covered include the psychology of advanced mathematical thinking, the processes involved, mathematical creativity, proof, the role of definitions, symbols, and reflective abstraction. It is highly appropriate for the college professor in mathematics or the general mathematics ed...

This book is the first major study of advanced mathematical thinking as performed by mathematicians and taught to students in senior high school and university. Topics covered include the psychology of advanced mathematical thinking, the processes involved, mathematical creativity, proof, the role of definitions, symbols, and reflective abstraction. It is highly appropriate for the college professor in mathematics or the general mathematics ed...

Imparare a pensare matematicamente" descrive lo sviluppo del pensiero matematico dall'età infantile a quella adulta, più complessa. Il Professor David Tall spiega perché i concetti matematici che hanno senso in un contesto possono diventare problematici in un altro. Per esempio, l'esperienza che un bambino ha dei numeri interi in aritmetica influenza successivamente la comprensione delle frazioni, dei numeri negativi, dell'algebra, e dei conce...