Concepts of Modern Mathematics was created in 1975.
Georg Cantor and Richard Dedekind developed modern set theory.
Mahendra Jani has written: 'Basic concepts of mathematics' 'An introduction to mathematics'
Rene Descartes
Peter Tannenbaum has written: 'Excursions in modern mathematics' -- subject(s): Mathematics 'Excursions in modern mathematics' -- subject(s): Mathematics 'Excursions in Modern Math'
Both. Some mammals and birds, and possibly other creatures, have a basic sense of arithmetic such as the conservation of numbers. To that extent mathematics is discovered. Many concepts of mathematics, even fairly advanced ones such as the Fibonacci sequence, do exist in nature but they had to be noticed and then identified. Sometimes, the concepts had to be made ideal. To illustrate what I mean: there can be no line in nature since a line can only have length and no width. It cannot exist except as a concept and in that sense it was created. There are, of course, mathematical concepts such as imaginary and complex numbers which are purely the work of human brains. Similarly, spaces with 4 or more dimensions are human creations. However, most of what we consider as mathematics, and study at schools and beyond was created.
Mathematics Illuminated - 2008 The Concepts of Chaos 1-13 was released on: USA: 29 July 2008
what is the relevance of natural law in modern concepts of law?
Mathematics became very analytical around the time of Riemann (1826-1866). The mathematics that followed from this is known as modern mathematics. Applied mathematicians may consider more recent mathematics in the second half of the 1900's to be modern mathematics, when computers, economics, and finance (etc) all became huge fields in mathematics.
Tasty Concepts was created in 2003.
Kinetic Concepts was created in 1976.
Advances in Mathematics was created in 1961.
Rethinking Mathematics was created in 2005.