Download e-book for iPad: A Mathematician Comes of Age by Steven G. Krantz

By Steven G. Krantz

ISBN-10: 088385578X

ISBN-13: 9780883855782

This e-book is ready the concept that of mathematical adulthood. Mathematical adulthood is significant to a arithmetic schooling. The target of a arithmetic schooling is to remodel the coed from an individual who treats mathematical principles empirically and intuitively to anyone who treats mathematical rules analytically and will keep watch over and control them effectively.

Put extra without delay, a mathematically mature individual is one that can learn, learn, and evaluation proofs. And, most importantly, he/she is person who can create proofs. For this can be what glossy arithmetic is all approximately: bobbing up with new rules and validating them with proofs.

The booklet offers historical past, information, and research for figuring out the concept that of mathematical adulthood. It turns the assumption of mathematical adulthood from a subject for coffee-room dialog to a subject matter for research and critical consideration.

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Extra resources for A Mathematician Comes of Age

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Simons was also the founding Chairman of the mathematics department at SUNY Stony Brook, and deserves much of the credit for making Stony Brook the geometric powerhouse that it is today. To everyone’s surprise, in the late 1970s Simons decided to quit mathematics. Cold. One reason he gave was that he had become interested in investing, and had decided to open an investment house. The other is that he had been working on a particular research problem for quite some time and it was driving him absolutely crazy.

Mathematics education professor Alan Schoenfeld characterizes mathematics as follows: Mathematics is an inherently social activity, in which a community of trained practitioners (mathematical scientists) engages in the science of patterns—systematic attempts, based on observation, study, and experimentation, to determine the nature or principles of regularities in systems defined axiomatically or theoretically (“pure mathematics”) or models of systems abstracted from real world objects (“applied mathematics”).

Some of their shapes—like the right circular cylinder—are straightforward to handle. Seventy-five years ago, that was the shape of most any pill. But modern marketing strategies today entail that each brand of pill have its own special “caplet” shape. And in fact, for practical reasons of drafting, the caplet shapes were specified for me as several arcs of circles (of different radii) pasted together. Calculating surface areas and volumes for such shapes is rather tricky. The people who asked me to do this job were not mathematically mature.

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A Mathematician Comes of Age by Steven G. Krantz

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