The Construction of Mathematics: The Human Mind's Greatest Achievement Paperback – March 2, 2017
"Devoted" by Dean Koontz
For the first time in paperback, from Dean Koontz, the master of suspense, comes an epic thriller about a terrifying killer and the singular compassion it will take to defeat him. | Learn more
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About the Author
- Item Weight : 1.04 pounds
- Paperback : 320 pages
- ISBN-10 : 0966355431
- ISBN-13 : 978-0966355437
- Product Dimensions : 6 x 0.8 x 9 inches
- Publisher : Leibniz Company (March 2, 2017)
- Language: : English
- Customer Reviews:
Top reviews from the United States
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And third, but certainly not least, it is a powerful, and to some, convincing argument that mathematics is a construction or invention, not the discovery of an existing edifice of facts and theorems sitting out there, waiting to be discovered.
As an engineer by training myself, I was naturally sympathetic to the author's point of view even before I read the book. But Truemper has greatly strengthened any feeble arguments I might have made in defense of my belief. But whether you are in agreement or believe the opposite, or even if you are agnostic about it and curious, this book is a must read.
Truemper's style is lucid, but he makes his case with care rather than dramatic flair. Despite his rather wry style, the subject matter carries it's own interest and the reader will not be bored if he or she has even a moderate interest in the history of mathematics.
The simplicity with which Dr. Truemper describes complex notions in mathematics is beautiful. In each chapter I found myself drawing deep connections among mathematical ideas that I’ve struggled to understand throughout my education. Many of these connections make topics that were once confounding seem trivial.
I especially enjoyed Chapter Four, wherein Dr. Truemper sheds light on the notion of infinity and how it expands math beyond the physical constraints of the "real" world around us. Dr. Truemper's description of the development of Calculus from Leibniz and Newton is great, along with his follow up showing how Cauchy and others took these ideas beyond an explanation of nature with their development of the continuity of functions. Dr. Truemper gives the reader real insight into how one can deal with functions and solve problems at the forefront of math and science. His chapter explaining the origins of the notion of infinity should become a part of every undergraduate course taught on Calculus and Engineering Math!
Thank you, Dr. Truemper, for this wonderful work of art. It’s a true masterpiece.