Fundamental Mathematics

Many people questioned about the benefits of Mathematics during our childhood days. Topology in all its many ramifications may have been the greatest progress area in twentieth-century mathematics; it consists of point-set topology , set-theoretic topology , algebraic topology and differential topology Particularly, situations of modern-day topology are metrizability concept , axiomatic set concept , homotopy principle , and Morse principle Topology also includes the now solved Poincaré conjecture , and the nonetheless unsolved areas of the Hodge conjecture Other results in geometry and topology, including the 4 shade theorem and Kepler conjecture , have been proved only with the help of computers.

The time period utilized mathematics also describes the professional specialty during which...

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