1. What is the object of writing this book?
To transport the reader to the highest level of mathematical awareness and to acquaint him with outstanding mathematical achievements.
2. Which mathematical achievements are being alluded to ?
The foremost of them all is the pluralization of mathematics, i.e., where we had geometry, we now have geometries, and algebras rather than algebra, and number systems rather than number system.
Some others are: Galois' theory of algebraic equations; Godel's incompleteness theorem; Fourier's series and infinite sets; Group Theory; Matrices; complex analysis; Topology; Functional analysis; etc.
To transport the reader to the highest level of mathematical awareness and to acquaint him with outstanding mathematical achievements.
2. Which mathematical achievements are being alluded to ?
The foremost of them all is the pluralization of mathematics, i.e., where we had geometry, we now have geometries, and algebras rather than algebra, and number systems rather than number system.
Some others are: Galois' theory of algebraic equations; Godel's incompleteness theorem; Fourier's series and infinite sets; Group Theory; Matrices; complex analysis; Topology; Functional analysis; etc.
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