New Mathematics The foundation of mathematics is a logical proof based on pure thought, but at the same time, proven statements are generally accepted truths. A conflict exists in mathematics over whether it is a tool for science or an end in itself. While there have been strong movements to reduce mathematical objects to their … Read more
Pure and applied Mathematics – Applied Mathematics Although the fields of pure and applied mathematics overlap, the latter can be said to be most occupied with the solutions to problems and application of methods, in concert with other sciences such as physics or economics. Due to its analytical properties mathematics can be used as a … Read more
Mathematics – Differential Calculus Differential calculus, founded in part by Sir Isaac Newton and Gottfried Wilhelm Leibniz, describes the behavior of a function in infinitely small parts. The information available about, for instance, a hike up a mountain to a certain height above sea level is usually of interest to a hiker, but perhaps how … Read more
Mathematics Mathematics is a science based on abstract notions, which in turn are created by logical thought processes from concepts such as numbers, shapes, and structures. It is distinguished from other sciences by the validity of its findings. Yet, while all findings in the natural sciences must be confirmed by experimentation, only logical thinking proves … Read more
