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Pólya's book has had a large influence on mathematics textbooks as evidenced by the bibliographies for mathematics education. [28] Russian inventor Genrich Altshuller developed an elaborate set of methods for problem solving known as TRIZ, which in many aspects reproduces or parallels Pólya's work.
The Princeton Companion to Mathematics is a book providing an extensive overview of mathematics that was published in 2008 by Princeton University Press. Edited by Timothy Gowers with associate editors June Barrow-Green and Imre Leader , it has been noted for the high caliber of its contributors.
The Princeton Lectures in Analysis is a series of four mathematics textbooks, each covering a different area of mathematical analysis. They were written by Elias M. Stein and Rami Shakarchi and published by Princeton University Press between 2003 and 2011.
The book was originally published in German in 1932 by Springer. [2] It was translated into French by Alexandru Proca in 1946, [6] and into Spanish in 1949. [7] An English translation by Robert T. Beyer was published in 1955 by Princeton University Press. A Russian translation, edited by Nikolay Bogolyubov, was published by Nauka in 1964. A new ...
Between 1963 and 1992 he was a frequent visiting scholar at the Institute for Advanced Study in Princeton. [1] Almgren wrote one of the longest papers in mathematics, [2] proving what is now called the Almgren regularity theorem: the singular set of an m-dimensional mass-minimizing surface has dimension at most m−2.
The book begins with a historical overview of the long struggles with the parallel postulate in Euclidean geometry, [3] and of the foundational crisis of the late 19th and early 20th centuries, [6] Then, after reviewing background material in real analysis and computability theory, [1] the book concentrates on the reverse mathematics of theorems in real analysis, [3] including the Bolzano ...
The book is intended for a non-specialist audience, avoids technical detail [2] [4] [11] and is written "in an easy to understand style". [12] It includes many historical asides, examples, applications, and biographical information and photographs of key players in the story, making it accessible to readers without a mathematical background.
The Crest of the Peacock: Non-European Roots of Mathematics is a book authored by George Gheverghese Joseph, and was first published by Princeton University Press in 1991. . The book was brought out as a response to view of the history of mathematics epitomized by Morris Kline's statement that, comparing to what the Greeks achieved, "the mathematics of Egyptians and Babylonians is the ...