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Teaching and Learning of Calculus
This survey focuses on the main trends in the field of calculus education. Despite their variety, the findings reveal a cornerstone issue that is strongly linked to the formalism …
Second Year Calculus
Second Year Calculus: From Celestial Mechanics to Special Relativity covers multi-variable and vector calculus, emphasizing the historical physical problems which gave rise to the …
Factorization and Primality Testing
"e;About binomial theorems I'm teeming with a lot of news, With many cheerful facts about the square on the hypotenuse. "e; - William S. Gilbert (The Pirates of Penzance, …
Calculus Reordered
How our understanding of calculus has evolved over more than three centuries, how this has shaped the way it is taught in the classroom, and why calculus pedagogy needs to …
Proofs and Confirmations
This is an introduction to recent developments in algebraic combinatorics and an illustration of how research in mathematics actually progresses. The author recounts the story of …