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An Infinite Descent into Pure Mathematics
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  • Title: An Infinite Descent into Pure Mathematics
  • Author(s) Clive Newstead
  • Publisher: Self Publishing (December 2022); eBook (Creative Commons Licensed)
  • License(s): Creative Commons License (CC)
  • Hardcover/Paperback: N/A
  • eBook: PDF (628 pages)
  • Language: English
  • ISBN-10/ASIN: N/A
  • ISBN-13: N/A
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Book Description

The goal of this book is to help the reader make the transition from being a consumer of mathematics to a producer of it. This is what is meant by ‘pure’ mathematics. While a consumer of mathematics might learn the chain rule and use it to compute a derivative, a producer of mathematics might derive the chain rule from the rigorous definition of a derivative, and then prove more abstract versions of the chain rule in more general contexts (such as multivariate analysis).

About the Authors
  • Clive Newstead is an Assistant Teaching Professor at Carnegie Mellon University, and a Yorkshireman living in America.
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