Search results
Results From The WOW.Com Content Network
In 2009 the government of Mexico created a regulatory pathway for genetically modified maize, [85] but because Mexico is the center of diversity for maize, gene flow could affect a large fraction of the world's maize strains. [86] [87] A 2001 report in Nature presented evidence that Bt maize was cross-breeding with unmodified maize in Mexico. [88]
Euclidean geometry is a mathematical system attributed to the Alexandrian Greek mathematician Euclid, which he described (although non-rigorously by modern standards) in his textbook on geometry: the Elements. Euclid's method consists in assuming a small set of intuitively appealing axioms, and deducing many other propositions from these.
The Saxon Math 1 to Algebra 1/2 (the equivalent of a Pre-Algebra book) curriculum [3] is designed so that students complete assorted mental math problems, learn a new mathematical concept, practice problems relating to that lesson, and solve a variety of problems. Daily practice problems include relevant questions from the current day's lesson ...
The books in this series, like the other Springer-Verlag mathematics series, are small yellow books of a standard size. The books in this series tend to be written at a more elementary level than the similar Graduate Texts in Mathematics series, although there is a fair amount of overlap between the two series in terms of material covered and ...
Birkhoff's axiomatic system was utilized in the secondary-school textbook by Birkhoff and Beatley. [2] These axioms were also modified by the School Mathematics Study Group to provide a new standard for teaching high school geometry, known as SMSG axioms. A few other textbooks in the foundations of geometry use variants of Birkhoff's axioms. [3]
25 Dirac Operators in Riemannian Geometry, Thomas Friedrich (2000, ISBN 978-0-8218-2055-1) 26 An Introduction to Symplectic Geometry, Rolf Berndt (2001, ISBN 978-0-8218-2056-8) 27 A Course in Differential Geometry, Thierry Aubin (2001, ISBN 978-0-8218-2709-3) 28 Notes on Seiberg-Witten Theory, Liviu I. Nicolaescu (2000, ISBN 978-0-8218-2145-9)
Removing five axioms mentioning "plane" in an essential way, namely I.4–8, and modifying III.4 and IV.1 to omit mention of planes, yields an axiomatization of Euclidean plane geometry. Hilbert's axioms, unlike Tarski's axioms, do not constitute a first-order theory because the axioms V.1–2 cannot be expressed in first-order logic.
The diagram accompanies Book II, Proposition 5. [1] This is a list of important publications in mathematics, organized by field. Some reasons a particular publication might be regarded as important: Topic creator – A publication that created a new topic; Breakthrough – A publication that changed scientific knowledge significantly