TY - BOOK
AU - Simmons,George F.
TI - Calculus gems: brief lives and memorable mathematics
SN - 9780883855614
PY - 2007///
CY - Washington
PB - The Mathematical Association of America
KW - Mathematicians
KW - Biography
KW - Calculus
KW - History
KW - CÃ¡lculo
KW - Historia
KW - MatemÃ¡ticas
N1 - BibliografÃa
N2 - The first half of Calculus Gems, entitled Brief Lives, is a biological history of mathematics from the earliest times to the late nineteenth century. The author shows that science-and mathematics in particular-is something that people do, and not merely a mass of observed data and abstract theory. He demonstrates the profound connections that join mathematics to the history of philosophy and also to the broader intellectual and social history of Western Civilization. The second half of the book contains nuggets that Simmons has collected from number theory, geometry, science, etc., which he has used in his mathematics classes. G.H. Hardy once said, "A mathematician, like a painter or poet, is a maker of patters. If his patterns are more permanent than theirs, it is because they are made with ideas." This part of the book contains a wide variety of these patterns, arranged in an order roughly corresponding to the order of the ideas in most calculus courses. Some of the sections even have a few problems. Professor Simmons tells us in the preface of Calculus Gems: "I hold the naive but logically impeccable view that there are only two kinds of students in our colleges and universities; those who are attracted to mathematics, and those who are not yet attracted, but might be. My intended audience embraces both types." The overall aim of the book is to answer the question, "What is mathematics for?" With its inevitable answer, "To delight the mind and help us understand the world."
ER -