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Stillwell is the author of many textbooks and other books on mathematics including: Classical Topology and Combinatorial Group Theory, 1980, ISBN 0-387-97970-0. 2012 pbk reprint of 1993 2nd edition ISBN 978-0-387-97970-0. Mathematics and Its History, 1989, pbk reprint of 2nd edition 2002; 3rd edition 2010, ISBN 0-387-95336-1 [7]
Early expressions of Lie theory are found in books composed by Sophus Lie with Friedrich Engel and Georg Scheffers from 1888 to 1896.. In Lie's early work, the idea was to construct a theory of continuous groups, to complement the theory of discrete groups that had developed in the theory of modular forms, in the hands of Felix Klein and Henri Poincaré.
The 1972 Pulitzer Prize Winner in General Nonfiction. First edition. Stilwell and the American Experience in China, 1911–45 is a work of history written by Barbara W. Tuchman and published in 1971 by Macmillan Publishers. [1] It won the 1972 Pulitzer Prize for General Non-Fiction. [2] The book was republished in 2001 by Grove Press [3] It was ...
Logical positivism, later called logical empiricism, and both of which together are also known as neopositivism, is a movement whose central thesis is the verification principle (also known as the verifiability criterion of meaning). [1] This theory of knowledge asserts that only statements verifiable through direct observation or logical proof ...
The affine group of one dimension is a two-dimensional matrix Lie group, consisting of. 2 × 2 {\displaystyle 2\times 2} real, upper-triangular matrices, with the first diagonal entry being positive and the second diagonal entry being 1. Thus, the group consists of matrices of the form.
In a 1997 study, Ralph Hertwig, Gerd Gigerenzer, and Ulrich Hoffrage linked the illusory truth effect to the phenomenon known as "hindsight bias", described as a situation in which the recollection of confidence is skewed after the truth or falsity has been received. They have described the effect (which they call "the reiteration effect") as a ...
In social psychology, naïve realism is the human tendency to believe that we see the world around us objectively, and that people who disagree with us must be uninformed, irrational, or biased. Naïve realism provides a theoretical basis for several other cognitive biases, which are systematic errors when it comes to thinking and making decisions.
March 2015. In epistemology, criteria of truth (or tests of truth) are standards and rules used to judge the accuracy of statements and claims. They are tools of verification, and as in the problem of the criterion, the reliability of these tools is disputed. Understanding a philosophy 's criteria of truth is fundamental to a clear evaluation ...