Abstract
This book is a basic introduction to Distance Geometry (DG): it gives an overview of the mathematical theory of DG. Our point of view derives from our motivation to apply DG methods to the problem of finding the structure of proteins given some of the interatomic distances.
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Notes
- 1.
We suspect that Menger chose an axiomatization of geometry by distances because all of the other axiomatizations had been already taken by people like Hilbert, Bernays, Tarski, or Carnap...
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This was probably one of Menger’s smartest career moves.
- 3.
Explaining away the apparent contradiction in terms between the completeness and incompleteness theorems is even more perversely left as an “easy exercise” for the reader—allowed solution time: approximately 2 years. Hint: consult [50].
- 4.
Calling this work a “paper” is overkill—it is more like a one page abstract in Menger’s seminar proceedings [95].
- 5.
This belief is based on no other assumption that, if we were in their place, we would use this technique a lot.
- 6.
Use the forward slash “/” as a directory separator for both Unix and Windows.
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Liberti, L., Lavor, C. (2017). Motivation. In: Euclidean Distance Geometry. Springer Undergraduate Texts in Mathematics and Technology. Springer, Cham. https://doi.org/10.1007/978-3-319-60792-4_1
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DOI: https://doi.org/10.1007/978-3-319-60792-4_1
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Publisher Name: Springer, Cham
Print ISBN: 978-3-319-60791-7
Online ISBN: 978-3-319-60792-4
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