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Everything you always wanted to know about mathematics (2013) [pdf]

math.cmu.edu

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Re: Everything you always wanted to know about mathematics (2013) [pdf]

#16
post #5

Judging by the URL, this book was used for CMU's 15-151 / 21-128, which is a first-semester course for CS and math undergrads. Nowadays, the course uses [0]. [0] https://infinitedescent.xyz/

Thanks for this resource. It also serves as a LaTeX math example --- the source for the book is provided.

Re: Everything you always wanted to know about mathematics (2013) [pdf]

#17

"This work is submitted in partial fulfillment of the requirements for the degree of Doctor of Arts in Mathematical Sciences." So does that mean this is his PhD thesis? What's a Doctor of Arts?

It's a doctoral degree with a heavy emphasis on pedagogy and teaching. From https://www.cmu.edu/math/grad/phd/index.html:

> The Doctor of Arts degree shares all requirements and standards with the Ph.D., except with regard to the thesis. The D.A. thesis is not expected to display the sort of original research required for a Ph.D. thesis, but rather to demonstrate an ability to organize, understand, and present mathematical ideas in a scholarly way, usually with sufficient innovation and worth to produce a publishable work. Whenever practical, the department provides D.A. candidates with the opportunity to use materials developed to teach a course. While a typical Ph.D. recipient will seek a position that has a substantial research component, the D.A. recipient will usually seek a position where research is not central.

Re: Everything you always wanted to know about mathematics (2013) [pdf]

#18

"This work is submitted in partial fulfillment of the requirements for the degree of Doctor of Arts in Mathematical Sciences." So does that mean this is his PhD thesis? What's a Doctor of Arts?

https://en.wikipedia.org/wiki/Doctor_of_Arts

Re: Everything you always wanted to know about mathematics (2013) [pdf]

#20
post #5

Judging by the URL, this book was used for CMU's 15-151 / 21-128, which is a first-semester course for CS and math undergrads. Nowadays, the course uses [0]. [0] https://infinitedescent.xyz/

Does this replace the OP? Or is "An Infinite Descent into Pure Mathematics" a complementary book?
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