Bøger af Terence Tao

Part one of a two-volume introduction to real analysis. The emphasis is on rigour and on foundations. The material starts at the very beginning - the construction of the number systems and set theory - then goes on to the basics of analysis, through to power series, variable calculus and Fourier analysis, and finally to the Lebesgue integral.

Part two of a two-volume introduction to real analysis. The emphasis is on rigour and on foundations. The material starts at the very beginning - the construction of the number systems and set theory - then goes on to the basics of analysis, through to power series, variable calculus and Fourier analysis, and finally to the Lebesgue integral.

Contains articles that discuss a wide range of mathematics and its applications, ranging from expository articles on quantum mechanics, Einstein's equation E = mc2, or compressed sensing, to open problems in analysis, combinatorics, geometry, number theory, and algebra, to lecture series on random matrices, and Fourier analysis.