I would like to share the following book with you. If you are a math lover, and love beautiful books, then you will probably like this one.
A.Knoebel, R.Laubenbacher, J.Lodder, D. Pengelley
Mathematical Masterpieces
Further Chronicles by the Explorers
Springer 2007
Mathematical Masterpieces has 345 pages for four independent chapters, each a story anchored around a masterpiece of mathematical achievement.
The chapters are ( with between brackets the OU course they relate to )
1. The Bridge Between Continuous and Discrete ( MS221 )  This chapter is about the Discrete Calculus and explains calculating sums using the Pascal Triangle.
2. Solving Equations Numerically ( M373 )
3. Curvature and the Notion of Space ( None, don't know )
4. Patterns in Prime Numbers: The Quadratic Reciprocity Law ( M381N )
The book is intended for advanced undergraduates who know at least a year of calculus and have some maturity with mathematics at the upperdivision level.
I am currently reading ( studying ) chapter 4. ( The chapters can be read in any order ).
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I really admire your talent for finding interesting books.
ReplyDeleteI would guess Chapter 3 is about the introduction of Non euclidean geometry into mathematics initiated by Gauss, developed by Riemann and exploited by Einstein in his theory of relativity. Whilst there is not a specific OU maths course on differential geometry (although there used to be) the closest link would be to the astronomy/physics course S383 which is the relativistic universe
part 1 of which includes an introduction to Einstein's theory of relativity.
Correct, chapter 3 is about differential geometry. :)
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