Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables
https://doi.org/10.1119/1.15378
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https://doi.org/10.1119/1.15378
Chinese students typically outperform U.S. students on international comparisons of mathematics competency. Paradoxically, Chinese teachers receive far less education than U.S. teachers--11 to 12 years of schooling versus 16 to 18 years of ...
https://doi.org/10.4324/9781410602589
W. V. Quine’s systematic development of mathematical logic has been widely praised for the new material presented and for the clarity of its exposition. This revised edition, in which the minor inconsistencies observed since its first publi...
https://doi.org/10.4159/9780674042469
https://doi.org/10.1007/978-3-642-55753-8
We will overview the results in an informal approach to constructive reverse mathematics, that is reverse mathematics in Bishop’s constructive mathematics, especially focusing on compactness properties and continuous properties....
https://doi.org/10.4000/philosophiascientiae.406
Newton remarked that the laws of nature are expressed by the differential equations that he devised. Individual, and at times very important, differential equations had been considered and solved even earlier, but Newton turned them into an...
https://doi.org/10.1007/978-3-0348-9129-5_3
https://doi.org/10.1007/s11229-018-01981-1
https://doi.org/10.2307/2695264
Mary Leng defends a philosophical account of the nature of mathematics which views it as a kind of fiction (albeit an extremely useful fiction)....
https://doi.org/10.1093/acprof:oso/9780199280797.001.0001
Is speculative mathematics dangerous? Recent interactions between physics and mathematics pose the question with some force: traditional mathematical norms discourage speculation, but it is the fabric of theoretical physics. In practice the...
https://doi.org/10.1090/s0273-0979-1993-00413-0
The twentieth century has witnessed an unprecedented 'crisis in the foundations of mathematics', featuring a world-famous paradox (Russell's Paradox), a challenge to 'classical' mathematics from a world-famous mathematician (the 'mathematic...
https://doi.org/10.1017/cbo9781139171519
An engagingly-written account of mathematical tools and ideas, this book provides a graduate-level introduction to the mathematics used in research in physics. The first half of the book focuses on the traditional mathematical methods of ph...
https://doi.org/10.1017/cbo9780511627040
https://doi.org/10.1007/0-306-47203-1
https://doi.org/10.2307/2321544
William Thomson, first Baron Kelvin (1824–1907), is best known for devising the Kelvin scale of absolute temperature and for his work on the first and second laws of thermodynamics, though throughout his 53-year career as a mathematical phy...
https://doi.org/10.1017/cbo9780511996016
https://doi.org/10.2307/2343473
This is an introduction to, and survey of, the constructive approaches to pure mathematics. The authors emphasise the viewpoint of Errett Bishop's school, but intuitionism. Russian constructivism and recursive analysis are also treated, wit...
https://doi.org/10.1017/cbo9780511565663
Contemporary philosophy of mathematics offers us an embarrassment of riches. Among the major areas of work one could list developments of the classical foundational programs, analytic approaches to epistemology and ontology of mathematics, ...
https://doi.org/10.1093/acprof:oso/9780199296453.001.0001
Abstract Background The microbiome is a complex ecosystem of interdependent taxa that has traditionally been studied through cross-sectional studies. However, longitudinal microbiome studies are becoming increasingly popular. These studies ...
10.1186/s40168-025-02041-w
Most philosophers of mathematics treat it as isolated, timeless, ahistorical, inhuman. Reuben Hersh argues the contrary, that mathematics must be understood as a human activity, a social phenomenon, part of human culture, historically evolv...
https://doi.org/10.5860/choice.35-5132